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For a rigid axisymmetric satellite, the mass moment of inertia about its long axis is 1000 kg$m2, and the moment of inertia about transverse axes through the center of mass is 5000 kg$m2. It is initially spinning about the minor principal body axis in torque-free motion at us ¼ 0.1 rad/s, with the angular velocity lined up with the angular momentum vector H0. A pair of thrusters exert an external impulsive torque on the satellite, causing an instantaneous change DH of angular momentum in the direction normal to H0, so that the new angular momentum is H1, at an angle of 20o to H0, as shown in the figure. How long does it take the satellite to precess ("cone") through an angle of 180o around H1?

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