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 />
Kinetics for rotational motion of S/C<br />
Linear analogon<br />
torque, produced by n thrusters, mounted at torque arm L,<br />
firing with equal thrust F<br />
T = nFL<br />
F<br />
during the burn, the angular acceleration of the spacecraft is<br />
α =<br />
nFL<br />
I v<br />
a =<br />
F<br />
m<br />
at shut down, the vehicle will have turned by 2<br />
nFLtb<br />
2<br />
at shutdown, the spacecraft is left rotating at angular velocity<br />
Θ =<br />
ω =<br />
2I<br />
v<br />
v<br />
nFL<br />
I<br />
t<br />
b<br />
a<br />
s =<br />
2 t<br />
v = a.<br />
t<br />
angular momentum produced by a single firing is p =<br />
H = Tt b<br />
∫ Fdt<br />
propellant consumed during the burn is<br />
nFt<br />
b<br />
m<br />
p<br />
= =<br />
I<br />
sp<br />
H<br />
LI<br />
sp<br />
•<br />
= F m<br />
I sp<br />
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