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Regimes of stability and scaling relations for the removal time in the asteroid belt: a simple kinetic model and numerical tests

Published online by Cambridge University Press:  28 February 2005

Mihailo Čubrović
Affiliation:
Department of Astronomy – Petnica Science Center, P. O. B. 6, 14104 Valjevo, Serbia and Montenegro email: cygnus@EUnet.yu
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Abstract

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We report on our theoretical and numerical results concerning the transport mechanisms in the asteroid belt. We first derive a simple kinetic model of chaotic diffusion and show how it gives rise to some simple correlations (but not laws) between the removal time (the time for an asteroid to experience a qualitative change of dynamical behavior and enter a wide chaotic zone) and the Lyapunov time. The correlations are shown to arise in two different regimes, characterized by exponential and power-law scalings. We also show how is the so-called “stable chaos” (exponential regime) related to anomalous diffusion. Finally, we check our results numerically and discuss their possible applications in analyzing the motion of particular asteroids.To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Type
Contributed Papers
Copyright
© 2005 International Astronomical Union