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<p>Examples are given of solutions of the planar <i>N</i>-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of <i>N</i> achieved up to now with this property is 474, a number which had been announced in the first author’s thesis.</p>

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Really perverse periodic solutions of the planar N-body problem

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • Dominique Bang,
  • Alain Chenciner,
  • Carles Simó

摘要

Examples are given of solutions of the planar N-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of N achieved up to now with this property is 474, a number which had been announced in the first author’s thesis.