A small variation of the Taylor Method and periodic solutions of the 3-body problem
Dynamical Systems
2015-07-07 v1 Classical Analysis and ODEs
Differential Geometry
Abstract
In this paper we define a small variation of the Taylor method and a formula for the global error of this new numerical method that allows us to keep track of the round-off error and does not require previous knowledge of the exact solution. As an application we provide a rigorous proof of the construction/existence of a periodic solution of the three body problem. Some images of this periodic motion can be seen at https://www.youtube.com/watch?v=fSmQyeKcj5k
Keywords
Cite
@article{arxiv.1507.01100,
title = {A small variation of the Taylor Method and periodic solutions of the 3-body problem},
author = {Oscar Perdomo},
journal= {arXiv preprint arXiv:1507.01100},
year = {2015}
}
Comments
48 pages, 3 figures