Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 2, Pages 45–51 (Mi vmumm308)  
This article is cited in 8 scientific papers (total in 8 papers)

Mechanics

Relative equilibria in the motion of a triangle and a point under mutual attraction

V. I. Nikonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (374 kB) Citations (8)
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Abstract: The planar motion of a massive triangle and a point under the action of mutual Newtonian attraction is considered. The steady-state configurations are found and the sufficient conditions of their stability are studied. The applicability of barycentric coordinates are discussed for such problems.
Key words: generalized two-bodies problem, relative equilibria, stability, Poincare's bifurcation diagrams, Smale's bifurcation diagrams, feasible motion regions, barycentric coordinates.
Received: 20.02.2013
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 2, Pages 44–50
DOI: https://doi.org/10.3103/S0027133014020034
Bibliographic databases:
Document Type: Article
UDC: 531.5
Language: Russian
Citation: V. I. Nikonov, “Relative equilibria in the motion of a triangle and a point under mutual attraction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2, 45–51; Moscow University Mechanics Bulletin, 69:2 (2014), 44–50
Citation in format AMSBIB
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\by V.~I.~Nikonov
\paper Relative equilibria in the motion of a triangle and a point under mutual attraction
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 2
\pages 45--51
\mathnet{http://mi.mathnet.ru/vmumm308}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 2
\pages 44--50
\crossref{https://doi.org/10.3103/S0027133014020034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902962064}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:42
     
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