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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.
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https://hal.inria.fr/hal-01679261
Contributor : Jean-Baptiste Caillau <>
Submitted on : Sunday, June 24, 2018 - 1:23:12 AM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM
Long-term archiving on: : Tuesday, September 25, 2018 - 11:28:03 PM

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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⟩

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