Distribution of minima of the current size of the triple systems and their disruption

Astronomy and Astrophysics – Astronomy

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Escape Velocity, Statistical Distributions, Three Body Problem, Binary Stars, Computerized Simulation, Systems Stability

Scientific paper

The dynamical evolution of triple systems has been studied by computer simulations. A function rho(t) has been defined, where rho is the maximum distance of the components from their center of inertia, and t is the time. The value of rho is used to indicate the current size of the triple system. The minima of rho have been followed during the course of evolution of the triples. A distribution of f(rho min) has been obtained, which is described by the following statistical parameters: the mode is equal to 0.65d, the mean rho minimum value = 0.750d, r.m.s. is 0.477 d, the asymmetry is 0.218, and the excess is 2.04 where d is the mean harmonic distance between the bodies in the equilibrium state of the triple system. As a rule, escapes from triples occur only after close three-body approaches.

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