Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
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<strong>Space</strong> <strong>Propulsion</strong><br />
Gravitational trajectories<br />
H = r ×<br />
mV<br />
angular momentum<br />
around point C<br />
d H<br />
dt<br />
⎛<br />
= m⎜<br />
⎝<br />
dr<br />
dt<br />
× V<br />
+ r ×<br />
dV<br />
dt<br />
⎞<br />
⎟<br />
= r × m<br />
⎠<br />
dV<br />
dt<br />
= r × F<br />
= M<br />
M … torque around C<br />
Assumption:<br />
Central force: F II r<br />
d H<br />
dt<br />
r × F = M = 0<br />
= M = 0<br />
H = mr × V =<br />
const.<br />
→ trajectory remains in same plane perp. to H