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<title>Four Reaction Wheels</title>
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<div align="center"> <img src="RW%20Control.GIF" alt="RW Control"
width="207" height="46">
<b><u><br>
</u></b>
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<div align="left"><b><u>Description<br>
</u></b><br>
An attitude maneuver via momentum transfer based on the conservation of<br>
angular momentum was simulated. In this project, 4 reaction wheels in
<br>
a pyramid configuration was used; this configuration provides redundancy
<br>
such that if one wheels become unable to operate for some reason, <br>
the other three reaction wheels can provide control torque in all three
direction. <br>
<br>
<img src="FourReactionWheel.GIF"
alt="Four Reaction wheels in a pyramid configuration" width="541"
height="399">
<br>
<br>
<b><u>Inputs<br>
</u></b><br>
<b>Ixx</b>,<b> Iyy, Izz</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Moments of inertia<br>
<b>J</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160;
Reaction wheel inertia<br>
<b> RW angle&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;</b> Tilt angle of reaction
wheel axis<br>
<b> psi</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Commanded
Euler angle<br>
<b> phi </b>&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160; Commanded
Euler angle<br>
<b> theta</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Commanded Euler
angle<br>
<br>
<b><u>Initial Condition</u></b><br>
<b>w1</b>, <b>w2, w3</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Spacecraft angular
velocities <br>
<b>q1, q2, q3, q4</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Quaternions<br>
<b>Omega1 </b>&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160; Angular velocity
of RW 1<br>
<b> Omega2</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Angular velocity
of RW 2<br>
<b> Omega3 </b>&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160; Angular velocity
of RW 3<br>
<b> Omega4</b> &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Angular velocity
of RW 4<br>
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