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arXiv · 2005.07487

The central configuration of the planar ($N$+1)-body problem with a regular $N$-polygon

Liang Ding·Jinlong Wei·Shiqing Zhang
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Abstract

For planar ($N$+1)-body ($N$\,$\geq$ 2) problem with a regular $N$-polygon, under the assumption that the ($N$+1)-th body locates at the geometric center of the regular $N$-polygon, we obtain the sufficient and necessary conditions that the $N$+1 bodies can form a central configuration.

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Liang Ding, Jinlong Wei, Shiqing Zhang. 2020-05-15. The central configuration of the planar ($N$+1)-body problem with a regular $N$-polygon. https://arxiv.org/abs/2005.07487

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