New families of periodic orbits for the planar three-body problem computed with high precision
Numerical Analysis
2022-08-30 v1 Earth and Planetary Astrophysics
Numerical Analysis
Chaotic Dynamics
Computational Physics
Abstract
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.
Keywords
Cite
@article{arxiv.2205.14709,
title = {New families of periodic orbits for the planar three-body problem computed with high precision},
author = {I. Hristov and R. Hristova and I. Puzynin and T. Puzynina and Z. Sharipov and Z. Tukhliev},
journal= {arXiv preprint arXiv:2205.14709},
year = {2022}
}
Comments
5 pages, 1 figure. http://ceur-ws.org/Vol-3191/paper04.pdf . arXiv admin note: substantial text overlap with arXiv:2203.02793