Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2013-2pp.190-194

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A.V. Maznev, "A class of three invariant relations for the equations of motion of a gyrostat with a variable gyrostatic moment," J. Appl. Math. Mech. 77 (2), 190-194 (2013)
Year 2013 Volume 77 Issue 2 Pages 190-194
Title A class of three invariant relations for the equations of motion of a gyrostat with a variable gyrostatic moment
Author(s) A.V. Maznev (Donetsk, Russia, maznev_av@rambler.ru)
Abstract The motion of a dynamically symmetrical gyrostat under the action of potential and gyroscopic forces with a variable gyrostatic moment, which can be described by generalized equations of the Kirchhoff-Poisson class, is considered. The conditions for the existence of three linear invariant relations of a special type are obtained, and new solutions of the equations of motion, expressed either in the form of elementary functions or elliptic functions of time, are obtained.
Received 04 May 2011
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