http://arxiv.org/abs/2205.14709
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.
I. Hristov, R. Hristova, I. Puzynin, et. al.
Tue, 31 May 22
71/89
Comments: 5 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2203.02793