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Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid

Regular and Chaotic Dynamics, ISSN: 1468-4845, Vol: 27, Issue: 6, Page: 587-612
2022
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Metric Options:   Counts1 Year3 Year

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  • Citations
    5
    • Citation Indexes
      5

Article Description

This paper is concerned with the study of permanent rotations of a rigid body rolling without slipping on a horizontal plane(i. e., the velocity of the point of contact of the ellipsoid with the plane iszero). By permanent rotations we will mean motions of a rigid body on a horizontal plane such that the angularvelocity of the body remains constant and the point of contact does not change its position.A more detailed analysis is made of permanent rotations of an omnirotational ellipsoid whose characteristicfeature is the possibility of permanent rotations about any point of its surface.

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