Volume 606, October 2017
|Number of page(s)||9|
|Section||Celestial mechanics and astrometry|
|Published online||05 October 2017|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.