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Science in China Series A: Mathematics

, Volume 45, Issue 8, pp 1053–1058 | Cite as

Nested regular polygon solutions for planar 2N-body problems

  • Shiqing ZhangEmail author
  • Qing Zhou
Article

Abstract

In this paper we study the necessary conditions for the masses of the nested regular polygon solutions of the planar2N-body problem.We prove that the masses at the vertices of each regular polygon must be equal to each other

Keywords

2N-body problems nested regular polygon periodic solutions circulant matrices 

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Copyright information

© Science in China Press 2002

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Jiaotong UniversityShanghaiChina
  2. 2.Department of MathematicsYangzhou UniversityYangzhouChina
  3. 3.Department of MathematicsEast China Normal UniversityShanghaiChina

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