Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2017-6pp.431-441

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In Russian (ΟΜΜ): 9713
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N.I. Amelkin and V.V. Kholoshchak, "Steady rotations of a satellite with internal elastic and dissipative forces," J. Appl. Math. Mech. 81 (6), 431-441 (2017)
Year 2017 Volume 81 Issue 6 Pages 431-441
DOI 10.1016/j.jappmathmech.2018.03.011
Title Steady rotations of a satellite with internal elastic and dissipative forces
Author(s) N.I. Amelkin (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia, namelkin@mail.ru)
V.V. Kholoshchak (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia, khoviktoriya@yandex.ru)
Abstract Lavrent'ev's model (a satellite is simulated by a rigid shell with a spherical damper) is used to study the effect of internal forces on the motion of a satellite in a central gravitational field assuming that both dissipative and elastic internal forces arise with relative displacements of the damper. All the steady rotations are determined within the framework of this model for a dynamically symmetric satellite in a circular orbit and their stability is investigated as a function of the values of the damping and stiffness coefficients.
Keywords rigid body; inertia tensor in a circular orbit; orbital plane; dissipative torque; gravitational torque
Received 19 January 2017
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