Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 6, Pages 37–41 (Mi vmumm280)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics

An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction

E. I. Kugushev, V. I. Nikonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (308 kB) Citations (2)
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Abstract: We study the problem of the planar motion of a rigid body with a discrete mass distribution and a material point under the action of mutual attraction. There are exist stationary configurations of the system when the mass of the point is negligible and the body rotates about its center of gravity with a non-zero angular velocity and when the body and the material point are in interaction. It is shown that in such systems there are always at least two different positions of relative equilibrium.
Key words: gravitating systems, relative equilibria.
Funding agency Grant number
Russian Foundation for Basic Research 12-08-00591
12-01-00441
Received: 27.10.2014
English version:
Moscow University Mechanics Bulletin, 2015, Volume 70, Issue 6, Pages 144–148
DOI: https://doi.org/10.3103/S0027133015060023
Bibliographic databases:
Document Type: Article
UDC: 531.5
Language: Russian
Citation: E. I. Kugushev, V. I. Nikonov, “An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 37–41; Moscow University Mechanics Bulletin, 70:6 (2015), 144–148
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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