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Astrophysics > Earth and Planetary Astrophysics

arXiv:1704.02015 (astro-ph)
[Submitted on 6 Apr 2017 (v1), last revised 8 Aug 2017 (this version, v4)]

Title:Rotation of an oblate satellite: Chaos control

Authors:Mariusz Tarnopolski
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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.
Comments: 9 pages, 4 figures; accepted in A&A
Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Chaotic Dynamics (nlin.CD); Space Physics (physics.space-ph)
Cite as: arXiv:1704.02015 [astro-ph.EP]
  (or arXiv:1704.02015v4 [astro-ph.EP] for this version)
  https://doi.org/10.48550/arXiv.1704.02015
Journal reference: A&A 606, A43 (2017)
Related DOI: https://doi.org/10.1051/0004-6361/201731167

Submission history

From: Mariusz Tarnopolski [view email]
[v1] Thu, 6 Apr 2017 20:35:30 UTC (9,162 KB)
[v2] Sat, 13 May 2017 20:45:15 UTC (230 KB)
[v3] Thu, 3 Aug 2017 07:16:47 UTC (205 KB)
[v4] Tue, 8 Aug 2017 09:55:28 UTC (205 KB)
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