On the existence of central configurations of p nested n-gons

Montserrat Corbera, Joaquin Delgado, Jaume Llibre

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12 Citations (Scopus)

Abstract

In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.
Original languageEnglish
Pages (from-to)255-265
JournalQualitative Theory of Dynamical Systems
Volume8
Issue number2
DOIs
Publication statusPublished - 1 Jan 2009

Keywords

  • Nested regular n-gons
  • Planar central configurations

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