Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 4, Pages 671–696 (Mi nd414)  
This article is cited in 1 scientific paper (total in 1 paper)

Small plane oscillations of satellite in an weakly elliptical orbit

Pavel S. Krasilnikov

Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe st. 4, Moscow, 125871, Russia
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Abstract: The equation of plane nonlinear oscillations of satellite in an weakly elliptical orbit is investigated. Suppose, that equation of motion contains two small parameters. Various kinds of procedure which reduce the equation to one small parameter case are investigated. Lacks of such procedure are described. New resonance effects of satellite's rotation are described with the help of the generalized averaging method with independent small parameters.
Keywords: independent parameters, average, small oscillations, reductions.
Received: 23.04.2013
Revised: 05.09.2013
Document Type: Article
UDC: 531.36:534.1
MSC: 34M10, 70K65
Language: Russian
Citation: Pavel S. Krasilnikov, “Small plane oscillations of satellite in an weakly elliptical orbit”, Nelin. Dinam., 9:4 (2013), 671–696
Citation in format AMSBIB
\Bibitem{Kra13}
\by Pavel~S.~Krasilnikov
\paper Small plane oscillations of satellite in an weakly elliptical orbit
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 4
\pages 671--696
\mathnet{http://mi.mathnet.ru/nd414}
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  • https://www.mathnet.ru/eng/nd/v9/i4/p671
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