Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 25–31 (Mi vmumm149)  
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics

Vibration points of rotating “compexified” triangle

D. V. Balandina, V. I. Nikonovba

a Institute of Informational Technologies, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Differences and similarities of force fields generated by a complex dipole and a “classical” one are discussed. Asymptotic behavior of the real potential of the complex dipole is studied. The results of comparison are applied to the problem of motion of a material point in the field of attraction of a triangle uniformly rotating in its plane about its center of mass. Each vertex of the triangle is assumed to be a complex dipole. The existence of libration points is studied and sufficient conditions of their stability are investigated.
Key words: complex dipole, gravitating systems, libration points.
Funding agency Grant number
Fund of competitive support of educational, scientific activity, academic mobility of students, graduate students and young scientific and pedagogical workers of Nizhny Novgorod State University
Russian Foundation for Basic Research 16-01-00625
Received: 08.12.2014
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 3, Pages 51–57
DOI: https://doi.org/10.3103/S0027133016030018
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: D. V. Balandin, V. I. Nikonov, “Vibration points of rotating “compexified” triangle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 25–31; Moscow University Mechanics Bulletin, 71:3 (2016), 51–57
Citation in format AMSBIB
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