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 i23 resonance is 0.24 (i.e. probability of non capture in i1i3 resonance). 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.
Highlights
IntroductionAllan [1] and Sinclair [2] investigated the dynamics of the Mimas-Tethys system under the hypothesis of circular orbits
We have done the comparative study of the dynamics of Mimas-Tethys system at i1i3, i1i3e3, i12e3, i32e3 and i12, i1i3e3, i12e3, i32e3 resonances along with secular resonance of Saturn’s six inner satellites and Saturn’s oblateness
Allan [1] and Sinclair [2] investigated the dynamics of the Mimas-Tethys system under the hypothesis of circular orbits
Summary
Allan [1] and Sinclair [2] investigated the dynamics of the Mimas-Tethys system under the hypothesis of circular orbits. Saturn’s gravitational momenta are quite important so that we have, in order to get the full variations of the mean longitudes, nodes and pericentres due to the oblateness, taken into account the lowest-degree terms with (See Table 1 for its values) as a factor (Vienne and Duriez [3] [5]). ( ) involving Mimas, Enceladus, Tethys, Dione, Rhea and Titan αij (CV [6])
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