## Spaceship Handbook Mission Table

This is a table of mission parameters calculated by Jon C. Rogers for the book Spaceship Handbook. It lists **round-trip missions** starting at Terra's surface, traveling to and landing on the destination planet *(or at low orbit for Venus, Jupiter, Saturn, Uranus, and Neptune; due to the fact that the atmospheric pressure of these planets will crush your spacecraft like a cheap beer can)* then lifting off, traveling back to and landing on Terra.

Mr. Rogers is interested in comparing the different trajectory types, so the focus is on splitting the mission into standard blocks, rather than optimizing for minimum delta V. An optimized missiom will require less delta V than what is listed in the table (approximately 5% to 10% less delta V). As a verification, Mr. Rogers used his mathematical model to calculate a mission to Luna and compared it to the actual data reported by NASA for the Apollo 11 mission. His model said delta V of 16.905 km/s which is within 3% of the NASA Apollo 11 delta V of 16.479 km/s.

Six trajectories are listed, three impulse types and three constant acceleration brachistochrone types. "Impulse" means the spacecraft makes an initial burn then coasts for months.

**Impulse trajectory I-1** is pretty close to a Hohmann (minimum delta V / maximum time) orbit, but with a slightly higher delta V.

**Impulse trajectory I-2** is in-between I-1 and I-3 *(it is equivalent to an elliptical orbit from Mercury to Pluto, the biggest elliptical orbit that will fit inside the solar system)*.

**Impulse trajectory I-3** is near the transition between delta V levels for high impulse trajectories and low brachistochrone trajectories *(it is a hyperbolic solar escape orbit plus 30 km/s)*.

**Brachistochrone** (maximum delta V / minimum time) trajectories are labeled by their level of constant acceleration: 0.01 g, 0.10 g, and 1.0 g.

The transit times are important for figuring things like how much food and life support endurance must be carried, mission radiation total dosage, and damage to astronauts due to prolonged microgravity exposure. In fact, if you have a hard limit on, say, total radiation dosage, you can examine the table and rule out any mission trajectory whose transit time exceeds it.

Destination | Impulse | Brachistochrone | ||||
---|---|---|---|---|---|---|

I-1 | I-2 | I-3 | 0.01g | 0.10g | 1.00g | |

☿ Mercury | 48,740 (8m) | 75,210 (2.5m) | 106,230 (2m) | 397,000 (33d) | 1,205,000 (13d) | 3,794,000 (4d) |

♀ Venus | 30,270 (9.6m) | 63,330 (1m) | 98,620 (21d) | 281,000 (19d) | 815,000 (8d) | 2,552,000 (3d) |

⊕ Terra | - | - | - | - | - | - |

☾ Luna | 16,480 (9d) | - | - | - | - | 260,000 (7h) |

♂ Mars | 29,930 (17m) | 52,930 (2m) | 94,110 (1.5m) | 370,000 (30d) | 1,115,000 (12d) | 3,508,000 (4d) |

⚶ Vesta | 30,300 (2y2m) | 46,670 (5.5m) | 92,560 (3.8m) | 578,000 (54d) | 1,791,000 (20d) | 5,654,000 (7d) |

⚳ Ceres | 33,430 (2y7m) | 44,730 (7.5m) | 92,160 (5m) | 655,000 (63d) | 2,040,000 (23d) | 6,441,000 (8d) |

⚴ Pallas | 33,110 (2y7m) | 44,320 (7.5m) | 91,770 (5m) | 656,000 (63d) | 2,043,000 (23d) | 6,450,000 (8d) |

♃ Jupiter | 69,990 (5y5m) | 72,690 (1y10m) | 118,010 (1y) | 1,000,000 (3.5m) | 3,142,000 (36d) | 9,930,000 (12d) |

Io | 76,220 (5y6m) | 70,760 (1y10m) | 78,980 (1y) | 1,000,000 (3.5m) | 3,143,000 (36d) | 9,933,000 (12d) |

Europa | 67,390 (5y6m) | 61,850 (1y10m) | 71,490 (1y) | 1,001,000 (3.5m) | 3,144,000 (36d) | 9,935,000 (12d) |

Ganymede | 61,880 (5y5m) | 56,250 (1y10m) | 67,130 (1y) | 1,001,000 (3.5m) | 3,145,000 (36d) | 9,938,000 (12d) |

Callisto | 55,400 (5y5m) | 49,640 (1y10m) | 62,190 (1y) | 1,002,000 (3.5m) | 3,147,000 (36d) | 9,945,000 (12d) |

♄ Saturn | 57,690 (12y1m) | 55,770 (4y11m) | 108,680 (2y3m) | 1,420,000 (5m) | 4,477,000 (52d) | 14,153,000 (17d) |

Enceladus | 65,850 (12y1m) | 59,880 (4y11m) | 67,810 (2y3m) | 1,421,000 (5m) | 4,477,000 (52d) | 14,155,000 (17d) |

