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On Stable Chaos in The Asteroid Belt

Published online by Cambridge University Press:  12 April 2016

Miloš Šidlichovský
Miloš Šidlichovský*
Affiliation:
Astronomical Institute Prague, Boční II 1401, 141 31 Praha 4, Czech Republic

Abstract

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The twenty most chaotic objects found among first hundred of numbered asteroids are studied. Lyapunov time calculated with and without inner planets indicates that for eleven of those asteroids the strongest chaotic effect results from the resonances with Mars. The filtered semimajor axis displays an abrupt variation only when a close approach to Mars takes place. The study of the behaviour of the critical argument for candidate resonances can reveal which is responsible for the semimajor axis variation. We have determined these resonances for the asteroids in question. For the asteroids chaotic even without the inner planets we have determined the most important resonances with Jupiter, or three-body resonances.

Type
Extended Abstracts
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 77 - 86
Copyright
Copyright © Kluwer 1999

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