Evolution of triple systems - Stochastic behavior and dynamic instability

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galactic Structure, Dynamic Stability, Stochastic Processes, Galactic Evolution, Virial Coefficients, Astronomical Models, Liapunov Functions, Statistical Analysis

Scientific paper

Stochastic properties of the dynamics of the triple systems of gravitating bodies are investigated. Numerical models of such systems are constructed with particular attention to the case of the galaxy triplets. It is shown that the temporal behavior of the virial coefficient and of the configuration radius of triplets displays stochastic features. The divergence of initially close phase-space trajectories is observed. By using the method of Liapunov's exponents, the increment rate of the dynamic instability for triple galaxies is estimated. Statistical regularities of the evolution of the ensemble of the triplets in the triple configuration space are found.

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