The RS 10 from Star Born by Andre Norton, 1957. Artwork by Dean Ellis. Judging from the size of the people, the ship is approximately 70 meters high (240 feet).
Introduction
RocketCat sez
Here is your handy-dandy cheat-sheet of rocket engines. Use this as a jumping-off point, there is no way I can keep this up-to-date. Google is your friend!
I'll point out a few of the more useful items on the sheet:
Aluminum-Oxygen is feeble, but is great for a lunar base (the raw materials are in the dirt).
VASIMR is the current favorite among ion-drive fans. Use this with orbit-to-orbit ships that never land on a planet. It can "shift gears" like an automobile.
Solar Moth might be a good emergency back-up engine.
Nuclear Thermal Gas Core Closed-Cycle is an attempt to have the advantages of both nuclear solid core and gas core, but often has the disadvantages of both. It has about half the exhaust velocity of an open-cycle atomic rocket.
Orion Nuclear Pulse is a rocket driven by detonating hundreds of nuclear bombs. If you can get past freaking out about the "bomb" part, it actually has many advantages. Don't miss the Medusa variant.
Zubrin's Nuclear Salt Water This is the most over-the-top rocket. Imagine a continuously detonating Orion drive. There are many scientist who question how the rocket can possibly survive turning the drive on.
There is a nice basic overview of propulsion systems here.
You can spend lots of time researching spacecraft propulsion systems. But you are in luck, I've got some data for you. Most of this is from Philip Eklund's out of print boardgame Rocket Flight, the impressive Spaceship Handbook, and the indispensable Space Propulsion Analysis and Design. The rest is from various places I found around the internet, and no, I didn't keep track of where I got them. Use at your own risk.
Philip Eklund has a new boardgame out called High Frontier, which has the Atomic Rockets seal of approval (be sure to get the expansion pack as well). It has even more cutting-edge but scientifically accurate propulsion systems, which will eventually find there way onto this web page. (more details here, here, here, and here.)
If you don't like the values in the table, do some research to see if you can discover values you like better. Also note that the designs in the list are probably optimized for high exhaust velocities at the expense of thrust. There is a chance that some can be altered to give enough thrust for lift-off at the expense of exhaust velocity. Or you can just give up and go beg Mr. Tyco Bass for some atomic tri-tetramethylbenzacarbonethylene. Four drops should do the trick.
Some engines require electricity in order to operate. These have their megawatt requirements listed under "Power Requirements". With these engines, the Engine Mass value includes the mass of the power plant (unless the value includes "+pp", which means the mass value does NOT include the mass of the power plant). The power plant mass can be omitted if the spacecraft relies on beamed power from a remote power station. Alas, I could find no figures on the mass of the power plant. If the plant is nuclear, it probably has a mass of around 0.5 to 10 tons per megawatt. If it is beamed power the mass is of course zero. Efficiency is the percentage of the power requirements megawatts that are actually turned into thrust. The rest becomes waste heat and has to be removed with heat radiators.
T/W >1.0 = Thrust to Weight ratio greater than zero? This boils down to: can this engine be used to take off from Terra's surface? If the answer is "no" use it only for orbit to orbit maneuvers. It is calculated by figuring if the given thrust can accelerate the engine mass greater than one gee of acceleration. As a rule of thumb, a practical spacecraft capable of lifting off from the Earth's surface will require a T/W of about 50 to 75.
Most propulsion systems fall into two categories: SUV and economy. SUV propulsion is like an SUV automobile: big and muscular, but the blasted thing gets a pathetic three miles to the gallon. Economy propulsion has fantastic fuel economy, but has trouble climbing low hills. In the world of rockets, good fuel economy means a high "specific impulse" (Isp) and high exhaust velocity. And muscle means a high thrust.
The only vaguely possible propulsion system that has both high exhaust velocity and high thrust is the Nuclear Salt Water Rocket, and not a few scientist have questions about its feasibility. Well, actually there is also Project Orion, but that has other problems (see below). In science fiction, one often encounters the legendary "fusion drive" or
"torchship", which is a high exhaust velocity + high thrust propulsion system that modern science isn't sure is even possible.
With ion engines, chemical engines, and nuclear torches we're facing a classic Newton's Third Law problem. Somehow the exhaust needs to have sufficient momentum for the opposite reaction to give the ship a good acceleration.
Chemical rockets solve the problem by expelling a ton of mass at a relatively low velocity. (high propellant mass flow but low exhaust velocity: SUV)
Ion drives expel a tiny amount of mass, so to get anywhere they get it moving FAST, but even at gigawatts of power they get a measly 0.0001g. (low propellant mass flow but high exhaust velocity: Economy)
Torch drives take a small-to-moderate amount of mass and use nuclear destruction to get it moving insanely fast. (medium propellant mass flow and high exhaust velocity: Torch) They're the only ones (insert disclaimer) with enough power per unit of reaction mass to get 0.3g constant acceleration conveniently. Even a perfect ion drive would need a phenomenal (read: impossible) amount of power input to match the performance of a nuclear explosion.
(A low propellant mass flow and low exhaust velocity engine would be utterly worthless)
All drives listed in the table whose names end in "MAX" require some sort of technological breakthrough to to prevent the engine from vaporizing and/or absurdly large reaction chamber sizes.
If these figures result in disappointing rocket performance, in the name of science fiction you can tweak some of them and claim it was due to a technological advance. You are allowed to tweak anything who's name does not end in "MAX". You can alter the Thrust, Engine Mass, and/or the Eff, but no
other values. If there is a corresponding "MAX" entry for the engine you are tweaking, you cannot alter any of the values above the "MAX" entry (i.e., you are not allowed to tweak NTR-SOLID-DUMBO's thrust above 7,000,000, which is the value in the NTR-SOLID MAX entry).
The engines are sorted by thrust power, since that depends on both exhaust velocity and thrust. So engines that high in both of those parameters will be towards the end of the list. This is useful for designers trying to make spacecraft that can both blast-off from a planet's surface and do efficient orbital transfers.
If one was trying to design a more reasonable strictly orbit-to-orbit spacecraft one would want the engine list sorted by exhaust velocity. And surface-to-orbit designers would want the list sorted by thrust.
Basically a NERVA design where a tungsten target replaces the reactor. 13 micrograms per second of antiprotons are annihilated. The gamma rays and pions are captured in the tungsten target, heating it. The tungsten target in turn heats the hydrogen. Produces high thrust but the specific impulse is limited due to material constraints (translation: above a certain power level the blasted tungsten melts)
Image courtesy of Positronics Research, LLC
Gas Core
AM: Gas
Exhaust Velocity
24,500 m/s
Specific Impulse
2,497 s
Fuel
Antimatter: antihydrogen
Reactor
Liquid Core
Remass
Water
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Magnetic Nozzle
Microscopic amounts of antimatter are injected into large amounts of water or hydrogen propellant. The intense reaction flashes the propellant into plasma, which exits through the exhaust nozzle. Magnetic fields constrain the charged pions from the reaction so they heat the propellant,
but uncharged pions escape and do not contribute any heating. Less efficient than AM-Solid core, but can achieve a higher specific impulse. For complicated reasons, a spacecraft optimized to use an antimatter propulsion system need never to have a mass ratio greater than 4.9, and may be as low as 2. No matter what the required delta V, the spacecraft requires a maximum of 3.9 tons of reaction mass per ton of dry mass, and a variable amount of antimatter measured in micrograms to grams.
Well, actually this is not true if the delta V required approaches the speed of light, but it works for normal interplanetary delta Vs. And the engine has to be able to handle the waste heat.
Plasma Core
AM: Plasma
Water
Exhaust Velocity
980,000 m/s
Specific Impulse
99,898 s
Thrust
61,000 N
Thrust Power
29.9 GW
Mass Flow
0.06 kg/s
T/W
0.01
Remass
Water
Specific Power
17 kg/MW
Hydrogen
Exhaust Velocity
7,840,000 m/s
Specific Impulse
799,185 s
Thrust
49,000 N
Thrust Power
0.2 TW
Mass Flow
0.01 kg/s
T/W
0.01
Remass
Liquid Hydrogen
Specific Power
3 kg/MW
Both
Total Engine Mass
500,000 kg
Fuel
Antimatter: antihydrogen
Reactor
Plasma Core
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Magnetic Nozzle
Similar to antimatter gas core, but more antimatter is used, raising the propellant temperature to levels that convert it into plasma. A magnetic bottle is required to contain the plasma.
Beam Core
AM: Beam
Exhaust Velocity
100,000,000 m/s
Specific Impulse
10,193,680 s
Thrust
10,000,000 N
Thrust Power
500.0 TW
Mass Flow
0.10 kg/s
Total Engine Mass
10,000 kg
T/W
102
Fuel
Antimatter: antihydrogen
Reactor
Antimatter Catalyzed
Remass
Reaction Products
Remass Accel
Annihilation
Thrust Director
Magnetic Nozzle
Specific Power
2.00e-05 kg/MW
Microscopic amounts of antimatter are reacted with equal amounts of matter. Remember: unless you are using only electron-positron antimatter annihilation, mixing matter and antimatter does NOT turn them into pure energy. Instead you get some energy, some charged particles, and some uncharged particles.
The charged pions from the reaction are used directly as thrust, instead of being used to heat a propellant. A magnetic nozzle channels them. Without a technological break-through, this is a very low thrust propulsion system.
All antimatter rockets produce dangerous amounts of gamma rays. The gamma rays and the pions can transmute engine components into radioactive isotopes. The higher the mass of the element transmuted, the
longer lived it is as a radioisotope.
Image courtesy of NASA
Positron Ablative
Positron Ablative
Exhaust velocity
49,000 m/s
This engine produces thrust when thin layers of material in the nozzle are vaporized by positrons in tiny capsules surrounded by lead. The capsules are shot into the nozzle compartment many times per second. Once in the nozzle compartment, the positrons are allowed to interact with the capsule, releasing gamma rays. The lead absorbs the gamma rays and radiates lower-energy X-rays, which vaporize the nozzle material. This complication is necessary because X-rays are more efficiently absorbed by the nozzle material than gamma rays would be.
Drawbacks include the fact that you need 1836 positrons to equal the energy of a single anti-proton, and only half the positrons will hit the pusher plate limiting the efficiency to 50%.
Similar to Solar Moth, but uses a stationary ground or space-station based laser instead of the sun. Basically the propulsion system leaves the power plant at home and relies upon a laser beam instead of an incredibly long extension cord.
As a rule of thumb, the collector mirror of a laser thermal rocket can be much smaller than a comparable solar moth, since the laser beam probably has a higher energy density than natural sunlight.
With the mass of the power plant not actually on the spacecraft, more mass is available for payload. Or the reduced mass makes for a higher mass ratio to increase the spacecraft's delta V. The reduced mass also increases the acceleration. In some science fiction novels, combat "motherships" will have batteries of lasers, used to power hordes of ultra-high acceleration missiles and/or fighter spacecraft.
The drawback include the fact that there is a maximum effective range you can send a worthwhile laser beam from station to spacecraft, and the fact that the spacecraft is at the mercy of whoever is controlling the laser station.
Propellant is hydrogen seeded with alkali metal. As always the reason for seeding is that hydrogen is more or less transparent so the laser beam will mostly pass right through without heating the hydrogen. The seeding make the hydrogen more opaque so the blasted stuff will heat up. Having said that, the Mirror Steamer has an alternate solution.
The equations for delta V and mass ratio are slightly different for a Solar Moth or Laser Thermal rocket engine:
Δv = sqrt((2 * Bp * Bε) / mDot) * ln[R]
R = e(Δv/sqrt((2 * Bp * Bε) / mDot)
where
Δv = ship's total deltaV capability (m/s)
R = ship's mass ratio
Bp = Beam power (watts) of either laser beam or solar energy collected
Bε = efficiency with which engine converts beam power into exhaust kinetic energy (0.0 to 1.0, currently about 0.3)
ln[x] = natural logarithm of x, the "ln" key on your calculator
ex = antilog base e or inverse of natural logarithm of x, the "ex" key on your calculator
Mirror Steamer Robonaut patent card from the game High Frontier.
A rocket can be driven by high-energy, short-duration
(<10-10 sec) laser pulses, focused on a solid propellant.
A double-pulse system
is used: the first pulse ablates material and the second further heats the ablated
gas. A low Z propellant, such as graphite, obtains the best specific impulse
(4 ksec). Unfortunately, ice is not a suitable medium due to melting and “dribbling”
losses.
Primary and secondary mirrors focus the pulses at irradiances of 3 × 1013
W/cm2. The mass-removal rate is 3 μg per laser pulse. Powered with a 60 MW
beam, an ablative laser thruster has a thrust of 2.4 kN and, with a fuel tuned to the
firing sequences and an efficient double-pulsed shape, the overall efficiency is 80%.
“Specific impulse and other characteristics of elementary propellants for ablative laser propulsion”, Dr. Andrew V. Pakhomov,
Associate Professor at the Department of Physics, UAH, 2002.
As an important point, the practical minimum acceleration for a spacecraft is about 5 milligees. Otherwise it will take years to change orbits. Photo sails can only do up to 3 milligees, but a laser sail can do 5 milligees easily.
Solar Moth
Solar Moth
Exhaust Velocity
9,000 m/s
Specific Impulse
917 s
Thrust
4,000 N
Thrust Power
18.0 MW
Mass Flow
0.44 kg/s
Total Engine Mass
100 kg
T/W
4
Thermal eff.
65%
Total eff.
65%
Fuel
Solar Photons
Reactor
Collector Mirror
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Collector Mirror
Thrust Director
Nozzle
Specific Power
6 kg/MW
Solar thermal rocket. 175 meter diameter aluminum coated reflector concentrates solar radiation onto a window chamber hoop boiler, heating and expanding the propellant through a regeneratively-cooled hoop nozzle. The concentrating mirror is one half of a giant inflatable balloon, the other half is transparent (so it has an attractive low mass).
The advantage is that you have power as long as the sun shines and your power plant has zero mass (as far as the spacecraft mass is concerned). The disadvantage is it doesn't work well past the orbit of Mars. The figures in the table are for Earth orbit.
The solar moth might be carried on a spacecraft as an emergency propulsion system, since the engine mass is so miniscule.
The equations for delta V and mass ratio are slightly different for a Solar Moth or Laser Thermal rocket engine:
Δv = sqrt((2 * Bp * Bε) / mDot) * ln[R]
R = e(Δv/sqrt((2 * Bp * Bε) / mDot)
where
Δv = ship's total deltaV capability (m/s)
R = ship's mass ratio
Bp = Beam power (watts) of either laser beam or solar energy collected
Bε = efficiency with which engine converts beam power into exhaust kinetic energy (0.0 to 1.0)
ln[x] = natural logarithm of x, the "ln" key on your calculator
ex = antilog base e or inverse of natural logarithm of x, the "ex" key on your calculator
For the Solar Moth in the data block Bε = 0.63, for the Mirror Steamer Bε = 0.87
Bp = Marea * (☉constant * (1 / (☉dist2)))
where
Bp = Beam power (watts) of solar energy collected
Marea = total area of collecting mirrors (m2)
☉dist = distance between Sun and spacecraft (Astronomical Units, Earth = 1.0)
1.0 astronomical units is defined as 149,597,870,700 meters.
1 / (☉dist2) is the sunlight energy density. In Earth's orbit, the density is 1.0, at Mars orbit it is 0.44 (44%), at Jupiter orbit it is 0.037, at Neptune orbit it is 0.001, at Mercury orbit it is 6.68
The Solar Constant varies from 1,361 w/m2 at solar minimum and 1,362 w/m2 at solar maximum.
Sunlight bounces from primary reflector to secondary reflector. Then it travels to the "transfer optics", a diagonal mirror that bounces the sunlight into the thermal collector on the rocket engine.
From Solar Rocket System Concept Analysis (1979)
Off-axis parabolic inflatable mirror concentrates sunlight on the cavity aperture of the rocket engine.
From Solar Rocket System Concept Analysis (1979)
Interior mirrored surface prevents misfocused sunlight from frying the spacecraft like an ant under a magnifying glass on a sunny day. From Solar Rocket System Concept Analysis (1979)
Mirror Steamer Robonaut patent card from the game High Frontier.
Mirror Steamer
Exhaust Velocity
9,810 m/s
Specific Impulse
1,000 s
Thrust
2,600 N
Thrust Power
12.8 MW
Mass Flow
0.27 kg/s
Total Engine Mass
20,977 kg
T/W
0.01
Frozen Flow eff.
97%
Thermal eff.
90%
Total eff.
87%
Fuel
Solar Photons
Reactor
Collector Mirror
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Collector Mirror
Thrust Director
Nozzle
Specific Power
1,645 kg/MW
Water is an attractive volumetric absorber for infrared laser propulsion. Diatomic species formed from the disassociation of water such as OH are present at temperatures as high as 5000 K, and can be rotationally excited by a free electron laser operating in the far infrared. The OH molecules then transfer their energy to a stream of hydrogen propellant in a thermodynamic rocket nozzle by relaxation collisions.
Beamed heat can also be added by a blackbody cavity absorber. This heat exchanger is a series of concentric cylinders, made of hafnium carbide (HfC). Focused sunlight or lasers passes through the outermost porous disk, and is absorbed in the cavity. Heat is transferred to the propellant by the hot HfC without the need for propellant seeding. The specific impulse is materials-limited to 1 ks.
“Solar Rocket System Concept Analysis”, F.G. Etheridge, Rockwell Space Systems Group. (I resized the Rockwell “Solar Moth” design for 3 kN thrust).
Rocketdyne heat exchanger thruster. Hydrogen propellant. Temperature 2,700 K. Thrust 3.7 newtons. Exhaust velocity 7,800 m/sec. From NASA SP-509
Robot Asteroid Prospector (RAP)
Solar thermal propulsion (the two mirrored dishes, solar moth with water propellant) also supplies process heat for mining and refining, and one megawatt of electricity from a Stirling cycle engine.
From Asteroid Mining AIAA-2013-5304
Art by Frank Tinsley. Click for larger image
Painting by Professor Sol Dember
Chemical
A barely contained chemical explosive. Noted for very high thrust and very low exhaust velocity. One of the few propulsion systems where the fuel and the propellant are the same thing. There is a list of chemical propellants here
Methane and oxygen are burned resulting in an unremarkable specific impulse of about 377 seconds. However, this is the highest performance of any chemical rocket using fuels that can be stored indefinitely in space. Chemical rockets with superior specific impulse generally use liquid hydrogen, which will eventually leak away by escaping between the the molecules composing your fuel tanks. Liquid methane and liquid oxygen will stay put.
The Sabatier reactor uses In-Situ
Resource Utilization (ISRU) to create a closed hydrogen and
oxygen cycle for life support on planets with CO2 atmospheres
such as Mars or Venus.
It contains two chambers, one for
mixing and the other for storing a nickel catalyst. When charged
with hydrogen and atmospheric carbon dioxide, it produces
water and methane. (The similar Bosch reactor uses an iron
catalyst to produce elemental carbon and water.)
A condenser
separates the water vapor from the reaction products. This
condenser is a simple pipe with outlets on the bottom to collect
water; natural convection on the surface of the pipe is enough
to carry out the necessary heat exchange.
Electrolysis of the
water recovers the hydrogen for reuse.
Hydrogen and oxygen are burned resulting in close to the theoretical maximum specific impulse of about 450 seconds. However, liquid hydrogen cannot be stored permanently in any tank composed of matter. The blasted stuff will escape atom by atom between the molecules composing the fuel tanks.
The combustion of the cryogenic fuels
hydrogen and oxygen produces an ideal specific impulse of 528
seconds. The product is water, which is exhausted through a
converging-diverging tube called a De Laval nozzle.
The engine
illustrated is similar to the Space Shuttle main engine, with a
specific impulse of 460 seconds. The De Laval nozzle has a 180:1 area ratio, and is
regeneratively-cooled with liquid hydrogen. The chamber
temperature is 3500K, and the chamber pressure is 2.8 MPa. The
engine has a thermal efficiency of 98%, a mixture ratio of 5.4, and a
frozen-flow efficiency of 55%. A 2000 MWth chamber generates
440 kN of thrust and a thrust to weight ratio of one gravity.
Space
Transportation Systems, American Institute of Aeronautics and Astronautics, 1978.
RP-1 is Rocket Propellant-1 or Refined Petroleum-1) is a highly refined form of kerosene outwardly similar to jet fuel, used as rocket fuel. It is not as powerful as liquid hydrogen but it is a whole lot less trouble. Compared to LH2 it is cheaper, stabler at room temperature, non-cryogenic less of an explosive hazard, and denser.
Both are hypergolic, meaning the stuff explodes on contact with each other instead of needing a pilot light or other ignition system as do other chemical fuels. This means one less point of failure and one less maintenance nightmare on your spacecraft. Being hypergolic also prevents large amounts of fuel and oxidizer accumulating in the nozzle, which can cause a hard start or engine catastrophic failure (fancy term for "engine goes ka-blam!"). It is also non-cryogenic, liquid at room temperature and pressure. This means it is a storable liquid propellant, suitable for space missions that last years.
"Ah, what's the catch?" you ask.
The catch is that the mix is hideously corrosive, toxic, and carcinogenic. It is also easily absorbed through the skin. If UDMH escapes into the air it reacts to form dimethylnitrosamine, which is a persistent carcinogen and groundwater pollutant. MMH is only fractionally less bad.
This is the reason for all those technicians wearing hazmat suits at Space Shuttle landings. The Shuttle used MMH/NTO in its reaction control thrusters. Upon landing the techs had to drain the hellish stuff before it leaked and dissoved some innocent bystander.
Aluminum and oxygen are burned resulting in an unremarkable specific impulse of
about 285 seconds. However, this is of great interest to any future lunar colonies. Both aluminum and oxygen are readily available in the lunar regolith, and such a rocket could easily perform lunar liftoff, lunar landing, or departure from a hypothetical L5 colony for Terra (using a lunar swingby trajectory). The low specific impulse is more than made up for by the fact that the fuel does not have to be imported from Terra. It can be used in a hybrid rocket (with solid aluminum burning in liquid oxygen), or using ALICE (which is a slurry of nanoaluminium powder mixed in water then frozen).
Of course the aluminum oxide in lunar regolith has to be split into aluminum and oxygen before you can use it as fuel. But Luna has plenty of solar power. As a rule of thumb, in space, energy is cheap but matter is expensive.
Although aluminum is
common in space, it stubbornly resists refining from its oxide
Al3O2. It can be reduced by a solar carbothermal process,
using carbon as the reducing agent and solar energy.
Compared to carbo-chlorination, this process needs no
chlorine, which is hard to obtain in space. Furthermore, the
use of solar heat instead of electrolysis allows higher
efficiency and less power conditioning. The solar energy
required is 0.121 GJ/kg Al.
The aluminum and oxygen produced can be used to fuel Al-O2 chemical
boosters, which burn fine sintered aluminum dust in the presence of liquid
oxygen (LO2). Unlike pure solid rockets, hybrid rockets (using a solid fuel
and liquid oxidizer) can be throttled and restarted. The combustion of
aluminum obtains 3.6 million joules per kilogram. At 77% propulsion
efficiency, the thrust is 290 kN with a specific impulse of 285 seconds.
The mass ratio for boosting off or onto Luna using an Al-O2 rocket is 2.3.
In other words, over twice as much as much fuel as payload is needed.
Gustafson, White, and Fidler of ORBITECTM, 2010.
Carbochlorination Refinery
Metal sulfates may be refined by exposing
a mixture of the crushed ore and carbon dust to streams of chlorine
gas. Under moderate resistojet heating (1123 K) in titanium chambers
(Ti resists attack by Cl), the material is converted to chloride salts such
as found in seawater, which can be extracted by electrolysis.
The
example shown is the carbochlorination of Al2Cl3 to form aluminum.
Al is valuable in space for making wires and cables (copper is rare in
space). The electrolysis of Al2Cl3 does not consume the electrodes
nor does it require cryolite. However, due to the low boiling point of
Al2Cl3, the reaction must proceed under pressure and low temperatures.
Other elements produced by carbochlorination include titanium,
potassium, manganese, chromium, sodium, magnesium, silicon and
also (with the use of plastic filters) the nuclear fuels 235U and 232Th.
Both C and Cl2 must be carefully recycled (the recycling equipment
dominates the system mass) and replenished by regolith scavenging.
Propulsion Fuels From Indigenous Lunar And Asteroidal Metals
Table 1: Metal/Oxygen Combustion Properties
Metal
Specific Enthalpy (joules/kg)
Isp (seconds)
hydrogen
1.39×107
457
aluminum
1.63×107
270
calcium
1.41×107
213
iron
4.7×106
184
magnesium
1.83×107
260
silicon
1.58×107
272
titanium
1.17×107
255
Lunar and asteroidal surface materials are ubiquitous and abundant
sources of metals like silicon, aluminum, magnesium, iron, calcium, and
titanium. Many schemes have been proposed for extracting these metals
and oxygen for structural, electrical, and materials processing space
operations.
However, all the metals burn energetically in oxygen and could
serve as in-situ rocket fuels for space transportation applications.
Table 1 lists the specific heats of combustion (enthalpy) at 1800 K and
corresponding specific impluses at selected mixture ratios with oxygen of the
above pure metals assuming rocket combustion at 1000 psia and an expansion
ratio of 50. Hydrogen is included for comparison.
All the metals appear to offer adequate propulsion performance from low
or moderate gravity bodies and are far more abundant than hydrogen on many
terrestrial planets and asteroids.
It is noteworthy that silicon, the most
abundant nonterrestrial metal, is potentially one of the best performers. In
addition, iron with the lowest specific impulse is sufficiently energetic for
cislunar and asteroidal transportation. Further, silicon and iron are the most
readily obtained nonterrestrial metals. They can be separated by distillation
of basalts and other nonterrestrial silicates in vacuum solar furnaces.