Tetheys | 62,910 (12y1m) | 56,860 (4y11m) | 65,600 (2y3m) | 1,420,000 (5m) | 4,478,000 (52d) | 14,155,000 (17d) |

Dione | 59,810 (12y1m) | 53,660 (4y11m) | 63,270 (2y3m) | 1,420,000 (5m) | 4,478,000 (52d) | 14,155,000 (17d) |

Rhea | 56,310 (12y1m) | 50,010 (4y11m) | 60,780 (2y3m) | 1,421,000 (5m) | 4,478,000 (52d) | 14,156,000 (17d) |

Titan | 49,670 (12y1m) | 42,750 (4y11m) | 56,660 (2y3m) | 1,421,000 (5m) | 4,479,000 (52d) | 14,160,000 (17d) |

Iapetus | 45,010 (12y1m) | 37,590 (4y11m) | 53,070 (2y3m) | 1,422,000 (5m) | 4,483,000 (52d) | 14,173,000 (17d) |

♅ Uranus | 50,110 (32y) | 44,830 (15y6m) | 56,420 (5y2m) | 2,069,00 (8m) | 6,532,00 (76d) | 20,652,000 (24d) |

Ariel | 49,910 (32y) | 44,650 (15y6m) | 56,150 (5y2m) | 2,069,000 (8m) | 6,532,00 (76d) | 20,653,000 (24d) |

Umbriel | 48,010 (32y) | 42,550 (15y6m) | 54,870 (5y2m) | 2,069,000 (8m) | 6,532,000 (76d) | 20,653,000 (24d) |

Titania | 46,180 (32y) | 40,410 (15y6m) | 53,800 (5y2m) | 2,069,000 (8m) | 6,532,000 (76d) | 20,654,000 (24d) |

Oberon | 45,040 (32y) | 38,930 (15y6m) | 53,220 (5y2m) | 2,069,000 (8m) | 6,532,000 (76d) | 20,654,000 (24d) |

♆ Neptune | 51,370 (61y3m) | 48,420 (36y) | 57,470 (8y5m) | 2,613,000 (10m) | 8,257,000 (96d) | 26,108,000 (31d) |

Triton | 48,090 (61y3m) | 44,780 (36y) | 56,030 (8y5m) | 2,614,000 (10m) | 8,257,000 (96d) | 26,109,000 (31d) |

Nereid | 40,620 (61y3m) | 36,300 (36y) | 50,400 (8y5m) | 2,615,000 (10m) | 7,262,000 (96d) | 26,125,000 (31d) |

♇ Pluto | 39,810 (90y11m) | 39,810 (88y9m) | 50,140 (11y4m) | 3,009,000 (11m) | 9,508,000 (111d) | 30,063,000 (35d) |

Charon | 39,680 (90y11m) | 39,680 (88y9m) | 50,080 (11y4m) | 3,009,000 (11m) | 9,508,000 (111d) | 30,063,000 (35d) |

Using the mission table above, Mr. Rogers took a list of major propulsion systems and calculated which ones were up to the task of peforming said missions. Note that Mr. Rogers values for the exhaust v3elocity of the propulsion systems might differ slightly from the ones I have on the mission list.

**1 Stage, Max Payload**is 33% payload, 66% propellant, mass ratio of 2.94**1 Stage, Min Payload**is 11% payload, 89% propellant, mass ratio of 9.1**Multi Stage**is 1.6% payload, 98.4% propellant, mass ratio of 62.5

Cross reference the mass ratio, propulsion system, and mission trajectory. If there is a colored box at the intersection, the propulsion system can perform that mission.

*Example:* For a 1 Stage minimum payload (mass ratio of 9.1), using a Nuclear Fission Gas Core reactor, with a Mars Impulse trajectory I-2, the presence of a hot pink box says that propulsion system is capable of that mission. But it is not capable of performing a Mars Constant Brachistochrone 0.01g mission.

## Erik Max Francis' Mission Tables

Below are a series of tables for Hohmann transfer delta V requirments. Unlike the above table, they are for **one-way trips** to various destinations. For instance, the above table will give requirements for a **Terra-Mars-Terra** mission, but the tables below will give requirements for a **Terra-Mars** mission.

The tables assume that an orbit for each of the bodies is 100 km altitude *(even for pointlessly tiny ones like Phobos and Deimos)*, and for surface launches it is presumed that all the bodies have no atmosphere *(not true for, say, Titan)*.

The tables were created by Erik Max Francis' amazing Hohmann orbit calculator and the easy to use Python programming language *(sample program here and here)*.

### Delta V Required for Travel Using Hohmann Orbits

#### Table Legend

- Start and destination planets are labeled along axes.
- Values are in meters per second.
- Values below the diagonal in
**blue**are delta V's needed to go from orbit around one world to orbit around the other, landing on neither. - Values above the diagonal in
**red**are delta V's needed to go from the surface of one world to the surface of the other, taking off and landing. If either is a gas giant, a 100 kilometer orbit is used instead of the planet's surface. - Diagonal values in
**gold**are delta V's needed to take off from the surface of a world and go into circular orbit around it, or to land from a circular orbit.

