(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An axis-symmetric satellite is freely spinning in the space. The moments of inertia and the angular velocity at t=0 are as follows:

I_{x}=200kgm^{2}

I_{y}=I_{z}=100kgm^{2}

w_{x}=10rad/sec

w_{y}=1rad/sec

w_{z}=0

(a) Calculate the angular momentum of the satellite

(b) What is the nutation frequency observed in the body-fixed frame?

(c) Sketch the space cone and the body cone.

(d) Calculate the time required for the body cone to make a revolution around the space cone.

2. Relevant equations

3. The attempt at a solution

ƩM=ΩχH

H_{x}=I_{xx}w_{x}

H_{y}=I_{yy}w_{y}

H_{z}=I_{zz}w_{z}

I am not sure about how to deal with nutation frequency and the space/body cones

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# An axis-symmetric satellite is freely spinning in the space.

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