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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, Volume 7, Issue 3, Pages 539–551
DOI: https://doi.org/10.21638/spbu01.2020.316
(Mi vspua177)
 

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

The effect of nonuniformity of the Earth's magnetic field on dynamics of electrodynamic space tether system

A. P. Deriglazov, A. A. Tikhonov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Abstract: An electrodynamic space tether system in a circular equatorial orbit under conditions of nonuniformity of the Earth's magnetic field is considered. The dynamic equations of motion are analyzed to search for equilibrium modes of motion. The oblique equilibrium position of the tether in the orbit plane is found. The stability of the found equilibrium is investigated in linear approximation. The results of numerical modeling are presented.
Keywords: electrodynamic tether system, stability, geomagnetic field, space debris.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00146-a
The work is supported by Russian Foundation for Basic Research (grant no. 19-01-00146-a).
Received: 04.12.2019
Revised: 25.12.2019
Accepted: 19.03.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2020, Volume 7, Issue 3, Pages 366–375
DOI: https://doi.org/10.1134/S106345412003005X
Document Type: Article
UDC: 517.93:531.391.3
MSC: 70J25, 70K40
Language: Russian
Citation: A. P. Deriglazov, A. A. Tikhonov, “The effect of nonuniformity of the Earth's magnetic field on dynamics of electrodynamic space tether system”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020), 539–551; Vestn. St. Petersbg. Univ., Math., 7:3 (2020), 366–375
Citation in format AMSBIB
\Bibitem{DerTik20}
\by A.~P.~Deriglazov, A.~A.~Tikhonov
\paper The effect of nonuniformity of the Earth's magnetic field on dynamics of electrodynamic space tether system
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2020
\vol 7
\issue 3
\pages 539--551
\mathnet{http://mi.mathnet.ru/vspua177}
\crossref{https://doi.org/10.21638/spbu01.2020.316}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2020
\vol 7
\issue 3
\pages 366--375
\crossref{https://doi.org/10.1134/S106345412003005X}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
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