New central configurations of the (n+1)-body problem

Antonio Carlos Fernandes, Braulio Augusto Garcia, Jaume Llibre, Luis Fernando Mello

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

© 2017 Elsevier B.V. In this article we study central configurations of the (n+1)-body problem. For the planar (n+1)-body problem we study central configurations performed by n≥2 bodies with equal masses at the vertices of a regular n-gon and one body with null mass. We also study spatial central configurations considering n bodies with equal masses at the vertices of a regular polyhedron and one body with null mass.
Original languageEnglish
Pages (from-to)199-207
JournalJournal of Geometry and Physics
Volume124
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • (n+1)-body problem
  • Celestial mechanics
  • Central configuration

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