#### Solar System

Mercury | Venus | Earth | Mars | Vesta | Juno | Eugenia | Ceres | Pallas | Jupiter | Saturn | Uranus | Neptune | Pluto | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Mercury | 2,945 | 19,852 | 23,523 | 23,143 | 24,486 | 24,991 | 25,050 | 25,059 | 25,094 | 36,121 | 30,200 | 26,548 | 27,176 | 24,207 |

Venus | 9,524 | 7,265 | 21,703 | 18,542 | 19,316 | 19,960 | 20,043 | 20,078 | 20,114 | 33,372 | 27,477 | 23,913 | 24,620 | 21,488 |

Earth | 13,094 | 6,887 | 7,847 | 16,540 | 16,368 | 17,035 | 17,124 | 17,170 | 17,204 | 31,642 | 25,705 | 22,169 | 22,918 | 19,679 |

Mars | 16,876 | 7,887 | 5,748 | 3,502 | 7,525 | 8,323 | 8,437 | 8,524 | 8,555 | 25,265 | 19,694 | 16,475 | 17,390 | 14,026 |

Vesta | 21,371 | 11,832 | 8,756 | 4,041 | 234 | 1,167 | 1,312 | 1,544 | 1,544 | 20,966 | 15,834 | 12,960 | 14,059 | 10,529 |

Juno | 21,978 | 12,580 | 9,528 | 4,950 | 933 | 77 | 233 | 625 | 578 | 20,367 | 15,253 | 12,423 | 13,558 | 9,968 |

Eugenia | 22,075 | 12,700 | 9,654 | 5,102 | 1,124 | 127 | 44 | 496 | 443 | 20,264 | 15,152 | 12,328 | 13,469 | 9,869 |

Ceres | 21,863 | 12,514 | 9,477 | 4,963 | 1,116 | 279 | 191 | 320 | 755 | 20,172 | 15,041 | 12,216 | 13,360 | 9,751 |

Pallas | 21,943 | 12,596 | 9,558 | 5,041 | 1,160 | 269 | 172 | 233 | 242 | 20,175 | 15,051 | 12,229 | 13,374 | 9,764 |

Jupiter | 33,159 | 26,048 | 24,192 | 21,956 | 20,813 | 20,318 | 20,252 | 19,933 | 19,982 | 42,530 | 28,237 | 24,085 | 24,765 | 20,493 |

Saturn | 27,239 | 20,156 | 18,259 | 16,392 | 15,682 | 15,205 | 15,140 | 14,806 | 14,862 | 28,237 | 25,495 | 16,875 | 17,573 | 12,786 |

Uranus | 23,588 | 16,594 | 14,726 | 13,177 | 12,809 | 12,374 | 12,316 | 11,982 | 12,041 | 24,085 | 16,875 | 15,082 | 13,153 | 7,760 |

Neptune | 24,217 | 17,302 | 15,476 | 14,093 | 13,908 | 13,510 | 13,457 | 13,126 | 13,186 | 24,765 | 17,573 | 13,153 | 16,623 | 8,114 |

Pluto | 20,432 | 13,355 | 11,420 | 9,912 | 9,560 | 9,100 | 9,038 | 8,697 | 8,757 | 19,670 | 11,957 | 6,921 | 7,267 | 802 |

#### Moons of Mars

Phobos | Deimos | |
---|---|---|

Phobos | 3 | 745 |

Deimos | 744 | 1 |

#### Moons of Jupiter

Metis | Adrastea | Amalthea | Io | Europa | Ganymede | Callisto | Himalia | Elara | |
---|---|---|---|---|---|---|---|---|---|

Metis | 7 | 109 | 4,970 | 13,485 | 15,561 | 17,006 | 17,380 | 15,589 | 15,574 |

Adrastea | 85 | 8 | 4,877 | 13,410 | 15,495 | 16,949 | 17,330 | 15,549 | 15,534 |

Amalthea | 4,922 | 4,826 | 54 | 9,392 | 11,876 | 13,814 | 14,596 | 13,367 | 13,355 |

Io | 11,768 | 11,690 | 7,625 | 1,761 | 5,689 | 8,022 | 9,431 | 9,560 | 9,558 |

Europa | 14,182 | 14,113 | 10,452 | 2,545 | 1,388 | 5,504 | 6,855 | 7,705 | 7,709 |

Ganymede | 15,107 | 15,047 | 11,871 | 4,385 | 2,177 | 1,902 | 5,772 | 6,626 | 6,636 |

Callisto | 15,676 | 15,624 | 12,850 | 6,004 | 3,748 | 2,127 | 1,691 | 5,065 | 5,083 |

