Abstract
The problem of the orbital stability of the translation-rotational motion of a rigid body in the shape of a circular disk above a fixed horizontal plane in a uniform gravitational field is solved. It is assumed that the plane is absolutely smooth, the disk is thin and homogeneous and the collision of the disk with the plane is absolutely elastic. In the non-perturbed motion the plane of the disk is vertical, the disk rotates with a constant angular velocity about the vertical or horizontal axis and its centre of gravity executes periodic oscillations along the fixed vertical as the result of the collisions.
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