Nested regular polygon solutions for planar 2N-body problems

Shiqing Zhang*, Qing Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper we study the necessary conditions for the masses of the nested regular polygon solutions of the planar 2N-body problem.We prove that the masses at the vertices of each regular polygon must be equal to each other.

Original languageEnglish
Pages (from-to)1053-1058
Number of pages6
JournalScience in China, Series A: Mathematics
Volume45
Issue number8
DOIs
StatePublished - Aug 2002

Keywords

  • 2N-body problems
  • Circulant matrices
  • Nested regular polygon periodic solutions

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