Stacked central configurations: new examples in the planar five-body problem

Published 8 July 2005 • 2005 IOP Publishing Ltd and London Mathematical Society
, , Citation Marshall Hampton 2005 Nonlinearity 18 2299 DOI 10.1088/0951-7715/18/5/021

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1 Department of Mathematics, University of Minnesota, Minneapolis MN 55455, USA

Dates

  1. Received 30 January 2005
  2. Published

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0951-7715/18/5/2299

Abstract

The main result of this paper is the existence of a new family of planar five-body central configurations. This family is unusual in that it is a stacked central configuration, i.e. a subset of the points also form a central configuration, in this case, the Lagrange equilateral solution to the three-body problem.

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10.1088/0951-7715/18/5/021