Non-integrability of the minimum-time Kepler problem

Abstract

We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moralès-Ramis theory.

14 pages

References in corpus (2)

• Introduction to the Galois Theory of Linear Differential Equations
• Non integrability of the n body problem with non zero angular momentum

Cited by in corpus (1)

• Singularities of optimal time control-affine systems: the limit case