Himalia | 15,542 | 15,499 | 13,279 | 7,806 | 6,281 | 4,676 | 3,305 | 59 | 158 |

Elara | 15,558 | 15,515 | 13,297 | 7,834 | 6,316 | 4,717 | 3,355 | 41 | 20 |

#### Moons of Saturn

Epimetheus | Janus | Mimas | Enceladus | Tethys | Dione | Rhea | Titan | Iapetus | |
---|---|---|---|---|---|---|---|---|---|

Epimetheus | 15 | 72 | 1,521 | 3,156 | 4,374 | 5,552 | 6,768 | 9,230 | 8,481 |

Janus | 17 | 26 | 1,515 | 3,149 | 4,368 | 5,546 | 6,762 | 9,224 | 8,475 |

Mimas | 1,428 | 1,416 | 92 | 1,676 | 2,943 | 4,188 | 5,514 | 8,302 | 7,703 |

Enceladus | 3,044 | 3,031 | 1,490 | 112 | 1,384 | 2,653 | 4,077 | 7,249 | 6,827 |

Tethys | 4,121 | 4,108 | 2,617 | 1,023 | 258 | 1,568 | 2,969 | 6,422 | 6,132 |

Dione | 5,216 | 5,203 | 3,780 | 2,217 | 971 | 333 | 1,891 | 5,559 | 5,391 |

Rhea | 6,340 | 6,328 | 5,016 | 3,553 | 2,297 | 1,116 | 422 | 4,565 | 4,469 |

Titan | 7,367 | 7,355 | 6,369 | 5,292 | 4,321 | 3,371 | 2,276 | 1,832 | 3,977 |

Iapetus | 8,104 | 8,093 | 7,258 | 6,359 | 5,523 | 4,698 | 3,681 | 1,736 | 360 |

#### Moons of Uranus

Miranda | Ariel | Umbriel | Titania | Oberon | |
---|---|---|---|---|---|

Miranda | 115 | 1,215 | 1,889 | 2,834 | 3,137 |

Ariel | 720 | 364 | 1,332 | 2,218 | 2,533 |

Umbriel | 1,431 | 593 | 338 | 1,629 | 1,918 |

Titania | 2,194 | 1,312 | 730 | 514 | 1,566 |

Oberon | 2,530 | 1,663 | 1,060 | 496 | 483 |

#### A Grain Of Salt

"What's delta V from Earth orbit to Mars orbit?" -- a common question in science fiction or space exploration forums. The usual answer given is around 6 km/s, the delta V needed to go from a low, circular Earth orbit to a low, circular Mars orbit. A misleading answer, in my opinion.

There are a multitude of possible orbits and low circular orbits take more delta V to enter and exit. A science fiction writer using 6 km/s for Earth orbit to Mars orbit has a needlessly high delta V budget.

There are capture orbits that take much less delta V to enter and exit. By capture orbit I mean a periapsis as low as possible and apoapsis as high as possible. A capture orbit's apoapsis should be within a planet's Sphere Of Influence (SOI).

On page 124 of Prussing and Conway's Orbital Mechanics, radius of Sphere Of Influence is given by:

r_{soi}= ( m_{p}/ m_{s})^{2/5}r_{sp}

where

r_{soi}is radius of Sphere Of Influence

m_{p}is mass of planet

m_{s}is mass of sun

r_{sp}is distance between sun and planet.

The table below is modeled after a mission table at Atomic Rockets, a popular resource for science fiction writers and space enthusiasts.

• Departure and destination planets are along the left side and across the top of the table.

• Numbers are kilometers/second

• Numbers below the diagonal in blue are delta V's needed to go from departure planet's low circular orbit to destination planet's low circular orbit. These are about the same as the blue quantities listed at Atomic rockets.

• Numbers above the diagonal in red are delta V's needed to go from departure planet's capture orbit to desitnation planet's capture orbit.

Venus Earth Mars Jupiter Saturn Uranus Neptune Venus 0.7 3.6 5.6 6.7 7.5 7.5 Earth 6.8 1.1 3.5 4.6 5.3 5.4 Mars 7.9 5.7 3.0 4.5 5.6 5.8 Jupiter 25.8 24.0 21.8 0.1 0.3 0.3 Saturn 20.0 18.1 16.2 27.8 0.1 0.2 Uranus 16.6 14.7 13.2 23.8 16.6 0.03 Neptune 17.3 15.4 14.1 24.5 17.3 13.1

It's easy to see the red numbers are a lot less than the blue numbers. I used this spreadsheet to get these numbers. The spreadsheet assumes circular, coplanar orbits.

A graphic comparing delta Vs from earth to various destination planets:

If a low circular orbit at the destination is needed, it's common to do a burn to capture orbit with the capture orbit's periapsis passing through the upper atmosphere. Each periapsis pass through the upper atmosphere sheds velocity, lowering the apoapsis. Thus over time the orbit is circularized without the need for reaction mass. The planets in the table above have atmospheres, so the drag pass technique can be used for all of them.

