Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 223, Pages 84–106
DOI: https://doi.org/10.36535/0233-6723-2023-223-84-106 (Mi into1158) 		 
Stabilization of stationary motions of a satellite near the center of mass in a geomagnetic field. IV

V. M. Morozov, V. I. Kalenova, M. G. Rak

Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2023-223-84-106
Abstract: In this paper, we consider problems of stabilization of stationary motions (equilibrium positions and regular precessions) of a satellite near the center of mass in gravitational and magnetic fields under the assumption that the center of mass moves in a circular orbit. Solutions for a number of problems of stabilizing stationary motions of a satellite with the help of magnetic systems are proposed. We present the results of mathematical modeling of the algorithms, which confirm the effectiveness of the developed methodology. This paper is the fourth part of the work. The first part is: Itogi Nauki i Tekhniki. Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. — 2023. — 220. — P. 71–85. The second part is: Itogi Nauki i Tekhniki. Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. — 2023. — 221. — P. 71–92. The third part is: Itogi Nauki i Tekhniki. Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. — 2023. — 222. — P. 42–63.
Keywords: linear nonstationary system, reducibility, stationary motions, linearized equations of satellite motions, stabilization, controllability, control algorithms.
Document Type: Article
UDC: 517.958; 629.7.052
MSC: 34Cxx, 70Cxx
Language: Russian
Citation: V. M. Morozov, V. I. Kalenova, M. G. Rak, “Stabilization of stationary motions of a satellite near the center of mass in a geomagnetic field. IV”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 84–106
Citation in format AMSBIB
\Bibitem{MorKalRak23}
\by V.~M.~Morozov, V.~I.~Kalenova, M.~G.~Rak
\paper Stabilization of stationary motions of a satellite near the center of mass in a~geomagnetic field. IV
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 223
\pages 84--106
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1158}
\crossref{https://doi.org/10.36535/0233-6723-2023-223-84-106}
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