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.
翻译:在本文中,我们采用了基于牛顿方法连续模拟和高精密算术的修改牛顿方法,对平面三体问题周期轨道进行一般数字搜索,我们考虑的是相对短的时期和相对粗略的搜索网格。结果,我们找到了属于105个未纳入数据库的新表层家庭的123个定期解决方案[中国科学物理、机械学和天文学60.12(2017年 。 大量数字搜索是通过在计算组中利用许多核心平行解决许多独立任务来实现的。