Non integrability of a self-gravitating Riemann liquid ellipsoid
Dynamical Systems
2018-02-06 v2 Exactly Solvable and Integrable Systems
Abstract
We prove that the motion of a triaxial Riemann ellipsoid of homogeneous liquid without angular momentum does not possess an additional first integral which is meromorphic in position, impulsions, and the elliptic functions which appear in the potential, and thus is not integrable. We prove moreover that this system is not integrable even on a fixed energy level hypersurface.
Keywords
Cite
@article{arxiv.1202.1771,
title = {Non integrability of a self-gravitating Riemann liquid ellipsoid},
author = {Thierry Combot},
journal= {arXiv preprint arXiv:1202.1771},
year = {2018}
}
Comments
14 pages, 8 references