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Variational methods for the choreography solution to the three- body problem

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Abstract

In this paper, we give a short proof for the existence of nontrivial choreography solution to the equal-mass three-body problem, which is discovered by Chenciner and Montgomery recently.

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References

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Authors and Affiliations

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

    Shiqing Zhang

  2. Department of Mathematics, Chongqing University, 400044, Chongqing, 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. Variational methods for the choreography solution to the three- body problem. Sci. China Ser. A-Math. 45, 594–597 (2002). https://doi.org/10.1360/02ys9063

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  • DOI: https://doi.org/10.1360/02ys9063

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