Nonintegrability of the Suslov problem

In this paper we investigate the Suslov problem in the case when the vector of nonholonomic constraint coincides with the third principal axis of the body, and the fixed point of the body lies in the principal plane defined by the third and the first principal axes but is out of these axes. We calle...

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Bibliographic Details
Published in:Journal of mathematical physics 2004-03, Vol.45 (3), p.1065-1078
Main Authors: Maciejewski, Andrzej J., Przybylska, Maria
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Summary:In this paper we investigate the Suslov problem in the case when the vector of nonholonomic constraint coincides with the third principal axis of the body, and the fixed point of the body lies in the principal plane defined by the third and the first principal axes but is out of these axes. We called this version of the Suslov problem the generalized Kozlov case, and we prove that in this case a third real meromorphic first integral functionally independent together with the energy and geometrical integrals does not exist.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1644324