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On the Stability of Homographic N-body Configurations

Published online by Cambridge University Press:  12 April 2016

A. A. Mylläri
A. A. Mylläri*
Affiliation:
Tuorla Observatory, University of Turku; Department of Mathematics, Petrozavodsk State University

Abstract

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Stability of expanding homographic configurations formed by an even number of bodies of equal mass and placed at the vertices of regular polygons and polyhedrons is studied. It is shown that for every configuration considered, there is always an unstable perturbation that divides the system into pairs of bodies.

Type
Part 5. Dark Matter and Clustering
Information
International Astronomical Union Colloquium , Volume 174: Small Galaxy Groups , 2000 , pp. 453 - 456
Copyright
Copyright © Astronomical Society of the Pacific 2000

References

Mikkola, S. and Aarseth, S.J. 1993, Celestial Mechanics 57, 439.Google Scholar
Nezhinskij, E.M. 1972, Proc. of the Academy of Sciences of USSR, 206, 566 (in Russian)Google Scholar
Peebles, P.J.E. 1980, The Large-Scale Structure of the Universe, Princeton University Press, Princeton Google Scholar
Sutherland, W., and Efstathiou, G. 1991 MNRAS, 248, 159 Google Scholar
Wintner, A. 1941, The analytical foundations of celestial mechanics, Princeton University Press, Princeton Google Scholar