Efficient rocket combustion of metal fuels could be realized by
injecting them as a fine powder into the combustion chamber. This could be
done by mixing the fuel with an inert carrier gas or in liquid oxygen (LOX) to
form a slurry. Preliminary studies indicate that a mixture of metal/LOX can be
stored and handled safely without danger of autoignition. Lean fuel mixtures
would be used to achieve the maximum specific impluse by reducing the exhaust
molecular weight without excessivly lowering the combustion temperature. Two
phase flow losses are estimated to be acceptable for anticipated throat sizes
based on measured thrust loss data from solid rocket motors ustng aluminized
propellants.
The metals could be atomized by condensing droplets in vacuum from a
liquid metal stream forced through a fine ceramic nozzle. Brittle metals like
silicon and calcium might be pulverized to sub 20 micrometer size in vacuum in
autogenous grinders that operate by centrifugal impact and are independent of
the gravity level.
From Propulsion Fuels From Indigenous Lunar And Asteroidal Metals by William N. Agosto and John H. Wickman
Metastable
Atomic Hydrogen
100% Atomic Hydrogen
Exhaust velocity
20,600 m/s
15% Atomic Hydrogen in solid H2
Exhaust velocity
7,300 m/s
Single-H/LOX
Exhaust Velocity
4,600 m/s
Specific Impulse
469 s
Atomic hydrogen is also called free-radical hydrogen or "single-H". The problem is that it instantly wants to recombine. The least unreasonable way of preventing this is to make a solid mass of frozen hydrogen (H2) at liquid helium temperatures which contains 15% single-H by weight.
Free Radical Hydrogen
Free Radical Hydrogen
Exhaust velocity
39,240 m/s
Thrust
73,900 N
Specific Power
55 kg/MW
Engine Power
2,000 MW
Frozen Flow eff.
77%
Thermal eff.
94%
Thrust Power
1448 MW
Free radicals are single atoms of
elements that normally form molecules. Free radical hydrogen (H)
has half the molecular weight of H2.
If used as propellant, it doubles
the specific impulse of thermodynamic rockets.
If used as fuel, its
specific energy (218 MJ/kg) produces a theoretical specific impulse
of 2.13 ksec.
Free radicals extracted by particle bombardment are
cooled by VUV laser chirping, and trapped in a hybrid laser-magnet
as a Bose-Einstein gas at ultracold temperatures. A Pritchard-Ioffe
trap keeps their mobile spins aligned, using the interaction of the
atomic magnetic moment with the inhomogeous magnetic field. The
trapping density of >1014 atoms/cc is much higher than in Penning
traps.
Free radical deuterium that has been spin-vector polarized is
stable against ionization and atomic collisions. Because of its large
fusion reactivity cross-sectional area, it makes a useful fusion fuel.
Hydrogen subjected to enough pressure to turn it into metal, then contained under such pressure. Release the pressure and out comes all the stored energy that was required to compress it in the first place. It will require storage that can handle millions of atmospheres worth of pressure. The mass of the storage unit might be enough to negate the advantage of the high exhaust velocity.
The hope is that somebody might figure out how to compress the stuff into metal, then somehow release the pressure and have it stay metallic.
Metastable He*
Metastable He*
Exhaust Velocity
43,000 m/s
Specific Impulse
4,383 s
Thrust
64,000 N
Thrust Power
1.4 GW
Mass Flow
1 kg/s
Total Engine Mass
10,000 kg
T/W
0.65
Fuel
Metastable He*
Reactor
Combustion Chamber
Remass
Reaction Products
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
7 kg/MW
Spin-polarized triplet helium. Two electrons in a helium atom are aligned in a metastable state (one electron each in the 1s and 2s atomic orbitals with both electrons having parallel spins, the so-called "triplet spin state", if you want the details). When it reverts to normal state it releases 0.48 gigjoules per kilogram. Making the stuff is easy. The trouble is that it tends to decay spontaneously, with a lifetime of a mere 2.3 hours. And it will decay even quicker if something bangs on the fuel tank. Or if the ship is jostled by hostile weapons fire. To say the fuel is touchy is putting it mildly. The fuel is stored in a resonant waveguide to magnetically lock the atoms in their metastable state but that doesn't help much. There were some experiments to stablize it with circularly polarized light, but I have not found any results about that.
Metastable He IV-A
Metastable He IV-A
Exhaust Velocity
21,600 m/s
Specific Impulse
2,202 s
Total Engine Mass
10,000 kg
Fuel
Metastable He IV-A
Reactor
Combustion Chamber
Remass
Reaction Products
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Meta from Saturn Rukh
Exhaust Velocity
30,900 m/s
Specific Impulse
3,150 s
Meta-helium would be such a worthwhile propulsion system that scientists have been trying real hard to get the stuff to stop decaying after a miserable 2.3 hours. One approach is to see if metastable helium can be formed into a room-temperature solid if bonded with diatomic helium molecules, made from one ground state atom and one excited state atom. This is called diatomic metastable helium. The solid should be stable, and it can be ignited by heating it. The exhaust velocity is about half that of pure He* which is disappointing, but not as disappointing as a dust-mote sized meteorite blowing your ship into atoms.
Theoretically He IV-A would be stable for 8 years, have a density of 0.3 g/cm3, and be a solid with a melting point of 600 K (27° C). The density is a plus, liquid hydrogen's annoying low density causes all sorts of problems.
Dr. Robert Forward in his novel Saturn Rukh suggested bonding 64 metastable helium atoms to a single excited nitrogen atom, forming a stable super-molecule called Meta. Whether or not this is actually possible is anybody's guess. In theory it would have a specific impulse of 3150 seconds.
Metastable helium is the
electronically excited state of the helium atom, easily formed by
a 24 keV electron beam in liquid helium.
If the spin-orbit decay
is suppressed by a coherent laser pump, its theoretical lifetime
would be eight years (as ferromagnetic solid He*2 with a melting
temperature of 600 K). Spin-aligned solid metastable helium
could be a useful, if touchy, high thrust chemical fuel with a
theoretical specific impulse of 3.2 ksec.
J.S. Zmuidzinas, "Stabilization of He2(a 3Sigmau+) in Liquid Helium by Optical
Pumping," unpublished 1976, courtesy Dr. Robert Forward.
Self-Field Magnetoplasmadynamic Thruster Propellant is accelerated by magnetic field created by discharge current between anode and cathode.
Applied-Field Magnetoplasmadynamic Thruster Propellant is accelerated by an external applied magnetic field. Used when the discharge current is too weak to make worthwhile magnetic field.
Impulsive electric rockets can accelerate propellant
using magnetoplasmadynamic traveling waves (MPD T-waves).
In the
design shown, superfluid magnetic helium-3 is accelerated using a
megahertz pulsed system, in which a few hundred kiloamps of currents
briefly develop extremely high electromagnetic forces. The accelerator
sequentially trips a column of distributed superconducting L-C circuits that
shoves out the fluid with a magnetic piston.
The propellant is micrograms
of regolith dust entrained by the superfluid helium. The dust and helium are
kept from the walls by the inward radial Lorentz force, with an efficiency of
81%.
Each 125 J pulse requires a millifarad of total capacitance at a few
hundred volts. Compared to ion drives, MPDs have good thrust densities
and have no need for charge neutralization. However, they run hot and
have electrodes that will erode over time. Moreover, small amounts of an
expensive superfluid medium are continually required.
A puff of propellant is directed at the spiral drive coil. Capacitors deliver a 1 microsecond jolt to the coil, creating a radial magnetic field. The field induces a circular electric field in the propellant, ionizing it and causing the ions to move perpendicular to the magnetic field. This accelerates the ions, creating thrust. There are no electrodes to erode, and thrust can be scaled up by increasing pulse rate.
The spring pushes the slab of teflon propellant into the discharge chamber. There an arc vaporizes a layer of teflon. The ablated teflon is accelerated away by the arc's magnetic field.
A plasmoid is a coherent torus-shaped
structure of plasma and magnetic fields.
An example
from nature is “Kugelblitz” (ball lightning). (One of my mentors,
Dr. Roger C. Jones of the University of Arizona, has worked
out the physics of this.)
A plasmoid rocket creates a torus of
ball lightning by directing a mega-amp of current onto the
propellant. Almost any sort of propellant will work. The
plasmoid is expanded down a diverging electrically conducting
nozzle. Magnetic and thermal energies are converted to
directed kinetic energy by the interaction of the plasmoid with the image
currents it generates in the nozzle. Ionization losses are a small fraction of the
total energy; the frozen flow efficiency is 90%.
Unlike other electric rockets, a
plasmoid thruster requires no electrodes (which are susceptible to erosion)
and its power can be scaled up simply by increasing the pulse rate.
The
design illustrated has a 50-meter diameter structure that does quadruple
duty as a nozzle, laser focuser, high gain antenna, and radiator. Laser power
(60 MW) is directed onto gap photovoltaics to charge the ultracapacitor bank
used to generate the drive pulses.
Some classify this as an electromagnetic plasma, some as an electrodeless electrothermal
The variable specific impulse magnetoplasma rocket is a plasma drive with the amusing ability to "shift gears." This means it can trade exhaust velocity for thrust and vice versa. Three "gears" are shown on the table. There are more details
here and
here.
VASIMR has been suggested for use in a space tug aka Orbital Transfer Vehicle. A VASIMR powered tug could move 34 metric tons from Low Earth Orbit (LEO) to Low Lunar Orbit (LLO) by expending only 8 metric tons of argon propellant. A chemical rocket tug would require 60 metric tons of liquid oxygen - liquid hydrogen propellant. Granted the VASIMR tug would take six month transit time as opposed to the three days for the chemical, but there are always trade offs.
The variable-specific-impulse
magnetoplasma rocket (VASIMR) has two unique features: the
removal of the anode and cathode electrodes (which greatly
increases its lifetime compared to other electric rockets) and the
ability to throttle the engine, exchanging thrust for specific impulse. A VASIMR uses low gear to climb out of planetary orbit, and high
gear for interplanetary cruise.
Other advantages include efficient
resonance heating (80%), and a low current, high voltage power
conditioner, which saves mass.
Propellant (typically hydrogen,
although many other volatiles can be used) is first ionized by helicon
waves and then transferred to a second magnetic chamber where it
is accelerated to ten million degrees K by an oscillating electric and
magnetic fields, also known as the ponderomotive force.
A hybrid
two-stage magnetic nozzle converts the spiraling motion into axial
thrust at 97% efficiency.
Franklin Chang-Diaz, et al., “The Physics and
Engineering of the VASIMR Engine,” AIAA conference paper 2000-3756, 2000.
This ion rocket accelerates ions using the
electric potential maintained between a cylindrical anode and
negatively charged plasma which forms the cathode.
To start the
engine, the anode on the upstream end is charged to a positive
potential by a power supply. Simultaneously, a hollow cathode at
the downstream end generates electrons. As the electrons move
upstream toward the anode, an electromagnetic field traps them
into a circling ring at the downstream end.
This gyrating flow of
electrons, called the Hall current, gives the Hall thruster its name.
The Hall current collides with a stream of magnesium propellant,
creating ions. As magnesium ions are generated, they experience
the electric field between the anode (positive) and the ring of electrons (negative)
and exit as an accelerated ion beam.
A significant portion of the energy required
to run the Hall Effect thruster is used to ionize the propellant, creating frozen flow
losses.
This design also suffers from erosion of the discharge chamber.
On the
plus side, the electrons in the Hall current keep the plasma substantially neutral,
allowing far greater thrust densities than other ion drives.
Gridded Electrostatic Ion Thruster. Potassium seeded argon is ionized and the ions are accelerated electrostatically by electrodes. Other propellants can be used, such as cesium and buckyballs. Though it has admirably high exhaust velocity, there are theoretical limits that ensure all Ion drives are low thrust.
It also shares the same problem as the other electrically powered low-thrust drives. In the words of a NASA engineer the problem is "we can't make an extension cord long enough." That is, electrical power plants are weighty enough to make the low thrust an even larger liability. A high powered ion drive will generally be powered by a nuclear reactor, Nuclear Electric Propulsion (NEP). Low powered ion drives can get by with solar power arrays, all ion drive space probes that exist in the real world use that system. Researchers are looking into beamed power systems, where the ion drive on the spaceship is energized by a laser beam from a remote space station.
If you are interested in the technical details about why ion drives are low thrust, read on.
And it suffers from the same critical thrust-limiting problem as any other ion engine: since you are accelerating ions, the acceleration region is chock full of ions. Which means that it has a net space charge which repels any additional ions trying to get in until the ones already under acceleration manage to get out, thus choking the propellant flow through the thruster.
The upper limit on thrust is proportional to the cross-sectional area of the acceleration region and the square of the voltage gradient across the acceleration region, and even the most optimistic plausible
values (i.e. voltage gradients just shy of causing vacuum arcs across the grids) do not allow for anything remotely resembling high thrust.
You can only increase particle energy so much; you then start to get vacuum arcing across the acceleration chamber due to the enormous potential difference involved. So you can't keep pumping up the voltage indefinitely.
To get higher thrust, you need to throw more particles into the mix. The more you do this, the more it will reduce the energy delivered to each particle.
It is a physical limit. Ion drives cannot have high thrusts.
Ions from the charged particle source are accelerated by being attracted to the exit grid. After the grid electrons are added from the neutralizer source to make a charge-neutral exhaust flow. Otherwise the engine would accumulate such a negative charge that the exhaust would refuse to leave the engine.
The three spheres on the top look suspiciously like two habitat modules on an artificial gravity centrifuge. Artwork by Lee Ames for Man's Reach Into Space by Roy Gallant (1959)
Note the beam neutralizers between the pad-like ion engines. Artwork by Lee Ames for Man's Reach Into Space by Roy Gallant (1959)
Artwork by Lee Ames for Man's Reach Into Space by Roy Gallant (1959) Sorry, this is the highest resolution I could find.
Impression by a Convair artist of an ion-rocket space-ship.
In space, an electrostatic particle accelerator is
effectively an electric rocket.
The illustrated design uses a combination
of microwaves and spinning magnets to ionize the propellant,
eliminating the need for electrodes, which are susceptible to erosion in
the ion stream.
The propellant is any metal that can be easily ionized
and charge-separated. A suitable choice is magnesium, which is
common in asteroids that were once part of the mantles of shattered
parent bodies, and which volatilizes out of regolith at the relatively low temperature of
1800 K.
The ion drive accelerates magnesium ions using a negatively charged grid, and
neutralizes them as they exit. The grids are made of C-C, to reduce erosion.
Since the
stream is composed of ions that are mutually repelling, the propellant flow is limited to
low values proportional to the cross-sectional area of the acceleration region and the
square root of the voltage gradient.
Decoupling the acceleration from the extraction
process into a two-stage system allows the voltage gradients to reach 30 kV without
vacuum-arcing, corresponding to exit velocities of 80-210 km/sec.
A 60 MWe system
with a thrust of 1.5 kN utilizes a hexagonal array, 25 meters across, containing 361
accelerators. Frozen flow efficiencies are high (96%).
To boost the acceleration
(corresponding to the “open-cycle cooling” game rule), colloids are accelerated instead
of ions. Colloids (charged sub-micron droplets of a conducting non-metallic fluid) are
more massive than ions, allowing increased thrust at the expense of fuel economy.
Fictional Interplanetary BoostShip Agamemnon from Jerry Pournelle's short story "Tinker". This fictional ship is a species of Ion drive utilizing cadmium and powered by deuterium fusion. Looking at its performance I suspect that in reality no Ion drive could have such a high thrust. The back of my envelope says that you'd need one thousand ultimate Ion drives to get this much thrust.
Artwork by Rick Sternbach (1975). Click for larger image
Electrothermal
ArcJet
ArcJet
Exhaust Velocity
20,000 m/s
Specific Impulse
2,039 s
Thrust
2 N
Thrust Power
20.0 kW
Mass Flow
1.00e-04 kg/s
Fuel
100kWe input
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Arc Heater
Thrust Director
Nozzle
Hydrogen propellant is heated by an electrical arc.
Constricted Arcjet
Arcjet with applied magnetic field The magnetic field rotates the plasma to alow even heating
A working fluid such as hydrogen can be heated to 12,000 K by an electric arc. Since the temperatures imparted are not limited by the melting point of tungsten, as they are in a sold core electrothermal engine such as a resistojet, the arcjet can burn four times as hot. However, the thoriated tungsten electrodes must be periodically replaced.
When used as an electrothermal thruster, the arcjet attains a specific impulse of 2 ksec with frozen-flow efficiencies of 60%. When used for mining beneficiation, regolith or ore is initially processed with a 1 Tesla magnetic separator and impact grinder (3.5 tonnes), before being vaporized in the arcjet. The arcjet can also be used for arc welding.
This device works by generating microwaves in a cylindrical resonant, propellant-filled cavity, thereby inducing a plasma discharge through electromagnetic coupling. The discharge performs either mining or thrusting functions.
In its mining capacity, the head brings to bear focused energy, tuned at close quarters by the local microwave guides, to a variety of frequencies designed to resonate and shatter particular minerals or ice.
In its electrothermal thruster (MET) capacity, the microwave-sustained plasma superheats water, which is then thermodynamically expanded through a magnetic nozzle to create thrust. The MET needs no electrodes to produce the microwaves, which allows the use of water propellant (the oxygen atoms in a steam discharge would quickly dissolve electrodes).
MET steamers can reach 900 seconds of specific impulse due to the high (8000 K) discharge source temperatures, augmented by rapid hydrogen-oxygen recombination in the nozzle. Vortex stabilization produces a well-defined axisymmetric flow. However, the specific impulse is ultimately limited by the maximum temperature (~ 2000 K) that can be sustained by the thruster walls.
The illustration shows a microwave plasma discharge created by tuning the TM(011) mode for impedance-matched operation. This concentrates the most intense electric fields along the cavity axis, placing 95% of the energy into the propellant, with less than 5% lost into the discharge tube walls. Regenerative water cooling is used throughout.
For pressures of 45 atm, each unit can produce 30 N of thrust. The thrust array contains 400 such units, at 50 kg each.
“Development of a High Power Microwave Thruster, with a Magnetic Nozzle, for Space Applications.” John L. Power and Randall A. Chapman, Lewis Research Center, 1989.
In a resistojet, ropellant flows over a resistance-wire heating element (much like a space heater or toaster) then the heated propellant escapes out the exhaust nozzle. They are mostly used as attitude jets on satellites, and in situations where energy is more plentiful than mass.
Tungsten, the metal with the highest melting point (3694 K), may be used to electric-resistance heat ore for smelting or propellant for thrusting. In the latter mode, the resistojet is an electro-thermal rocket that has a specific impulse of 1 ksec using hydrogen heated to 3500K. The frozen flow efficiency (without hydrogen recombination) is 85%. Internal pressures are 0.1 MPa (1 atm). To reduce ohmic losses, the heat exchanger uses a high voltage (10 kV) low current (12.5 kiloamp) design. The specific power of the thruster is 260 kg/MWj and the thrust to weight ratio is 8 milli-g.
Once arrived at a mining site, the tungsten elements, together with wall of ceramic lego-blocks (produced in-situ from regolith by magma electrolysis) are used to build an electric furnace. Tungsten resistance-heated furnaces are essential in steel-making. They are used to sand cast slabs of iron from fines (magnetically separated from regolith), refine iron into steel (using carbon imported from Type C asteroids), and remove silicon and sulfur impurities (using CaAl2O4 flux roasted from lunar highland regolith).
An e-beam (beam of electrons) is a
versatile tool. It can bore holes in solid rock (mining), impart velocity
to reaction mass (rocketry), remove material in a computer numerical
control cutter (finished part fabrication), or act as a laser initiator (free
electron laser).
A wakefield electron accelerator uses a brief
(femtosecond) laser pulse to strip electrons from gas atoms and to
shove them ahead. Other electrons entering the electron-depleted
zone create a repulsive electrostatic force. The initial tight grouping
of electrons effectively surf on the electrostatic wave.
Wakefield
accelerators a few meters long exhibit the same acceleration as a
conventional rf accelerator kilometers in length. In a million-volt-plus
electron beam the electrons are approaching lightspeed, so the term relativistic electron
beam is appropriate.
The wakefield can be used as an electrothermal rocket similar in
principle to the arcjet, but far less discriminating in its choice of propellant.
There are five general methods for confining plasmas long enough and hot enough for achieving a
positive Q (more energy out of a reaction than you need to ignite it, "break even"):
Of these reactions, the fusion of deuterium and tritium (D-T), has the lowest ignition temperature (40 million degrees K, or
5.2 keV). However, 80% of its energy output is in highly energetic neutral particles (neutrons) that cannot be contained by
magnetic fields or directed for thrust.
In contrast, the 3He-D fusion reaction (ignition temperature = 30 keV) generates 77% of its
energy in charged particles, resulting in substantial reduction of shielding and radiator mass. However, troublesome neutrons
comprise a small part of its energy (4% at ion temperatures = 50 keV, due to a D-D side reaction), and moreover the energy
density is 10 times less then D-T. Another disadvantage is that 3He is so rare that 240,000 tonnes of regolith scavenging would
be needed to obtain a kilogram of it. (Alternatively, helium 3 can be scooped from the atmospheres of Jupiter or Saturn.)
Deuterium, in contrast, is abundant and cheap. The fusion of deuterium to itself (D-D) occurs at too high a temperature (45 keV)
and has too many neutrons (60%) to be of interest. However, the neutron energy output can be reduced to 40% by catalyzing this
reaction to affect a 100% burn-up of its tritium and 3He by-products with D.
The fusion of 10% hydrogen to 90% boron (using
11B, the most common isotope of boron, obtained by processing seawater or borax) has an even higher ignition temperature (200
keV) than 3He-D, and the energy density is smaller. Its advantage is that is suffers no side reactions and emits no neutrons, and
hence the reactor components do not become radioactive.
The 6Li-H reaction is similarly clean. However, both the H-B and 6Li-H
reactions run hot, and thus ion-electron collisions in the plasma cause high bremsstrahllung x-ray losses to the reactor first wall.
There are two types of mission. One way missions go from planet A to planet B (AB or A→B) or from planet B to planet A (BA or B→A). Round trip (RT or A→A) missions go from A to B and back to A.
The bottom line is that inertial confinement fusion is far superior to magnetic confinement fusion.
Sample Closed-field Magnetic Confinement (Tokamak) Fusion Rocket
αp = engine alpha (W/kg)
DAB = distance between A and B (meters)
DBA = distance between B and A (meters)
Isp = engine specific impulse (seconds)
IMEO = initial mass in Earth orbit (kg)
MB = dry mass plus just propellant to travel from B to A (kg)
ML = mass of payload (kg)
MW = mass of engine (kg)
Mf = dry mass (kg)
Mi = initial mass in Earth orbit (kg)
MpA→A = mass of propellant used traveling round-trip from A to B to A (kg)
MpA→B = mass of propellant used traveling one-way from A to B (kg)
MpB→A = mass of propellant used traveling one-way from B to A (kg)
ṁp = propellant mass flow (kg/s)
Pf = propellant mass fraction
RM = spacecraft mass ratio
τAB = time to travel one way from A to B (seconds)
τBA = time to travel one way from B to A (seconds)
τRT = time to travel round trop from A to B to A (seconds)
Wf = dry weight (Newtons)
(ed note: Luke Campbell is giving advice to somebody trying to design a torchship. So when he says that magnetic confinement fusion won't work, he means won't work in a torchship. It will work just fine in a weak low-powered fusion drive.)
For one thing, forget muon catalyzed fusion. The temperature of the
exhaust will not be high enough for torch ship like performance.
I don't think magnetic confinement fusion will work — you are dealing with a such high power
levels I don't think you want to try confining this inside your
spacecraft because it would melt.
D-T (deuterium-tritium) fusion is not very good for this purpose. You
lose 80% of your energy to neutrons, which heat your spacecraft and
don't provide propulsion. 80% of a terrawatt is an intensity of 800
gigawatts/(4 π r2) on your drive components at a distance of r from the
fusion reaction zone.
If we assume we need to keep the temperature of
the drive machinery below 3000 K (to keep iron from melting, or
diamond components from turning into graphite), you would need all non-expendable drive components to be located at least 120 meters away
from the point where the fusion pulses go off.
D-D (deuterium-deuterium) fusion gives you only 66% of the energy in neutrons. However, at
the optimum temperature, you get radiation of bremsstrahlung x-rays
equal to at least 30% of the fusion output power.
For a terawatt torch,
this means you need to deal with 960 gigawatts of radiation. You need a 130
meter radius bell for your drive system to keep the temperature down.
D-3He (deuterium-helium-3) fusion gives off maybe 5% of its energy as neutrons. A bigger
worry is bremsstrahlung x-rays are also radiated accounting for at
least 20% of the fusion output power. This lets you get away with a
66 meter radius bell for a terawatt torch.
(ed note: 66 meters = attunation 55,000. 250 gigawatts / 55,000 = 4.5 megawatts. I guess 4.5 megawatts is the level that will keep the drive machinery below 3000 k)
To minimize the amount of x-rays
emitted, you need to run the reaction at 100 keV per particle, or
1.16 × 109 K. If it is hotter or colder, you get more x-rays radiated and
more heat to deal with.
This puts your maximum exhaust velocity at
7,600,000 m/s, giving you a mass flow of propellant of 34.6 grams per
second at 1 terawatt output, and a thrust of 263,000 Newtons per terawatt.
