Control of Chaos in the Hamiltonian System of Mimas-Tethys

Details Control of Chaos in the Hamiltonian System of Mimas-Tethys Control of Chaos in the Hamiltonian System of Mimas-Tethys

Nov 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aj....136.2201k&link_type=abstract

The Astronomical Journal, Volume 136, Issue 5, pp. 2201-2203 (2008).

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Methods: Analytical, Planets And Satellites: General

Scientific paper

We have estimated the control term to the order of ɛ2 i (for i = 1, 2, 3) up to the second order of approximations for the Hamiltonian system of Mimas-Tethys (the natural satellites of Saturn), which is close to integrable. By adding this small and simple control term, the perturbed system of Mimas-Tethys becomes more regular than the previous one. This we have shown through the Poincaré surface of section, Poincaré map, phase plot, and time series analysis.

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