The satellite has a mass of 100 kg and radii of gyration about its axis of symmetry (z axis) and its transverse axes (x or y axis) of k_z = 300 mm and k_x = k_y = 900 mm, respectively. If the satellite spins about the z axis at a constant rate of ψ̇ = 200 rad/s, and precesses about the Z axis, determine the precession ϕ̇ and the magnitude of its angular momentum HG.

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Z = 200 rad/s X Z 15° -y