Author(s)

Hemant Kumar Mishra¹, Govind Kumar Jha², Sarita Jha³

¹Department of Mathematics, Chatra College, Chatra, India.
²Department of Mathematics, Vinoba Bhave University, Hazaribag, India.
³Department of Mathematics, K. B. Women’s College, Hazaribag, India.

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.

Secular Resonance, Three Body Problem, Disturbing Function, Oblateness

Mishra, H. , Jha, G. and Jha, S. (2017) A Comparative Study of Resonances in the Dynamics of the Mimas-Tethys System. International Journal of Astronomy and Astrophysics, 7, 28-37. doi: 10.4236/ijaa.2017.71003.