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Nelin. Dinam., 2017, Volume 13, Number 2, Pages 243–256 (Mi nd563)  

This article is cited in 3 scientific papers (total in 3 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

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 16-01-00625


DOI: https://doi.org/10.20537/nd1702007

Full text: PDF file (424 kB)
References: PDF file   HTML file

UDC: 531.5
MSC: 70K20, 70K42, 70F05
Received: 15.03.2017
Accepted:02.06.2017

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{http://elibrary.ru/item.asp?id=29443380}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Burov, A. D. German, E. A. Raspopova, V. I. Nikonov, “O primenenii $K$-srednikh dlya opredeleniya raspredeleniya mass ganteleobraznykh nebesnykh tel”, Nelineinaya dinam., 14:1 (2018), 45–52  mathnet  crossref  elib
    2. A. A. Burov, A. D. Guerman, V. I. Nikonov, “Equilibria in the gravitational field of a triangular body”, Celest. Mech. Dyn. Astron., 130:9 (2018), UNSP 58  crossref  mathscinet  isi  scopus
    3. A. A. Burov, A. D. Guerman, I. V. Nikonov, “Collocation of equilibria in gravitational field of triangular body via mass redistribution”, Acta Astronaut., 146 (2018), 181–184  crossref  isi  scopus
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