Double-antiprism central configurations of the 3n-body problem
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 study numerically a new type of central configurations of the 3n-body problem with equal masses which consist of three n-gons contained in three planes z = 0 and z = ±β 6= 0. The n-gon on z = 0 is scaled by a factor α and it is rotated by an angle of π/n with respect to the ones on z = ±β. In this kind of configurations, the masses on the planes z = 0 and z = β are at the vertices of an antiprism with bases of different size. The same occurs with the masses on z = 0 and z = −β. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Spatial central configurations ; 3n-body problem ; Double-antiprism central configurations
Published in:	Qualitative theory of dynamical systems, Vol. 12 (2013) , p. 11-24, ISSN 1662-3592

DOI: 10.1007/s12346-012-0076-y

Postprint 14 p, 382.5 KB

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