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Space Propulsion - IAP/TU Wien

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

Example 7: Precession of Spin Axis<br />

What burn time, or pulse width, is required to precess a spacecraft spin axis by 3-deg (0.05236 rad)<br />

under the following conditions:<br />

Thrust 10 N<br />

Moment arm = 0.5 m<br />

Moment of inertia 112.5 kg.m2<br />

<strong>Space</strong>craft Spin rate 2 rpm (0.2094 rad/s)<br />

Specific impulse = 1900 m/s<br />

t<br />

ΦIvω<br />

=<br />

2nFL<br />

0.05236*112.5*0.2094<br />

2*1*10*0.5<br />

b<br />

=<br />

=<br />

0.124<br />

[ s]<br />

burn time of thruster to produce nutation<br />

angle Φ/2<br />

m<br />

nFtb<br />

2*1*10*0.124<br />

= 2 =<br />

= 0.0013 [ kg]<br />

1.3 [ g]<br />

total propellant consumed by both burns<br />

I 1900<br />

p<br />

=<br />

sp

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