Chaotic Transitions in Resonant Asteroidal Dynamics

Details Chaotic Transitions in Resonant Asteroidal Dynamics Chaotic Transitions in Resonant Asteroidal Dynamics

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..64...93f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 64, Issue 1-2, pp. 93-105

Astronomy and Astrophysics

Astronomy

8

Asteroids, Resonance, Chaos, Kirkwood Gaps

Scientific paper

The utilization of chaotic dynamics approaches allowed the identification of many modes of motion in resonant asteroidal dynamics. As these dynamical systems are not integrable, the motion modes are not separated and one orbit may transit from one mode to another. In some cases, as in the 31 resonance, these transitions may lead, in a relatively short time scale, to eccentricities so high that the asteroid may approach the Sun and be destroyed. In the 21 and 32 resonances these transitions are much slower and only indirect estimations of the time which is needed for a generic asteroid to leave the resonance are possible. It may reach hundreds of million years in the more robust regions of the 21 resonance and a time of the order of billions of years in those of the 32 resonance. These values are consistent with the observed depletion of the 21 resonance (only a few asteroids known while almost 60 asteroids are known in the 32 resonance).

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