This could
provide 1 G of acceleration to a spacecraft with a mass of at most
26,300 kg, or 26.3 metric tons. If we say we have a payload of 20
metric tons and the rest is propellant, you have 50 hours of
acceleration at maximum thrust. Note that this is insufficient to run
a 1 G brachistochrone. Burn at the beginning for a transfer orbit,
then burn at the end to brake at your destination.
Note that thrust and rate of propellant flow scales linearly with
drive power, while the required bell radius scales as the square root
of the drive power. If you use active cooling, with fluid filled
heat pipes pumping the heat away to radiators, you could reduce the
size of the drive bell somewhat, maybe by a factor of two or three.
Also note that the propellant mass flow is quite insufficient for open
cycle cooling as you proposed in an earlier post in this thread.
Due to the nature of fusion torch drives, your small ships may be
sitting on the end of a large volume drive assembly. The drive does
not have to be solid — it could be a filigree of magnetic coils and
beam directing machinery for the heavy ion beams, plus a fuel pellet
gun. The ion beams zap the pellet from far away when it has drifted
to the center of the drive assembly, and the magnetic fields direct
the hot fusion plasma out the back for thrust.
Fuel: deuterium and tritium. Propellant: lithium. 1 atom of Deuterium fuses with 1 atom of Tritium to produce 17.6 MeV of energy. One gigawatt of power requires burning a mere 0.00297 grams of D-T fuel per second.
Note that Tritium has an exceedingly short half-life of 12.32 years. Use it or lose it. Most designs using Tritium included a blanket of Lithium to breed more fresh Tritium fuel.
Hydrogen-Boron
H-B Fusion
Exhaust Velocity
980,000 m/s
Specific Impulse
99,898 s
Thrust
61,000 N
Thrust Power
29.9 GW
Mass Flow
0.06 kg/s
Total Engine Mass
300,000 kg
T/W
0.02
Fuel
Hydrogen-Boron Fusion
Specific Power
10 kg/MW
Fuel is Hydrogen and Boron-11. Propellant is hydrogen. Bombard Boron-11 atoms with Protons (i.e., ionized Hydrogen) and you get a whopping 16 Mev of energy, three Alpha particles, and no deadly neutron radiation.
Well, sort of. Current research indicatates that there may be some neutrons. Paul Dietz says there are two nasty side reactions. One makes a Carbon-12 atom and a gamma ray, the other makes a Nitrogen-14 atom and a neutron. The first side reaction is quite a bit less likely than the desired reaction, but gamma rays are harmful and quite penetrating. The second side reaction occurs with secondary alpha particles before they are thermalized.
The Hydrogen - Boron reaction is sometimes termed "thermonuclear fission" as opposed to the more common "thermonuclear fusion".
A pity about the low thrust. The fusion drives in Larry Niven's "Known Space" novels probably have performance similar to H-B Fusion, but with millions of newtons of thrust.
It sounded too good to be true, so I asked "What's the catch?"
The catch is, you have to arrange for the protons to impact with 300 keV of energy, and even then the reaction cross section is fairly small. Shoot a 300 keV proton beam through a cloud of boron plasma, and most of the protons will just shoot right through. 300 keV proton beam against solid boron, and most will be stopped by successive collisions without reacting. Either way, you won't likely get enough energy from the few which fuse to pay for accelerating all the ones which didn't.
Now, a dense p-B plasma at a temperature of 300 keV is another matter. With everything bouncing around at about the right energy, sooner or later everything will fuse. But containing such a dense, hot plasma for any reasonable length of time, is well beyond the current state of the art. We're still working on 25 keV plasmas for D-T fusion.
If you could make it work with reasonable efficiency, you'd get on the order of ten gigawatt-hours of usable power per kilogram of fuel.
Professor N. Rostoker, et. al think they have the solution, utilizing colliding beams. Graduate Student Alex H.Y. Cheung is looking into turning this concept into a propulsion system.
Helium3-Deuterium
He3-D Fusion
Exhaust Velocity
7,840,000 m/s
Specific Impulse
799,185 s
Thrust
49,000 N
Thrust Power
0.2 TW
Mass Flow
0.01 kg/s
Total Engine Mass
1,200,000 kg
T/W
4.00e-03
Fuel
Helium3-Deuterium Fusion
Specific Power
6 kg/MW
Fuel is helium3 and deuterium. Propellant is hydrogen. 1 atom of Deuterium fuses with 1 atom of Helium-3 to produce 18.35 MeV of energy. One gigawatt of power requires burning a mere 0.00285 grams of 3He-D fuel per second.
A magnetic bottle contains the fusion reaction. Very difficult to do. Researchers in this field say that containing fusion plasma in a magnetic bottle is like trying to support a large slab of gelatin with a web of rubber bands. Making a magnetic bottle which has a magnetic rocket exhaust nozzle is roughly 100 times more difficult.
Since the engine is using a powerful but tightly controlled magnetic field, it might be almost impossible to have a cluster of several magnetic confinement fusion engines. The magnetic fields will interfere with each other.
Open-field magnetic confinement (Mirror)
Open-field magnetic confinement (Mirror)
Open-field magnetic confinement (Mirror)
Open-field magnetic confinement (Tandem mirror engine)
Open-field magnetic confinement (Field Reversed Configuration)
Of all the fusion reactions, the easiest to
attain is a mixture of the isotopes of hydrogen called deuterium and tritium
(D-T). This reaction is “dirty”, only 20% of the reaction power is charged
particles (alphas) that can be magnetically extracted with a diverter for
power or thrust. The remaining energy (neutron, bremsstrahlung, and
cyclotron radiation) must be captured in a surrounding jacket of cold
dense Li plasma. The heated lithium is either exhausted as open-cycle
coolant, or recirculated through a heat engine (to generate the power
needed for the microwave plasma heater).
The 2 GWth magnetically-confined reactor shown uses eight poloidal superconducting
30 Tesla coils, twisted into a Tokamak configuration. These weigh
22 tonnes with stiffeners and neutron shielding.
The pulsed D-T plasma,
containing tens of megamps, is super-heated by 50 MW of microwaves or
colliding beams to 20 keV. The Q (gain factor) is 40. Closed field line
devices such as this can ignite and burn, in which case the Q goes to infinity and
microwave heating is no longer needed. However, since ignition is inherently unstable
(once ignited, the plasma rapidly heats away from the ignition point), the reactor is kept
at slightly below ignition.
Fuel is replenished at 24 mg/sec by gas puffing to maintain a
plasma ion density of 5 × 1020/m3 at 26 atm. At a power density of 250 MWth /m3, the
lithium-cooled first wall has a neutron loading of 1 MW/m2 and a radiation loading of 5
MW/m2.
More advanced vortex designs, which do away with the first wall, separate the
hot fusion fuel from the cool lithium plasma by swirling the mixture. The thermal efficiency
is 50% in open-cycle mode.
Williams, Borowski, Dudzinski, and Juhasz, “A Spherical Torus Nuclear
Fusion Reactor Space Propulsion Vehicle Concept for Fast Interplanetary Travel,” Lewis Research Center,
1998.
(The Tokamak used in High Frontier is a smaller lower tech version of the Lewis design, which uses
aneutronic 3He-D fuel.)
Helium 3 is an isotope of helium, and deuterium (abbreviated D) is an isotope of hydrogen. The 3He-D fusion cycle is superior to the D-T cycle since almost all the fusion energy, rather than just 20%, is deposited in the plasma as fast charged particles.
Magnetic containers with a linear rather than toroidal geometry, such as steady-state mirrors, have superior ratios of plasma pressure to magnet pressure (β >30%) and higher power densities necessary for reaching the high (50 keV) 3He-D operating temperatures.
The mirror design shown is a tube of 11 Tesla superconducting magnetic coils, with choke coils for reflection at the ends. The magnets weigh 12 tonnes, plus another 24 tonnes for 60 cm of magnet radiation shielding and refrigeration. A mirror has low radiation losses (20% bremsstrahlung, 3% neutrons) compared to its end losses (77% fast charged particles). These losses limit the Q to about unity and prevent ignition. (This is not a problem for propulsion, since reaching break-even is not required to achieve thrust. The plasma is held in stable energy equilibrium by the constant injection of auxiliary microwave heating.)
The Q can be improved by a tandem arrangement: stacking identical mirror cells end to end so that one’s loss is another’s gain. The exhaust exiting one end can be converted to power by direct conversion (MHD), and the other end’s exhaust can be expanded in a magnetic flux tube for thrust.
Mirrors improved by vortex technology, called field-reversed mirrors, introduce an azimuthal electron current which creates a poloidal magnetic field component strong enough to reverse the polarity of the magnetic induction along the cylindrical axis. This creates a hot compact toroid that both plugs end losses and raises the temperature of the scrape-off plasma layer fourfold (to 2.5 keV), corresponding to a specific impulse of 32 ksec.
Mirrors, like all magnetic fusion devices, can readily augment their thrust by open-cycle cooling.
“Considerations for Steady-State FRC-Based Fusion Space Propulsion,” M.J. Schaffer, General Atomics Project 4437, Dec 2000.
A Farnsworth-Bussard fusor is little more than two charged concentric spheres dangling in a vacuum chamber, producing fusion through inertial electrostatic confinement. Electrons are emitted from an outer shell (the cathode), and directed towards a central anode called the grid. The grid is a hollow sphere of wire mesh, with the elements magnetically-shielded so that the electrons do not strike them. Instead, they zip right on through, oscillating back and forth about the center, creating a deep electrostatic well to trap the ions of lithium 6 and hydrogen that form the fusion fuel. With a one meter diameter grid and a fuel consumption rate of 7 mg/sec, the fusion power produced is 360 MWth.
Half of this energy is bremsstrahlung X-rays, which must be captured in a lithium heat engine. The other half are isotopes of helium (3He and 4He), each at about 8 MeV. (Overall efficiency is 36%). Since both products are doubly charged, a 4 MeV electric field will decelerate them and produce two electrons from each, producing an 18 amp current at extremely high voltage.
An electron gun using this 4 million volt energy would emit electrons at relativistic speeds. This beam dissipates quickly in space, unless neutralized by positrons or converted into a free electron laser beam.
“Inertia-Electrostatic-Fusion Propulsion Spectrum: Air-Breathing to Interstellar Flight,” R W. Bussard and L. W. Jameson, Journal of Propulsion and Power, v. 11, no. 2, pp. 365-372.
(Philo Farnsworth, the farm boy who invented the television, spent his last years in a lonely quest to attain break-even fusion in his ultra-cheap fusor devices. His ideas are enjoying a renaissance, thanks to Dr. Bussard, and working fusion reactors are making an appearance in high school science fairs. On the theory that the fusor is power-limited, I have scaled down Bussard’s 10 GW design to 360 MW.)
Fictional magnetic bottle fusion drive from
the Attack Vector: Tactical wargame. It uses an as yet undiscovered principle to direct the heat from the fusion reaction out the exhaust instead of vaporizing the reaction chamber. Like the VASIMR it has "gears", a combat mode and a cruise mode. The latter increases specific impulse (exhaust velocity) at the expense of thrust.
In the illustration, the spikes are solid-state graphite heat radiators, the cage the spikes emerge from is the magnetic bottle, the sphere is the crew quarters and the yellow rectangles are the retractable power reactor heat radiators. The ship in the lower left corner is signaling its surrender by
deploying its radiators.
These use the heat generated from a nuclear reaction to heat up propellant. The nuclear reaction is controlled by adjusting the amount of free neutrons inside the mass of fissioning material.
As a side effect, if you have a cluster of several such engines it is vitally important to have distance and neutron shields between them. Otherwise the nuclear reaction in each engine will flare out of control due to the neutron flux from its neighbor engines.
Figure 11-11 from NUCLEAR SPACE PROPULSION by Holmes F. Crouch. Note neutron isolation shield.
An interpretation by master artist William Black. Note neutron isolation shield (10).
Solid Core
Solid Core NTR
3200° K
Exhaust velocity (H1)
16,000? m/s
Exhaust velocity (H2)
8,093 m/s
Exhaust velocity (CH4)
6,318 m/s
Exhaust velocity (NH3)
5,101 m/s
Exhaust velocity (H2O)
4,042 m/s
Exhaust velocity (CO2)
3,306 m/s
Exhaust velocity (CO or N2)
2,649 m/s
Nuclear thermal rocket / solid core fission. It's a real simple concept. Put a nuclear reactor on top of an exhaust nozzle. Instead of running water through the reactor and into a generator, run hydrogen through it and into the nozzle. By diverting the hydrogen to a turbine generator 60 megawatts can be generated. The reactor elements have to be durable, since erosion will contaminate the exhaust with fissionable materials. The exhaust velocity limit is fixed by the melting point of the reactor.
Solid core nuclear thermal rockets have a nominal core temperature of 2,750 K (4,490° F).
Hydrogen gives the best exhaust velocity, but the other propellants are given in the table since a spacecraft may be forced to re-fuel on whatever working fluids are available locally (what Jerry Pournelle calls "Wilderness re-fuelling", Robert Zubrin calls "In-situ Resource Utilization", and I call "the enlisted men get to go out and shovel whatever they can find into the propellant tanks"). For thermal drives in general, and NTR-SOLID in particular, the exhaust velocity imparted to a particular propellant by a given temperature is proportional to
1 / sqrt( molar mass of propellant chemical ).
The value for "hydrogen" in the table is for molecular hydrogen, i.e., H2. Atomic hydrogen would be even better, but unfortunately it tends to explode at the clank of a falling dust speck (Heinlein calls atomic hydrogen "Single-H"). Another reason to avoid hydrogen is the difficulty of storing the blasted stuff, and its annoyingly low density (Ammonia is about eight times as dense!). Exhaust velocities are listed for a realistically attainable core temperature of 3200 degrees K for the propellants Hydrogen (H2), Methane (CH4), Ammonia (NH3), Water (H2O), Carbon Dioxide (CO2), Carbon Monoxide (CO), and Nitrogen (N2).
The exhaust velocities are larger than what one would expect given the molecular weight of the propellants because in the intense heat they break down into their components. Ammonia is nice because it breaks down into gases (Hydrogen and Nitrogen). Methane is nasty because it breaks down into Hydrogen and Carbon, the latter tends to clog the reactor with soot deposits. Water is most unhelpful since it doesn't break down much at all.
Dr. John Schilling figures that as an order of magnitude guess, about one day of full power operation would result in enough fuel burnup to require reprocessing of the fissionable fuel elements. (meaning that while there is still plenty of fissionables in the fuel rod, enough by-products have accumulated that the clogged rod produces less and less energy) A reprocessing plant could recover 55-95% of the fuel. With reprocessing, in the long term each totally consumed kilogram of plutonium or highly enriched uranium (HEU) will yield ~1E10 newton-seconds of impulse at a specific impulse of ~1000 seconds.
Dr. Schilling also warns that there is a minimum amount of fissionable material for a viable reactor. Figure a minimum of 50 kilograms of HEU.
One problem with solid-core NTRs is that if the propellant is corrosive, that is, if it is oxidizing or reducing, heating it up to three thousand degrees is just going to make it more reactive. Without a protective coating, the propellant will start corroding away the interior of the reactor, which will make for some real excitement when it starts dissolving the radioactive fuel rods. What's worse, a protective coating against an oxidizing chemical is worthless against a reducing chemical, which will put a crimp in your wilderness refueling. And trying to protect against both is an engineering nightmare. Oxidizing propellants include oxygen, water, and carbon dioxide, while reducing propellants include hydrogen, ammonia, and methane. Carbon Monoxide is neither, as the carbon atom has a death-grip on the oxygen atom.
Keep in mind that the oxidizing/reducing effect is only a problem with solid-core NTRs, not the other kinds. This is because only the solid-core NTRs have solid reactor elements exposed to the propellant (for heating).
"The enlisted men get to go out and shovel whatever they can find into the propellant tanks"
Nuclear Engine for Rocket Vehicle Applications. The first type of NTR-SOLID propulsion systems. It used reactor fuel rods surrounded by a neutron reflector. Unfortunately its thrust to weight ratio is less than one, so no lift-offs with this rocket. The trouble was inadequate propellant mass flow, the result of trying to squeeze too much hydrogen through too few channels in the reactor.
This was a competing design to NERVA. It was shelved political decision that, (in order to cut costs on the atomic rocket projects) required both projects to use an already designed NEVRA engine nozzle. Unfortunately, said nozzle was not compatible with the DUMBO active cooling needs. Dumbo does, however, have a far superior mass flow to the NERVA, and thus a far superior thrust. Dumbo actually had a thrust to weight ratio greater than one. NASA still shelved DUMBO because [a] NERVA used off the shelf components and [b] they knew there was no way in heck that they could get permission for nuclear lift-off rocket so who cares if T/W < 0? You can read more about Dumbo in this document.
Note that the "engine mass" entry for the various models does not include extras like the mass of the exhaust nozzle, mass of control drums, or mass of radiation shadow shield.
(bad photocopy of a ) Rough schematic of Dumbo engine. Liquid hydrogen propellant enters top and flows through beryllium neutron reflector, cooling it. Flows upward through a Cold Gas Entrance into interior of a reactor tube. Hydrogen seeps through walls of tube, being heated by fissioning uranium. Hot hydrogen escapes through hot gas exit holes in bottom, entering exhaust nozzle. Beryllium reflector will have control drums (not shown)
Cross section of a reactor tube, showing the channels the hydrogen escapes through. Every other channel is filled with uranium, the other channels the hydrogen passes through while being heated. Hydrogen travels from center of tube through the channels to the outside.
Model "A" Dumbo. These models are not optimized, they are simply to compare and contrast how engine performance changes with number of reactor tubes and use of either molybdenum or tungsten. This model has 19 reactor tubes and uses molybdenum. The "moderator" is the layer of the reactor tube wall containing uranium. Flow of hydrogen propellant is as per the description in the rough schematic.
Model "B" Dumbo. Again this is not optimized. The main difference from the model "A" is that it has 169 reactor tubes instead of only 19.
Model "C" Dumbo. Again this is not optimized. This has 19 reactor tubes like the model "A", but uses tungsten instead of molybdenum. Because tungsten requires more moderator, the hydrogen flow is the opposite of the "A" and "B". Instead the cool hydrogen starts outside of the reactor tube, and is heated as it flows to the interior of the tube.
Pebble Bed
Pebble Bed
Exhaust Velocity
9,530 m/s
Specific Impulse
971 s
Thrust
333,617 N
Thrust Power
1.6 GW
Mass Flow
35 kg/s
Total Engine Mass
1,700 kg
T/W
20
Fuel
Fission: Uranium 235
Reactor
Solid Core
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
1 kg/MW
Particle bed / nuclear thermal rocket AKA fluidized-bed, dust-bed, or rotating-bed reactor. In the particle-bed reactor, the nuclear fuel is in the form of a particulate bed through which the working fluid is pumped. This permits operation at a higher temperature than the solid-core reactor by reducing the fuel strength requirements . The core of the reactor is rotated (approximately 3000 rpm) about its longitudinal axis such that the fuel bed is centrifuged against the inner surface of a cylindrical wall through which hydrogen gas is injected. This rotating bed reactor has the advantage that the radioactive particle core can be dumped at the end of an operational cycle and recharged prior to a subsequent burn, thus eliminating the need for decay heat removal, minimizing shielding requirements, and simplifying maintenance and refurbishment operations.
Cermet
Prismatic CERMET Reactor Concept. Click for larger image
The NERVA (Nuclear Engine for Rocket
Vehicle Application) system captures the neutronic energy of a nuclear
reaction using a heat exchanger cooled by water or liquid hydrogen.
The exchanger uses thin foil or advanced dumbo fuel elements with
cermet (ceramic-metal) substrates, jacketed by a beryllium oxide
neutron reflector.
The chamber temperature is limited to 3100K for
the extended operational life of the solid fuel elements, which can be
fission, fusion, or antimatter. At this temperature, the disassociation of
molecular H2 to H significantly boosts specific impulse at chamber
pressures below 10 atm.
A propellant tank pressurized to 2 atm expels
the LH2 coolant into the exchanger without the need for turbopumps.
This open-cycle coolant is expanded through a hydrogen-cooled
nozzle of refractory metal to obtain thrust.
The efficiencies are 96% thermal,
76% frozen-flow (mainly H2 dissociation, less recombination in the nozzle), and
96% nozzle. A 940 MWth heat exchanger yields a thrust of 134 kN, and a
specific impulse of 1 ksec, at a power density of 340 MW/m3.
Altseimer, et al.,
“Operating Characteristics and Requirements for the NERVA Flight Engine,” AIAA Paper 70-676,
June 1970.
LOX-augmented Nuclear Thermal Rocket. One of the systems that can increase thrust by lowering Isp. This concept involves the use of a "conventional" hydrogen (H2) NTR with oxygen (O2) injected into the nozzle. The injected O2 acts like an "afterburner" and operates in a "reverse scramjet" mode. This makes it possible to augment (and vary) the thrust (from what would otherwise be a relatively small NTR engine) at the expense of reduced Isp
Say your spacecraft has an honest-to-Johnny NERVA nuclear-thermal propulsion system. Typically it operates for a few minutes at a time, then sits idle for the rest of the entire mission. Before each use, one has to warm up the reactor, and after use the reactor has to be cooled down. Each of these thermal cycles puts stress on the engine. And the cooling process consists of wasting propellant, flushing it through the reactor just to cool it off instead of producing thrust.
Meanwhile, during the rest of the mission, your spacecraft needs electricity to run life support, radio, radar, computers, and other incidental things.
So make that reactor do double duty (that's where the "Bimodal" comes in) and kill two birds with one stone. Refer to above diagram. Basically you take a NERVA and attach a power generation unit to the side. The NERVA section is the "cryogenic H2 propellant tank", the turbopump, and the thermal propulsion unit. The power generation section is the generator, the radiator, the heat exchanger, and the compressor.
Warm up your reactor once, do a thrust burn, stop the propellant flow and use the heat exchanger and radiator to partially cool the reactor to power generation levels, and keep the reactor warm for the rest of the mission while generating electricity for the ship.
This allows you to get away with only one full warm/cool thermal cycle in the entire mission instead of one per burn. No propellant is wasted as coolant since the radiator cools down the reactor. The reactor supplies needed electricity. And as an added bonus, the reactor is in a constant pre-heated state. This means that in case of emergency one can power up and do a burn in a fraction of the time required by a cold reactor.
Pretty ingenious, eh?
And the Pratt & Whitney company went one step better. They took the Bimodal NTR concept and merged it with the LANTR concept to make a Trimodal NTR. Called the Triton, it can be used in LANTR mode when thrust is more important than specific impulse, NTR mode when specific impulse is more important than thrust, and in power generation mode while coasting.
Bimodal NTR schematic
TRITON Trimodal schematic
TRITON Trimodal
TRITON Trimodal and Brayton radiator
Dual-mode Fission
Dual-mode Fission
Exhaust Velocity
9,810 m/s
Specific Impulse
1,000 s
Thrust
124,700 N
Thrust Power
0.6 GW
Mass Flow
13 kg/s
Total Engine Mass
33,000 kg
T/W
0.39
Thermal eff.
94%
Total eff.
94%
Fuel
Fission: Uranium 235
Reactor
Solid Core
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
54 kg/MW
Special
Bimodal
Thermal Electrical eff.
19%
Electrical Power
60 MWe
When struck by a thermal neutron, a fissile nuclide splits into two fragments plus energy. For example, the fission of the 235U atom produces 165 MeV of energy plus 12 MeV of neutral radiation (gammas and a couple of fast neutrons). The fast neutrons must be thermalized by a low Z moderator (a surrounding blanket of about 80 cm of D2O, Be, liquid or gas D2, or CD4), which returns enough thermal neutrons to the core to sustain the chain reaction. (Thermal neutrons diffuse through the reactor like a low pressure gas.) Alternatively, a molybdenum neutron reflector can be used. Much of a reactor’s mass is constant, regardless of power level. Therefore, nuclear power sources are more attractive at higher power levels.
The 650 MWth system illustrated is dual mode, which can either generate electricity, or directly exhaust coolant for thrust. It uses a fast reactor with fuel tubes interspersed with cooling tubes. The coolant is lithium, which for electrical power is passed to a potassium boiler at 1650 K. The potassium vapor is passed to a static (AMTEC) or dynamic (turbine) heat engine for power generation (60 MWe), or heats hydrogen in a heat exchanger for thrust (125 kN at a specific impulse of 1 ks). The thermal efficiency is 19% if closed-cycle (for power generation) or 94% if open-cycle (for thrust).
This is a graphite-moderated, gas-cooled, nuclear reactor that uses spherical fuel elements called "pebbles". These tennis ball-sized pebbles are made of pyrolytic graphite (which acts as the moderator), interspersed with thousands of micro fuel particles of a fissile material (such as 235U).
In the reactor illustrated, 360,000 pebbles are placed together to create a 120 MWth reactor. The spaces between the pebbles form the "piping" in the core for the coolant, either propellant or inert He/Xe gas.
The design illustrated can is dual mode. It can operate either as a generator for 60 MWe of electricity, or act as a solid-core thruster using hydrogen propellant/coolant expelled at a specific impulse of 1 ksec. When used as a thruster, it offers a slight increase in specific impulse but significant acceleration benefits over traditional fission reactors. Moreover, the high temperatures (up to 1900 K) allow higher thermal efficiencies (up to 50%).
MInature ReacTor EnginE. MITEE is actually a family of engines. These are small designs, suitable
for launching on existing boosters. You can find more details here.
Basic
Basic MITEE
Exhaust Velocity
9,810 m/s
Specific Impulse
1,000 s
Thrust
14,000 N
Thrust Power
68.7 MW
Mass Flow
1 kg/s
Total Engine Mass
200 kg
T/W
7
Fuel
Fission: Uranium 235
Reactor
Solid Core
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
3 kg/MW
The baseline design is a fairly conventional NTR. Unlike earlier designs it keeps the fuel elements in individual pressure tubes instead of a single pressure vessel, making it lighter and allowing slightly higher temperatures and a bit better exhaust velocity.
