 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Burov, "Poisson variations in the problem of the stability of equilibria in rigid body mechanics," J. Appl. Math. Mech. 74 (1), 68-75 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
1 |
Pages |
68-75 |
| Title |
Poisson variations in the problem of the stability of equilibria in rigid body mechanics |
| Author(s) |
A.A. Burov (Moscow, Russia, aburov@ccas.ru) |
| Abstract |
The existence and stability of equilibria in rigid body mechanics is considered. A class of variations is indicated which satisfy the analogue of Poisson's equations, suitable for use when investigating both the sufficient and necessary conditions for the stability of such equilibria and which, in particular, enable the invariance of the equations of motion of the system and their first integrals to be effectively used when the phase variables and parameters of the problem are interchanged. The result is illustrated using the example of the problem of the motion of a gyrostat far from attracting objects. |
| Received |
05 May 2009 |
| Link to Fulltext |
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