English

The meromorphic non-integrability of the planar three-body problem

Dynamical Systems 2015-06-26 v2

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.

Cite

@article{arxiv.math/0009217,
  title  = {The meromorphic non-integrability of the planar three-body problem},
  author = {Alexei Tsygvintsev},
  journal= {arXiv preprint arXiv:math/0009217},
  year   = {2015}
}

Comments

4 pages, French

R2 v1 2026-07-22T16:34:52.863Z