Abstract: In this paper, the properties of the relative periodic motions of a rigid body suspended on an elastic string in a vertical plane are considered. The supported point of this pendulum moves on an elliptic path with the rigid ...

Abstract: In this paper, a nonsymmetric rigid body rotating around a fixed point under the action of a central Newtonian field of force exerted by three centers of attraction is considered. The angular momentum principle is applied ...

Abstract: The rotational motion of a heavy solid about a fixed point in the presence of a gyrostatic moment vector is investigated in this paper. It is supposed that the body is rapidly spinning about the major or the minor principle ...