A note on algebraic potentials and Morales-Ramis theory
Dynamical Systems
2015-06-11 v1
Abstract
We present various properties of algebraic potentials, and then prove that some Morales-Ramis theorems readily apply for such potentials even if they are not in general meromorphic potentials. This allows in particular to precise some non-integrability proofs in celestial mechanics, where the mutual distances between the bodies appear in the potentials, and thus making this analysis unavoidable.
Keywords
Cite
@article{arxiv.1209.4747,
title = {A note on algebraic potentials and Morales-Ramis theory},
author = {Thierry Combot},
journal= {arXiv preprint arXiv:1209.4747},
year = {2015}
}
Comments
8 pages