Created
July 8, 2011 17:19
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v = sqrt(G*m*(2/r - 2/(r1 + r2))) | |
v1 = sqrt(G*m*(2/r1 - 2/(r1 + r2))) | |
v2 = sqrt(G*m*(2/r2 - 2/(r1 + r2))) | |
v1^2/G = m*(2/r1 - 2/(r1 + r2)) | |
v1^2/G/(2/r1 - 2/(r1 + r2)) = m | |
130141 m 2129.0 m/s | |
43700 m, 2414.8 m/s | |
(2129.0 m/s)^2/G/(2/(600 km + 130141 m) - 2/(1200 km + 130141 m + 43700 m)) = 5.29e22 kg | |
(2414.8 m/s)^2/G/(2/(600 km + 43700 m) - 2/(1200 km + 130141 m + 43700 m)) = 5.29e22 kg | |
74277 m, 2309.5 m/s | |
91591 m, 2252.3 m/s | |
107387 m, 2200.8 m/s | |
111730 m, 2187.0 m/s | |
90127 m, 2257.0 m/s | |
66700 m, 2334.9 m/s | |
55091 m, 2375.1 m/s | |
(2309.5 m/s)^2/G/(2/(600 km + 74277 m) - 2/(1200 km + 130141 m + 43700 m)) = 5.29e22 kg | |
(2252.3 m/s)^2/G/(2/(600 km + 91591 m) - 2/(1200 km + 130141 m + 43700 m)) = | |
(2200.8 m/s)^2/G/(2/(600 km + 107387 m) - 2/(1200 km + 130141 m + 43700 m)) = | |
(2187.0 m/s)^2/G/(2/(600 km + 111730 m) - 2/(1200 km + 130141 m + 43700 m)) = 5.29e22 kg | |
(2257.0 m/s)^2/G/(2/(600 km + 90127 m) - 2/(1200 km + 130141 m + 43700 m)) = | |
(2334.9 m/s)^2/G/(2/(600 km + 66700 m) - 2/(1200 km + 130141 m + 43700 m)) = | |
(2375.1 m/s)^2/G/(2/(600 km + 55091 m) - 2/(1200 km + 130141 m + 43700 m)) = 5.29e22 kg | |
http://www.wolframalpha.com/input/?i=%282375.1+m%2Fs%29%5E2%2FG%2F%282%2F%28600+km+%2B+55091+m%29+-+2%2F%281200+km+%2B+130141+m+%2B+43700+m%29%29 | |
http://www.wolframalpha.com/input/?i=escape+velocity&a=*C.escape+velocity-_*Formula.dflt-&a=*FS-_**EscapeVelocity.v-.*EscapeVelocity.m-.*EscapeVelocity.r--&f3=600+km&f=EscapeVelocity.r_600+km&f4=5.29e22+kg&f=EscapeVelocity.m_5.29e22+kg | |
Vcirc at 50000.0 m: 2330.4066994014984 m/s | |
Vcirc at 100000.0 m: 2245.636085515957 m/s | |
Vcirc at 150000.0 m: 2169.490570003321 m/s | |
Vcirc at 200000.0 m: 2100.6002118442243 m/s | |
Vcirc at 250000.0 m: 2037.8815413243694 m/s | |
Vcirc at 300000.0 m: 1980.4648724759325 m/s | |
Vcirc at 350000.0 m: 1927.6429566756008 m/s | |
Vcirc at 400000.0 m: 1878.8339468936579 m/s | |
Vcirc at 450000.0 m: 1833.554185831701 m/s | |
Vcirc at 500000.0 m: 1791.3978797677426 m/s |
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