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Statistical mechanics of keplerian orbits

II. Dispersion in particle size

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Abstract

A dispersion in particle sizes is incorporated into the theory of partially elastic collisions on Keplerian orbits. Very different particles can never co-exist for long periods, if their elasticity parameter depends of the kinetic energy in collisions. If a system initially consists of a mixture of sizes, two possibilities for its evolution exist. If the smaller particles initially dominate, then they fall rapidly to the central body without affecting the remaining system. If the larger particles dominate, then a ringshaped system is formed. This is one possible mechanism for the origin of Saturn's rings. A dust content is also able to create a gap like the Cassini division.

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References

  • Alfvén, H.: 1971,Science 173, 522.

    Google Scholar 

  • Baxter, D. C. and Thompson, W. B.: 1973,Astrophys. J. 183, 323.

    Google Scholar 

  • Brahic, A.: 1975,Icarus 25, 452.

    Google Scholar 

  • Dollfus, A.: 1961, in G. Kuiper and B. Middlehurst (eds.),The Solar System III, Planets and Satellites, University of Chicago Press, Chicago, p. 568.

    Google Scholar 

  • Ferrín, I.: 1974,Icarus 22, 159.

    Google Scholar 

  • Hämeen-Anttila, K. A.: 1975,Astrophys. Space Sci. 37, 309.

    Google Scholar 

  • Jeffreys, H.: 1947,Monthly Notices Roy. Astron. Soc. 107, 263.

    Google Scholar 

  • Nygrén, L.: 1975,Astrophys. Space Sci. 39, 313.

    Google Scholar 

  • Trulsen, J.: 1972a,Astrophys. Space Sci. 17, 241.

    Google Scholar 

  • Trulsen, J.: 1972b,Astrophys. Space Sci. 18, 3.

    Google Scholar 

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Authors and Affiliations

  1. Aarne Karjalainen Observatory, University of Oulu, Oulu, Finland

    K. A. Hämeen-Anttila

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  1. K. A. Hämeen-Anttila
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Hämeen-Anttila, K.A. Statistical mechanics of keplerian orbits. Astrophys Space Sci 43, 145–174 (1976). https://doi.org/10.1007/BF00640563

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  • DOI: https://doi.org/10.1007/BF00640563

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