Relative equilibria of a massive point on a uniformly rotating asteroid


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Abstract

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.

About the authors

A. A. Burov

Computer Center; Higher School of Economics (National Research University)

Author for correspondence.
Email: jtm@narod.ru
Russian Federation, Moscow, 117967; Moscow, 101000

I. I. Kosenko

Moscow State University; Moscow Institute of Aviation (National Research Center)

Email: jtm@narod.ru
Russian Federation, Moscow, 117234; Moscow, 125080

E. S. Shalimova

Institute of Mechanics

Email: jtm@narod.ru
Russian Federation, Moscow, 117192

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