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- Title
Linear Invariant Relations for the Equations of Motion of a Gyrostat with a Variable Gyrostatic Moment.
- Authors
Shchetinina, O. K.; Denysenko, V. I.; Didenko, Yu. F.; Bilousova, S. V.
- Abstract
We consider the problem of motion of a gyrostat under the action of potential and gyroscopic forces in the case where its gyrostatic moment is variable. We analyze the conditions of existence of linear invariant relations for equations of the Kirchhoff–Poisson class. A new solution of these equations is obtained in terms of the elementary functions of time.
- Subjects
GYROSCOPES; EQUATIONS of motion; POISSON'S equation; EQUATIONS
- Publication
Journal of Mathematical Sciences, 2023, Vol 274, Issue 6, p923
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06653-1