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IssuesArchive of Issues2021-8pp.1486-1499

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V.M. Morozov, V.I. Kalenova, and M.G. Rak, "On the Stabilization of the Regular Precessions of Satellites by Means of Magnetic Moments," Mech. Solids. 56 (8), 1486-1499 (2021)
Year 2021 Volume 56 Number 8 Pages 1486-1499
DOI 10.3103/S0025654421080136
Title On the Stabilization of the Regular Precessions of Satellites by Means of Magnetic Moments
Author(s) V.M. Morozov (Institute of Mechanics, Moscow State University, Moscow, 119192 Russia, moroz@imec.msu.ru)
V.I. Kalenova (Institute of Mechanics, Moscow State University, Moscow, 119192 Russia, kalenova44@mail.ru)
M.G. Rak (Moscow State University, Moscow, 119991 Russia)
Abstract The stabilization of the regular precessions of a dynamically symmetric satellite, whose center of mass moves in a circular orbit in the gravitational and magnetic fields of the Earth, is considered. Control moments are formed due to the interaction of the satellite’s own dipole moment with the Earth’s magnetic field. The equations of motion linearized in the vicinity of regular precessions are linear time-varying systems. To solve stabilization problems, an approach is proposed and developed based on a reduction to time invariant systems of orders greater than the initial system. The controlla- bility is investigated and effective stabilization algorithms are constructed.
Keywords stabilization, regular precession, linear time-varying system, reducibility, controllability, stabilization algorithms
Received 08 February 2021Revised 25 February 2021Accepted 03 March 2021
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