Dynamics cheat sheet

2. Find speed of second planet V 2 =
√
µsun
R 2
3. Find V ∞ entering the second planet sphere of influence V ∞,in = V 2 − V apogree
4. Find burn in radius where the satellite will be closest to the second planet. r bo = r 1 + alt 2
5. Find burn out speed at second planet by solving the energy equation V 2
bo
2 − µ 2
r bo
6. Find impact parameter b on entry to second planet SOI b = r boV bo
V ∞,in
7. Find the required satellite speed around the second planet V sat =
√
µ2
r bo
8. Find ∆V 2 needed at planet two ∆V 2 = V sat − V bo
9. Find e the eccentricity of the approaching hyperbola on second planet e =
10. Find the angle with the path of planet two velocity vector η = arccos ( − 1 e
11. Find the dusk-line angle for second planet θ = 2η − 180 0
18.11 rendezvous orbits
18.11.1 Two satellite, walking rendezvous using Hohmann transfer
)
√
= V 2 ∞,in
2
− µ 2
SOI 2
for V bo
1 + V 2 ∞ V 2
bo r2 bo
µ 2 2
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