Abstract
A viscous ring damper for removing the wobble motion of a spin-stabilized satellite is proposed and analyzed. The analysis is performed by studying the energy dissipation in an auxiliary problem of the motion of a viscous liquid in a tube whose boundaries perform harmonic motion. The energy dissipated per unit mass of the damper fluid is maximized in terms of a “wobble Reynolds number”. This maximization is experimentally verified. The decay of the cone angle of free precession is then obtained by the use of the “energy-sink-approximation”. The results of the theory are compared with those from a laboratory experiment.
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