Comparative study of the dynamics of Mimas-Tethys system at different resonances

  • Authors

    • Sarita Jha K. B. Women's College, Vinoba Bhave University
    • Goind Kumar Jha Vinoba Bhave University, Hazaribag,Jharkhand
    2017-03-02
    https://doi.org/10.14419/ijaa.v5i1.7095
  • Secular Resonance, Three-Body Problem, Disturbing Function, Oblateness and Poincare Surface of Section.
  • Here we have done the comparative study on the dynamics of Mimas-Tethys system at  and  resonances along with secular resonance of all inner satellites and Saturn’s oblateness. We have drawn Poincare surface of sections and Time-series graph to compare their effect.

  • References

    1. [1] Allan.R.R (1969). “Evolution of Mimas-Tethys commensurabilitiesâ€, Astronomical Journal, 74, pp.997-506. https://doi.org/10.1086/110827.

      [2] Sinclair.A.T. (1972). “On the origin of the commensurabilities amongst the satellites of Saturnâ€, Mon. Not. R. Astrn. Soc., 160, pp.169-187. https://doi.org/10.1093/mnras/160.2.169.

      [3] Vienne.A and Duriez.L (1992, a). “A general theory of Motion for The Eight Major satellites of Saturnâ€, Astronomy and Astrophysics, 257, pp-331-352.

      [4] Vienne.A and Duriez.L (1992,b). “TASS1.6, Ephemerides of the major saturnian satellitesâ€, Astronomy and Astrophysics, 297, pp-588-605.

      [5] Champenois.S and Vienne.A (1999, a). “The Role of secondary resonances in the evolution of the Mimas-Tethys systemâ€, Icarus, 140(1), pp.106-121. https://doi.org/10.1006/icar.1999.6115.

      [6] Champenois.S and Vienne.A (1999, b). “Chaos and Secondary resonances in the Mimas-Tethys systemâ€, Celestial Mechanics and Dynamical Astronomy, 74, pp.111-146. https://doi.org/10.1023/A:1008314007365.

      [7] Jha.S and Agrawal.S.K (2014, a). “Chaotic Dynamics of Mimas- Tethys System due to Secular Resonance of Enceladusâ€, GJDSA, 4(1), pp. 1-11.

      [8] Jha.S and Agrawal.S.K (2014, b). “Effect of Second and Third order resonances on Mimas- Tethys systemâ€, IJAMM, 3(1), 9-21.

      [9] Jha.G.K and Jha.S (2015). “Comparative study of Secular Resonance Effect of Enceladus and Dione on Mimas- Tethys Systemâ€, IJAMM, 4(1), pp. 27-31.

      [10] Jha.G.K and Jha.S (2016, a). “Combined Effect of Oblateness of Saturn and Secular Resonance of Rhea on Mimas-Tethys Systemâ€, M0 (Accepted).

      [11] Jha.G.K and Jha.S (2016, b). “Role of Saturn’s Oblateness and Secular Resonance of Various Combination of Inner Satellites with Titan on Mimas-Tethys Systemâ€, IJST (Accepted).

  • Downloads

  • How to Cite

    Jha, S., & Jha, G. K. (2017). Comparative study of the dynamics of Mimas-Tethys system at different resonances. International Journal of Advanced Astronomy, 5(1), 44-49. https://doi.org/10.14419/ijaa.v5i1.7095