Distribution of Minima of the Current Size of the Triple Systems and Their Disruption
Abstract
The dynamical evolution of triple systems has been studied by computer simulations. A function ρ(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 ρ is used to indicate the current size of the triple system. The minima of ρ have been followed during the course of evolution of the triples. A distribution of f(ρ_{min}) has been obtained, which is described by the following statistical parameters: the mode is equal to 0.65d, the mean value ρ_{min}= 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 threebody approaches.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 June 1990
 DOI:
 10.1007/BF00050711
 Bibcode:
 1990CeMDA..49..145A
 Keywords:

 Escape Velocity;
 Statistical Distributions;
 Three Body Problem;
 Binary Stars;
 Computerized Simulation;
 Systems Stability;
 Astrophysics;
 Threebody problem;
 escape orbits;
 close approach