Triple and quadruple nested central configurations for the planar n-body problem

Jaume Llibre, Luis Fernando Mello

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Resum

In this paper we show the existence of families of triple or quadruple nested planar central configurations for the n-body problem with n = 6, 8, 9. More precisely for n = 6 we nested three 2-collinear central configurations, for n = 8 we nested four 2-collinear central configurations and for n = 9 we nested three equilateral triangular central configurations. As far as we know these are the first examples of planar triple and quadruple nested central configurations. © 2008 Elsevier B.V. All rights reserved.
Idioma originalEnglish
Pàgines (de-a)563-571
RevistaPhysica D: Nonlinear Phenomena
Volum238
DOIs
Estat de la publicacióPublicada - 15 de març 2009

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