Stacked central configurations with a homogeneous potential in ℝ³

2022/05/07 by Liu, Yangshanshan, Zhang, Shiqing
#70F10 #70G10 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.03664

Abstract

In this paper we generalize some results in \citeYu2021 concerning stacked central configurations. We can deal with the general homogeneous potential U_α (containing the vortex case) in ℝ³. We give the admissible set of α for a convex central configuration (with respect to the Newtonian potential i.e. α=3). We discuss some properties of the regular n-gon co-circular central configurations. We also find that the stacked property is particular for central configurations by studying the S-balanced configuration case.

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