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Non-integrability of the minimum-time Kepler problem

Authors :
Orieux, Michael
Caillau, Jean-Baptiste
Féjoz, Jacques
Combot, Thierry
Publication Year :
2018

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.<br />Comment: 14 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1801.04198
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.geomphys.2018.06.012