Improved determination of the mean decay time for nonrotating three-body systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Orbit Decay, Three Body Problem, Time Dependence, Distribution Functions, Equations Of Motion, Kinetic Equations, Numerical Integration

Scientific paper

Computer simulations were used to calculate mean decay time for a set of 1500 three-body systems of equal-mass components and zero rotational moment with randomly chosen initial configurations. At the initial time the bodies were considered motionless. Also determined were the mean values of the perimeters of the configurational triangle of the components during triple encounter leading to decay, the mean value of the ratio of the excess kinetic energy of the component leaving the system over the energy required by the decay criterion to the total energy of the system, and the mean value of the semimajor axes. In all cases the motion ended with decay, the mean decay time being about 112.3 times the mean time of intersection of the components.

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