Monatomic H
Monatomic-H MITEE
Exhaust Velocity
12,750 m/s
Specific Impulse
1,300 s
Thrust
2,350 N
Thrust Power
15.0 MW
Mass Flow
0.18 kg/s
Total Engine Mass
200 kg
T/W
1
Fuel
Fission: Uranium 235
Reactor
Solid Core
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
13 kg/MW
This advanced design works at a lower chamber pressure so that some of the H2 propellant disassociates into monatomic hydrogen, although the chamber temperature is only slightly greater. The drawback is that this reduces the mass flow through the reactor, limiting reactor power.
Hybrid
HybridMITEE
Exhaust Velocity
17,660 m/s
Specific Impulse
1,800 s
Thrust
1,700 N
Thrust Power
15.0 MW
Mass Flow
0.10 kg/s
Total Engine Mass
10,000 kg
T/W
0.02
Fuel
Fission: Uranium 235
Reactor
Solid Core
Remass
Single-H
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
666 kg/MW
The use of individual pressure tubes in the reactor allows some fuel
channels to be run at high pressure while others are run at a lower pressure, facilitating a hybrid electro-thermal design. In this design cold H2 is heated in the high pressure section of the reactor, is expanded through a turbine connected to a generator, then reheated in the low pressure section of the reactor before flowing to the nozzle. The electricity generated by the turbine is used to break down more H2 into monatomic hydrogen, increasing the exhaust velocity. Since this is a once through system there is no need for radiators so the weight penalty would not be excessive.
Liquid Core
Liquid Core 1
Exhaust Velocity
16,000 m/s
Specific Impulse
1,631 s
Thrust
7,000,000 N
Thrust Power
56.0 GW
Mass Flow
438 kg/s
Total Engine Mass
70,000 kg
T/W
10
Fuel
Fission: Uranium 235
Reactor
Liquid Core
Remass
Water
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
1 kg/MW
Liquid Core 2
Exhaust velocity
14,700 to 25,500 m/s
Nuclear thermal rocket / liquid core fission. Similar to an NTR-GAS, but the fissionable core is merely molten, not gaseous. A dense high temperature fluid contains the fissionable material, and the hydrogen propellant is bubbled through to be heated. The propellant will be raised to a temperature somewhere between the melting and boiling point of the fluid. Candidates for the fluid include tungsten (boiling 6160K), osmium (boiling 5770K), rhenium (boiling 6170K), or tantalum (boiling 6370K).
Liquid core nuclear thermal rockets have a nominal core temperature of 5,250 K (8,990°F).
The reaction chamber is a cylinder which is spun to make the molten fluid adhere to the walls, the reaction mass in injected radially (cooling the walls of the chamber) to be heated and expelled out the exhaust nozzle.
Starting up the engine for a thrust burn will be complicated and tricky, shutting it down even more so. Keeping the fissioning fluid contained in the chamber instead of escaping out the nozzle will also be a problem.
Nuclear thermal rocket / liquid annular reactor system. A type of NTR-LIQUID. You can find more details
here
Vapor Core
Vapor Core
Thrust Power
1.6 GW
Exhaust velocity
9,800 to 11,800 m/s
Thrust
330,000 n
Propellant mass flow
30 kg/sec
Reactor thermal power
1,400 to 1,800 MW
Total engine mass
6.83 tonne
Fuel element mass total
1.35 tonne
Forward reflector mass
0.60 tonne
Aft reflector mass
0.51 tonne
Radial reflector mass
2.47 tonne
Radiation shield mass
0.9 tonne
Total reactor mass
5.83 tonne
Misc. engine component mass
0.9 tonne
T/W
5
Fuel
Fission: Uranium Hexafluoride
Reactor
Vapor Core
Remass
Liquid Hydrogen
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Nozzle
Specific Power
4 kg/MW
This is sort of an intermediate step in learning how to design a full-blown Gas Core Nuclear Thermal Rocket. It is basically a solid core NTR where the solid nuclear fuel elements are replaced by chambers filled with uranium235 tetrafluoride vapor. The engine is admirably compact with a nicely low critical mass, and an impressive thrust-to-weight ratio of 5-to-1. However the specific impulse / exhaust velocity is only slightly better than a solid core.
In other words, the system is not to be developed because it has fantastic performance, but because it will be an educational step to building a system that does.
The uranium fuel is kept physically separate from the hydrogen propellant, so the exhaust is not radioactive.
A 330,000 newton thrust NVTR would have a core with almost 4,000 fuel elements, with a core radius of 120 cm, core height of 150 cm, and 1,800 MW. Criticality can be achieved with smaller cores: a core volume five times smaller with radius of 60 cm, height of 120 cm, and power of 360 MW.
Data is from Conceptual Design of a Vapor Core Reactor Rocket Engine for Space Propulsion by E.T. Dugan, N.J. Diaz, S.A. Kuras, S.P. Keshavmurthy, and I. Maya (1996).
Reflectors
Side
Composition
Thickness
Mass
Forward
Beryllium oxide
15 cm
0.60 tonne
Aft
C-C Composite
25 cm
0.51 tonne
Radial
Beryllium oxide
15 cm
2.47 tonne
Schematic of NVTR Fuel Element
CORE: 2000 fuel elements
Radius
0.5 m
Height
1.5 m
Fuel channel per element
12 to 32
Hydrogen channel per element
12 to 32
Critical mass
20 kg
Hydrogen pressure
100 atm
UF4 pressure
100 atm
Fuel center temperature
4,500 K
P= psia, T=deg-R, W=lbm/s, H=BTU/lbm, S=BTU/lbm-R. Flowrates indicated are for one-half of system
Closed-cycle gaseous core fission / nuclear thermal rocket AKA "Nuclear Lightbulb". Similar to an open-cycle gas core fission rocket, but the uranium plasma is confined in a fused quartz chamber. It is sort of like a child's classic Easy-Bake Oven. Except that there is propellant instead of cake mix and the light bulb is full of fissioning uranium instead of electricity.
You can read more about this on the Unwanted Blog in the posts here, here, and here.
The good news is that unlike the open-cycle GCNR it does not spray glowing radioactive death there is no uranium escaping in the exhaust. The bad news is that the maximum exhaust velocity is halved, as is the Delta-V. Yes, I did ask some experts if it was possible to make some kind of hybrid that could "shift gears" between closed and open cycle. Sorry, there would be no savings over just having two separate engines.
The maximum exhaust velocity is halved because you are trying to have it both ways at once. The higher the propellant's temperature, the higher the exhaust velocity and rocket Delta-V. Unfortunately solid core nuclear reactors have a distressing habit of vaporizing at high temperatures (as do all material objects). Gas core reactors are attempting to do an end run around this problem, by having the reactor start out as high temperature vapor. But adding the quartz chamber is re-introducing solid material components into the engine, which kind of defeats the purpose. The only thing keeping this from utter failure is the fact that quartz does not heat up as much due to the fact it is transparent.
Even with the restrictions, it seems possible to make a closed-cycle GCNR with a thrust to weight ratio higher than one. This would allow using the awesome might of the atom to boost truely massive amounts of payload into Terra orbit, without creating a radioactive wasteland with every launch. See the GCNR Liberty Ship for an example. The Liberty Ship can boost in one launch more payload than any given Space Shuttle does in the shuttles entire 10 year operating life. Then the Liberty Ship can land and do it again.
The ideal solution would be to somehow constrain the uranium by something non-material, such as a mangnetohydrodynamic force field or something like that. Alas, currently such fields can only withstand pressures on the order of the breeze from a flapping mosquito, not the 500 atmospheres of pressure found here. But since researchers are working along the same lines in their attempts to make a fusion reactor, this may change. And I did find a brief reference to something called an "MHD choke" in reference to slowing the escape of uranium into the exhaust stream of an open-cycle gas core rocket. I'm still trying to find more information on that.
The high pressure is to ensure the uranium vapor is dense enough to sustain a fission reaction.
Most fission reactors avoid meltdown, but the vapor core reactor (VCR) runs so hot (25000 K) that its core vaporizes.
At this temperature, the vast majority of the electromagnetic emissions are in the hard ultraviolet range. A “bulb” transparent to this radiation, made of internally-cooled a-silica, bottles the gaseous uranium hexafluoride, while letting the fission energy shine through.
The operating pressure is 1000 atm. The UF6 fuel is prevented from condensing on the cooled wall by a vortex flow field created by the tangential injection of a neon “buffer” gas near the inside of the transparent wall.
In a generator mode, the UV uses photovoltaics to generate electricity. In a propulsion mode, the UV heats seeded hydrogen propellant, which exits at a specific impulse of 2000 seconds.
The pictured engine is the "reference engine" described in the report Studies of Specific Nuclear Light Bulb and Open-Cycle Vortex-Stabilized Gaseous Nuclear Rocket Engines. I will give the high-lights from the report, but for all the boring nitty-gritty details you'll have to read the report yourself. Please note that as always, "down" is the direction the thrust is going (to the right in the blueprint) and "up" is the opposite direction (to the left). I apologize for the use of imperial units instead of metric. The report is in imperial, and it is too much of a pain to change everything.
The important statistics: Specific impulse is 1870 seconds (18,300 m/s), thrust 409,000 newtons, engine mass 32,000 kg, thrust-to-weight ratio 1.3.
The other stats. The total volume of the reaction chambers (cavities) is 170 cubic feet. There are seven cavities, each six feet long. The cavity pressure is 500 atmospheres. The specific impulse is 1870 seconds (report says can theoretically be from 1500 to 3000 seconds). The total propellant flow (including seed and nozzle transpirant coolant flow) is 49.3 pounds per second. The thrust is 92,000 pounds. The engine power is 4600 megawatts. The engine weight is 70,000 pounds. If one can design a variable-throat-area nozzle (instead of fixed-area) this will result in a major decrease in the required chamber pressure during startup.
Configuration
The basic configuration is seven separate unit cavities surrounded by moderator-reflector material in between each cavity (beryllium oxide) and surrounding the entire cavity array (graphite). Each cavity is 6.0 feet long and the total volume of all seven cavities is 169.8 cubic feet. The cavity pressure is 500 atmospheres due to criticality and fuel density considerations.
Lightbulbs
In each lightbulb, a critical mass of gaseous uranium creates thermal radiation. The thermal radiation can pass through the transparent quartz crystal walls of the lightbulb, but the uranium vapor cannot. This means no lethal uranium enters the exhaust. Hydrogen propellant flowing over the lightbulb is heated to high temperatures by the thermal radiation and is expelled out the rocket nozzles, producing thrust. The hydrogen is "seeded" with tungsten dust because it too is ordinarily transparent to thermal radiation. The seeding makes it opaque, and allows it to be heated. Seven "lightbulbs" are used instead of one, since that increases the total lightbulb radiating area by about 2.2 times.
Transparent quartz walls
The transparent quartz wall of the lightbulb contains lots of coolant channels. This is because the quartz is mostly transparent to thermal radiation, but not totally. And fissioning uranium produces an awful lot of thermal radiation. I told you that nuclear lightbulb designers were trying to have it both ways. The coolant channels are marked "circumferential coolant tubes" in the diagram below.
Inside a lightbulb
Inside the lightbulb, neon buffer gas is used to create a vortex ring to suspend the gaseous nuclear fuel (a "radial inflow" vortex). The vortex ring looks like an elongated donut (I know it looks like two separate blobs above, that's due to the fact the diagram is a cross-section). One of the important jobs done by the neon buffer gas is to prevent the 42,000°R uranium plasma from making contact with the lightbulb walls. This would be very bad, as the walls would be instantly vaporized. The neon passes along the lightbulb walls, bends round the end caps, then travels down the long axis of the lightbulb (right down the center of the vortex ring). When it reaches the fore end cap, it is removed from the lightbulb through a port (marked "thru-flow" in diagram above).
The removed neon is very hot, and contains unburnt uranium and fission products. It is cooled by mixing with low-temperature neon, which condenses the unburnt uranium vapor into hot liquid uranium. The liquid uranium is separated from the neon by a centrifuge and sent back into the vortex (at point marked "fuel injection"). The neon is cooled further then it too is sent back into the vortex (at point marked "buffer gas injection"). While examining the blueprint, I noticed that the centrifuges, and indeed the entire uranium fuel delivery system is conspicuous by its absence. Probably classified.
Note that the centrifuges is a neat solution to the problem of fission fragments clogging up the fuel. In essence, this design has its own built-in nuclear fuel reprocessing plant. Of course the nasty fission fragments will have to be stored and eventually disposed of.
Lightbulb dimensions
The total volume inside all the lightbulbs is 84.9 cubic feet, which is 12.1 cubic feet per lightbulb. The radius of the uranium fuel containing region is 85% of the radius of the transparent wall. While the fissioning uranium fuel has a core temperature of 42,000° Rankine, the outer surface is only at 15,000° Rankine.
Propellant flow in a lightbulb
The propellant is assumed to exit with a temperature of 80% of the fuel temperature, or 12,000° Rankine. This is because the quartz transparent walls will reflect about 15% of the thermal radiation back inside. By some compilcated reasoning that you will find in the report, the total thermal radiation from the lightbulbs is 4.37 x 106 BTU/sec. The hydrogen propellant has an "enthalpy" of 1.033 x 105 BTU/pound at 12,000°R. So by dividing the two, one discovers that the entire engine can support a propellant flow rate of 42.3 pounds per second, which means 6.07 lb/sec for each of the seven cavities.
If that last paragraph confused you, let me explain. As a simple example, if a pound of hydrogen at 5°R contains 2 BTUs ("enthalpy"), and the engine puts out 6 BTU per second, then obviously the engine can heat up 6 / 2 = 3 pounds of hydrogen per second. Why do we care? If you multiply the propellant flow rate by the exhaust velocity you will discover the engine's thrust value. And that's a number we do care about.
Colored diagram of a primary circuit inlet.
The tungsten dust that the propellant is seeded with has a particle diameter of 0.05 microns. The seed density is 1.32 x 10-2 lb/ft3, which is about 3.9 percent of the inlet propellant density. This can probably be reduced if tungsten dust was in the form of thin flat plates instead of spherical particles.
The hydrogen propellant enters the pressure shells from the fore end (see "Primary Circuit Inlet" in pressure shell diagram below). A bit is bled off from small H2 flow ports in order to pressurize the interior of the shells, circulating to provide coolant to the engines and machinery. But most of it is fed into the turbopump, then injected into the cavities. Since the fore end of each cavity is almost blocked off by the butt end of the lightbulb, there is only a narrow rim to inject the hydrogen.
In the diagram to the right, you can see how the propellant is fed from the pink pipe into the pink-and-gold wedge-shaped injectors. I presume there are three injectors per cavity, spraying into the clear area between the transparent wall's coolant manifolds and buffer gas injectors.
Uranium fuel
The total fissioning uranium in all seven vortexes be about 25.2 pounds of uranium (about 3.6 pounds per cavity). You would ordinarily need more to ensure nuclear criticality, but the required amount is brought down by the beryllium oxide neutron reflector encasing each cavity. The average uranium fuel density is 0.409 lb/ft3. The total density of the neon-uranium mix inside the vortex is about 0.56 lb/ft3. A unit of neon gas will spend about 3.8 seconds inside the cavity. A unit of uranium will spend about 19 seconds inside the cavity. This implies a uranium fuel flow rate of 0.19 lb/sec per cavity.
According to my slide rule, if the array of seven cavities is producing 4,600 megawatts, it means that the array is burning a miniscule total of 0.055 grams (0.00012 pounds) of uranium fuel per second (0.0079 grams per cavity per second). It still needs the full 3.6 pounds per cavity to be present in order to burn the fraction of a gram.
The theoretical maximum specific impulse possible is 2230 seconds. Due to this designs incomplete expansion, transpiration coolant flow in the nozzle, presence of tungsten seeding, and friction losses the specific impulse is reduced to 84% or 1870 seconds. Total propellant flow (allowing for tungsten seeds and transpiration cooling) is 49.3 lb/sec. This would result in a thrust of 92,000 pounds force. For complicated reasons you can find in the report, this implies that the exhaust nozzles are 0.0875 feet in diameter at the throat expanding to 2.04 feet diameter at the exit.
Uranium refueling
Careful readers may have noticed how the description avoids mentioning the details on how one gets the uranium into the lightbulbs. This is because it is quite a difficult problem, and each of the proposed solutions has drawbacks. The basic problem is old reliable: all the atomic fireworks inherent in 235U will happen if you merely let too much of it accumulate in one place. You have to store it diffuse and somehow bring it together in the lightbulb.
Method #1 Store it as uranium hexafluoride gas. This would be in large tanks of low pressure (i.e., low density) and with the tanks full of neutron absorbing foam. Pump enough into the lightbulb, a chain reaction will start, and well before the reaction reaches 13,000°R the uranium will have separated from the fluorine.
The problem is that now you have the insanely dangerous task of dealing with 13,000°R fluorine gas. At room temperature the blasted stuff will violently react with any element in the known universe except helium and neon. A temperature of 13,000°R makes it about 13,000 times as deadly. It will explosively corrode away anything solid in its path like molten lead on facial tissue. Chemist Derek Lowe sarcastically notes that "At seven hundred freaking degrees, fluorine starts to dissociate into monoatomic radicals, thereby losing its gentle and forgiving nature." You can read more about the suicidal risk of dealing with hot fluorine in his amusing blog post.
Method #2 Store it as sub-critical chunks of uranium, melt them, and inject the molten uranium into the lightbulb. Uranium melts at 1403°K, which is difficult but not impossible. The plan is to somehow turn the molten uranium into a sort of aerosol mist suspended in hot neon.
The problem is that the molten uranium wants to plate itself all over the melter and the aerosol spray equipment. Which is annoying if the material in question is something like lead, but disasterous if the material is radioactive and fissionable.
Method #3 is to store the uranium cold as finely divided dust. As dust it is pumpable, injectable, and it will not plate over everything. Inside the lightbulb the uranium dust will be rapidly heated to vaporization by the nuclear reaction. This method does not have any major problems, except for the common problem of how to protect the transparent wall from being vaporized by the heat.
Again, the uranium delivery system seems to be totally missing from the blueprint. The only bit present is the short stub of the injector at the top of each lightbulb.
Pressure shells
The entire engine is encased in two nested pressure shells constructed of filament-wound fiberglass. The inside of the inner shell is pressurized to 500 atmospheres. Hydrogen propellant enters through a 0.5 foot diameter duct at the fore end (aka "Primary Circuit Inlet"). There are seven 0.4 foot diameter holes in the aft end for the engine nozzles, one at zero degrees off-axis, the other six at 60°. The pressure shell can be separated into two parts along the flange at the point of maximum diameter, to allow an engineer or waldo manipulator access to the engine interior. This point is also where the rear structural grid protrudes from the interior, this is where the engine bolts onto the structural frame of the spacecraft to transmit the engine thrust.
If you look at the large blueprint, you will see that parts of the rear structural grid penetrate the cavities to support the end-caps of the quartz lightbulbs.
Coolant system
The plumbing for the coolant system is rather complicated (translation: I don't understand it all). Click for larger image. You can use this diagram along with the large blueprint to attempt to puzzle out what all the pipes are for. Basically the propellant enters the system through the "Primary circuit inlet" (at lower left of plumbing diagram, and in the pressure shell diagram above) and leaves the system via the "Propellant injection" arrow, where the propellant is heated by the lightbulbs in the cavity and jets out the exhaust nozzles. In between, the propellant frantically threads its way over every single other engine component in a desperate attempt to cool them off.
Propellant flow overview
In the blueprints you can see how the pipes that feed the propellant injectors are originally fed from horns over the graphite moderators. Which is exactly as per the plumbing diagram.
Propellant flow through a primary circuit inlet.
Colored diagram of a primary circuit inlet.
This is my best guess at how the hydrogen propellant flows through the engine. It may be incorrect, use at your own risk. It starts with the green arrow at the left. This is the Primary circuit inlet at the nose of the engine, where the propellant enters the pressure shell. The pipe splits several ways (probably six ways, one for each outer cavity) and enters the base of the turbopump (arrows change color to Yellow).
Pipe runs to the inner shell, then I hypothesize that there is a connection between the two bumps on the inner shell. Propellant runs to the inner pipe array just on top of the cavities, then it is injected into coolant channels in the beryllium oxide moderator around the tie rods. After cooling the beryllium, it spurts out and enters the base of the graphite moderator surrounding the hexagonal beryllium array (arrows change color to orange). It passes through coolant channels in the graphite, and emerges at the top into the collector horns. There it enters the outer pipe array above the inner pipe array.
This feeds the three wedge shaped propellant injectors on each cavity. This injects the propellant around the edge of the transparent light bulbs (arrows change color to red). The propellant shoots aft while being heated by the thermal radiation from the light bulbs. The hot propellant then jets out the exhuast nozzles and thrust occurs.
Cross sections
Here are a set of cross sections through the cavities. The one on the left is zoomed in on the cavity interior, the other two gradually zoom out.
Circa 1960 NASA-Lewis concept for a gas core nuclear rocket engine. Specific Impulse 2200 seconds (exhaust velocity 22,000 m/s). Thrust 45,000 newtons. Thrust to weight ratio 0.68 (engine mass 66,000 kilograms), reactor diameter 5 meters, overall reactor length 5 meters. The fuel would reach 20,000 degrees R, while the propellant would get to 10,000 degrees R. From The Unwanted Blog.
Gaseous core fission / nuclear thermal rocket AKA consumable nuclear rocket, plasma core, fizzer, cavity reactor rocket. The limit on NTR-SOLID exhaust velocities is the melting point of the reactor. Some engineer who obviously likes thinking "outside of the box" tried to make a liability into a virtue. They asked the question "what if the reactor was already molten?"
Gaseous uranium is injected into the reaction chamber until there is enough to start a furious chain reaction. Hydrogen is then injected from the chamber walls into the center of this nuclear inferno where is flash heats and shoots out the exhaust nozzle.
The trouble is the uranium shoots out the exhaust as well.
The reaction is maintained in a vortex tailored to minimize loss of uranium out the nozzle. Fuel is uranium hexaflouride (U235F6), propellant is hydrogen. However, in one of the designs, U235 is injected by gradually inserting into the fireball a long rod of solid uranium. The loss of uranium in the exhaust reduces efficiency and angers environmentalists.
Open-cycle gas core nuclear thermal rockets have a nominal core temperature of 21,000 K (37,340°F).
In some designs the reaction chamber is spun like a centrifuge. This encourages the heavier uranium to stay in the chamber instead of leaking into the exhaust. This makes for a rather spectacular failure mode if the centrifuge's bearings seize.
If used for lift off it can result in a dramatic decrease in the property values around the spaceport, if not the entire county. An exhaust plume containing radioactive uranium is harmless in space but catastrophic in Earth's atmosphere.
Amusingly enough, this is the best match for the propulsion system used in the TOM CORBETT: SPACE CADET books. However the books are sufficiently vague that it is possible the Polaris used a nuclear lightbulb. According to technical advisor Willy Ley, "reactant" is the hydrogen propellant, but the books imply that reactant is the liquid uranium.
From NASA Report, Gas Core Reactors - A New Look TM X-67823
From US Patent 3714782 Gasous Nuclear Rocket Engine (1969)
Nexus gas core heavy lift vehicle (1964).
Isp of 2220 seconds, payload delivery of one million pounds to lunar orbit. From The Unwanted Blog
Nexus with chemical first stage, and gas core second stage. From The Unwanted Blog
CGI 3D rendering of the Nexus engines created by William Black
CGI 3D rendering of the Nexus engines created by William Black
Porous Wall Gas Core Engine
GAS CORE FISSION THERMAL ROCKETS
The temperature limitations imposed on the solid core thermal rocket designs by the need to avoid material melting can be overcome, in principle, by allowing the nuclear fuel to exist in a high temperature (10,000 — 100,000 K), partially ionized plasma state. In this so-called "gaseous- or plasma-core" concept, an incandescent cylinder or sphere of fissioning uranium plasma functions as the fuel element. Nuclear heat released within the plasma and dissipated as thermal radiation from its surface is absorbed by a surrounding envelope of seeded hydrogen propellant that is then expanded through a nozzle to provide thrust. Propellant seeding (with small amounts of graphite or tungsten powder) is necessary to insure that the thermal radiation is absorbed predominantly by the hydrogen and not by the cavity walls that surround the plasma. With the gas core rocket (GCR) concept Isp values ranging from 1500 to 7000 s appear to be feasible [Ref. 26]. Of the various ideas proposed for a gas core engine, two concepts have emerged that have considerable promise: an open cycle configuration, where the uranium plasma is in direct contact with the hydrogen propellant, and a closed-cycle approach, known as the "nuclear light bulb engine" concept, which isolates the plasma from the propellant by means of a transparent, cooled solid barrier.
Porous Wall Gas Core Engine
The "open cycle," or "porous wall," gas core rocket is illustrated in Fig. 9. It is basically spherical in shape and consists of three solid regions: an outer pressure vessel, a neutron reflector/moderator region and an inner porous liner. Beryllium oxide (BeO) is selected for the moderator material because of its high operating temperature and its compatibility with hydrogen. The open cycle GCR requires a relatively high pressure plasma (500 — 2000 atm; 1 atm = 1.013 × 105 N/m2 ) to achieve a critical mass. At these pressures the gaseous fuel is also dense enough for the fission fragment stopping distance to be comparable to or smaller than the dimensions of the fuel volume contained within the reactor cavity. Hydrogen propellant, after being ducted through the outer reactor shell, is injected through the porous wall with a flow distribution that creates a relatively stagnant non-recirculating central fuel region in the cavity. A small amount of fissionable fuel (1/4 to 1 % by mass of the hydrogen flow rate) is exhausted, however, along with the heated propellant.
