Fiberwise Convexity of Hill's lunar problem
Symplectic Geometry
2016-07-07 v2
Abstract
In this paper, I prove the fiberwise convexity of the regularized Hill's lunar problem below the critical energy level. This allows us to see Hill's lunar problem of any energy level below the critical value as the Legendre transformation of geodesic problem on with a family of Finsler metric.
Keywords
Cite
@article{arxiv.1411.7573,
title = {Fiberwise Convexity of Hill's lunar problem},
author = {Lee Junyoung},
journal= {arXiv preprint arXiv:1411.7573},
year = {2016}
}
Comments
55pages, 17figures