Non-integrability of the minimum-time Kepler problem
Dynamical Systems
2019-08-28 v2 Mathematical Physics
math.MP
Optimization and Control
Abstract
We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moral\`es-Ramis theory.
Cite
@article{arxiv.1801.04198,
title = {Non-integrability of the minimum-time Kepler problem},
author = {Michael Orieux and Jean-Baptiste Caillau and Jacques Féjoz and Thierry Combot},
journal= {arXiv preprint arXiv:1801.04198},
year = {2019}
}
Comments
14 pages