A delta V budget is from propellant source to destination. If propellant depots are in high orbit, the needed delta V is closer to departing from a capture orbit than departing from a low circular orbit.

Thus it would save a lot of delta V to depart from Earth-Moon-Lagrange 1 or 2 (EML1 or EML2) regions. The poles of Luna have cold traps that may have rich volatile deposits. This potential propellant is only 2.5 km/s from EML1 and EML2. Entities like Planetary Resources have talked about parking a water rich asteroid at EML1 or 2. Whether EML propellant depots are supplied by lunar or asteroidal volatiles, they would greatly reduce the delta V for interplanetary trips.

Mars' two moons, Phobos and Deimos, have low densities. Whether that is from volatile ices or voids in a rubble pile is still unknown. If they do have volatile ices, these moons could be a propellant source. It would take much less delta V departing from Deimos than low Mars orbit.

All the gas giants have icey bodies high on the slopes of their gravity wells. However the axis of Uranus and her moons are tilted 97 degrees from the ecliptic. The plane change would be very expensive in terms of delta V. So the moons of Uranus wouldn't be helpful as propellant sources.

Venus has no moon. So of all the planets listed above, only Uranus and Venus lack potential high orbit propellant sources.

Anyway you look at it, the blue numbers from conventional wisdom are inflated.

**INFLATED DELTA Vs**by Hollister David (2012)

### Synodic Periods and Transit Times for Hohmann Travel

Here are some Synodic Periods and Transit Times for Hohmann Travel tables. Remember that Synodic periods are how often Hohmann launch windows occur. These too were created by Erik Max Francis' Hohmann orbit calculator.

#### Table Legend

- In both sections,
**"y"**means "years",**"m"**means "months",**"d"**means "days", and**"h"**means "hours" **Synodic periods***(i.e., frequency of Hohmann launch windows)*are above the diagonal in**red****Transit times**are below the diagonal in**blue**

#### Solar System

Mercury | Venus | Earth | Mars | Vesta | Juno | Eugenia | Ceres | Pallas | Jupiter | Saturn | Uranus | Neptune | Pluto | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Mercury | 4.7m | 3.8m | 3.3m | 3.1m | 3.1m | 3.1m | 3.0m | 3.0m | 2.9m | 2.9m | 2.9m | 2.9m | 2.9m | |

Venus | 2.5m | 1y, 7.2m | 11.0m | 8.9m | 8.6m | 8.6m | 8.5m | 8.5m | 7.8m | 7.5m | 7.4m | 7.4m | 7.4m | |

Earth | 3.5m | 4.8m | 2y, 1.6m | 1y, 4.6m | 1y, 3.6m | 1y, 3.4m | 1y, 3.3m | 1y, 3.3m | 1y, 1.1m | 1y, 0.4m | 1y, 0.1m | 1y, 0.1m | 1y, 0.0m | |

Mars | 5.6m | 7.1m | 8.5m | 3y, 10.8m | 3y, 3.7m | 3y, 2.9m | 3y, 2.2m | 3y, 2.1m | 2y, 2.8m | 2y, 0.1m | 1y, 11.1m | 1y, 10.8m | 1y, 10.7m | |

Vesta | 9.7m | 11.5m | 1y, 1.1m | 1y, 4.2m | 21y, 8.2m | 18y, 11.7m | 17y, 2.4m | 16y, 11.6m | 5y, 2.7m | 4y, 1.6m | 3y, 9.5m | 3y, 8.5m | 3y, 8.2m | |

Juno | 11.3m | 1y, 1.2m | 1y, 2.9m | 1y, 6.2m | 1y, 11.9m | 151y, 11.1m | 83y, 1.8m | 77y, 11.1m | 6y, 10.6m | 5y, 1.3m | 4y, 7.1m | 4y, 5.7m | 4y, 5.2m | |

Eugenia | 11.6m | 1y, 1.6m | 1y, 3.2m | 1y, 6.5m | 2y, 0.3m | 2y, 2.5m | 183y, 8.3m | 159y, 11.8m | 7y, 2.5m | 5y, 3.4m | 4y, 8.9m | 4y, 7.3m | 4y, 6.8m | |

Ceres | 11.9m | 1y, 1.8m | 1y, 3.5m | 1y, 6.8m | 2y, 0.6m | 2y, 2.9m | 2y, 3.3m | 1239y, 8.2m | 7y, 6.1m | 5y, 5.3m | 4y, 10.4m | 4y, 8.8m | 4y, 8.2m | |

Pallas | 11.9m | 1y, 1.9m | 1y, 3.5m | 1y, 6.9m | 2y, 0.7m | 2y, 2.9m | 2y, 3.3m | 2y, 3.6m | 7y, 6.6m | 5y, 5.6m | 4y, 10.6m | 4y, 9.0m | 4y, 8.5m | |

