Double-Antiprism Central Configurations of the 3n-Body Problem

Montserrat Corbera, Jaume Llibre

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1 Citation (Scopus)

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 ≠ 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. © 2012 Springer Basel AG.
Original languageEnglish
Pages (from-to)11-24
JournalQualitative Theory of Dynamical Systems
Volume12
Issue number1
DOIs
Publication statusPublished - 15 Apr 2013

Keywords

  • 3n-body problem
  • Double-antiprism central configurations
  • Spatial central configurations

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