The elements of a reaction-wheel attitude-controlsystem for a spacecraft are shown in
Chapter 7, Problem 7/61(choose chapter or problem)
The elements of a reaction-wheel attitude-control system for a spacecraft are shown in the figure. Point G is the center of mass for the system of the spacecraft and wheels, and x, y, z are principal axes for the system. Each wheel has a mass m and a moment of inertia I about its own axis and spins with a relative angular velocity p in the direction indicated. The center of each wheel, which may be treated as a thin disk, is a distance b from G. If the spacecraft has angular velocity components \(\Omega_{x}, \Omega_{y}\), and \(\Omega_{z}\), determine the angular momentum \(\mathbf{H}_{G}\) of the three wheels as a unit.
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