Relative equilibria of a massive point on a uniformly rotating asteroid

Аннотация

The motion of a massive point (a bead) over the surface of a uniformly rotating asteroid is considered. It is assumed that the force of dry friction acts between the point and the asteroid surface. The sets of nonisolated positions of relative equilibrium of the bead on the asteroid are described, and their dependence on the parameters of the problem is investigated. The results are presented as bifurcation diagrams.