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Fourier analysis of local Lyapunov characteristic exponents for satellite-type motions
Authors:E. Lohinger  C. Froeschlé
Affiliation:(1) Institute of Astronomy, University of Vienna, Türkenschanzstr. 17, 1180 Wien, Austria;(2) Observatoire de la Côte d'Azur, B.P. 229, 06304 Nice Cedex 4, France;(3) Present address: Observatoire de la Côte d'Azur, Nice
Abstract:
For a binary star system with equal masses the transition from regular to stochastic motion has been determined by means of the Lyapunov Characteristic Numbers (LCN) in a paper of Gonczi and Froeschlé (1981), where the initial distance of the massless body to the second primary was used as parameter of integration. This time we analyse the Fourier spectra of the local LCNs (ln agrki) of this system for different intervals of time.
Keywords:Lyapunov characteristic numbers  chaotic motion  binary stars
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