Because the uranium plasma and hot hydrogen are essentially transparent to the high energy gamma rays and neutrons produced during the fission process, the energy content of this radiation (~7—10% of the total reactor power) is deposited principally in the solid regions of the reactor shell. It is the ability to remove this energy, either with an external space radiator or regeneratively using the hydrogen propellant, that determines the maximum power output and achievable Isp for the GCR engines. To illustrate this point, an open cycle engine with a thrust rating of 220 kN (50,000 lbf) is considered. We assume that 7% of reaction energy Prx reaches the solid, temperature-limited portion of the engine and that the remainder is converted to jet power at an isentropic nozzle expansion efficiency of ηj. Based on the realtionships between Isp, reactor power, and propellant flow rate (ṁp) given below.
(ed note: elsewhere in this website, ṁ is called "m-dot")
0.93·Prx(MW) = 4.9×10-6·F(N)·Isp(s) / ηj
0.93·Prx(MW) = 4.9×10-5·ṁp(kg/s)·Isp2(s) / ηj
a 5000 s engine generating 7500 MW of reactor power will require a flow rate of 4.5 kg/s at rated thrust. If the hydrogen is brought into the cavity at a maximum overall operating temperature of 1400 K, no more than 1.2% of the total reactor power (~17% of the neutron and gamma power deposited in the reactor structure) can be removed regeneratively (ṁp cp ΔT ≈ 90 MW). Total removal requires either (1) operating the sold portions of the engine at unrealistically high temperatures (>11,000 K at ṁp = 4.5 kg/s) or (2) increasing the propellant flow rate substantially to 36.8 kg/s (at 1400 K), which reduces the engine's Isp to 1750 s. "Closed cooling cycle" space radiator systems have been proposed [Ref. 27] as a means of maintaining the GCR's operational flexibility. With such a system, adequate engine cooling is possible even during high Isp operation when the hydrogen flow is reduced. Calculations performed by NASA/Lewis Research Center [Ref. 28] indicate that specific impulses ranging from 3000 to 7000 s could be attained in radiator-cooled, porous wall gas core engines.
The performance and engine characteristics for a 5000 s class of open cycle GCRs are summarized in Table 4 for a range of thrust levels. The diameter of the reactor cavity and the thickness of the external reflector/moderator region are fixed at 2.44 m and 0.46 m, respectively, which represents a near-optimum engine configuration. The engine weight (Mw) is composed primarily of the pressure vessel
(Mpv); radiator (Mrad); and moderator (Mmod).
Table 4
Characteristics of 5000 s Porous Wall Gas Core Rocket Engines
For a hydrogen cavity inlet temperature of 1400 K and a heat deposition rate that is 7% of the reactor power, the ratio of radiated to total reactor power is a constant equal to 5.8%.
The weight of the spherical pressure vessel is based on a strength-to-density value of 1.7×l05 N-m/kg [Ref. 29] which Is characteristic of high strength steels.
Used in these estimates is a radiator specific mass of 145 kg/MW [Ref. 28] which is based on a heat rejection temperature of 1225 K and a radiator weight per unit surface area of 19 kg/m2
Density of BeO is 2.96 mT/m3.
By fixing the engine geometry in Table 4 the mass of the BeO moderator remains constant at 36 mT. However, the pressure vessel and radiator weights are both affected by the thrust level. While the radiator weight increases in proportion to the extra power that must be dissipated at higher thrust, the reason for the increase in pressure vessel weight is slightly more subtle. For a constant Isp engine an increase in thrust is achieved by increasing both the reactor power and hydrogen flow rate. In order to radiatively transfer this higher power to the propellant, the uranium fuel temperature increases, necessitating an increase in reactor pressure to maintain a constant critical mass in the engine. Accommodating this increased pressure leads to a heavier pressure vessel. (In going from 22 kN to 440 kN, the engine pressure rises from 570 atm to 1780 atm).
As Table 4 illustrates, the moderator is the major weight component at lower thrust levels (<110 kN) while the radiator becomes increasingly more important at higher thrust. At thrust levels of 220 kN and above, the radiator accounts for more than 50% of the total engine weight. There is therefore a strong incentive to develop high temperature (~1500 K) liquid metal heat pipe radiators that could provide significant weight reductions in the higher thrust engines.
Table 4 also shows an impressive range of specific powers (alphas) and engine thrust-to-weight ratios for the thrust levels examined. The F/Mw ratio for the 22 kN engine is over two orders of magnitude higher than the 5000 s nuclear-powered MPD electric propulsion system proposed in the Pegasus study [Ref. 30]. For manned Mars missions the higher acceleration levels possible with the GCR can lead to significant (factor of 5) reductions in trip time compared to the Pegasus system.
The hotter the core of a thermodynamic
rocket, the better its fuel economy. If it gets hot enough, the solid
core vaporizes.
A vapor core rocket mixes vaporous propellant and
fuel together, and then separates the propellant out so it can be
expelled for thrust. Energy is efficiently transferred from fuel to
propellant by direct molecular collision, radiative heat, and direct
reaction fragment deposition.
The open-cycle arrangement
illustrated accomplishes this by spinning the plasma mixture in a
vortex maintained by tangential injection of preheated propellant from
the reactor walls. The denser material is held to the outside of the
cylindrical reactor vessel by centrifugal force. The fuel is subsequently cooled in a heat
exchanger and recirculated for re-injection at the forward end of the reactor, while the
propellant is exhausted at high velocity.
The plasma source can be fission, antimatter, or
fusion.
For fission reactions, the outer annulus of the vortex is high-density liquid uranium
fuel, and the low-density propellant is bubbled through to the center attaining temperatures
of up to 18500 K. A BeO moderator returns many reaction neutrons to the vortex.
Prompt feedback actuators maintain a critical fuel mass in spite of the turbulent flow of
water or hydrogen propellant. Since the core has attained meltdown, reaction rates must
be maintained by fuel density variation rather than with control rods or drums.
For
antimatter reactions, swirling liquid tungsten (about 4 cm thick) is used instead of
uranium, for absorbing anti-protons.
For fusion reactions, it is the propellant that is
cooler and higher in density, and thus it is the reacting fuel ball that resides at the center
of the vortex.
From "Nuke Your Way to the Stars" by John Cramer in Analog Mid-December 1992. Artist unknown.
NSWR
20% UTB
Exhaust Velocity
66,000 m/s
Specific Impulse
6,728 s
Thrust
12,900,000 N
Thrust Power
425.7 GW
Mass Flow
195 kg/s
Total Engine Mass
33,000 kg
T/W
40
Fuel
Fission: Uranium Tetrabromide
Reactor
Gas Core Open-Cycle
Remass
Water
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Pusher Plate
Specific Power
0.08 kg/MW
90% UTB
Exhaust Velocity
4,700,000 m/s
Specific Impulse
479,103 s
Thrust
13,000,000 N
Thrust Power
30.6 TW
Mass Flow
3 kg/s
This concept by Dr. Zubrin is considered far-fetched by many scientists. The fuel is a 2% solution of 20% enriched Uranium Tetrabromide in water. A Plutonium salt can also be used.
Just to make things clear, there are two percentages here. The fuel is a 2% solution of uranium tetrabromide and water. That is, 2 molecules of uranium tetrabromide per 100 molecules of water.
But the uranium tetrabromide can be 20% enriched. This means that out of every 100 atoms of uranium (or molecules of uranium tetrabromide), 20 are fissionable Uranium-235 and 80 are non-fissionable uranium. If it is 90% enriched, then 90 atoms are Uranium-235 and 10 atoms are non-fissionable. As a side note, 90% enriched is considered "weapons-grade".
The fuel tanks are a bundle of pipes coated with a layer of boron carbide neutron damper. The damper prevents a chain reaction. The fuel is injected into a long cylindrical plenum pipe of large diameter, which terminates in a rocket nozzle. Free of the neutron damper, a critical mass of uranium soon develops. The energy release vaporizes the water, and the blast of steam carries the still reacting uranium out the nozzle.
It is basically a continuously detonating Orion type drive with water as propellant. Although Zubrin puts it like this:
As the solution continues to pour into the plenum from the borated storage pipes, a steady-state conditions of a moving detonating fluid can be set up within the plenum.
He also notes that it is preferable to subject your spacecraft to a steady acceleration (as with the NSWR) as opposed to a series of hammer-blow accelerations (as with Orion).
The controversy is over how to contain such a nuclear explosion. Zubrin maintains that skillful injection of the fuel can force the reaction to occur outside the reaction chamber. He says that the neutron flux is concentrated on the downstream end due to neutron convection. Other scientists are skeptical.
Naturally in such a spacecraft, damage to the fuel tanks can have unfortunate results (say, damage caused by hostile weapons fire). Breach the fuel tubes and you'll have a runaway nuclear chain reaction on your hands. Inside your ship.
The advantage of NSWR is that this is the only known propulsion system that combines high exhaust velocity with high thrust. The disadvantage is that it combines many of the worst problems of the Orion and Gas Core systems. For starters, using it for take-offs will leave a large crater that will glow blue for several hundred million years, as will everything downwind in the fallout area.
Zubrin calculates that the 20% enriched uranium tetrabromide will produce a specific impulse of about 7000 seconds (69,000 m/s exhaust velocity), which is comparable to an ion drive. However, the NSWR is not thrust limited like the ion drive. Since the NSWR vents most of the waste heat out the exhaust nozzle, it can theoretically produce jet power ratings in the thousands of megawatts. Also unlike the ion drive, the engine is relatively lightweight, with no massive power plant required.
Zubrin suggests that a layer of pure water be injected into the plenum to form a moving neutron reflector and to protect the plenum walls and exhaust nozzle from the heat. One wonders how much protection this will offer.
Zubrin gives a sample NSWR configuration. It uses as fuel/propellant a 2% (by number) uranium bromide aqueous solution. The uranium is enriched to 20% U235. This implies that B2 = 0.6136 cm-2 (the material buckling, equal to vΣf-Σa)/D) and D = 0.2433 cm (diffusion coefficent).
Radius of the reaction plenum is set to 3.075 centimeters. this implies that A2 = 0.6117 cm-2 and L2 = 0.0019. Since exponential detonation is desired, k2 = 2L2 = 0.0038 cm-2. Then k = U / 2D = 0.026 cm-1 and U = 0.03.
If the velocity of a thermal neutron is 2200 m/s, this implies that the fluid velocity needs to be 66 m/s. This is only about 4.7% the sound speed of room temperature water so it should be easy to spray the fuel into the plenum chamber at this velocity.
The total rate of mass flow through the plenum chamber is about 196 kg/s.
Complete fission of the U235 would yield about 3.4 x 1012 J/kg. Zubrin assumes a yield of 0.1% (0.2% at the center of the propellant column down to zero at the edge), which would not affect the material buckling during the burn. This gives an energy content of 3.4 x 109 J/kg.
Assume a nozzle efficiency of 0.8, and the result is an exhaust velocity of 66,000 m/s or a specific impules of 6,7300 seconds. The total jet power is 427 gigawatts. The thrust is 12.9 meganewtons. The thrust-to-weight ratio will be about 40, which implies an engine mass of about 33 metric tons.
For exponetial detonation, kz has to be about 4 at the plenum exit. Since k = 0.062 cm-1, the plenum will have to be 65 cm long. The plenum will be 65 cm long with a 3.075 cm radius, plus an exhaust nozzle.
Zubrin then goes on to speculate about a more advanced version of the NSWR, suitable for insterstellar travel. Say that the 2% uranium bromide solution used uranium enriched to 90% U235 instead of only 20%. Assume that the fission yield was 90% instead of 0.1%. And assume a nozzle efficency of
0.9 instead of 0.8.
That would result in an exhaust velocity of a whopping 4,725,000 m/s (about 1.575% c, a specific impulse of 482,140 seconds). In a ship with a mass ratio of 10, it would have a delta V of 3.63% c. Now you're talkin...
From AIAA 90-2371 Nuclear Salt Water Rockets: High Thrust at 10,000 sec Isp
Ken Burnside: In my game universe, the engineers call the pumps that feed Uranium Tetrabromide solution into the reaction chamber "Wileys", reputedly after the engineer who first made them safe to use and maintain.
More than likely, it's after the coyote of the same name...
Winchell Chung: An appropriate name for what are basically atomic squirt-guns.
Salt-water Zubrin thrust card from the game High Frontier. Performance is so good that some players do not allow them to be used in the game. Only drawback is they require lots of heat radiators, and it is difficult to perform the research which allows them to be constructed.
Zubrin NSWR
Exhaust Velocity
78,480 m/s
Specific Impulse
8,000 s
Thrust
8,696,900 N
Thrust Power
0.3 TW
Mass Flow
111 kg/s
Total Engine Mass
495,467 kg
T/W
1.79
Frozen Flow eff.
80%
Total eff.
80%
Fuel
Fission: Uranium Tetrabromide
Reactor
Gas Core Open-Cycle
Remass
Water
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Pusher Plate
Specific Power
1.45 kg/MW
The illustration shows the vision of
Robert Zubrin: a rocket riding on a continuous controlled nuclear
explosion just aft of a nozzle/reaction chamber.
The propellant is
water, containing dissolved salts of fissile uranium or plutonium.
These fuel-salts are stored in a tank made from capillary tubes of
boron carbonate, a strong structural material that strongly absorbs
thermal neutrons, preventing the fission chain reaction that would
otherwise occur.
To start the engine, the salt-water is pumped from
the fuel tank into an absorber-free cylindrical nozzle. The salt-water
velocity is adjusted as it exits the tank so that the thermal neutron
flux peaks sharply in the water-cooled nozzle.
At critical mass
(around 50 kg of salt water), the continuous nuclear explosion
produces 427 GWth, obtaining a thrust of 8600 kN and a
specific impulse of 8 ksec at a thermal efficiency of 99.8%
(with open-cycle cooling). Overall efficiency is 80%.
Robert Zubrin, "Nuclear Salt Water Rockets: High Thrust at 10,000 sec ISP,"
Journal of the British Interplanetary Society 44, 1991.
You need much more propellant than fuel, 22,000 times more in the case of the Zubrin without open cycle cooling, and 44,000 times more if open cycle cooling is used.
The Zubrin drive exhaust (without open cycle cooling) contains 108 kg/sec of water, but only about 5 grams/sec of uranium.
(This is from a quick calculation: mass flow equals the Zubrin thrust (8.7 meganewtons) divided by the exit velocity (80 km/sec) = 108 kg/sec.
But the fissioning energy can be estimated from the Zubrin total power of 427 GW divided by the energy content of Uranium 235 of 83 TJ/kg.)
Dr. Zubrin responded, and he defends the performance of the Zubrin drive as depicted in the game (as high thrust & high specific impulse rocket with low mass and low radiators).
1). In U235 fission, only about 2% of the energy goes into neutrons (unlike D-T fusion).
2). The design uses a pusher plate or open nozzle, like an Orion drive. Or magnetic confinement (since most of the energy is released as a plasma). Therefore, the opportunity to absorb heat is low.
3) Many of the neutrons that are intercepted would sail through the pusher plate, rather than be absorbed as waste heat.
4) No lithium should be in the outer water, because this would poison the fission reactions.
5). Because the design does not use a heat engine cycle, the radiators could be far hotter than ones in the game. He suggested graphite at 2500 K°. That would drop the required radiating area by a factor of 40 (2.5 to the fourth power), which means that the radiator could be the first wall itself.
Dr. Zubrin went on to say the chief disadvantage is the expense of the fuel (like He3-D and antimatter drives).
"So anyway, we were passing through the outer Kirkwood Gap, totally the a** end of nowhere. I'm trying to catch some rack time, XO has the conn, nice boring trip to Europa." The CO of U.S.N.A.S. Saskatchewan tipped back another shot of Scotch and continued his story. "Totally routine, right? No problems at all. So then, all of the sudden, the whole ship gets racked. Meteoroid. Big one, too, maybe a centimeter across."
The captains seated around the table, two Americans including Fitzthomas, an Indian, three Chinese, and the South African, all clucked and groaned.
"Well, we got lucky and it missed the crew compartment, but by the time I get to command the chief engineer is screaming over the intercom that it holed tank one, busted three tubes, and we've got nuke juice pooling and we have to dump the tank. Problem is, we're running at top speed and if we dump the tank, we don't have enough propellant to stop at Europa. We'd have to ride all the way out to Neptune, sling around, and hope someone from the inner solar system has dispatched a tanker to intercept us on the return trip, and we don't have near enough consumables for that."
"So what did you do, mate?" said the South African.
"I told the chief he had to fix the tank or we'd all starve before we could stop the damn ship. Well, he screams some more that we don't have time, and I tell him his choice is fix the tank or die real fast in a runaway, because we're not going to die slow in the void. So he grabs a crew, stuffs them into suits, and crawls out onto the tank. They punch some holes in it to let the juice drain instead of pool, but it's still leaking like a f***** and the water's evaporating and leaving uranium crusted all over everything. So he radios command and says, 'It's still leaking, and all this uranium crud is going to accumulate into a critical mass somewhere, so we still have to drop the tank.' Meteoroid busted open three valves, you see. No way to stop the leak. And I tell him again, that's no good, and by now astrogation has confirmed it and the XO has tallied up the consumables and I know for sure we don't have enough for an unscheduled trip to Neptune.
"So he says something about how he's not a miracle worker, and I tell him he damn well has to be. Lo and behold, he and his crew go ahead and do something crazy and it works."
"What was that?" said the South African.
"They take torches to the tank. The plug up the broken pipes as best they can, and then they go ahead and cut away the smashed cells. Just cut it off and jettison it into space, and suddenly the propellant that's still leaking is leaking right into space. We have lousy flow through the tank and the braking burn is going to be real tricky, but we can make Europa. I put the chief up for a commendation medal for figuring that out on the fly and saving our asses."
The other captains nodded their approval at the chief's quick thinking. Good chiefs prevented accidents; great ones prevented disasters.
"Is the chief's name Mr. Scott, by any chance?" said one of the Chinese captains.
Commander George Allen, New Jersey's full blooded Cherokee XO, drifted into the command deck from astrogation, where he'd been monitoring the final approach to Hektor. He took his place at the copilot station and put on his headset. Fitzthomas toggled his direct channel to Allen's station.
"How was the approach?"
"We wasted too much propellant before the chain reaction started. I think Pennai should inspect the nozzles and pumps before we get underway again."
"What does Pennai say about it?"
Pause. "Pennai thinks the fuel is dirty."
"Is it?"
"It was certified 90% enriched at Roosevelt Station."
"Is there any way to test it here?"
"No sir. Not without a centrifuge."
"How does Pennai know, then?"
"Some engineering technobabble about neutron flux and reaction rate. I couldn't follow a tenth of what she said."
Fitzthomas considered that. "Have her inspect the pumps and nozzle alignment. If they pass, then we might have a fuel problem."
"Captain," said Allen, "Thought you'd like to know: Pennai just inspected the entire fuel line. Everything there is in order."
"So what are you telling me, George?"
"I think we have dirty fuel."
"What's her recommendation?"
"She wants to drain the tanks and top up with the good stuff. But I can't—"
"Write that request, I know. The CO has to. Where's Pennai now?"
"Racked out. She has the midwatch tonight."
"After her watch tonight, she has four days of leave."
"Sir, she's supposed to be OOW all day Wednesday."
"I'll take that shift. She was right, we were wrong. She deserves to be rewarded. When I get back I'll write up a request and have it to the fuelmaster by tomorrow AM."
"Do you have to return to your ship?"
"Yeah. Dirty fuel, God damn it. Wait until I get my hands on the fuelmaster at Roosevelt."
(Admiral Castro said) "Anyway, I saw your chief engineer's report. I passed it back to Fleet. The fuelmaster at Roosevelt Station is going to have a lousy day tomorrow. There's also a bulletin going out to the entire fleet. Everyone who tanked up at Roosevelt near the same time you did should keep a close eye on his reaction rate. Your Lieutenant Pennai might be up for a commendation letter in her file."
Duvalier left Ortiz main engineering and vaulted down the access tube to the reactor room. The tube ran down the ship's spine, surrounded by megaliters of water enriched with uranium salts in highly complex tanks made of neutron absorbing material. In his head, he knew the tube was the safest part of the ship, shielded from the worst the universe could throw at it by dozens of meters of water. In his head, he knew the fuel, so long as it didn't pool into a critical mass somewhere in the thousands of kilomters of pipes on all sides of him, emitted only low intensity alpha rays which couldn't penetrate his own skin, let alone the aluminum skin of the pressure tube. It was all perfectly safe, so far as anything in space could be safe. He knew that in his head.
His b***s, however, hadn't gotten the memo. His testicles tried to crawl up into his body every time he climbed through the hatch.
All of the other nuclear thermal rockets generate heat with nuclear fission, then transfer the heat to a working fluid which becomes the reaction mass. The transfer is always going to be plagued by inefficiency, thanks to the second law of thermodynamics. What if you could eliminate the middleman, and use the fission heat directly with no transfer?
That what the fission fragment rocket does. It uses the hot split atoms as reaction mass. The down side is that due to the low mass flow, the thrust is minuscule. But the up side is that the exhaust velocity is 5% the speed of light! 15,000,000 kilometers per second, that's like a bat out of hell. With that much exhaust velocity, you could actually have a rocket where less than 50% of the total mass is propellant (i.e., a mass ratio below 2.0).
Dr. Chapline's design use thin carbon filaments coated with fission fuel (coating is about 2 micrometers thick). The filaments radiated out from a central hub, looking like a fuzzy vinyl LP record. These revolving disks were spun at high speed through a reactor core, where atoms of nuclear fuel would undergo fission. The fission fragments would be directed by magnetic fields into an exhaust beam.
The drawback of this design is that too many of the fragments fail to escape the fuel coat (which adds no thrust but does heat up the coat) and too many hit the carbon filaments (which adds no thrust but does heat up the filaments). This is why the disks spin at high speed, otherwise they'd melt.
Fission-fragment propulsion as proposed by Dr. George Chapline. a fissionable filaments, b revolving disks, c reactor core, d fragments exhaust
Fission fragment concept as proposed by Dr. George Chapline. The reactor consists of thin carbon filaments coated with nuclear fuel rotated at high speed through the core. Courtesy of LLNL (1986)
Dusty Plasma
550AU
Thrust
22 N
Thrust Power
0.2 GW
Mass Flow
1.00e-06 kg/s
T/W
2.49e-04
Specific Power
55 kg/MW
0.5LY
Thrust
344 N
Thrust Power
2.6 GW
Mass Flow
2.30e-05 kg/s
T/W
4.00e-03
Specific Power
3 kg/MW
All
Exhaust Velocity
15,000,000 m/s
Specific Impulse
1,529,052 s
Total Engine Mass
9,000 kg
Fuel
Fission: Uranium 235
Reactor
Gas Core MHD Choke
Remass
Reaction Products
Remass Accel
Fission-Fragment
Thrust Director
Magnetic Nozzle
Rodney Clark and Robert Sheldon solve the problem with their Dusty plasma bed reactor (report).
You take the fission fuel and grind it into dust grains with an average size of 100 nanometers (that is, about 1/20th the thickness of the fuel coating in dr. Chapline's design). This does two things [A] most of the fragments escape and [B] the dust particles have such a high surface to volume ratio that heat (caused by fragments which fail to escape) readily dissipates, preventing the dust particles from melting.
The dust is suspended in the center of a reaction chamber whose walls are composed of a nuclear moderator. Power reactors will use beryllium oxide (BeO) as a moderator, but that is a bit massive for a spacecraft. The ship will probably use lithium hydride (LiH) for a moderator instead, since is only has one-quarter the mass. Probably about six metric tons worth. The dust is suspended electrostatically or magnetically by a containment field generator. The dust is heated up by radio frequency (RF) induction coils. The containment field generator will require superconductors, which will probably require a coolant system of its own.
The dust particles are slow and are relatively massive, while the fission fragments are fast and not very massive at all. So the magnetic field can be tailored so it holds the dust but allows the fission fragments to escape. Magnetic mirrors ensure that fragments headed the wrong way are re-directed to the exhaust port.
One valuable trick is that you can use the same unit for thrust or to generate electricity. Configure the magnetic field so that the fragments escape "downward" through the exhaust port and you have thrust. Flip a switch to change the magnetic field so that the fragments escape upward into deceleration and ion collection electrodes and you generate electricity. As a matter of fact, it is go efficient at generrating electricity that researchers are busy trying to adapt this for ground based power plants. But I digress.
The dust is only sufficient for a short period of critical nuclear reaction so it must be continuously replenished. The thermal energy released by fission events plus heat from collisions between fission fragments and dust grains create intense heat within the dust cloud. Since there is no core cooling flow, the reactor power is limited to the temperature at which the dust can radiatively cool itself without vaporizing. The interior of the reaction chamber walls will protected by a mirrored (95% reflection) heat shield attached to a heat radiator. The outer moderator layer will have its own heat shield.
Clark and Sheldon roughed out a propulsion system. It had six tons for the moderator, 2 tons for radiators and liquid metal cooling, 1 ton for
magnets, power recovery, and coils, for a grand total of 9 tons. The reaction chamber will be about 1 meter in diameter and 10 meters long. The moderator blanket around the chamber will be about 40 centimeters thick. The thrust is a function the size of the cloud of fissioning dust, and is directly related to the power level of the reactor. There is a limit to the maximum allowed power level, set by the coolant system of the reaction chamber. Clark and Sheldon estimate that only about 46% of the fission fragments provide thrust while the rest are wasted. See the report for details.
