You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
2. Find speed of second planet V 2 =<br />
√<br />
µsun<br />
R 2<br />
3. Find V ∞ entering the second planet sphere of influence V ∞,in = V 2 − V apogree<br />
4. Find burn in radius where the satellite will be closest to the second planet. r bo = r 1 + alt 2<br />
5. Find burn out speed at second planet by solving the energy equation V 2<br />
bo<br />
2 − µ 2<br />
r bo<br />
6. Find impact parameter b on entry to second planet SOI b = r boV bo<br />
V ∞,in<br />
7. Find the required satellite speed around the second planet V sat =<br />
√<br />
µ2<br />
r bo<br />
8. Find ∆V 2 needed at planet two ∆V 2 = V sat − V bo<br />
9. Find e the eccentricity of the approaching hyperbola on second planet e =<br />
10. Find the angle with the path of planet two velocity vector η = arccos ( − 1 e<br />
11. Find the dusk-line angle for second planet θ = 2η − 180 0<br />
18.11 rendezvous orbits<br />
18.11.1 Two satellite, walking rendezvous using Hohmann transfer<br />
)<br />
√<br />
= V 2 ∞,in<br />
2<br />
− µ 2<br />
SOI 2<br />
for V bo<br />
1 + V 2 ∞ V 2<br />
bo r2 bo<br />
µ 2 2<br />
81