Fast Lyapunov Indicators. Application to Asteroidal Motion

Author: FROESCHLÉ CLAUDE   LEGA ELENA   GONCZI ROBERT  

Publisher: Springer Publishing Company

ISSN: 0923-2958

Source: Celestial Mechanics and Dynamical Astronomy, Vol.67, Iss.1, 1997-01, pp. : 41-62

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Abstract

We present a very simple and fast method to separate chaotic from regular orbits for non-integrable Hamiltoni an systems. We use the standard map and the Hénon and Heiles potential as model problems and show that this method appears to be at least as sensitive as the frequency-analysis method. We also study the chaoticity of asteroidal motion.