Fourier analysis of local Lyapunov characteristic exponents for satellite-type motions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Binary Stars, Fourier Analysis, Liapunov Functions, Orbit Calculation, Stellar Models, Stellar Orbits, Stochastic Processes, Three Body Problem, Chaos, Mathematical Models

Scientific paper

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 Froeschle (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 (alphaik of this system for different intervals of time.

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