Non-integrability of the minimum-time Kepler problem - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Geometry and Physics Year : 2018

Non-integrability of the minimum-time Kepler problem

Abstract

We prove, using Moralès–Ramis theorem, that the minimum-time controlled Kepler problem is not meromorphically integrable in the Liouville sens on the Riemann surface of its Hamiltonian.
Fichier principal
Vignette du fichier
jgp-2018.pdf (712.51 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01679261 , version 1 (09-01-2018)
hal-01679261 , version 2 (24-06-2018)

Identifiers

Cite

Michaël Orieux, Jean-Baptiste Caillau, Thierry Combot, Jacques Fejoz. Non-integrability of the minimum-time Kepler problem. Journal of Geometry and Physics, 2018, 132, pp.452-459. ⟨10.1016/j.geomphys.2018.06.012⟩. ⟨hal-01679261v2⟩
478 View
242 Download

Altmetric

Share

Gmail Facebook X LinkedIn More