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

2020/05/15 by Ding, Liang, Wei, Jinlong, Zhang, Shiqing
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.07487

Abstract

For planar (N+1)-body (N ≥ 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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