On strictly convex central configurations of the 2n-body problem

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Title:	On strictly convex central configurations of the 2n-body problem
Author:	Barrabés Vera, Esther; Cors Iglesias, Josep Maria
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted regular n-gons are strictly convex.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Many-body problem -Central configuration -Convex central configuration -n-Body problem -Twisted central configuration -Problema dels cossos múltiples -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
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Document type:	Article - Submitted version Article
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