On the existence of bi-pyramidal central configurations of the n 2-body problem with an n-gon base
Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	In this paper we prove the existence of central configurations of the n + 2-body problem where n equal masses are located at the vertices of a regular n-gon and the remaining 2 masses, which are not necessarily equal, are located on the straight line orthogonal to the plane containing the n-gon passing through its center. Here this kind of central configurations is called bi-pyramidal central configurations. In particular, we prove that if the masses mn+1 and mn+2 and their positions satisfy convenient relations, then the configuration is central. We give explicitly those relations.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Spatial central configurations ; N + 2-body problem ; Bi-pyramidal central configurations
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 3 (2013) , p. 1049-1060, ISSN 1553-5231

DOI: 10.3934/dcds.2013.33.1049

Postprint 12 p, 376.4 KB

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