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New central configurations for the planar 7-body problem
Authors:Jaume Llibre  Luis Fernando Mello
Affiliation:1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain;2. Instituto de Ciências Exatas, Universidade Federal de Itajubá CEP 37.500-903, Itajubá, MG, Brazil
Abstract:In this paper we study numerically the existence of families of planar central configurations for the 7-body problem with the following properties: five bodies are on the vertices of a regular pentagon and the other two bodies are symmetrically positioned in the interior of the pentagon.
Keywords:
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