Abstract
The problem of the motion of an unconstrained rigid body with a spherical inertia tensor in a Newtonian force field is considered. Stationary motions are determined for the homogeneous bodies of simplest form (a cube, cone, and cylinder) and their stability is investigated. The motions determined and their stability are in full agreement with the analogous results obtained in /1/ for the stationary motions of bodies clamped at the centre of mass.
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