Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 1, Pages 60–65 (Mi vmumm299)  
This article is cited in 1 scientific paper (total in 1 paper)

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Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit

A. V. Il'inskaya

Lomonosov Moscow State University, Institute of Mechanics
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Abstract: The stability problem for the relative equilibrium of a system in an orbit is considered. The system consists of two rigid bodies connected by a thin inextensible elastic rod. The stability problem for the steady motions is reduced to the minimization problem for the system's potential energy consisting of the potential energy of elastic, gravitational, and centrifugal forces.
Key words: stability, equilibrium positions, elastic rod, potential energy functional, mechanical system, orbit.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00371
Received: 10.10.2012
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 1, Pages 16–20
DOI: https://doi.org/10.3103/S0027133014010038
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. V. Il'inskaya, “Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 60–65; Moscow University Mechanics Bulletin, 69:1 (2014), 16–20
Citation in format AMSBIB
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\by A.~V.~Il'inskaya
\paper Relative equilibrium stability of a mechanical system with deformable elements in a circular orbit
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 1
\pages 60--65
\mathnet{http://mi.mathnet.ru/vmumm299}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 1
\pages 16--20
\crossref{https://doi.org/10.3103/S0027133014010038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896920909}
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    • This publication is cited in the following 1 articles:
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