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IssuesArchive of Issues2010-2pp.158-163

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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A.S. Zimovshikov and V.N. Tkhai, "Stability diagrams for a heterogeneous ensemble of particles at the collinear libration points of the photogravitational three-body problem," J. Appl. Math. Mech. 74 (2), 158-163 (2010)
Year 2010 Volume 74 Issue 2 Pages 158-163
Title Stability diagrams for a heterogeneous ensemble of particles at the collinear libration points of the photogravitational three-body problem
Author(s) A.S. Zimovshikov (Moscow, Russia)
V.N. Tkhai (Moscow, Russia, tkhaivn@yandex.ru)
Abstract The stability of the collinear libration points in the photogravitational elliptical three-body problem is investigated. The distribution of the inner collinear libration points located between the principal bodies in the system is revealed. A method of finding collinear libration points for particles with specified reduction coefficients is given. Stability diagrams are constructed for an entire heterogeneous ensemble of particles (cloud) at libration points, which, in particular, make it possible to trace cloud subdivision scenarios. The characteristics (the number of clusters, the diameter of each cluster and the distances to the components of a binary system) are determined for a binary star system similar to α-Centauri.
Received 9 December 2008
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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