Control of Chaos in the Dynamics of Enceladus

Abstract

We estimate a localized control term for the Hamiltonian of spin orbit dynamics of Enceladus. The aim is to modify the perturbation locally by a smaller and simple but robust control term which makes the controlled Hamiltonian more regular. Poincare surface of sections witnesses that the estimated control term is able to recreate invariant (KAM) tori without modifying other parts of phase space.Keywords: Chaos control; Poincare surface of section; Enceladus (Satellite)