Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>Space</strong> <strong>Propulsion</strong><br />
Example 8: Limit-Cycle Operation<br />
A spacecraft with 112.5 kg.m 2 inertia uses 5N thruster pairs mounted at a radius of 0.5 m from<br />
the center of mass. For limit-cycle control to Θ L = 0.5 deg (0.008727 rad), what is the propellant<br />
consumption rate if I sp is 1900 m/s, the pulse duration is 30 ms, and there are no external<br />
torques. ?<br />
t<br />
4IvΘL<br />
4*112,5*0,008727<br />
= 2Pw<br />
+ = 0.06 +<br />
= 0,06 + 26,181 26,241 [ s]<br />
time for 1 cycle<br />
nFLP 2*5*0,5*0,030<br />
cy<br />
=<br />
w<br />
nFPw<br />
2*5* 0.03<br />
m<br />
p , cy<br />
= 2 = 2 = 0.00032 [ kg / cycle]<br />
= 0,32 [ g / cycle]<br />
propellant consumed per cycle<br />
I 1900<br />
sp<br />
• m<br />
p,<br />
cy 0,00032<br />
−5<br />
m<br />
p<br />
= = ≅ 1.2x10<br />
[ kg / s]<br />
= 1.037<br />
t 26,241<br />
cy<br />
[ kg / day]<br />
average propellant<br />
consumption rate