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Planar central configuration estimates in the n-body problem

Published online by Cambridge University Press:  14 October 2010

Christopher K. McCord
Christopher K. McCord
Affiliation:
Institute for Dynamics, Department of Mathematics, University of Cincinnati, Ohio, USA
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Abstract

For all masses, there are at least n − 2, O2-orbits of non-collinear planar central configurations. In particular, this estimate is valid even if the potential function is not a Morse function. If the potential function is a Morse function, then an improved lower bound, of the order of n! ln(n + 1/3)/2, can be given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 5 , October 1996 , pp. 1059 - 1070
Copyright
Copyright © Cambridge University Press 1996

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