 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| S.A. Gutnik and V.A. Sarychev, "Dynamics of an axisymmetric gyrostat satellite. Equilibrium positions and their stability," J. Appl. Math. Mech. 78 (3), 249-257 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
3 |
Pages |
249-257 |
| Title |
Dynamics of an axisymmetric gyrostat satellite. Equilibrium positions and their stability |
| Author(s) |
S.A. Gutnik (Moscow, Russia, s.gutnik@inno.mgimo.ru)
V.A. Sarychev (Moscow, Russia) |
| Abstract |
The dynamics of an axisymmetric gyrostat satellite in a circular orbit in the central Newtonian force field is investigated. All the equilibrium positions of the gyrostat satellite in the orbital system of coordinates are determined, and the conditions for their existence are analysed. All the bifurcation values of the system parameters at which the number of equilibrium positions changes are found. It is shown that, depending on the values of the parameters of the problem, the number of equilibrium positions of a gyrostat satellite can be 8, 12 or 16. The evolution of regions where the sufficient conditions for stability of the equilibrium positions hold is investigated. |
| Received |
10 January 2013 |
| Link to Fulltext |
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