The meromorphic non-integrability of the three-body problem
Dynamical Systems
2007-05-23 v1
Abstract
We study the planar three-body problem and prove the absence of a complete set of complex meromorphic first integrals in a neighborhood of the Lagrangian solution. We use the Ziglin's method and study the monodromy group of the corresponding normal variational equations.
Keywords
Cite
@article{arxiv.math/0009218,
title = {The meromorphic non-integrability of the three-body problem},
author = {Alexei Tsygvintsev},
journal= {arXiv preprint arXiv:math/0009218},
year = {2007}
}
Comments
17 pages, submitted to Crelle's Journal