Jupiter | 2y, 4.0m | 2y, 6.6m | 2y, 8.8m | 3y, 1.0m | 3y, 8.1m | 3y, 10.9m | 3y, 11.3m | 3y, 11.7m | 3y, 11.8m | 19y, 9.6m | 13y, 9.9m | 12y, 9.5m | 12y, 5.7m | |

Saturn | 5y, 6.8m | 5y, 10.2m | 6y, 1.0m | 6y, 6.5m | 7y, 3.6m | 7y, 7.0m | 7y, 7.5m | 7y, 8.0m | 7y, 8.1m | 10y, 0.6m | 45y, 9.8m | 36y, 2.1m | 33y, 8.8m | |

Uranus | 15y, 3.9m | 15y, 8.7m | 16y, 0.6m | 16y, 8.1m | 17y, 8.4m | 18y, 0.9m | 18y, 1.7m | 18y, 2.4m | 18y, 2.5m | 21y, 3.8m | 27y, 3.6m | 171y, 12.0m | 127y, 11.2m | |

Neptune | 29y, 8.2m | 30y, 2.1m | 30y, 7.0m | 31y, 4.3m | 32y, 7.4m | 33y, 0.9m | 33y, 1.9m | 33y, 2.7m | 33y, 2.8m | 36y, 12.0m | 44y, 1.2m | 61y, 1.1m | 499y, 4.3m | |

Pluto | 44y, 1.1m | 44y, 7.8m | 45y, 1.4m | 46y, 0.0m | 47y, 5.1m | 47y, 11.4m | 48y, 0.5m | 48y, 1.4m | 48y, 1.6m | 52y, 4.4m | 60y, 3.6m | 78y, 11.6m | 101y, 11.3m |

#### Moons of Mars

Phobos | Deimos | |
---|---|---|

Phobos | 10h | |

Deimos | 9h |

#### Moons of Jupiter

Metis | Adrastea | Amalthea | Io | Europa | Ganymede | Callisto | Himalia | Elara | |
---|---|---|---|---|---|---|---|---|---|

Metis | 31d, 21h | 17h | 9h | 8h | 7h | 7h | 7h | 7h | |

Adrastea | 4h | 18h | 9h | 8h | 7h | 7h | 7h | 7h | |

Amalthea | 5h | 5h | 17h | 14h | 13h | 12h | 12h | 12h | |

Io | 11h | 11h | 13h | 3d, 13h | 2d, 8h | 1d, 23h | 1d, 19h | 1d, 19h | |

Europa | 20h | 20h | 22h | 1d, 7h | 7d, 1h | 4d, 12h | 3d, 14h | 3d, 14h | |

Ganymede | 1d, 12h | 1d, 12h | 1d, 14h | 2d, 2h | 2d, 15h | 12d, 12h | 7d, 9h | 7d, 9h | |

Callisto | 3d, 6h | 3d, 6h | 3d, 9h | 3d, 24h | 4d, 16h | 5d, 19h | 17d, 21h | 17d, 20h | |

Himalia | 45d, 2h | 45d, 2h | 45d, 9h | 46d, 19h | 48d, 6h | 50d, 16h | 55d, 16h | 7050d, 0h | |

Elara | 46d, 17h | 46d, 17h | 47d, 1h | 48d, 11h | 49d, 23h | 52d, 9h | 57d, 11h | 127d, 16h |

#### Moons of Saturn

Epimetheus | Janus | Mimas | Enceladus | Tethys | Dione | Rhea | Titan | Iapetus | |
---|---|---|---|---|---|---|---|---|---|

Epimetheus | 1405d, 13h | 2d, 16h | 1d, 10h | 1d, 2h | 22h | 20h | 17h | 17h | |

Janus | 8h | 2d, 16h | 1d, 10h | 1d, 2h | 22h | 20h | 17h | 17h | |

Mimas | 10h | 10h | 3d, 1h | 1d, 21h | 1d, 11h | 1d, 5h | 1d, 0h | 23h | |

Enceladus | 12h | 12h | 14h | 5d, 0h | 2d, 18h | 1d, 23h | 1d, 12h | 1d, 9h | |

Tethys | 15h | 15h | 17h | 19h | 6d, 2h | 3d, 6h | 2d, 3h | 1d, 22h | |

Dione | 19h | 19h | 21h | 1d, 0h | 1d, 4h | 6d, 23h | 3d, 7h | 2d, 20h | |

Rhea | 1d, 4h | 1d, 4h | 1d, 6h | 1d, 10h | 1d, 13h | 1d, 19h | 6d, 7h | 4d, 19h | |

Titan | 3d, 9h | 3d, 9h | 3d, 12h | 3d, 16h | 3d, 22h | 4d, 5h | 4d, 20h | 19d, 23h | |