In the table, the 550AU engine is for a ten year journey to the Solar gravitational lensing point at 550 astronomical units (so you can use the sun as a giant telescope lens). The 0.5LY engine is for a thirty year trip to the Oort cloud of comets. These are constant acceleration brachistochrone trajectories, the 550AU mission will need a reactor power level of 350 MW and the 0.5LY mission will need 5.6 GW. Don't forget that the engine power is only 46% efficient, that's why the table thrust values are lower.
Dusty plasma bed reactor by Rodney Clark and Robert Sheldon
fission fragments ejected for propulsion
reactor
fission fragments decelerated for power generation
moderator (BeO or LiH)
containment field generator
RF induction coil
Dusty Plasma Terawatt Thruster patent card from the game High Frontier (Colonization Expansion).
Werka FFRE
First Generation
Exhaust Velocity
5,170,000 m/s
Specific Impulse
527,013 s
Thrust
43 N
Thrust Power
0.1 GW
Mass Flow
8.00e-06 kg/s
Total Engine Mass
113,400 kg
T/W
3.90e-05
Fuel
Fission: Plutonium 239
Reactor
Gas Core MHD Choke
Remass
Reaction Products
Remass Accel
Fission-Fragment
Thrust Director
Magnetic Nozzle
Specific Power
1,020 kg/MW
HOPE FFRE
Propulsion System
Werka FFRE
Wet Mass
303,000 kg
Dry Mass
295,000 kg
Mass Ratio
1.03 m/s
ΔV
138,336 m/s
Robert Werka has a more modest and realistic design for his fission fragment rocket engine (FFRE). He figures that a practical design will have an exhaust velocity of about 5,200,000 m/s instead of his estimated theoretical maximum of 15,000,000 m/s. His lower estimate is still around 1.7% the speed of light so we are still talking about sub 2.0 mass ratios. Collisions between fission fragments and the dust particles is responsible for the reduction in exhaust velocity.
Incidentally the near relativistic exhaust velocity reduces radioactive contamination of the solar system. The particles are traveling well above the solar escape velocity (actually they are even faster than the galactic escape velocity) so all the radioactive exhaust goes shooting out of the solar system at 0.017c.
The dusty fuel is nanometer sized particles of slightly critical plutonium carbide, suspended and contained in an electric field. A moderator of deuterated polyethylene reflects enough neutrons to keep the plutonium critical, while control rods adjust the reaction levels. The moderator is protected from reaction chamber heat by a heat shield, an inner layer composed of carbon-carbon to reflect infrared radiation back into the core. The heat shield coolant passes through a Braydon cycle power generator to create some electricty, then the coolant is sent to the heat radiator.
The details of Werka's initial generation FFRE can be found in the diagram below. The reaction chamber is about 5.4 meters in diameter by 2.8 meters long. The magnetic nozzle brings the length to 11.5 meters. The fuel is uranium dioxide dust which melts at 3000 K, allowing a reactor power of 1.0 GW. It consume about 29 grams of uranium dioxide dust per hour(not per second). Of the 1.0 GW of reactor power, about 0.7 GW of that is dumped as waste heat through the very large radiators required.
The second most massive component is the magnetic mirror at the "top" of the reaction chamber. Its purpose is to reflect the fission fragments going the wrong way so they turn around and travel out the exhaust nozzle. Surrounding the "sides" of the reaction chamber is the collimating magnet which directs any remaining wrong-way fragments towards the exhaust nozzle. The exhaust beam would cause near-instantaneous erosion of any material object (since it is electrically charged, relativistic, radioactive grit). It is kept in bounds and electrically neutralized by the magnetic nozzle cage.
The sail is made of graphite and carbon-carbon fiber, infused with a tiny amount of uranium. It is subjected to a misting of antiprotons. These induce uranium atoms to fission, with the recoil pushing the sail. Since this is nuclear powered, the sail does not have to be kilometers in diameter, five meters will do. 30 miligrams of antiprotons could push the sail to the Kuiper Belt.
Art: Hbar Technologies, LLC/Elizabeth Lagana
Antiproton Sail and Harvestor Freighter Fleet card from the game High Frontier (Colonization Expansion).
Orion AKA "old Boom-boom" is the ultimate consumable nuclear thermal rocket, based on the "firecracker under a tin can" principle. Except the tin can is a spacecraft and the firecracker is a nuclear warhead.
This concept has the spacecraft mounted with shock absorbers on an armored "pusher plate". A stream of small (5 to 15 kiloton) fission or fusion explosives are detonated under the plate to provide thrust. While you might find it difficult to believe that the spacecraft can survive this, you will admit that this will give lots of thrust to the spacecraft (or its fragments). On
the plus side, a pusher plate that can protect the spacecraft from the near detonation of nuclear explosives will also provide dandy protection from any incoming weapons fire. On the minus side I can hear the environmentalists howling already. It will quite thoroughly devastate the lift-off site, and give all the crew bad backs and fallen arches. And they had better have extra-strength brassieres and athletic supporters.
Mathematician Richard Courant viewed an Orion test and said "Zis is not nuts, zis is super-nuts."
This section is about the Orion propulsion system. If you want all the hot and juicy details about various versions of Orion spacecraft go here.
Please note that Orion drive is pretty close to being a torchship, and is not subject to the Every gram counts rule. It is probably the only torchship we have the technology to actually build today.
If you want the real inside details of the original Orion design, run, do not walk, and get a copies the following issues of of Aerospace Projects Review:
Volume 1, Number 4, Volume 1, Number 5, and Volume 2, Number 2. They have blueprints, tables, and lots of never before seen details.
If you want your data raw, piled high and dry, here is a copy of report GA-5009 vol III "Nuclear Pulse Space Vehicle Study - Conceptual Vehicle Design" by General Atomics (1964). Lots of charts, lots of graphs, some very useful diagrams, almost worth skimming through it just to admire the diagrams.
The sad little secret about Orion is that the mission it is best suited for is boosting heavy payloads into orbit. Which is exactly the mission that the enviromentalist and the nuclear test ban treaty will prevent. Orion has excellent thrust, which is what you need for lift-off and landing. Unfortunately its exhaust velocity is pretty average, which is what you need for efficient orbit-to-orbit maneuvers.
Having said that, there is another situation where high thrust is desirable: a warship jinking to make itself harder to be hit by enemy weapons fire. It is also interesting to note that the Orion propulsion system works very well with the bomb-pumped laser weapons system.
Each pulse unit is a tiny nuclear bomb, encased in a "radiation case" that has a hole in the top. A nuclear blasts is initially mostly x-rays. The radiation case is composed of a material that his opaque to x-rays (depleted uranium). The top hole thus "channels" the flood of x-rays in an upwards direction (at least in the few milliseconds before the bomb vaporizes the radiation case).
The channeled x-rays then strike the "channel filler" (beryllium oxide). The channel filler transforms the atomic fury of x-rays into an atomic fury of heat.
Lying on top of the channel filler is the disc of propellant (tungsten). The atomic fury of heat flashes the tungsten into a jet of ionized tungsten plasma, traveling at high velocity (in excess of 1.5 × 105 meters per second). This crashes into the pusher plate, accelerating the spacecraft. It crashes hard. You will note that there are two stages of shock absorbers between the pusher plate and the spacecraft, preventing instant crew death.
The ratio of beryllium oxide to tungsten is 4:1.
The jet is confined to a cone about 22.5 degrees (instead of in all directions). The detonation point is positioned such that the 22.5 cone exactly covers the diameter of the pusher plate. The idea is that the wider the area of the cone, the more spread out the impulse will be, and the larger the chance that the pusher plate will not be utterly destroyed by the impulse.
It is estimated that 85% of the energy of the nuclear explosion can be directed in the desired direction. The pulse units are popped off at a rate of about one per second. A 5 kiloton charge is about 1,152 kg. The pulses are so brief that there is no appreciable "neutron activation", that is, the neutron from the detonations do not transmute parts of the spacecraft's structure into radioactive elements. This means astronauts can exit the spacecraft and do maintenance work shortly after the pulse units stop detonating.
The device is basically a nuclear shaped charge. A pulse unit that was not a shaped charge would of course waste most of the energy of the explosion. Figure that 10% at best of the energy of a non-shaped-charge explosion would actually hit the pusher plate, what a waste of perfectly good plutonium.
Each charge accelerates the spacecraft by roughly 12 m/s. A 4,000 ton spacecraft would use 5 kiloton charges, and a 10,000 ton spacecraft would use 15 kiloton charges. For blast-off, smaller charges of 0.15 kt and 0.35 kt respectively would be used while within the Terra's atmosphere. The air between the charge and the pusher plate amplifies the impulse delivered (it is extra propellant), so if you are not in airless space you can get away with a smaller kt yield.
Even though only a fraction of the pulse unit's mass is officially tungsten propellant, you have to count the entire mass of the pulse unit when figuring the mass ratio. The mass of the Orion spacecraft with a full load of pulse units is the wet mass, and the mass with zero pulse units is the dry mass.
The thrust is not applied constantly, it is in the form of pulses separated by a fixed detonation interval. Generally the interval is from about half a second to 1.5 seconds. This means to figure the "effective" thrust you take the thrust-per-pulse-unit and divide it by the detonation interval in seconds. So if each pulse unit gives 2×106 Newtons, and they are detonated at 0.8 second intervals, the effective thrust is 2×106 / 0.8 = 2.5×106 Newtons
Obviously the converse is if you have the effective thrust, you multiply it by the detonation interval to find the thrust-per-pulse-unit. So if the effective thrust is 3.5×106 N and the units are detonated at 0.86 second intervals, the thrust-per-pulse-unit is 3.5×106 N * 0.86 = 3.01×106 Newtons
How much weapons-grade plutonium will each charge require? As with most details about nuclear explosives, specifics are hard to come by. According to GA-5009 vol III , pulse units with 2.0×106 newtons to 4.0×107 newtons all require approximately 2 kilograms per pulse unit, with 1964 technology. It goes on to say that advances in the state of the art could reduce the required amount of plutonium by a factor 2 to 4, especially for lower thrust units. 2.0×106 n is 1 kiloton, I'm not sure what 4.0×107 n corresponds to, from the document I'd estimate it was about 15 kt. Presumably the 2 kg plutonium lower limit is due to problems with making a critical mass, you need a minimum amount to make it explode at all.
According to Scott Lowther, the smallest pulse units were meant to propel a small ten-meter diameter Orion craft for the USAF and NASA. The units had a yield ranging from one-half to one kiloton. The USAF device was one kiloton, diameter 36 centimeters, mass of 86 kilograms, tungsten propellant mass of 34.3 kilograms, jet of tungsten plasma travels at 150,000 meters per second. One unit would deliver to the pusher plate a total impulse of 2,100,000 newton-seconds. Given the mass of the ten-meter Orion, detonating one pulse unit per second would give an acceleration well over one gee. According to my slide rule, this implies that the mass of the ten-meter Orion is a bit under 210 metric tons.
Pulse Unit
Yield
Mass
Dia.
Height
Propellant (percent)
Det. Interval
Propellant Velocity
Effective Exhaust Velocity (Isp)
Thrust per unit
Effective Thrust
NASA 10m Orion (vacuum)
141 kg
0.86 s
18,200 m/s (1,850 s)
3.0×106 N
3.5×106 N
USAF 10m Orion (vacuum)
1 kg
79 kg (86 kg?)
0.33 m
0.61 m
34.3 kg (40%)
1 s
1.5×105 m/s
25,800 m/s (2,630 s)
2.0×106 N
2.0×106 N
20m Orion (vacuum)
450 kg
0.87 s
30,900 m/s (3,150 s)
1.4×107 N
1.6×107 N
4000T Orion (atmo)
0.15 kt
1,152 kg
0.81 m
0.86 m
1.1 s
1.17×105 m/s
42,120 m/s (4,300 s)
8.8×107 N
8.0×107 N
4000T Orion (vacuum)
5 kt
1,152 kg
0.81 m
0.86 m
415 kg (36%)
1.1 s
1.17×105 m/s
42,120 m/s (4,300 s)
8.8×107 N
8.0×107 N
10,000T Orion (atmo)
0.35 kt
118,000 m/s (12,000 s)
4.0×108
10,000T Orion (vacuum)
15 kt
118,000 m/s (12,000 s)
4.0×108
20,000T Orion (vacuum)
29 kt
1,150 kg
0.8 m
Pulse Unit: The type of Orion spacecraft that uses this unit, and whether it is an atmospheric or vacuum type.
Yield: Nuclear explosive yield (kilotons)
Mass: Mass of the pulse unit
Dia.: Diameter of pulse unit
Height: Height of pulse unit
Propellant (percent): Mass of tungsten propellant in kilograms, as percentage of pulse unit mass in parenthesis.
Det. Interval: Time delay interval between pulse unit detonations.
Propellant Velocity: The velocity the tungsten propellant plasma travels at. Do not use this for delta V calculations.
Effective Exhaust Velocity (Isp): A value for exhaust velocity suitable for delta V calculations. Specific impulse in parenthesis.
Thrust per unit: Amount of thrust produced by detonating one pulse unit.
Effective Thrust: Thrust per second. Calculated by taking Thrust per unit and dividing by Det. Interval.
There are some interesting equations in GA-5009 vol III on pages 25 and 26 on the subject of nuclear pulse units. These were developed in the study for the 10 and 20 meter NASA Orion spacecraft, and they heavily rely upon a number of simplifying assumptions. These were for first generation pulse units, with the assumption that second generation units would have better performance. So take these with a grain of salt.
These equations are only considered valid over the range 3×106 < FE < 2×108
You are given the amount of thrust you want to get out of the propulsion system: FE and the detonation interval time Dp. From those you calculate the amount of thrust each pulse unit has to deliver Fp:
Y = size of nuclear yield in pulse unit (kilotons)
ME = mass of Orion propulsion module (kg)
g0 = acceleration due to gravity = 9.81 m/s2
x1/3 = cube root of x
The results are close but do not exactly match the values given in the document, but they are better than nothing
NASA 10-meter Orion
Given Effective Thrust
3.5×106 N
Given Detonation Delay
0.86 s
Parameter
Document Value
Equation Value
Specific Impulse
1,850 s
1,830 s
Yield
1 kt
0.4 kt
Propulsion module mass
90,946 kg
85,245 kg
NASA 20-meter Orion
Given Effective Thrust
1.6×107 N
Given Detonation Delay
0.87 s
Parameter
Document Value
Calculated Value
Specific Impulse
3,150 s
3,082 s
Yield
5 kt
3.1 kt
Propulsion module mass
358,000 kg
394,223 kg
For more in depth calculations of an Orion rocket's specific impulse, read page 1 and page 2. But be prepared for some heavy math.
Tungsten has an atomic number (Z) of 74. When the tungsten plate is vaporized, the resulting plasma jet has a relatively low velocity and diverges at a wide angle (22.5 degrees). Now, if you replace the tungsten with a material with a low Z, the plasma jet will instead have a high velocity at a narrow angle. The jet angle also grows narrower as the thickness of the plate is reduced. This makes it a poor propulsion system, but an effective weapon. Instead of a wall of gas hitting the pusher plate, it is more like a directed energy weapon. The military found this to be fascinating, who needs cannons when you can shoot spears of pure nuclear flame? The process was examined in a Strategic Defense Initiative project called "Casaba-Howitzer", which apparently is still classified. Which is not surprising but frustrating if one is trying to write a science fiction novel or spacecraft combat game.
NASA has been quietly re-examining ORION, under the new name of "External Pulsed Plasma Propulsion". As George Dyson observed, the new name removes most references to "Nuclear", and all references to "Bombs."
For details about spacecraft using Orion propulsion, go here.
Oh, and another thing. ORION is fantastic for boosting unreasonably huge payloads into orbit and it is pretty great for orbit to orbit propulsion. But trying to use it to land is not a very good idea. At least not on a planet with an atmosphere.
Project Orion
Project Orion
Exhaust Velocity
19,620 m/s
Specific Impulse
2,000 s
Thrust
2,215,200 N
Thrust Power
21.7 GW
Mass Flow
113 kg/s
Total Engine Mass
203,680 kg
T/W
1
Frozen Flow eff.
39%
Thermal eff.
99%
Total eff.
39%
Fuel
Fission: Curium 245
Reactor
Pulse Unit
Remass
Water
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Pusher Plate
Specific Power
9 kg/MW
This fabled technology converts the impulses of small nuclear detonations into thrust.
The small shaped-charge bombs each have a mass of 230 kg (including propellant) and a yield of a quarter kiloton (1 terajoule). The fissile material is curium 245, with a critical mass of 4 kg, surrounded by a beryllium reflector. The soft X-rays, UV and plasma from the external detonation vaporize and compress the propellant to a gram per liter, highly opaque to the bomb energies at the temperatures attained (67000 K).
The propellant, a mixture of water, nitrogen, and hydrogen, interfaces with a pusher plate “nozzle”, which can be either solid or magnetic.
Shown is a solid plate, which tapers to the edges (to maintain a constant net velocity of the plate given a greater momentum transfer in the center). Pressure on the plate reaches 690 MPa in the center. The impulse shock is absorbed by a set of pneumatic “tires”, followed by gas-filled pistons detuned to the 56 Hz detonation frequency.
The shock plate system becomes a useful shield if pointed towards the enemy.
The amount of blast energy utilized for thrust is 7%, and the amount of pulse mass that intercepts the plate is 39%. A 56 TWth design optimized for 1TJ bombs achieves a specific impulse of 2 ksec and a thrust of 2.2 MN.
Ted Taylor’s classic design, optimized for low yield bombs and 2 ksec specific impulse: “Project Orion”, George Dyson, Henry Holt and Company, 2002.
Interesting e-mail conversation I had with Rhys Taylor on the topic of Entry-Descent-Landing (EDL) as relevant to nuclear pulse propulsion.
I was aware one of the concepts that came out of the 1958 Project Orion involved landing a surface installation and a 100 man crew on the surface of Mars. Two of the early large Orion's would be involved. One would enter a low Mars orbit and completely cancel its orbital velocity while well above the sensible Martian atmosphere. The crew would ride down in a number of smaller landing craft with individual return stages. A large section of the vehicle, the base structure carrying a cargo of surface rovers, scientific gear, and consumables, would separate from the Orion propulsion module and descend propulsively on rockets without undergoing meteoric entry. The propulsion module would be allowed to crash on the surface (presumably this would entail transferring any remaining pulse units to the second Orion remaining in orbit before cancelling its orbital velocity — so only the absolute minimum required number of pulse units would remain to be expended before its uncontrolled descent and crash landing).
My interest was in regards to soft landing an Orion intact after a controlled descent, and I was unsure of how deep into the atmosphere the nuclear pulse propulsion system could be fired, if it could be fired in descent mode, or if this was even advisable.
Rhys was kind enough to advise me on these particular points, which to sum up are:
Orion is capable of completely cancelling its orbital velocity.
Descent would be a matter of managing the free-fall velocity of the vehicle.
Inside the atmosphere the pulse unit will generate a many-thousands degree fireball, this is not a problem during launch, or in the vacuum of space, but during descent flying into the fireball would not be a good thing for vehicle and crew.
There is some point at very high altitude where you would have to trade off from nuclear pulse propulsion to rocket powered descent.
The input Rhys provided went toward this spacecraft designed for my Orion's Arm future history, and will be applied to several related spacecraft to be posted in the near future.
Artwork by Master Artist William Black. Click for larger image
The letter that terminated Project Orion
Orion Environmental Impact
Naturally, some people freak out when you tell them about a rocket that rises into orbit by detonating Two! Hundred! Atom! Bombs!. But it actually isn't quite as bad as it sounds.
First off, these are teeny-tiny atom bombs, honest. The nuclear pulse units used in space will be about one kiloton each, while the Nagasaki device was more like 20 kt. And in any event, the nuclear pulse units used in the atmosphere are only 0.15 kt ( about 1/130th the size of the Nagasaki device). This is because the atmosphere converts the explosion x-rays into "blast", increasing the effectiveness of the pulse unit so you can lower the kilotonnage.
So we are not talking about zillions of 25 megaton city-killer nukes scorching the planet and causing nuclear winter.
Some environmentalists howl that Orion should never be used for surface-to-orbit boosts, due to the danger of DUNT-dunt-Dunnnnnnnn Deadly Radioactive Fallout. However, there is a recent report that suggests ways of minimizing the fallout from an ORION doing a ground lift-off (or a, wait for it, "blast-off" {rimshot}). Apparently if the launch pad is a large piece of armor plate with a coating of graphite there is little or no fallout.
By which they mean, little or no ground dirt irradiated by neutrons and transformed into deadly fallout and spread the the four winds.
There is another problem, though, ironically because the pulse units use small low-yield nuclear devices.
Large devices can be made very efficient, pretty much 100% of the uranium or plutonium is consumed in the nuclear reaction. It is much more difficult with low-yield devices, especially sub-kiloton devices. Some of the plutonium is not consumed, it is merely vaporized and sprayed into the atmosphere. Fallout, in other words. You will need to develop low-yield devices with 100% plutonium burn-up, or use fusion devices (with 100% burn-up fission triggers or with laser inertial confinement fusion triggers).
The alternative is boosting the Orion about 90 kilometers up using a non-fallout chemical rocket. Which more or less defeats the purpose of using an Orion engine in the first place. Remember that Orions are best at boosting massive payloads into orbit.
Most of the fallout will fall within 80 kilometers of the launch site. You can also reduce the fallout by a factor of 10 if you launch from near the Magnetic Pole.
When fissionables like plutonium undergo fission, their atoms are split which produces atomic energy. The split atoms are called fission fragments.
The good news is that they have very short half-lives, e.g., in 50 days pretty much all of the Strontium 94 has decayed away (because 50 days is 58,000 St94 half-lives).
The bad news is that they have very short half-lives, this means they are hideously radioactive. Radioactive elements decay by emitting radiation, shorter half-life means more decays per second means a higher dose of radiation per second.
The fragments that come screaming out of the detonation aimed at the sky are no problem. They are moving several times faster than Terra's escape velocity, you will never see them again (Terra's escape velocity is 11.2 km/s, the fragments are travelling like a bat out of hell at 2,000 km/s). The ones aimed towards Terra are a problem. The fragments can be reduced by using fusion instead of fission pulse units. The fragments can also be reduced by designing the pulse units to trade thrust in favor of directing more of the fragments skyward.
A more sophisticated objection to using Orion inside an atmosphere is the sci-fi horror of EMP melting all our computers, making our smart phones explode, and otherwise ruining anything using electricity. But that actually is not much of a problem. EMP is not a concern unless the detonation is larger than one megaton or so, Orion propulsion charges are only a few kilotons (one one-thousandth of a megaton). Ben Pearson did an analysis and concluded that Orion charges would only have EMP effects within a radius of 276 kilometers (the International Space Station has an orbital height of about 370 kilometers). So just be sure your launch site is in a remote location, which you probably would have done anyway.
Naturally watching an Orion blast-off is very bad for your eyes, defined as instant permanent blindness. This is called "eyeburn". While the Orion is below 30 km you definitely need protective goggles or you might be blinded. Above 90 km your eyesight it safe. In between 30 and 90 is the gray area, where prudent people keep their protective goggles on.
Artificial Radiation Belt Lifetime From Aerospace Projects Review Volume 1, Number 4
Artificial Radiation Belt Do not launch Orion from anywhere within the "Trapping Region" From Aerospace Projects Review Volume 1, Number 4
Detonating pulse units in space near Terra can create nasty artificial radiation belts. The explosion can pump electrons into the magnetosphere, creating the belt.
There are two factors: detonation altitude from Terra's surface, and magnetic latitude in Terra's magnetic field. If the detonation is within 6,700 kilometers of Terra's surface (i.e., further than 2 Terran radii from Terra's center) and at a magnetic latitude from 0° to 40°, the radiation belt can last for years. Above 2 Terran radii the radiation belt will last for only weeks, and from latitude 80° to 90°, the radiation belt will last for only a few minutes.
The military discovered this the hard way with the Starfish Prime nuclear test. The instant auroras were very pretty. The instant EMP was very scary, larger than expected (but the test was using a 1.4 megaton nuke, not a 0.001 megaton pulse unit). The artificial radiation belt that showed up a few days later was a very rude surprise. About one-third of all low orbiting satellites were eventually destroyed by the radiation belt.
The radiation belts are harmless to people on Terra, but astronauts in orbit and satellites are at risk.
Pulse unit failure modes From Aerospace Projects Review Volume 1, Number 4
There are three classes of pulse unit failure modes. Note that in this analysis the USAF had given up and had decided to boost the Orion on top of a chemical rocket.
Class I - Pad Abort
Typically occurs when the chemical booster burns or explodes on the pad. There will be no nuclear explosion. The pulse units contain chemical explosives, but there is much more explosive potential in the chemical booster fuel. Even if all the pulse units exploded simultaneously there would only be a 1 psi overpressure out to 300 meters and shrapnel hazard out to 2,000 meters.
A chemical booster burn could aerosolize radioactive plutonium from booster units and create a downrange fallout hazard. The solution is to put the launch pad over a pool of water about 10 meters deep. In event of fire, collapse the pad into the pool. The fire would be extinguished and any escaped plutonium will be contained in the water. Many of the pulse units can be recovered and reused.
Class II - Failure to Orbit
The trouble is that the thousands of nuclear pulse units will fall down, probably into uncontrolled territory. As with Class I there will be no nuclear explosion, the chemical explosion will be impressive but not too huge, and there is a danger of radioactive fallout. All in what could very well be a foreign country.
In addition, it will be scattering thousands of containers of weapons grade plutonium in convenient form to cause nuclear weapon proliferation. Or the pulse units could be used as is as impromptu terrorist devices. Though I'm sure the devices will contain fail-safes seven ways to Sunday, the same way nuclear warheads are in order to deal with the possibility of them falling into the Wrong Hands.
