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Imperial Interstellar Scout Service Details of the worlds of the Imperium (and beyond).

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Old October 26th, 2004, 12:05 PM
Malenfant
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Since RainOfSteel asked, here's a table showing jump limits based on the mass of the object you're jumping from (using the strength of the gravitational field - you can't jump in a gravitational field that is stronger than 0.01 m/s2.).

If you want to use a higher or lower field strength as the limit, you need to multiply the distance in metres on the tables below by 1/(SQRT(R)), where R is the ratio of the new g-limit to the old one. So if you want to set the limit at 0.02m/s2, you multiply the existing 0.01m/s2 limit by 1/(SQRT(2)), which moves the limit closer to the star.

The full formula is:

D = SQRT(GM/g)

where D = distance of jump limit from centre of body (in metres), G = 6.672559e-11, M = mass of object in kg, and g is the local g-field strength in m/s2.

In all cases, this is distance from the centre of the body. If the limit is smaller than the object's radius, then jump can occur from any distance beyond its surface.

Note also that since it is related to mass, the limit doesn't change through any stellar evolutionary stage (unless the star loses mass, as it would when it became a white dwarf or neutron star).

Note that the jump limit for white dwarfs here remains around 0.5 AU, not a few million km - and for giants and supergiants the jump limit is usually within the star's radius. It also means that the jump limit for brown dwarfs increases as they become more massive - in the old system, it would stay the same since they keep the same radius as they get more massive.

For stars:
</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">Solar limit/metres limit/AU
masses
15 4.46179E+11 2.97 Antares
14 4.3105E+11 2.87
13 4.1537E+11 2.77
12 3.99075E+11 2.66
11 3.82085E+11 2.55
10 3.64304E+11 2.43
9 3.45609E+11 2.30
8 3.25843E+11 2.17
7 3.04798E+11 2.03 B3 V
6 2.82188E+11 1.88 B4 V
5 2.57602E+11 1.72 B5 V
4 2.30406E+11 1.54 B7 V
3 1.99537E+11 1.33 B9 V
2 1.62922E+11 1.09 A5 V
1.75 1.52399E+11 1.02 A8 V
1.5 1.41094E+11 0.94 F1 V
1.25 1.28801E+11 0.86 F7 V
1.1 1.20826E+11 0.81 G0 V
1 1.15203E+11 0.77 G2 V (Sol)
0.9 1.09291E+11 0.73 G7 V
0.8 1.03041E+11 0.69 K1 V
0.7 96385703793 0.64 K3 V
0.6 89235821902 0.59 K5 V
0.5 81460787656 0.54 K7 V
0.4 72860743480 0.49 K8 V
0.3 63099254792 0.42 M0 V
0.2 51520325797 0.34 M4 V
0.1 36430371740 0.24 M5 V
0.08 32584315062 0.22 M9 V</pre>[/QUOTE]For Jupiter masses (Brown dwarfs, superjovians, and LGGs):
</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">Jupiter limit/metres limit/AU
masses
70 29774421720 0.20 Largest BD
60 27565758087 0.18
50 25163979198 0.17
40 22507347229 0.15
30 19491934472 0.13
20 15915097852 0.11
10 11253673614 0.08 Smallest BD
5 7957548926 0.05
2 5032795840 0.03
1 3558724067 0.02 Jupiter</pre>[/QUOTE]For Earth masses (SGGs, large terrestrials):
</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">Earth limit/metres limit/AU
masses
100 1996577120 0.01331 Saturn
50 1411793221 0.00941
25 998288560.2 0.00666
15 773270993.7 0.00516 Uranus/Neptune
10 631373122.5 0.00421
9 598973136.1 0.00399
8 564717288.4 0.00376
7 528244653.4 0.00352
6 489059517.7 0.00326
5 446448216.4 0.00298
4 399315424.1 0.00266
3 345817301.4 0.00231
2 282358644.2 0.00188
1 199657712 0.00133 Earth</pre>[/QUOTE]For Earth masses (small terrestrials):
</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">Earth limit/metres limit/km
masses
0.8 178579286.5 178579 Venus
0.5 141179322.1 141179
0.4 126274624.5 126275
0.3 109357032.7 109357
0.2 89289643.27 89290
0.1 63137312.25 63137 Mars
0.05 44644821.64 44645 Mercury
0.01 19965771.2 19966 Moon</pre>[/QUOTE]EDIT: Added some explanation
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