Iapetus | 14d, 22h | 14d, 22h | 15d, 3h | 15d, 11h | 15d, 19h | 16d, 8h | 17d, 6h | 21d, 20h |

#### Moons of Uranus

Miranda | Ariel | Umbriel | Titania | Oberon | |
---|---|---|---|---|---|

Miranda | 4d, 4h | 2d, 13h | 1d, 22h | 1d, 19h | |

Ariel | 1d, 0h | 6d, 11h | 3d, 14h | 3d, 3h | |

Umbriel | 1d, 9h | 1d, 16h | 7d, 23h | 6d, 0h | |

Titania | 2d, 8h | 2d, 16h | 3d, 3h | 24d, 13h | |

Oberon | 3d, 7h | 3d, 15h | 4d, 4h | 5d, 12h |

## Delta-V Maps

These are "maps" of the delta-V cost to move from one "location" to another (instead of maps of the ditance from one location to another). Keep in mind that some of the locations are actually orbits. If there is a planet with an atmosphere involved, "aerobraking" may be used *(i.e., diving through the planet's atmosphere to use friction to burn off delta-V for free in lieu of expending expensive propellant)*.

**LEO:**Low Earth Orbit. Earth orbit from 160 kilometers to 2,000 kilometers from the Earth's surface (below 200 kilometers Earth's atmosphere will cause the orbit to decay). The International Space Station is in an orbit that varies from 320 km to 400 km.**GEO:**Geosynchronous Earth Orbit. Earth orbit at 42,164 km from the Earth's center (35,786 kilometres from Earth's surface). Where the orbital period is one sidereal day. A satellite in GEO where the orbit is over the Earth's equator is in**geostationary**orbit. Such a satellite as viewed from Earth is in a fixed location in the sky, which is intensely desirable real-estate for telecommunications satellites. These are called "Clarke orbits" after Sir. Arthur C. Clarke. Competition is fierce for slots in geostationary orbit, slots are allocation by the International Telecommunication Union.**EML1:**Earth-Moon Lagrangian point 1. On the line connecting the centers of the Earth and the Moon, the L1 point is where the gravity of the two bodies cancels out. It allows easy access to both Earth and Lunar orbits, and would be a good place for an orbital propellant depot and/or space station. It has many other uses. It is about 344,000 km from Earth's center.

**Rocket Flight Delta-V Map**

Fan map made by me for tabletop boardgame Rocket Flight (1999). Click for larger image

In the also regrettably out of print game Rocket Flight the map is ruled off in hexagons of delta V instead of hexagons of distance (wargames use hexagons instead of squares so that diagonal movement is the same distance as orthogonal). Moving from one hex to an adjacent hex represents a delta V of 3 kilometers per second. This also means that in this map each hexagon represents an entire orbit (instead of a location), due to "rotating frames of reference" (no, I do not quite understand that either; but people I know who are more mathematically knowledgable than I have assured me that it is a brilliant idea).

In order to move to an adjacent hexagon in one turn, the spacecraft has to expend propellant mass points. To discover how much, refer to the table and cross reference the spacecraft propulsion's specific impulse with the spacecraft's dry mass points:

Specific Impulse | Dry Mass 0 to 5 | Dry Mass 6 to 10 | Dry Mass 11 to 20 | Dry Mass 21 to 30 | Dry Mass 31 to 99 |
---|---|---|---|---|---|

800 km/s | 0 | 0 | 0 | 0 | 0.1 |

100 km/s | 0 | 0 | 0 | 0 | 0.5 |

32 km/s | 0 | 0 | 0.5 | 0.5 | 1 |

16 km/s | 0 | 0.5 | 1 | 1 | 2 |

8 km/s | 0.5 | 1 | 2 | 2 | 4 |

4 km/s | 1 | 1 | 3 | 4 | 7 |

3 km/s | 1 | 2 | 4 | 6 | 10 |

2 km/s | 2 | 3 | 4 | 9 | 15 |

1 km/s | 4 | 8 | 16 | 24 | 40 |

If you want to move two hexes in one turn, you have to burn four times the specified number of propellant points. You can move three hexes for eight times the propellant, four hexes for 16 times the propellant, and 5 hexes for 32 times the propellant. Which is why most people opt to just move one hex per turn unless it is an emergency.

However, the various propulsion systems have a maximum mass flow rate, which is the maximum number of propellant points it can expend in one turn. This corresponds to the spacecraft's acceleration rate.

**High Frontier Delta-V Map**

The black hexagons are **sites**, which are planets, moons, and asteroid spacecraft can land on. some planets are composed of several sites, *e.g.,* the planet Mars is composed of three sites: North Pole, Hellas Basin Buried Glaciers, and Arsia Mons Caves.

