This article is cited in 6 papers

On stability of regular precessions of a non-symmetric gyroscope

A. P. Markeev

Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow 119526, Vernadsky ave. 101, Russia

Abstract: We consider the motion of a rigid body around a fixed point in homogeneous gravity field. The body is not dynamically symmetric and the center of gravity is situated on the straight line passing through the fixed point perpendicular to circular cross-sections of inertia ellipsoid. In 1947, G.Grioli proved that the body with such geometry of mass can be in a state of regular precession around of a nonvertical axis. In this paper we study the stability of this precession.

MSC: 34K20, 70E17

Received: 05.05.2003

Language: English

DOI: 10.1070/RD2003v008n03ABEH000245

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