论文标题
对（n+1）体问题中的平面中央和平衡配置的数值分析，质量很小
A numerical analysis of planar central and balanced configurations in the (n+1)-body problem with a small mass
论文作者
论文摘要
提出了两种用于分析平面中央和平衡配置的数值算法（n+1）$ - 带有少量质量的身体问题。第一个依赖于$（n+1）$ - 身体问题的直接解决方案方法，通过使用随机优化方法，而第二种方法依赖于分析方法，该方法涉及$ n $ body的解决方案以及受限的$（n+1）$ - 身体问题，以及以countion $（n+1）的配置（n+1）的应用程序的应用程序，并应用了该搜索过程。在$ n = 4,5,6 $的情况下，一些示例性的中央和平衡配置。
Two numerical algorithms for analyzing planar central and balanced configurations in the $(n+1)$-body problem with a small mass are presented. The first one relies on a direct solution method of the $(n+1)$-body problem by using a stochastic optimization approach, while the second one relies on an analytic-continuation method, which involves the solutions of the $n$-body and the restricted $(n+1)$-body problem, and the application of a local search procedure to compute the final $(n+1)$-body configuration in the neighborhood of the configuration obtained at the first two steps. Some exemplary central and balanced configurations in the cases $n=4,5,6$ are shown.
