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Distribution of minima of the current size of the triple systems and their disruption
Authors:Tateos A. Agekian  Joanna P. Anosova
Affiliation:(1) University of Leningrad, Astronomical Observatory, Bibliotechnaya Pl. 2, 198904 Leningrad, Petrodvorets, U.S.S.R.
Abstract:The dynamical evolution of triple systems has been studied by computer simulations. A function rgr(t) has been defined, where p is the maximum distance of the components from their centre of inertia, and t is the time. The value of rgr is used to indicate the current size of the triple system. The minima of rgr have been followed during the course of evolution of the triples. A distribution of f(rgrmin) has been obtained, which is described by the following statistical parameters: the mode is equal to 0.65d, the mean value rgrmin= 0.750d, r.m.s. is 0.477d, the asymmetry is 0.218, 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.
Keywords:Three-body problem  escape orbits  close approach
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