This article is cited in 4 papers

Nonholonomic Systems

Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid

A. P. Markeev

Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow 117526, Vernadsky ave. 101, Russia

Abstract: In this paper we investigate the problem of rolling of a sphere over a fixed horizontal plane; it is assumed that the sphere has a multiply connected cavity with an ideal fluid in vortex-free motion. We show that the solution of the problem can be reduced to quadrature.

MSC: 37J60

Language: English

DOI: 10.1070/RD2002v007n02ABEH000201

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