Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-3pp.229-236

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In Russian (ΟΜΜ): 9723
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V.I. Nikonov, "The existence and stability of steady configurations in the problem of the motion of a wire triangle and a point mass under the mutual attraction," J. Appl. Math. Mech. 79 (3), 229-236 (2015)
Year 2015 Volume 79 Issue 3 Pages 229-236
DOI 10.1016/j.jappmathmech.2015.09.003
Title The existence and stability of steady configurations in the problem of the motion of a wire triangle and a point mass under the mutual attraction
Author(s) V.I. Nikonov (Lomonosov Moscow University, Moscow, Russia, nikon_v@list.ru)
Abstract The plane problem of the motion of a triangle, the mass of which is distributed along its sides and a point mass under the mutual attraction is investigated. The steady rotating configurations of such a system are found and the conditions for their stability and bifurcation are investigated. Configurations for which the particle is sufficiently removed from the triangle and located on the axis of symmetry opposite a vertex are found to be stable.
Received 21 January 2014
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