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First integrals of the equations of motion of a symmetric gyrostat on a perfectly rough plane

✍ Scribed by A.S. Kuleshov

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 166 KB
Volume: 70
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2006.03.012

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✦ Synopsis

The problem of the motion of a dynamically symmetric gyrostat without slipping on a fixed horizontal plane is investigated. When the surface of the gyrostat and the distribution of the masses in it satisfy a certain condition, supplementing and developing the results obtained by Mushtari [Mushtari KhM. The rolling of a heavy solid of revolution on a fixed horizontal plane. Mat Sbornik 1932; 39(1, 2):105-26], an explicit form of two first integrals of the equations of motion of the gyrostat, in addition to the energy integral, is presented.

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