论文标题
针对平面三体问题的定期轨道的新家族以高精度计算
New families of periodic orbits for the planar three-body problem computed with high precision
论文作者
论文摘要
在本文中，我们根据牛顿方法的连续类似物和高精度算术使用了修改后的牛顿方法，用于对平面三体问题的周期性轨道进行一般数值搜索。我们认为相对较短的时期和相对粗糙的搜索网格。结果，我们发现了属于105个新拓扑家族的123个定期解决方案，这些解决方案未包含在[科学中国物理学，力学和天文学60.12（2017）]中。通过使用计算集群中许多核心对许多独立任务的平行解决，可以实现广泛的数值搜索。
In this paper we use a Modified Newton's method based on the Continuous analog of Newton's method and high precision arithmetic for a general numerical search of periodic orbits for the planar three-body problem. We consider relatively short periods and a relatively coarse search-grid. As a result, we found 123 periodic solutions belonging to 105 new topological families that are not included in the database in [Science China Physics, Mechanics and Astronomy 60.12 (2017)]. The extensive numerical search is achieved by a parallel solving of many independent tasks using many cores in a computational cluster.
