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On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base
Corbera Subirana, Montserrat; Llibre, Jaume
Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals
Abstract. In this paper we prove the existence of central con gurations 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 con gurations is called bi{pyramidal central con gurations. In particular, we prove that if the masses mn+1 and mn+2 and their positions satisfy convenient relations, then the con guration is central. We give explicitly those relations.
2013
Matemàtica
(c) American Institute of Mathematical Science
Tots els drets reservats
12 p.
Article
American Institute of Mathematical Science
         

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