On clustering in central configurations-Reference-Cited by-同舟云学术

On clustering in central configurations

Published:1990 Issue:3 Volume:108 Page:801-810
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Buck Gregory

Abstract

Central configurations lead to special solutions of the n 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1990-108-03/S0002-9939-1990-0990414-7/S0002-9939-1990-0990414-7.pdf

Reference8 articles.

1. G. R. Hall, Central configurations of the 1+𝑁 body problem, preprint.

2. K. Meyer and D. Schmidt, Bifurcation of relative equilibria in the four and five body problem, preprint.

3. Relative equilibria of the four-body problem;Moeckel, Richard;Ergodic Theory Dynam. Systems,1985

4. On the role and the properties of 𝑛-body central configurations;Saari, Donald G.;Celestial Mech.,1980

5. D. Schmidt, Central configurations in 𝐑² and 𝐑³, preprint.

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