Rotation of an oblate satellite: Chaos control
Earth and Planetary Astrophysics
2017-10-11 v4 Chaotic Dynamics
Space Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1704.02015,
title = {Rotation of an oblate satellite: Chaos control},
author = {Mariusz Tarnopolski},
journal= {arXiv preprint arXiv:1704.02015},
year = {2017}
}
Comments
9 pages, 4 figures; accepted in A&A