论文标题
一种随机优化算法，用于分析$ n $ body问题中的平面中央和平衡配置
A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem
论文作者
论文摘要
提出了用于分析平面中央和平衡配置的随机优化算法。我们找到了一份全面的质量中央配置列表，满足莫尔斯平等的最高$ n = 12 $。在情况下，我们显示了一些示例性平衡配置，以及一些平衡的配置，而没有任何对称轴，在情况下$ n = 4 $和$ n = 10 $。
A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem is presented. We find a comprehensive list of equal mass central configurations satisfying the Morse equality up to $n=12$. We show some exemplary balanced configurations in the case $n=5$, as well as some balanced configurations without any axis of symmetry in the cases $n=4$ and $n=10$.
