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Stability of expanding homographic configurations: 3D case

Published: 01 December 2005 Publication History

Abstract

Stability of expanding homographic configurations formed by bodies of equal masses placed at the vertices of regular polyhedrons is considered in linear approximation. Perturbations growing faster than the general expansion of the system are considered to be unstable. These instabilities are studied in detail. Different ways to visualize 3D structure of unstable modes are discussed.

References

[1]
Wintner, A. 1941, The analytical foundations of celestial mechanics, Princeton University Press, Princeton
[2]
Nezhinskij, E. M. 1972, Proc. of the Academy of Sciences of USSR, 206, 566 (in Russian)
[3]
Mylläri, A., 2004, Stability of Expanding Homographic Configurations, in Computer Algebra in Scientific Computing, CASC 2004, Editors: Ganzha, V. G., Mayr, E. W., Vorozhtsov, E. V., Institut fur Informatic, Technische Universität, Munchen, 367--370

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Published In

cover image ACM SIGSAM Bulletin
ACM SIGSAM Bulletin  Volume 39, Issue 4
December 2005
41 pages
ISSN:0163-5824
DOI:10.1145/1140378
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 December 2005
Published in SIGSAM Volume 39, Issue 4

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