Probably the best solution is to command all of the nuclear charges to detonate simultaneously while the spacecraft is at high altitude. This will make one heck of a fireworks display, and may cause an EMP, but nuclear devices in questionable hands is to be avoided at all costs.
Class III - Misfire
If a given pulse unit fails to detonate, the command can be resent repeatably, and/or there can be an automatic on-board destruct system. Otherwise the unit could survive reentry (due to the tungsten propellant plate) causing some damage to the country it hit and causing a foreign policy nightmare to the nation owning the Orion spacecraft.
By about 1963 General Atomic had given up on designing an Orion to lift off from Terra's surface under nuclear power. They put together three plans for using chemical rocket boosters to get the Orion into orbit. Again this is throwing away the big advantage of the Orion, its ability to boost massive payloads.
Mode I
A fully loaded and fully fueled Orion is boosted to an altitude of 90 kilometers and 900 m/s by a chemical rocket. There it stages, and the Orion proceeds into orbit or into mission trajectory under nuclear power. The disadvantage is it requires a subobital start-up of the Orion engine. The Orion engine will need a thrust greater than the mass of the spacecraft, the standard was T/W of 1.25. But high thrust is never a problem with Orion.
Mode II
An empty Orion is loaded with just enough pulse units. It is boosted to an altitude of 90 kilometers and 900 m/s by a chemical rocket. There it stages, and the Orion proceeds into orbit. A second chemical booster rendezvous with the Orion to deliver the payload and a full load of pulse units. This was the worst plan. It combines the disadvantage of Mode I (by requiring suborbital start-up of the Orion engine) with the disadvantage of Mode III (by requiring orbital assembly).
Mode III
The Orion is boosted into orbit piecemeal as payload on a series of chemical boosters. The Orion is assembled in orbit, then departs on its mission under nuclear power. The main advantage is it avoids the possibility of the entire Orion spacecraft crashing to Terra in the event of a propulsion failure. The second advantage is it allowed a lower thrust Orion unit to be used, but with Orion thrust is never a problem. The main disadvantage is that orbital assembly is time consuming and difficult.
Zeta-Pinch
Zeta pinch is a type of plasma confinement system that uses an electrical current in the plasma to generate a magnetic field that compresses it. The compression is due to the Lorentz force.
The Mini-MagOrion is a sort of micro-fission Orion propulsion system. The idea was to make an Orion with weaker (and more reasonably sized) explosive pulses, using pulse charges that were not self contained (the full Orion pulse units were nothing less than nuclear bombs). Subcritical hollow spheres of curium-245 are compressed by a Z-pinch magnetic field until they explode. The sacrificial Z-pinch coil in each pulse charge is energized by an a huge external capacitor bank mounted in the spacecraft. So the pulse units are not bombs.
The explosion is caught by a superconducting magnetic nozzle.
Electrodynamic zeta-pinch
compression can be used to generate critical mass atomic bombs
at very low yields. These detonations can be used to generate
impulsive power or thrust.
Exotic fission material (245Cm) is utilized
to reduce the required compression ratio. The explosion of each
low yield (335 GJ) atomic bomb energizes and vaporizes a set of
low mass transmission lines, used to pump either another high
current Z-pinch, or a bank of nanotube-enhanced ultracapacitors.
Each bomb uses 40 grams of Cm fissile material and 60 grams of Be reflector material,
with an aspect ratio of 5. A DT diode is used as a neutron emitter. The mylar transmission
lines have a mass of 15 kg, and are replaced after each shot.
The design illustrated
is rated for a shot every 5.5 minutes, equivalent an output of 1000 MWth. If utilized for
thrust, this provides 7.7 kN at a specific impulse of 17 ksec.
Ralph Ewig & Dana Andrews,
“Mini-MagOrion Micro Fission Powered Orion Rocket”, Andrews Space & Technology, 2002.
The minimum explosive yield for
fission bombs is about a quarter kiloton. Thus, rockets that fly
using atomic explosions, such as Project Orion, require huge
shock absorbers.
The pulse energy can be brought down to
microfission levels by the use of exotic particles. A n-6Li
microfission thruster brings the lithium isotope 6Li to spontaneous
microfission by interaction with particles with very large
reaction cross sections such as ultracold neutrons. No “critical
mass” is required. This clean reaction produces only charged
particles (T and He), each at about 2 MeV.
The system illustrated uses a 5-meter
magnetic nozzle to transfer the microexplosion energy to the vehicle. This
magnetic impulse transfer is borrowed from the MagOrion concept (combination
of Orion and the magnetic sail).
A fuel reaction rate of 60 mg/sec yields 3720
MWth. At a pulse repetition rate of one 224 GJ (0.05 kT) detonation each
minute, the thrust is 12.8 kN at a 12 ksec specific impulse. A hydraulic fixture
oscillates at a tuned frequency to provide a constant acceleration to the
spacecraft. The combined frozen-flow and nozzle efficiencies are 21%, and the
thermal efficiency is 96%.
Ralph Ewig’s “Mini-magOrion” concept, modified for n-6Li fission,
http://www.andrews-space.com/images/videos/PAPERS/Pub-MMOJPLTalk.pdf
Neutrons are normally unstable
particles, with a half life of 12 minutes.
When polarized and
ultra-cooled (using vibrators or turbines), they form a dineutron or
tetraneutron phase. These “molecules” are believed to be stable
and storable in total internal reflection bottles, lined with
diamond-like carbon as the neutron reflector.
Ultracold neutrons
(UCN) have a huge quantum mechanical wavelength as a
consequence of their slow movement (typically 0.4 μm @ 1 m/sec),
and thus can spontaneously initiate fission reactions such as
n-235U or n-6Li.
If the neutron source is a nuclear reactor, the
neutrons must be cooled from 2 MeV to 2 meV using a heavy
water moderator, and then in a UCN turbine to 0.2 IeV.
Robert L. Forward, “Alternate Propulsion Energy Sources”, 1983.
Medusa is driven by the detonation of nuclear charges like Orion, except the charges are set off in front of the spacecraft instead of behind. The spacecraft trails behind a monstrously huge parachute shaped sail (about 500 meters). The sail intercepts the energy from the explosion. Medusa performs better than the classical Orion design because its pusher plate intercepts more of the bomb's blast, its shock-absorber stroke is much longer, and all its major structures are in tension and hence can be quite lightweight. It also scales down better. The nuclear charges will be from 0.025 kilotons to 2.5 kilotons.
The complicated stroke cycle is to smooth out the impulses from each blast, transforming it from a neck-braking jerk into a prolonged smooth acceleration.
Jondale Solem calculates that the specific impulse is a function of the mass and yield of the nuclear charges, while the thrust is a function of the yield and explosion repetition rate. In this case, the mass of the nuclear charge is the mass of "propellant".
Remarkably the mass of the spinnaker (sail) is independent of the size of its canopy or the number or length of its tethers. This means the canopy can be made very large (so the bomb blast radiation does not harm the canopy) and the tethers can be made very long (so the bomb blast radiation does not harm the crew). The mass of the spinnaker is directly proportional to the bomb yield and inversely proportional to the number of tethers.
the payload capsule
the winch mechanism
the main tether cable
riser tethers
the parachute mechanism
Starting at moment of bomb / pulse unit firing
As the bomb's explosion pulse reaches the parachute canopy
Pushes the canopy, accelerating it away from the bomb explosion as the spacecraft plays out the main tether with the winch, braking as it extends, starting to accelerate the spacecraft
And finally winches the tether back in.
Solem Medusa Tugged Orion Terawatt Thruster patent card from the game High Frontier (Colonization Expansion).
A pellet of fusion fuel is bombarded on all sides by strong pulses from laser or particle accelerators. The inertia of the fuel holds it together long enough for most of it to undergo fusion.
A “target” of fusion fuel can be brought to ignition by “inertial confinement”: the process of compressing and heating the fuel with beamed energy arriving from all sides. A snowflake of deuterium, the “heavy” isotope of hydrogen, can be imploded and fused with a combination of lasers and deuterium particle beams.
The illustrated design uses combined input beam energy of 38 megajoules, arrayed in a ring surrounding the ejected iceball target. This energy operates at 1 Hz to blast a 2 gram ice pellet ejected each second. The outside 99% of the pellet is ablated away within 10 ns, super-compressing the deuterium fuel at the core to a density of a kilogram per cubic centimeter. The T and 3He products are catalyzed to undergo further fusion until all that remains is hydrogen, helium and some neutrons. (Neutrons comprise 36% of the reaction energy.) Fractional burn-up of the fuel (30%) is twice that of magnetic confinement systems, which implies a 40% higher fuel economy. The energy gain factor (Q) is 53.
For a 500 MWth reactor, 320 MW of charged particles are produced, which can be used directly for thrust or metals refining. About 105 MW of fast neutrons escape to space, but another 75 MW of them are intercepted by the structure. About two thirds of this energy must be rejected as waste heat, but the remainder is thermally used to generate electricity or to breed tritium to be added to the fuel to facilitate the cat D-D pellet ignition.
When used as a rocket, an ablative nozzle, made of nested layers of whisker graphite whose mass counts as propellant and shadow shield, is employed (much like the ACMF).
“A Laser Fusion Rocket for Interplanetary Propulsion,” Hyde, R., 34th International Astronautical Conf., AIF Paper 83-396, Budapest, Hungary, Oct. 1983.
(To keep radiator mass under control, I reduced the pellet repetition rate from 100 Hz to 1 Hz).
D-T VISTA Inertial Fusion Gigawatt Thruster patent card from the game High Frontier (Colonization expansion).
Magneto Inertial Fusion
Magneto Inertial Fusion
Both
Exhaust Velocity
50,420 m/s
Specific Impulse
5,140 s
Fuel
Deuterium-Deuterium Fusion
Reactor
Magneto-Inertial Confinement
Remass
Lithium
Remass Accel
Thermal Accel: Reaction Heat
Low Gear
Thrust
103 N
Thrust Power
2.6 MW
Mass Flow
2.00e-03 kg/s
Delay between Fusion Pulses
180 seconds
High Gear
Thrust
13,800 N
Thrust Power
0.3 GW
Mass Flow
0.27 kg/s
Delay between Fusion Pulses
14 seconds
There are two main approaches to utilizing nuclear fusion, magnetic confinement and inertial confinement. Magnetic confinement uses titanic magnetic fields, inertial confinement is how fusion bombs explode (a third way would be stars shining by gravitational confinement, but we don't know how to generate artificial gravitational fields). As propulsion systems, both have major drawbacks.
Magnetic confinement requires huge (read: massive) electromagnets. The technique also has the problem of plasma instabilities (read: fusion plasma has thousands of different ways to wiggle out of the magnetic cage) which so far have defied any solution.
Inertial confinement works well in bombs, but trying to do it in a small controlled fashion (read: so the fusion reaction does not vaporize everything in a one kilometer radius) has also defied any solution. The compressing laser or particle beams have such low efficiencies that tons of excess power is required. Timing all the beams so they strike at the same instant is a challenge. Also, there is nothing in between the fusion reaction and the chamber walls, leading to severe damage to the walls.
Both approaches have a problem with getting the fusion reaction energy to heat the propellant. Magnetic confinement tries to use the actual fusion plasma as propellant, resulting in a ridiculously small mass flow and thus a tiny thrust.
Dr. John Slough and his associates have come up with a new technique that sort of combines the two conventional approaches: magneto inertial fusion (MIF). You can find their published papers on the subject here
A blob of FRC (field reversed configuration) plasma is created and injected axially into the chamber.
Simultaneously injected into the chamber is a "liner". The liner is a foil ring composed of lithium, about 0.2 meters in radius. Each liner will have a mass of 0.28 kg (minimum) to 0.41 kg.
As the liner travels axially down the chamber, electromagnets crush it down into a solid cylinder (the crush speed is about 3 kilometers per second, the cylinder will have a radius of 5 centimeters). This is timed so that the plasma blob (plasmoid) is in the center of the cylinder. The liner compresses the plasmoid and ignites the fusion reaction.
The lithium stands in between the reaction and the chamber walls, protecting the walls. It also absorbs much of the radiation, protecting the crew. The lithium is also the propellant. Since it is tightly wrapped around the reaction, it is very efficient at getting the fusion reaction energy to heat the propellant. The ionized lithium (plus the burnt fusion fuel) exits through a magnetic nozzle, providing thrust.
Since this is an open-cycle system, the exhaust acts as the heat radiator, so the spacecraft can get by with only a tiny radiator. The energy to run the magnets can be supplied by solar cell arrays. Since the compression is so efficient, this will work with several types of fusion fuel: D-T, D-D, and D-3He. D-D is probably preferred, since tritium is radioactive with a short half-life, and 3He is rare.
Please note that if you replace the magnetic nozzle with a magnetohydrodynamic (MHD) generator, the propulsion system is transformed into an electrical power generator. This could be used for ground based fusion power generators.
Dr. Slough et al worked up two spacecraft for a Mars mission. The first was optimized to have a high payload mass fraction. The second was optimized to have the fastest transit time. Both were capable of a direct abort and return. The "Low Gear" engine is the study author's opinion of an engine easily achievable with current technology (that is, achievable fusion yields). The "High Gear" engine is a bit more speculative, but requiring only modest incremental improvements in technology.
Fusion Drive Rockets (FDR)
High Mass Fraction
Engine
Low Gear
Transit Time
90 days
Initial Mass
90 mT
Payload Mass Fraction
65%
Specific Mass
4.3 kg/kW
Shortest Transit Time
Engine
High Gear
Transit Time
30 days
Initial Mass
153 mT
Payload Mass Fraction
36%
Specific Mass
0.38 kg/kW
Antimatter Bottle
Antimatter Bottle
Antimatter Bottle
Exhaust Velocity
78,480 m/s
Specific Impulse
8,000 s
Thrust
34,700 N
Thrust Power
1.4 GW
Mass Flow
0.44 kg/s
Total Engine Mass
180,000 kg
T/W
0.02
Frozen Flow eff.
80%
Thermal eff.
85%
Total eff.
68%
Fuel
Antimatter: antiprotons
Reactor
Antimatter Catalyzed
Remass
Lead
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Magnetic Nozzle
Specific Power
132 kg/MW
Antimatter fuel can be stored as levitated antihydrogen ice.
By illuminating it with UV to drive off the positrons, a bit is electromagnetically extracted
and sent to a magnetic bottle.
There it is collided with 60 g of heavy metal propellant (9 × 1024 atoms of lead or depleted uranium). Each antiproton annihilates a proton or
neutron in the nucleus of a heavy atom. The use of heavy metals helps to suppress
neutral pion and gamma ray production by reabsorption within the fissioning nucleus. If regolith is used instead of a heavy metal, the gamma flux is trebled requiring far more
cooling.
A pulse of 5 μg of fuel (3 × 1018 antiprotons) contains 900 MJ of energy, and at
a repetition rate of 0.8 Hz, a power level of 700 MWth is attained.
Compared to fusion,
antimatter rockets need higher magnetic field strengths: 16 Tesla in the bottle and 50 Tesla in the
throat. After 7 ms, this field is relaxed to allow the plasma to escape at 6 keV and 350 atm.
These high temperatures and pressures cause higher bremsstrahlung X-ray losses than fusion reactors.
Furthermore, the antiproton reaction products are short-lived charged pions and muons, that must
be exhausted quickly to prevent an increasing amount of reaction power lost to neutrinos. About a
third of the reaction energy is X-rays and neutrons stopped as heat in the shields (partly recoverable
in a Brayton cycle), another third escapes as neutrinos. Only the final third is charged fragments
directly converted to thrust or electricity in a MHD nozzle.
D.L. Morgan, “Concepts for the Design of an
Antimatter Annihilation Rocket,” J. British Interplanetary Soc. 35, 1982. (For use in this game, to keep the radiator mass
within reasonable bounds, I reduced the pulse rate from 60 Hz to 0.8 Hz.)
Robert L. Forward, “Antiproton Annihilation
Propulsion”, University of Dayton, 1985.
Nuclear fission pulse drives like Orion scale up well, since it is relatively easy to design a bigger bomb than the last one. However, physics seem to prevent the creation of a nuclear device with a yield smaller than about 1/100 kiloton (10 tons, 42 GJ) and a fissionable material mass under 25 kilograms. This is due to critical mass restraints.
However, if a tiny sub-critical bit of fissionable material is bombarded by a few antiprotons, it will indeed create a tiny nuclear explosion. The antiprotons annihilate protons in uranium atoms, the energy release splits the atoms, creating a shower of neutrons, and a normal chain reaction ensues. Using antiprotons, yields smaller than 1/100 kiloton can be achieved. This can be used to create Antimatter catalyzed nuclear pulse propulsion
AIM
AIM
Exhaust Velocity
598,000 m/s
Specific Impulse
60,958 s
Thrust
55 N
Thrust Power
16.4 MW
Mass Flow
1.00e-04 kg/s
Fuel
Helium3-Deuterium Fusion
Reactor
Antimatter Catalyzed
Remass
Reaction Products
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Magnetic Nozzle
Antiproton-initiated Microfusion. Inertial Confinement Fusion. See here.
ACMF
ICAN-II
Propulsion System
ACMF
Exhaust Velocity
132,435 m/s
Specific Impulse
13,500 s
Thrust
180,000 N
Thrust Power
11.9 GW
Mass Flow
1 kg/s
Total Engine Mass
27,000 kg
T/W
0.68
Fuel
Fission: Uranium 235
Reactor
Antimatter Catalyzed
Remass
Silicon Carbide
Remass Accel
Thermal Accel: Reaction Heat
Thrust Director
Ablative Nozzle
Wet Mass
707,000 kg
Dry Mass
345,000 kg
Mass Ratio
2.05 m/s
ΔV
95,020 m/s
Specific Power
2 kg/MW
Antiproton-catalyzed microfission, inertial confinement fission. See here.
Fuel pellets have 3.0 grams of nuclear fuel (molar ratio of 9:1 of Deuterium:Uranium 235) coated with a spherical shell of 200 grams of lead. The lead shell is to convert the high energy radiation into a form more suited to be absorbed by the propellant. Each pellet produces 302 gigajoules of energy (about 72 tons of TNT) and are fired off at a rate of 1 Hz (one per second). The pellet explodes when it is struck by a beam containing about 1×1011 antiprotons.
A sector of a spherical shell of 4 meters radius is centered on the pellet detonation point. The shell is the solid propellant, silicon carbide (SiC), ablative propellant. The missing part of the shell constitutes the exhaust nozzle. Each fuel pellet detonation vaporizes 0.8 kilograms of propellant from the interior of the shell, which shoots out the exhaust port at 132,000 meters per second. This produces a thrust of 106,000 newtons.
The Penn State ICAN-II spacecraft was to have an ACMF engine, a delta-V capacity of 100,000 m/s, and a dry mass of 345 metric tons. The delta-V and exhaust velocity implied a mass ratio of 2.05. The dry mass and the mass ratio implied that the silicon carbide propellant shell has a mass of 362 metric tons. The wet mass and the thrust implied an acceleration of 0.15 m/s2 or about 0.015g. It can boost to a velocity of 25 km/sec in about three days. At 0.8 kilograms propellant ablated per fuel pellet, it would require about 453,000 pellets to ablat the entire propellant shell.
It carries 65 nanograms of antiprotons in the storage ring. At about 7×1014 antiprotons per nanogram, and 1×1011 antiprotons needed to ignite one fuel pellet, that's enough to ignite about 453,000 fuel pellets.
The fusion of hydrogen and boron 11 is a clean reaction, releasing only 300 keV alpha particles, which can be magnetically directed. However, the H-B fusion will not proceed at temperatures less than 300 keV unless catalyzed using exotic particles.
One possibility: replace the electrons in H-B atoms with stable massive leptons such as magnetic monopoles or fractionally-charged particles (the existence of these is hypothetical). The resulting exotic atoms can fuse at “cold” temperatures, allowing the exotic catalysts to be recycled.
A second possibility is to use antiproton-catalyzed microfission to initiate the H-B fusion. If a hundred billion antiprotons at 1.2 MeV in a 2 nsec pulse are shot at a target of three grams of HB: 235U in a 9:1 molar ratio, the uranium microfission initiates H-B and releases 20 GJ of energy. Operating at a fifth of a hertz, hydrogen and boron 11 reacting at a rate of 145 mg/shot produces 2000 MWth. A shell of 200g of lead about the target thermalizes the plasma from 35 keV average to 1 keV, low enough that this radiation can be optimally transferred to thrust using a magnetic or ablative nozzle at 73% efficiency. The ejected mass per shot is 2.4 kg. The exotic catalysts are recycled. Catalyzed fusion enjoys an excellent thermal efficiency (86%) and thus a good thrust/weight ratio (3.2 milli-g), making it one of the best engines in the game. The specific impulse ranges between 8 and 16 ksec, depending whether spin-polarized free radicals are used as the hydrogen fuel.
“Antiproton-Catalyzed Microfission/Fusion Propulsion Systems for Exploration of the Outer Solar System and Beyond”, G. Gaidos, et al., Pennsylvania State University, 1998.
(I used the ICAN-II spacecraft design, modified from cat D-T to cat H-B fuel, and scaled way down from 1 Hz to 0.2 Hz, and 302 GW to 2 GW.)
The solar wind dynamic pressure is about 2 nPa at one AU. An
electric sail generates nanothrust from this particle stream in a manner similar
to a mag sail, except that electric rather than magnetic fields are used.
Its
geometry employs hundreds of long thin conducting wires, rotating with a
period of 20 minutes to keep them in positive tension.
A solar-powered
electron gun (typical power is a few hundred watts) keeps the spacecraft and
sail in a high positive potential (up to 20 kV). This electric field surrounds each
wire a few tens of meters into the surrounding solar wind plasma. Therefore the
solar wind protons "see" the positively-charged wires as rather thick obstacles.
It is this multiplication factor that allows sails using the solar wind to outperform
those using photon pressure, which is 5000 times stronger.
Furthermore, the
electric sail thrust force varies as (1/r){7/6} from Sol, compared to the photon
pressure, which varies as the inverse square distance.
Each 100 km tether,
massing but a kilogram, generates 0.01 N of thrust. Simultaneously it also attracts
electrons from the solar wind plasma, which are neutralized by the electron gun.
Potentiometers between each tether and the spacecraft control the attitude by
fine-tuning the tether potentials. Additionally, the thrust may be turned off by simply
switching off the electron gun.
Each 20 μm tether is redundantly interlinked for
robustness against meteoroids.
Electric sails must avoid magnetospheres, since there is
no solar wind inside these zones.
Pekka Janhunen, “Electric Sail”, 2004. P. Janhunen and A.
Sandroos,“Simulation study of solar wind push on a charged wire” 2007.
At 1 AU, the solar wind comprises several million
protons per cubic meter, spiraling away from the sun at 400 to 600
km/sec (256 μwatts/m2). When such charged particles move
through a magnetic field formed by the mag sail, a tremendous loop
of wire some 2 km across, they are deflected.
An unloaded mag sail
this size has a thrust of 100 N (at 1 AU) and a mass of 20 tonnes. The
wire is superconducting whisker, at 10 kg/km, connected to a central
bus and payload via shroud lines. The loop requires multi-layer
insulation and reflective coatings to maintain its superconducting
temperature of 77 K. Because the sail area is a massless magnetic
field, a mag sail has a superior thrust/weight ratio than photon sails.
Just as with photon sails, lateral motion is possible by orienting the
sail at an angle to the thrusting medium. A mag sail also develops
thrust from planetary and solar magnetospheres, which decrease as the fourth
power of the distance from the magnetosphere source. Field strength is typically
10 μT in Earth’s magnetosphere, or less in the solar magnetosphere.
The mag
sail illustrated is augmented by a spinning disk photon sail attached to its staying
lines. It is maneuvered using photonic laser thrusters (propellantless thrust
derived from the bouncing of laser photons between two mirrors).
The installation is called a High Power Platform (HPP). The HPP does not have much range, so the spacecraft will require a second HPP at the destination in order to slow down. For a Mars mission the HPP fires for about four hours before the spacecraft is out of range. By that time the spacecraft is travelling at about 20,000 m/s, which is fast enough to get to Mars in 50 days flat. The range is about 1×107 meters (ten thousand kilometers).
After boosting a spacecraft, the HPP rotates the MagBeam in the opposite direction and uses it as an ion drive to move back into position. Newton's laws still hold, the recoil from the MagBeam is going to push the HPP way off base.
And I'm quite sure that at short ranges the MagBeam can be used as a weapon. Please note that when I say "short range", I mean "less than 50 meters or so."
It would also be a nifity thing for a warship to mount, so it can use it to boost missiles to ferocious velocities.
The main advantages seem to be increased acceleration levels on the spacecraft, and that one HPP propulsion unit can service multiple spacecraft. There are certain maneuvers that are impossible for low acceleration spacecraft, such as sub-orbital to orbital transfers, LEO to GEO transfers, LEO to escape velocity, and fast planetary missions.
Plasma beams as a general rule have short ranges. However, the system can take advantage of the fact that both the HPP and the spacecraft have magnetic fields. The MagBeam uses magnetic fields to focus the beam and the spacecraft has a MagSail to catch the beam. If they start off close enough to each other, the two magnetic field merge ("magnetic reconnection"), and gradually stretch as the spacecraft moves. This creates a long magnetic tunnel to confine the plasma stream, making the stream self-focusing.
This will be a problem when the HPP is faced with the task of slowing down an incoming spacecraft, since initially there will be no magnetic link. The spacecraft will have to temporarily inflate its MagSail, which can be done because it is an M2P2. Once the magnetic connection is made the M2P2 can be deflated to normal size.
