Abstract
The stability of motion of a torque-free rigid body with a precession damper is investigated. The equations of motion are presented and non-dimensionalized, and the well-known conditions for asymptotic stability of the major axis spin are stated. Attention is given to the cases where these conditions are not met. Results of numerical integration are used to identify three distinct types of motion, including apparent limit cycle-like solutions. Bifurcation diagrams are used to argue that the apparent limit cycles are actually slowly approaching an equilibrium. The bifurcation diagrams also identify regions where the jump phenomenon may occur. The Liapunov-Schmidt reduction technique is used to obtain a simple analytical relationship between the
Published Version
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