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Nested regular polygon solutions for planar 2N-body problems

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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

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiaotong University, 200030, Shanghai, China

    Shiqing Zhang

  2. Department of Mathematics, Yangzhou University, 225009, Yangzhou, China

    Shiqing Zhang

  3. Department of Mathematics, East China Normal University, 200062, Shanghai, China

    Qing Zhou

Authors
  1. Shiqing Zhang
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  2. Qing Zhou
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Correspondence to Shiqing Zhang.

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Zhang, S., Zhou, Q. Nested regular polygon solutions for planar 2N-body problems. Sci. China Ser. A-Math. 45, 1053–1058 (2002). https://doi.org/10.1007/BF02879988

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  • DOI: https://doi.org/10.1007/BF02879988

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