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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.inria.fr/hal-01679261
Contributor : Jean-Baptiste Caillau <>
Submitted on : Sunday, June 24, 2018 - 1:23:12 AM
Last modification on : Wednesday, October 16, 2019 - 4:07:08 PM
Long-term archiving on : Tuesday, September 25, 2018 - 11:28:03 PM

File

jgp-2018.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

262

Files downloads

771