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A Classic Problem in Newtonian Dynamics: How Thick Are Saturn’s Rings?

  • Abhijit Bhattacharyya
Conference paper
Part of the Astrophysics and Space Science Proceedings book series (ASSSP, volume 53)

Abstract

Saturn’s ring system shows variation in opacity and spectral properties. Although water ice comprises the bulk of the Saturn’s ring system, non-icy materials also play crucial role to understand the origin of the rings. Particles inside a planetary ring are subject to forcing due to the central planet, moons in the inclined orbits, self-gravity of the ring and other forces resulting from the radiation drag, collisional effects and the Lorentz force arising from the magnetic field of the planet. Study of the ring system got boost after gathering data from the Voyager flyby, the Cassini mission etc. Our study mainly composed of understanding of the C ring and the A ring. It was found that considerable amount of shear gets developed in the vertical direction even within the ring itself and the dissipation it causes can damp excitations due to moons within a couple of hundreds of kilometres. The study stressed mainly on the damping property of vertical bending waves.

References

  1. 1.
    Alexander, A.F.Ó.D.: The Planet Saturn: A History of Observation, Theory and Discovery. Faber and Faber, London (1962)Google Scholar
  2. 2.
    Bhattacharyya, A.: Doctor of Philosophy (Science). Thesis, Jadavpur University (2001)Google Scholar
  3. 3.
    Bhattacharyya, A., Basu, A.M.: Indian J. Phys. B 73, 6 (1999)Google Scholar
  4. 4.
    Bhattacharyya, A., Chakrabarti, S.: 32nd Lunar and Planetary Science Conference, 1046 (2001)Google Scholar
  5. 5.
    Bhattacharyya, A., Chakrabarti, S.: Mon. Not. R. Astron. Soc. 357, 156–164 (2005)ADSCrossRefGoogle Scholar
  6. 6.
    Chakrabarti, S.: J. Astrophys. 9, 243 (1988)Google Scholar
  7. 7.
    Chakrabarti, S.: Mon. Not. R. Astron. Soc. 238, 1381–1394 (1989)ADSCrossRefGoogle Scholar
  8. 8.
    Chakrabarti, S., Bhattacharyya, A.: Mon. Not. R. Astron. Soc. 326, L23–L26 (2001)ADSCrossRefGoogle Scholar
  9. 9.
    Chandrasekhar, S.: Principles of Stellar Dynamics. University of Chicago Press, Chicago (1942)zbMATHGoogle Scholar
  10. 10.
    Darwin, G.H.: Saturn’s Rings. Harpers New Mon. Mag. 79, 66–76 (1889)Google Scholar
  11. 11.
    Franklin, F.A., Colombo, G.: Icarus 12, 338–347 (1970)ADSCrossRefGoogle Scholar
  12. 12.
    Franklin, F.A., Colombo, G.: Icarus 15, 80–92 (1971)ADSCrossRefGoogle Scholar
  13. 13.
    Goldreich, P., Tremaine, S.: Icarus 34, 227–239 (1978)ADSCrossRefGoogle Scholar
  14. 14.
    Goldreich, P., Tremaine, S.: Annu. Rev. Astron. Astrophys. 20, 249–283 (1982)ADSCrossRefGoogle Scholar
  15. 15.
    Hedman, H.H., et al.: Icarus 223, 105–130 (2013)ADSCrossRefGoogle Scholar
  16. 16.
    Huygens, C.: Systema Saturnium, sive de causis mirandorum Saturni phaenomenon, et comite ejus planeta novo. Adrian Vlacq, The Hague (1659)Google Scholar
  17. 17.
    Laplace, P.S., de Marquis: Mechanique Celeste, vol. III, p. 512. Hillard, Gray, Little, and Wilkins Publishers, Boston (1802)Google Scholar
  18. 18.
    Lin, C.C., Shu, F.H.: Astrophys. J. 140, 646 (1964)ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    Pollack, J.B.: The rings of Saturn. Space Sci. Rev. 18, 3–93 (1975)ADSCrossRefGoogle Scholar
  20. 20.
    Roche, R.A.: Akad. des Sciences et letters de Montpelier. Mem de la Section des Sciences 1, 243–262 (1847)Google Scholar
  21. 21.
    Rosen, P.A., Lissauer, J.J.: Science 241, 690–694 (1988)ADSCrossRefGoogle Scholar
  22. 22.
    Shu, F.H.: In: Brahic, A., Greenberg, R. (eds.) Planetary Rings. University of Arizona, Tucson (1984)Google Scholar
  23. 23.
    Shu, F.H., Cuzzi, J.N., Lissauer, J.J.: Icarus 53, 185–206 (1983)ADSCrossRefGoogle Scholar
  24. 24.
    Zhang, Z., et al.: Icarus 281, 297–321 (2017)ADSCrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Abhijit Bhattacharyya
    • 1
    • 2
  1. 1.PH-SFT Group (EP), CERNGenevaSwitzerland
  2. 2.Nuclear Physics DivisionBhabha Atomic Research CentreMumbaiIndia

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