Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
791234 | Journal of Applied Mathematics and Mechanics | 2013 | 5 Pages |
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. ©2013
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Authors
A.V. Maznev,