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.
Astronomy and Astrophysics
- Pub Date:
- October 2017
- celestial mechanics;
- methods: numerical;
- Astrophysics - Earth and Planetary Astrophysics;
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Space Physics
- 9 pages, 4 figures