Plasma will probably be argon or nitrogen. The beam range will a few thousand kilometers if the HPP or the beam passes through the ionosphere, tens of thousands of kilometers if in the magnetosphere. This is because of the ambient plasma and magnetic fields in the ionosphere.
Since the spacecraft does not carry its propellant, the standard rocket equation does not apply. Instead:
HPPe = (0.25 * M * deltaV * Ve ) / HPPeff
where:
HPPe = electrical energy expended by HPP (joules)
M = mass of spacecraft (kg)
deltaV = delta V applied to spacecraft (m/s)
HPPeff = efficiency of HPP at converting electricity into plasma energy (100% = 1.0, currently 0.6)
Mpb = HPPe / (0.5 * Ve2)
where:
Mpb = mass of propellant expended in HPP beam (kg)
HPPe = electrical energy expended by HPP (joules)
Ve = velocity of HPP beam (m/s)
HPPpower = HPPe / Taccel
where:
HPPpower = miminum power level of HPP power plant (watts)
HPPe = electrical energy expended by HPP (joules)
Taccel = duration of HPP beam usage (sec)
So if a HPP had to boost a 10,000 kg (10 metric ton) spacecraft to a deltaV of 3,000 m/s (3 km/s) using a plasma beam with a velocity of 19,600 m/s (2000 s) had only 300 seconds (5 minutes) to do so and had an efficiency of 0.6 (60%), then the electrical power used would be 2.5×1010 joules, the power plant would need a level of 82,000,000 watts (82 megawatts), and 127 kilograms of propellant would be expended.
MagBeam. Image credit: U. of Washington/Robert Winglee.
MagBeam. Image credit: U. of Washington/Robert Winglee.
MagBeam mothership launches a few Jupiter Probes. Image credit: U. of Washington/Robert Winglee
Photon Sail
Photon Sail
Thrust per sail area
9 N/km2
Thrust by Sol dist
1/R2
A Photon Sail is a sail powered by solar photons. Commonly called a "solar sail", but that term does not make it clear if the sail is powered by solar photons, solar magnetic field, or solar wind.
Artwork by Frank Tinsley. Note spining habitat in center of sail. Click for larger image.
Artwork by Philippe “Manchu” Bouchet for a French edition of The Instrumentality of Mankind by Cordwainer Smith. Click for larger image.
Click for larger image.
Click for larger image.
Illustration for Arthur C. Clarke's "Sunjammer", aka "The Wind From The Sun"
Illustration for Arthur C. Clarke's "Sunjammer", aka "The Wind From The Sun"
Real world photon sail. Ikaros solar sail built by the Japan Aerospace Exploration Agency.
The simplest way to hold a sail out to catch
sunlight is to use a rigid structure, much like a kite. The columns
and beams of such a structure form a three-axis stabilization,
so-named because all three dimensions are rigidly supported.
Kite sails are easier to maneuver than sails that support
themselves by spinning. By tilting the sail so that the light
pressure slows the vessel down in its solar orbit will cause an
inward spiral towards the sun. Tilting the opposite way will cause
an outward spiral.
The kite sail shown has a has a mast, four
booms, and stays supporting a square sail 4 km to a side. At
93% reflectance, it develops a maximum thrust of 182 newtons
at 1 AU. Control is provided by 4 steering vanes of 20,000 m2
area each. The unloaded mass is 16,000 kg and the unloaded
sail loading is 0.5 g/m2.
The film is 300 nm aluminum. Its microstructure is formed by DNA scaffolding,
which is then coated with aluminum and the DNA baked off. This leaves holes
the size of the wavelength of visible light, which makes the film lighter. The
perforated film is thermally limited to 600K, and cannot operate in an Earth
orbit lower than 1000 km due to air drag.
Its thrust can augmented by the
illumination of the 60 MW laser beam which is standard in this game.
Operating at 50 Hz, this beam boils off water coolant replenished through
capillary action in the perforated film. Tiny piezoelectric robot sailmakers repair
ablated portions of the sail using vapor-deposited aluminum.
Twice the size of Garvey’s “Large Square Rigged Clipper Sail”, and adding the perforation feature:
J. M. Garvey, "Space station options for constructing advanced solar sails capable of multiple
mars missions", AIAA Paper 87-1902, AIAA/SAE/ASME 23rd Joint Propulsion Conference,1987.
A heliogyro is a photon sail consisting of
multiple spinning blades. Its blades are rigidified by centrifugal
force and pitched to provide attitude control, much like a
helicopter.
Although a spinning design does not need the
struts of a kite sail, the centrifugal loads generated must be
carried by edge members in the blades. Moreover oscillations
are created when the sail’s attitude changes, which need to be
restrained by transverse battens. Small sail panels prevent
wrinkling from the curvature in edge members between the
battens.
For these reasons, the heliogyro has no mass
advantage over a kite sail, but it has the advantage of easier
deployment in space.
The reference design at 1 AU generates 140 newtons
maximum thrust from 4 banks of 48 blades each. Each blade has a dimension
of 8 × 7500 meters. This thrust is quite low (about 31 lbs), but its game
performance is comparable to an electric rocket since its impulse is imparted
over a full year rather than a few days.
The sail film is 1 μm thick with reflective
and emissive coatings. Each bank is fixed to a hub so the members co-rotate.
The combined film masses 7 tonnes alone, and with the supporting cables
masses 40 tonnes.
Scaled up from the JPL Halley Rendezvous design: Jerome Wright, “Space Sailing”, 1992.
An plasma Magnet is a type of E-sail powered by solar wind.
Other
{ Beer }
Artwork by Ed Emshwiller
Artwork by Ed Emshwiller
Beer
Thrust Power
8 × 10-8 GW
Exhaust velocity
83 m/s
Thrust
84 n
T/W >1.0
no
In The Makeshift Rocket (also known as A Bicycle Built for Brew), the old geezer cobbles together a crude rocket out of hogs-heads of pressurized beer in order to escape to an adjacent asteroid.
(ed note: I asked Rob Davidoff for an estimate of the performance of beer.)
Thrust = velocity * mass_flow
Assume we model the system as the fluid starting from stagnation (V-o = 0) under pressure P_o and accelerating to a vacuum pressure P_2 = 0 at velocity v_1. We can then employ Bernoulli's equation, which says the following once we knock out some irrelevant terms:
P_o = 0.5 * rho * (V_1)2
Solve for V_1:
V_1 = sqrt( 2 * P_o / rho)
So, what's a reasonable pressure? Sheesh, I dunno. A standard fuel-driven rocket engine operates at about 35 atm for a very low-pressure combustion, let's try that. Using the density of water (1000 kg/m3), I get...84 m/s. Isp of 8.5 seconds or so. The thrust will be this times the mass flow, so 1 kg/s would give 84 Newtons.
Is this any use? It's pretty crappy, but maybe it's good enough. Say he needs, oh, 150 m/s. That's a mass ratio of 6, which isn't terrible. To lift off from an asteroid, you basically need a T/W of anything non-zero, so it's workable. Of course, keeping beer pressurized to 35 atmospheres was the starting assumption, any maybe that was a little high.
However, the big issue is the density of the beer. Substitute in an air-like gas with a density of 1.4 kg/m2 instead of 1000, and you get to an Isp of ~220s, instead of 8. That's a lot more like it.
Rob Davidoff
Mass Driver
Mass Driver
Exhaust Velocity
30,000 m/s
Specific Impulse
3,058 s
Thrust
20,000 N
Thrust Power
0.3 GW
Mass Flow
0.67 kg/s
Total Engine Mass
150,000 kg
T/W
0.01
Thermal eff.
90%
Total eff.
90%
Fuel
800MWe input
Remass
Regolith
Remass Accel
Electromagnetic Acceleration
Specific Power
500 kg/MW
Mass drivers: magnetic buckets filled with packed rock dust are accelerated electmagnetically. Buckets are recovered for re-use. Propellant is rock dust or anything else you can stuff into the bucket. Popular with asteroid miners who want to nudge their claims into different orbits. However, their existence may prompt the creation of an Orbital Guard.
In Gerard O'Neill's plan for L5 colonies, mass drivers were used to deliver raw materials mined on Luna into orbit for colony construction. But instead of the mass driver being mounted on a cargo rocket, it was instead a ground installation near the lunar mine. The buckets were filled not with rock propellant, but instead with cargo cannisters of raw materials. The mass driver shot the cannisters into orbit. The cannisters were intercepted by a "catcher" at the colony site. So instead of needing a fleet of cargo rockets, you just needed a mass driver launcher and a catcher.
A mass driver is an electromagnetic mass accelerator that is optimized for propulsion. If you optimize it as a weapon instead, you have a coil-gun or rail gun. The weapons still have recoil and can be used as a crude propulsion system.
An electrodynamic traveling-wave accelerator
can be used as either a thruster or a payload launcher.
The reaction
mass or payload is loaded into a lightweight bucket banded by a
pair of superconducting loops acting as armatures of a linear-electric
guideway. The thruster illustrated accelerates the bucket at 75,000
gee's, utilizing 7 GJ of electromagnetic energy stored inductively in
superconducting coils. The trackway length is 390 meters. One 36kg of
reaction mass is ejected each minute at 15 km/sec. The bucket is decelerated
and recovered. Cryogenic 77 K radiators cool the superconductors.
A mass-driver optimized for materials transport rather than for propulsion uses a
higher ratio of payload mass to bucket mass. With a 54% duty cycle, this
system can launch 10 kt/yr of factory products. Coupled with a pointing
accuracy in the tens of microradians, this can launch payloads or projectiles to
targets millions of kilometers distant. A terrestrial mass driver running up the
side of an equatorial mountain can launch payloads at the Earth escape
velocity (11 km/sec). Imparted with a launch energy of 76 GJ, a one tonne
payload the size and shape of a telephone pole with a carbon cap would burn
up only 3% of its mass and lose only 20% of its energy on its way to solar or
Earth orbit.
Gerard K. O’Neill, “The High Frontier: Human Colonies in Space,” 1977.
“Anjeä SysCon, this is VS Ardent Voyager, gated in-system from Loxix, identifying. Over.”
“Ardent Voyager, Anjeä SysCon, we have you arriving at 5173-09-14:7-51-11; squawk ident. Welcome to Imperial space, please specify your intentions. Over.”
“Anjeä SysCon, Ardent Voyager. Request through-clearance for immediate transit to Conclave System, minimum delta transfers. Over.”
“Wait one, Ardent Voyager… Voyager, please confirm your hull class and propulsion. Over.”
“Anjeä SysCon, we are a beehive habitat with reserve mass driver propulsion. Over.”
“In other words, Ardent Voyager, you’re flying an asteroid and moving by throwing rocks. With regret, please shut down all active drive systems immediately. You are denied transit permission under power. Over.”
“Anjeä SysCon, we are a diplomatic vessel and have the right of transit to Conclave System. Over.”
“Ardent Voyager, you have the right of transit, but that doesn’t exempt you from the rules of navigation. Over.”
“Anjeä SysCon, what’s your problem with us? Nowhere else has refused us transit. Over.”
“Ardent Voyager, this is a crowded system with too damn many loose rocks anyway, see? We don’t want any accidents, and a drive like yours is a flyin’ invitation to accidents, or a hefty cleanup bill. It’s a miracle you got clearance to transit this far. Over.”
“Anjeä SysCon, what are we supposed to do, then, just sit here? Over.”
“Ardent Voyager, hire a tug? Either to finish out your voyage or jump back out-system, but either way, you’re not runnin’ that hazard to navigation anywhere in our sky. SysCon, clear.”
- overheard on system space-control channel, Anjeä (High Verge)
The exhaust is not a stream of matter. Instead it is a beam of Electromagnetic radiation, basically a large laser. The advantage is that it has the maximum possible exhaust velocity and thus the highest specific impulse. The disadvantage is the ludicrously high
power requirements.
The momentum of a photon is p = E/c, where E is the energy of the photon. So the thrust delivered by a stream of photons is ∂p/∂t = ∂E/∂t/c. This boils down to:
F = P/c
P = F * c
where:
F = thrust in Newtons
P = power in watts
c = speed of light in a vacuum (3e8 m/s)
In other words, one lousy Newton of thrust takes three hundred freaking megawatts!!
From Boeing's "Program for Astronomical Research and Scientific Experiments Concerning Space" (1960)
Art by Frank Tinsley
Watch the Heat
Chart from "The Atomic Rocket" by L. R. Shepherd, Ph.D., B.Sc., A.Inst.P., & A. V. Cleaver, F.R.Ae.S., 1948. Collected in Realities of Space Travel
Magnetic Nozzle
Painting by Vincent Di Fate for the novel Starfire by Paul Preuss
Chart from "To The Stars" by Gordon Woodcock, (1983). Collected in Islands In The Sky, edited by Stanley Schmidt and Robert Zubrin (1996). Most of the engines on this chart are torchships.
From my limited understanding, the basic problem is how to keep the engine from vaporizing.
Fp = (F * Ve ) / 2
where
Fp = thrust power (watts)
F = thrust (newtons)
Ve = exhaust velocity (m/s)
The problem is that at high enough values for exhaust velocity and thrust, the amount of watts in the jet is too much. "Too much" is defined as: if only a fractional percentage of those watts are lost as waste heat, the spacecraft glows blue-white and evaporates. The size of the dangerous fractional percent depends on heat protection technology. There is a limit to how much heat that current technology can deal with, without a technological break-through.
Jerry Pournelle says (in his classic A STEP FARTHER OUT) that an exhaust velocity of 28,800,000 cm/s corresponds to a temperature of 5 million Kelvin.
As an exceedingly rough approximation:
Ae = (0.5 * Am * Av2) / B
where
Ae = particle energy (Kelvin)
Am = mass of particle (g) (1.6733e-24 grams for monatomic hydrogen)
Av = exhaust velocity (cm/s)
B = Boltzmann's constant: 1.38e-16(erg K-1)
(note that the above equation is using centimeters per second, not meters per second)
A slightly less rough approximation:
Qe = (Ve / (Z * 129))2 * Pw
where
Qe = engine reaction chamber temperature (Kelvin)
Ve = exhaust velocity (m/s)
Z = heat-pressure factor, varies by engine design, roughly from 1.4 to 2.4 or so.
Pw = mean molecular weight of propellant, 1 for atomic hydrogen, 2 for molecular hydrogen
The interiors of stars are 5 million Kelvin, but few other things are. How do you contain temperatures of that magnitude? If the gadget is something that can be mounted on a ship smaller than the Queen Mary, it has other implications. It is an obvious defense against hydrogen bombs, for starters.
Larry Niven postulates something like this in his "Known Space" series, the crystal-zinc tube makes a science-fictional force field which reflects all energy. Niven does not explore the implications of this. However, Niven and Pournelle do explore the implications in THE MOTE IN GOD'S EYE. The Langson
Field is used in the ship's drive, and as a force screen defense. The Langson field absorbs energy, and can re-radiate it. As a defense it sucks up hostile laser beams and nuclear detonations. As a drive, it sucks up and contains the energy of a fusion reaction, and re-radiates the energy as the equivalent of a photon drive exhaust.
(And please remember the difference between "temperature" and "heat". A spark from the fire has a much higher temperature than a pot of boiling water, yet a spark won't hurt your hand at all while the boiling water can give you second degree burns. The spark has less heat, which in this context is the thrust power in watts.)
If one has no science-fictional force fields, as a rule of thumb the maximum heat load allowed on the drive assembly is around 5 MW/m2. This is the theoretical ultimate, for an actual propulsion system it will probably be quite a bit less. For a back of the envelope calculation:
Rc = 0.12 * sqrt[H]
where
Rc = reaction chamber radius (meters)
H = reaction chamber waste heat (megawatts)
(this equation courtesy of Anthony Jackson)
Example
Say your propulsion system has an exhaust velocity of 5.4e6 m/s and a thrust of 2.5e6 N. Now Fp=(F*Ve)/2 so the thrust power is 6.7e12 W. So, 6.7e12 watts divided by 1.0e6 watts per megawatt gives us 6.7e6 megawatts. Plugging this into the equation results in 0.12 * sqrt[6.7e6 MW] = drive chamber radius of 310 meters or a diameter of a third of a mile. Ouch.
As a first approximation, for most propulsion systems one can get away with using the thrust power for H. Science-fictional technologies can cut the value of H to a percentage of thrust power by somehow preventing the waste heat from getting to the chamber walls.
Only use this equation if H is above 4,000 MW or so, and if the propulsion system is a thermal type (i.e., fission, fusion, or antimatter).
Playing with these figures will show that enclosing a thermal torch drive inside a reaction chamber made of matter appears to be a dead end. Unless you think a drive chamber a third of a mile in diameter is reasonable.
Therefore, the main strategy is to try and direct the drive energy with magnetic fields instead of metal walls. The metal framework lets
the heat escape instead of vaporizing the nozzle. The magnetic field cannot be vaporized since
it is composed of energy instead of matter.
This is gone into in more detail here in the Torchship section.
Calculating the performance of a spaceship can be complicated. But if the ship is powerful enough, we can ignore gravity fields. It is then fairly easy. The ship will accelerate to a maximum speed and then turn around and slow down at its destination. Fusion or annihilation-drive ships will probably do this. They will apply power all the time, speeding up and slowing down.(ed note: a "brachistochrone" trajectory)
In this simple case, all the important performance parameters can be expressed on a single graph. This one is drawn for the case when 90% of the starting mass is propellant. (ed note: a mass ratio of 10) Jet velocity (exhaust velocity) and starting acceleration are the graph scales. Distance for several bodies are shown. Mars varies greatly; I used 150 million kilometers. Trip times and specific power levels are also shown. "Specific power" expresses how much power the ship generates for each kilogram of its mass, that is, its total power divided by its mass. The propellant the ship will carry is not included in the mass value.
An example: Suppose your ship can produce 100 kW/kg of jet power. You wish to fly to Jupiter. Where the 100 kW/kg and Jupiter lines cross on the graph, read a jet velocity of 300,000 m/s (Isp = 30,000) and an initial acceleration of nearly 0.01g. Your trip will take about two months.
The upper area of the graph shows that high performance is needed to reach the nearest stars. Even generation ships will need, in addition to very high jet velocities, power on the order of 100 kW/kg. The space shuttle orbiter produces about 100 kW/kg with its three engines. The high power needed for starflight precludes its attainment with means such as electric propulsion.
Gordon Woodcock
Popular Conceptions
These illustrations are from a 1963 Russian magazine called "Техника молодежи" magazine ("Technology Youth"), as shown in Pavel Popelskii's Science Illustration blog. They are more a popularization for children than they are a rigorous technical document, but they are interesting. I do not speak or read Russian, but I discovered that Google Translate is my friend. Any awkward phrasing is the fault of Google translate.
The radioactive isotope - a source of alpha particles
Absorber of alpha particles, which protects the equipment from the particles emitted in a random direction
Alpha particles.
Reactor
Vacuum diode - a source of electrical current, working on the principle of thermionic emission
Neutron reflector to their concentration in the reaction zone
Solenoid to produce a magnetic field
Capacitor divider that separates the uranium from the hydrogen
Hydrogen plasma, fed into accelerators
Electrodes for the removal of the electric current created by the movement of plasma through a magnetic field
The direction of electric current
Zone of fission
Nozzle
Uranium-graphite reactor core
Openings for supply of hydrogen in the tangential and the walls of the cylindrical chamber
Molten uranium carbide
Porous wall through which the hydrogen leak
Heat exchanger, where sodium, heated in the reactor, transfers its heat to mercury
Radiator cooler for removal of excess heat and condensation of mercury vapor
Turbogenerator to generate electricity
"Isotopic motor"
"Isotopic motor" (a.k.a. fission sail.)
1. The radioactive isotope - a source of alpha particles.
2. Absorber of alpha particles, which protects the equipment from the particles emitted in a random direction.
3. Alpha particles.
This engine is labeled an "isotopic motor", but nowadays is called a fission sail. Radioactive material has its radiation absorbed on all sides except in the desired thrust direction. Great specific impulse, but the thrust is microscopic.
Nuclear-electric rocket
"Reactor", possibly a radioisotope thermoelectric generator.
4. Reactor.
5. Vacuum diode - a source of electrical current, working on the principle of thermionic emission.
6. Neutron reflector to their concentration in the reaction zone.
As near as I can figure, the spherical object labeled "reactor" is actually a type Radioisotope Thermoelectric Generator. I say this because the section labeled "5" appears to be a thermocouple. The spacecraft appears to be a generalized Nuclear-Electric rocket. The unspecified engine would be some kind of electrical propulsion, like ion or plasma.
Magnetohydrodynamic power
Fission reactor and magnetohydrodynamic generator.
6. Neutron reflector to their concentration in the reaction zone.
7. Solenoid to produce a magnetic field.
8. Capacitor divider that separates the uranium from the hydrogen.
9. Hydrogen plasma, fed into accelerators.
10. Electrodes for the removal of the electric current created by the movement of plasma through a magnetic field.
11. The direction of electric current.
12. Zone of fission.
This uses a magnetohydrodynamic (MHD) generator to harvest electricity from the uranium-hydrogen plasma. The fissioning uranium ionizes the hydrogen. The ionized stream can conduct electricity. It is shot through a magnetic field (created by a solenoid), where it induces an electrical current in the side plates. The stream then enters the "divider" where the uranium is separated from the hydrogen. The unspent uranium is sent back to the reaction chamber. The hydrogen is sent to some kind of Electromagnetic accelerator which is powered by the electricity from the MHD generator.
I have no idea if this will acually work, or if it was discredited decades ago. Up until now I had only seen MHD harvesting of electricity associated with nuclear fusion reactions, not nuclear fission.
The "reactor" is actually the reaction chamber (12). The "motor" is the Electromagnetic accelerator. "Working mass" is another name for "reaction mass", "working fluid", or "propellant". The shadow shield is up near the nose, though generally it is more efficient to put it right on top of the reactor. The "vernier motor" is an attitude jet.
These are the atomic rockets, as tipped off by the Russian word for "uranium". All of these are nuclear thermal rockets or NTR. As near as I can figure:
6. Neutron reflector to their concentration in the reaction zone.
12. Zone of fission.
Uranium is just spraying into the reaction chamber along with the propellant. Easiest to engineer, but lots of expensive un-burnt uranium escapes out the exhaust. This angers the owner's accountants and the picketing anti-nuclear activists.
6. Neutron reflector to their concentration in the reaction zone.
12. Zone of fission.
15. Openings for supply of hydrogen in the tangential and the walls of the cylindrical chamber.
Uranium is injected tanjentally, to make a spiral flow around the long axis. Hopefully this forces the uranium to loiter in the reaction chamber longer, reducing the amount of un-burnt uranium that escapes.
D. Gas-core Open-Cycle NTR with Recirculation
6. Neutron reflector to their concentration in the reaction zone.
8. Capacitor divider that separates the uranium from the hydrogen.
12. Zone of fission.
I have never seen this one before.
By doing some research I stumbled over a paper on Russian gas-core design. There is a "recirculation intake" just before the exhaust nozzle that tries to catch the uranium before it escapes. The uranium is liquifed then pumped back to the top of the reaction chamber. Frankly I do not understand why the hot fissioning uranium does not instantly vaporize the intake scoop.
But that is not this design. In this one, the fissioning uranium is jetted in the contrary direction to the hydrogen propellant. It is captured at the top, the hydrogen is filtered out, and sent back to the bottom to be injected again. The author calls it a "coaxial gas reactor", but this is not the same thing as the coaxial-flow NTR.
6. Neutron reflector to their concentration in the reaction zone.
16. Molten uranium carbide.
17. Porous wall through which the hydrogen leak.
The uranium is liquid, and the reaction chamber is spun on the long axis to keep the uranium in the chamber by centrifugal force. Note the tiny arrow indicating the spin, it's a dead giveaway.
This is from a 1960 issue of Technology Youth magazine.
High-pressure tank for accumulation of reactor-heated propellant
Shock tube injector
Valve exhaust
Valves of the cooling system
Exhaust pipe
Anode Arc
Stabilizer
Ring electrode (the cathode of the arc)
Fourth rocket engine (Fig. IV) works in a peculiar thermo-mechanical cycle. Part of the energy of the reactor is used to drive the pump, which feeds into the reactor core liquid working medium, where it vaporizes and heated at high pressure.
The resulting hot gas is pumped into a separate high-pressure chamber, which, through valve 11 communicates with tube shocks. At the other end of the shock tube we find structed diffuser serves to concentrate the energy of the shock wave, and the valve 12, connecting tube with a nozzle rocket. Duty cycle engine is as follows: pump 5 takes the working fluid from the reservoir and high-pressure pumps it through a reactor, where it evaporates and is heated to about 2500° C — and then injected into the high-pressure chamber. Shock tube at this point is still filled with gas of low pressure left over from the previous cycle. Then the valve 11 to quickly open, compressed gas, bursting into the pipe instantaneously compresses and heats the gas in the tube, causing the appearance in it of a strong shock wave.
The highest compression is achieved in the lower stream of the diffuser. Then, valve 11 closes and valve 12 opens and gas at high speed coming out of the nozzle. When the temperature of exhaust gas will decrease by 3-4 times compared with the maximum temperature reached in the shock tube, valve 12 closes and valve 13 opens, and by a pump 5 remains a shock tube fed into a radiator where it cools. This cycle is continuously repeated, creating "clusters" of high-temperature gas flowing from a nozzle at high speed.
NUCLEAR ROCKET by M. Viskova. Technology Youth magazine Jan. 1960
The rocket marked IV appears to be using a system of 'shock tubes', heating a working fluid then pulsing it out underpressure. However, this seems like it would be less efficient then simply operating the engine directly as an NTR, so i have my doubts. As Rob Davidoff pointed out, there is no addition of further "work" after the propellant is heated in the reactor.