Rotation of an oblate satellite: Chaos control
Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Kraków, Poland
Received: 13 May 2017
Accepted: 1 August 2017
Aims. This paper investigates the chaotic rotation of an oblate satellite in the context of chaos control.
Methods. A model of planar oscillations, described with the Beletskii equation, was investigated. The Hamiltonian formalism was utilized to employ a control method for suppressing chaos.
Results. An additive control term, which is an order of magnitude smaller than the potential, is constructed. This allows not only for significantly diminished diffusion of the trajectory in the phase space, but turns the purely chaotic motion into strictly periodic motion.
Key words: celestial mechanics / chaos / methods: numerical
© ESO, 2017