On clustering in central configurations
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- by Gregory Buck PDF
- Proc. Amer. Math. Soc. 108 (1990), 801-810 Request permission
Abstract:
Central configurations lead to special solutions of the $n$-body problem. In this paper we present a geometric condition that all central configurations must satisfy: a central configuration cannot have too much ’clustering’-they are bounded away from the diagonal in configuration space. An explicit bound is given.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 801-810
- MSC: Primary 70F15; Secondary 58F05, 58F14
- DOI: https://doi.org/10.1090/S0002-9939-1990-0990414-7
- MathSciNet review: 990414