 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 79, Issue 5 / 2015 | Next article >> |
| V.V. Sazonov and A.V. Troitskaya, "Periodic motions of a gyrostat satellite with a large gyrostatic moment about the centre of mass," J. Appl. Math. Mech. 79 (5), 416-425 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
5 |
Pages |
416-425 |
| DOI |
10.1016/j.jappmathmech.2016.03.001 |
| Title |
Periodic motions of a gyrostat satellite with a large gyrostatic moment about the centre of mass |
| Author(s) |
V.V. Sazonov (M.V. Keldysh Institute of Applied Mathematics, Moscow, Russia, sazonov@keldysh.ru)
A.V. Troitskaya (M.V. Keldysh Institute of Applied Mathematics, Moscow, Russia) |
| Abstract |
An axisymmetric gyrostat satellite, whose centre of mass moves in a fixed circular orbit about an attractive centre is considered. The satellite moves about the centre of mass under the action of the gravitational moment. Under the assumption that the gyrostatic moment of the satellite is large and is directed along its axis of symmetry, the periodic motions of this axis are investigated in a small vicinity of a fixed direction, lying in the orbital plane in absolute space. Such motions are described by a system of fourth-order differential equations with periodic coefficients that contains a large parameter. A theorem for the existence and uniqueness of a symmetric periodic solution of this system that has the required properties is proved using methods for constructing periodic solutions of differential equations with a large parameter. |
| Received |
25 November 2014 |
| Link to Fulltext |
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