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Chaotic asteroidal trajectories exhibiting multiple bursts of eccentricity: A statistical analysis

Published online by Cambridge University Press:  25 May 2016

Ivan I. Shevchenko  and
Hans Scholl
Ivan I. Shevchenko
Affiliation:
Institute of Theoretical Astronomy, Russian Academy of Sciences, St. Petersburg, Russia
Hans Scholl
Affiliation:
Observatoire de la Côte d'Azur, Department G. D. Cassini, Nice, France

Abstract

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For chaotic asteroidal trajectories exhibiting multiple bursts of eccentricity in the 3/1 Jovian resonance, we derive the distribution function of time intervals between such bursts. At the onset, the resulting distribution decays exponentially. In the tail, an algebraic decay is observed, with the power-law index for the integral distribution in the range −2 to −1.

Type
Part IV - Asteroids: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 183 - 186
Copyright
Copyright © Kluwer 1996 

References

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