Evidence for Lévy Random Walks in the Evolution of Comets from the Oort Cloud

Details Evidence for Lévy Random Walks in the Evolution of Comets from the Oort Cloud Evidence for Lévy Random Walks in the Evolution of Comets from the Oort Cloud

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..84..409z&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 84, Issue 4, p. 409-427 (2002).

Astronomy and Astrophysics

Astronomy

6

Comets, Lévy Random Walk, Map Approach

Scientific paper

With a simple map model, derived within the framework of the planar circular restricted three-body problem (Sun-Jupiter-comet), we study the dynamical evolution of near-parabolic comets under the perturbation of Jupiter. The commonly adopted random walk assumption about the energy evolution of the comets is examined. Numerical results show that for the comets on Jupiter-crossing orbits, due to the large energy changes with Jupiter per passage, the statistical evolution of the cometary energy follows a Lévy random walk, thus statistically the final energy parameter that a comet reaches is linked to the number of passages by a power law Kf ~ nf. The mechanism that generates the Lévy random walk is explained in this model.

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