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Space Propulsion - IAP/TU Wien

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eaction wheel, cont’d<br />

<strong>Space</strong> <strong>Propulsion</strong><br />

total angular momentum of a fully loaded wheel is<br />

H<br />

=<br />

I w<br />

ω<br />

w<br />

, max<br />

to unolad the wheel, a torque in the opposite direction must be<br />

applied to it by the motor for a certain time; in order not to<br />

produce net rotation of the S/C, an equal and opposite<br />

momentum must be supplied by the thrusters:<br />

H = Tt =<br />

nFLt<br />

time required for unloading is<br />

t<br />

=<br />

H<br />

nFL<br />

=<br />

I<br />

w<br />

ω<br />

w,<br />

nFL<br />

max<br />

propellant consumption for unloading is<br />

m<br />

p<br />

nF.<br />

t<br />

= .<br />

I<br />

sp<br />

L<br />

L<br />

=<br />

I<br />

wωw<br />

LI<br />

sp<br />

cont’d

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