论文标题
在$ \ mathbb {r}^3 $中堆叠具有同质潜力的中央配置
Stacked central configurations with a homogeneous potential in $\mathbb{R}^3$
论文作者
论文摘要
在本文中，我们将一些结果概括为\ cite {yu2021}，涉及堆叠的中心配置。我们可以在$ \ mathbb {r}^3 $中处理一般的均质潜在$u_α$（包含Vortex案例）。我们为凸中央配置提供了可允许的$α$（关于牛顿电位，即$α= 3 $）。我们讨论了常规$ n $ -gon共圆中央配置的一些属性。我们还发现，通过研究S均衡配置案例，堆叠的属性是针对中心配置的。
In this paper we generalize some results in \cite{Yu2021} concerning stacked central configurations. We can deal with the general homogeneous potential $U_α$ (containing the vortex case) in $\mathbb{R}^3$. 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.
