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has been cited by the following article:

• TITLE: A Comparative Study of Resonances in the Dynamics of the Mimas-Tethys System

  AUTHORS: Hemant Kumar Mishra, Govind Kumar Jha, Sarita Jha

  KEYWORDS: Secular Resonance, Three Body Problem, Disturbing Function, Oblateness

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.7 No.1, March 21, 2017

  ABSTRACT: The probability of capture of Mimas-Tethys in 2:4 resonance was found to be 0.76 by Champenois when they considered the orbit of Tethys to be elliptical (that is eccentricity of Tethys to be 0.0008) and chaos was taken into account. It means probability of capture in i21 or i23resonance is 0.24 (i.e. probability of non capture in i1i3resonance). Here we have done the comparative study of the dynamics of Mimas-Tethys system at i1i3, i1i3e3, i21e3, i23e3 and i21, i1i3e3, i21e3, i23e3 resonances along with secular resonance of Saturn’s six inner satellites and Saturn’s oblateness. We have drawn Poincare surface of sections and Time series graphs to compare their effect.