Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 2, Pages 243–256
DOI: https://doi.org/10.20537/nd1702007 (Mi nd563) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Original papers

On the gravity of dumbbell-like bodies represented by a pair of intersecting balls

A. A. Burovab, A. D. Guermanc, I. I. Kosenkodb, V. I. Nikonovb

a National Research University «Higher School of Economics», ul. Myasnitskaya 20, Moscow, 101000, Russia
b Federal Research Center «Computer Science and Control», ul. Vavilova 40, Moscow, 119333, Russia
c Centre for Aerospace Science and Technologies, University of Beira Interior, Convento de Sto. António. 6201-001 Covilhã, Portugal
d Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993, Russia
Full-text PDF (424 kB) Citations (8)
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DOI: https://doi.org/10.20537/nd1702007
Abstract: The problem of the motion of a particle in the gravity field of a homogeneous dumbbell-like body composed of a pair of intersecting balls, whose radii are, in general, different, is studied. Approximation for the Newtonian potential of attraction is obtained. Relative equilibria and their properties are studied under the assumption of uniform rotation of the dumbbells.
Keywords: generalized planar two-bodies problem, asteroid-like systems, gravitating systems with irregular mass distribution, stability of steady motions, bifurcations of steady motions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00625à
Received: 15.03.2017
Accepted: 02.06.2017
Bibliographic databases:
Document Type: Article
UDC: 531.5
MSC: 70K20, 70K42, 70F05
Language: Russian
Citation: A. A. Burov, A. D. Guerman, I. I. Kosenko, V. I. Nikonov, “On the gravity of dumbbell-like bodies represented by a pair of intersecting balls”, Nelin. Dinam., 13:2 (2017), 243–256
Citation in format AMSBIB
\Bibitem{BurGueKos17}
\by A.~A.~Burov, A.~D.~Guerman, I.~I.~Kosenko, V.~I.~Nikonov
\paper On the gravity of dumbbell-like bodies represented by a pair of intersecting balls
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 2
\pages 243--256
\mathnet{http://mi.mathnet.ru/nd563}
\crossref{https://doi.org/10.20537/nd1702007}
\elib{https://elibrary.ru/item.asp?id=29443380}
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  • https://www.mathnet.ru/eng/nd/v13/i2/p243
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:51
     
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