Abstract
The dynamical evolution of triple systems with equal-mass components and zero initial velocities is studied. We consider two regions of initial conditions: a regionD of all possible configurations of triples and a circleR. The configurations are distributed uniformly within these regions. The calculations have been carried out until a time when escape or ‘conditional’ escape (i.e. distant ejection) of one component takes place. The accuracy has been checked by doing time-reversed integration. Types of ‘predictable’ and ‘non-predictable’ systems are revealed. Averages for a number of evolution parameters are presented: the life-time, minimum perimeter during the last triple approach resulting in escape, semi-major axis and eccentricity of the final binary, and the smallest separation between the components during the evolution. It is shown that the statistical results for the regionsD andR do not differ significantly for the most part. Our results, which have been obtaned by a three-body regularization method, are in good agreement with previous work based on the RK4 integrator and Sundman's time smoothing.
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Anosova, J.P., Orlov, V.V. & Aarseth, S.J. Initial conditions and dynamics of triple systems. Celestial Mech Dyn Astr 60, 365–372 (1994). https://doi.org/10.1007/BF00691902
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DOI: https://doi.org/10.1007/BF00691902