Sites are connected by lines called **routes** which are paths that spacecraft can move along. During the turn, a spacecraft can move as far as it wants along a path, until it encounters a pink circle. In order to enter a pink circle it has to expend one "burn" (paying the 2.5 km/sec delta V cost and also expending a unit of propellant). At the beginning of each turn, a spacecraft is given an allotment of "burns" equal to its acceleration rating. These burns can be used during its turn, unused burns are lost. Remember in order to use a burn the spacecraft must pay a point of propellant.

When a spacecraft runs out of burns, it can no longer enter pink circles during this turn. It has to stop on any "Intersections" on its current path prior to the pink circle. And when a spacecraft runs out of propellant, it can no longer make burns at all until it is refueled no matter what turn it is.

The number of propellant units and the acceleration rating of a spacecraft depends upon its propulsion system and mass ratio.

Different routes cross each other. If one of the routes has a gap (so it appears that one route goes "over" and the other goes "under", see "No Intersection" in the diagram) the two routes are not connected. If both routes have no gaps they are connected, this is called a "Hohmann Intersection". If the place the two routes cross is marked with a circle they are connected, this is called a "Lagrange Intersection." At the end of a turn all spacecraft must be occupying either an Intersection or a Site.

A spacecraft can turn at an Interstection to switch from the route it is on to the route it was crossing (otherwise it has to stay on its current route). It costs one burn to turn at a Hohmann intersection, turning at a Lagrange intersection is free (due to gravity being negated by a nearby planet).

Some Lagrange intersections are marked with symbols:

- Skull and Crossed Bones: a Crash Hazard. Spacecraft has to roll a die to see if it crashes and is destroyed.
- Parachute: an Aerobrake Hazard. Spacecraft has to roll a die. If it rolls 2 to 6, it successfully areobrakes, and can now move to land on a Site with no cost in propellant. If it rolls a 1, it burns up in reentry and is destroyed. Spacecraft with Atmospheric ISRU Scoops are immune to Aerobrake Hazards, they are automatically successful. In addition such spacecraft can refuel if they ends their move there. A spacecraft using one of the three kinds of lightpressure sail propulsion is automatically destroyed if it enters an Aerobrake Hazard.
- Number: Gravitational Slingshot. Spacecraft obtains that number of extra burns
*which do not require propellant to be expended*. These burns can be used in the remainder of the game turn. NASA loves gravitational slingshots and use them at every opportunity. - Lunar Crescent: Moon Boost. As per Gravitational Slingshot, except it only gives +1 extra propellant-free burn.
- Nuclear Trefoil: Radiation Belt. Spacecraft entering this suffer a radiation attack. Roll one die and subtract the spacecraft's modified thrust to find the radiation level (the faster you can fly the lower the radiation dose). All spacecraft systems with a radiation hardness lower than the radiation level are destroyed. If sunspots are active add 2 to the die roll. The UN Cycler is immune to the Earth radiation belt. Spacecraft with a sail propulsion system are immune to radiation belts. Spacecraft with Magnetic Sails are immune and in addition get a Moon Boost.

Tabletop boardgame High Frontier (2010)

The concentric gold circles show solar intensity, used for figuring thrust of solar sails.The lop-eared bunny rabbit head slightly above center is the "rabbit hole." This is the FTL jump point from Attack Vector: Tactical.

Tabletop boardgame High Frontier (2010)

Earth has lots of Radiation Belt hazards due to the Van Allen Belt. The Earth Flyby Lagrange Intersection is a +2 Gravitational Slingshot. Luna has two Moon Boost Lagrange Intersections.

Tabletop boardgame High Frontier (2010)The planet Mars is composed of three sites: North Pole, Hellas Basin Buried Glaciers, and Arsia Mons Caves (black hexagons). Spacecraft can attempt to Aerobrake into Arisa Mons (little parachute symbol). If it tries to Aerobrake into Hellas Basin it also has to run the risk of deadly dust stormes (skull-and-crossbones symbol). Entering the North Pole requires doing a burn for a change-of-plane maneuver to enter a polar orbit (pink circle labeled "polar insert"). The Mars Flyby Lagrange Intersection is a +1 Gravitational Slingshot.

Tabletop boardgame High Frontier (2010)

**High Trader Delta-V Map**

A pity this game never saw the light of day.

Each triangle or diamond shape is an Orbital. Spacecraft in orbitals must always be facing one of the sides of the orbital. Turning to face an adjacent side requires one burn of 2.5 km/s delta V. Spacecraft can move from the orbital they are in, jumping over the face they are pointing at, and enter the next orbital. There is no cost to do so unless the face has a Burn Dot on it. In that case the spacecraft must expend one burn of 2.5 km/s delta V. If the spacecraft does not have that much delta V left it is forbidden to cross the Burn Dot.

Each new orbital entered adds 2 months to the spacecraft's travel time.

Tabletop boardgame High Trader (never released)

The white lop-eared bunny rabbit head in upper left corner is the "rabbit hole." This is the FTL jump point from Attack Vector: Tactical.

Tabletop boardgame High Trader (never released)Tabletop boardgame High Trader (never released)