Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is ū = 1.161+0.58b2+0.5b3 and the angular acceleration of the spacecraft relative to Earth is a = 0.04b1 +0.11b2+0.26b3. What is the moment being applied on the spacecraft in the Assume the moment of inertia of the spacecraft is given by: [ 5000 0.0 0.0 [I°] = kg.m2 0.0 10000 0.0 %3| 0.0 13000 Note b1, b2, bz3 are unit vectors fixed in the spacecraft reference frame.

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Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft
relative to Earth is ū = 1.161+0.58b2+0.5b3 and the angular acceleration of the spacecraft relative
to Earth is a = 0.04b1 +0.11b2+0.26b3. What is the moment being applied on the spacecraft in the
b2.
Assume the moment of inertia of the spacecraft is given by:
5000
0.0
0.0
[I°] =
kg.m2
0.0
10000
0.0
0.0
13000
Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
Transcribed Image Text:Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is ū = 1.161+0.58b2+0.5b3 and the angular acceleration of the spacecraft relative to Earth is a = 0.04b1 +0.11b2+0.26b3. What is the moment being applied on the spacecraft in the b2. Assume the moment of inertia of the spacecraft is given by: 5000 0.0 0.0 [I°] = kg.m2 0.0 10000 0.0 0.0 13000 Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
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