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IssuesArchive of Issues2022-7pp.1644-1656

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N.I. Amel’kin, "On the Plane Resonant Rotations of a Satellite with a Spherical Damper in an Elliptical Orbit," Mech. Solids. 57 (7), 1644-1656 (2022)
Year 2022 Volume 57 Number 7 Pages 1644-1656
DOI 10.3103/S0025654422070044
Title On the Plane Resonant Rotations of a Satellite with a Spherical Damper in an Elliptical Orbit
Author(s) N.I. Amel’kin (Moscow Institute of Physics and Technology, Moscow, Russia, namelkin@mail.ru)
Abstract The influence of internal dissipative forces on rotational motion of a satellite in an elliptical orbit is studied in the context of the Lavrent’ev model. Evolution equations describing plane non-resonant rotations of the satellite are obtained. The conditions of existence and stability of plane resonant rotations of the satellite are determined. An analytical solution describing plane resonant rotations of the satellite in an elliptical orbit is obtained.
Keywords satellite with spherical damper, elliptical orbit, evolution equations, plane resonant rotations, stability
Received 02 December 2021Revised 11 February 2022Accepted 15 February 2022
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