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Numerical Simulations of Encounters of Hard Binaries

Published online by Cambridge University Press:  04 August 2017

Seppo Mikkola
Seppo Mikkola*
Affiliation:
Turku University Observatory, Itäinen Pitkäkatu 1 SF-20520 Turku 52 Finland

Abstract

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Results from numerical integrations of random binary-binary encounters have been used to obtain various cross-sections and outcome distributions for the four-body scattering. The initial orbital elements were chosen randomly except the Kepler-energies for which various selected values were used. Rough estimates for mass effects were obtained by simulating encounters of binaries with unequal component masses.

We developed a semi-analytical theory for obtaining the types and energies of the outcome configurations. The theory contains some adjustable parameters, the values of which we deduced by comparing the theory and experiments.

The energy transfer rate by collisions (=outcome is not two binaries) dominates over that due to fly-by's by an order of magnitude, provided that the binaries are hard. The formation of a hierarchical three-body system is fairly common. In a collision of energetically similar very hard binaries the probability is about 20 percent, while it is greater than 50 percent if the binding energies differ by a factor of more than four.

Type
May 30: Model System in the Point-Mass Approximation
Information
Symposium - International Astronomical Union , Volume 113: Dynamic of Stars Clusters , 1985 , pp. 335 - 338
Copyright
Copyright © Reidel 1985 

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