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Stability of expanding homographic configurations: 3D case

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Published:01 December 2005Publication History
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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

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  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--370Google ScholarGoogle Scholar

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  1. Stability of expanding homographic configurations: 3D case

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          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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          Copyright © 2005 Author

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 December 2005

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