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Non-integrability of the minimum-time Kepler problem.

Authors :
Orieux, M.
Caillau, J.-B.
Combot, T.
Féjoz, J.
Source :
Journal of Geometry & Physics. Oct2018, Vol. 132, p452-459. 8p.
Publication Year :
2018

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03930440
Volume :
132
Database :
Academic Search Index
Journal :
Journal of Geometry & Physics
Publication Type :
Academic Journal
Accession number :
131111538
Full Text :
https://doi.org/10.1016/j.geomphys.2018.06.012