A statistical theory for the disruption of four-body systems

Mathematics – Probability

Scientific paper

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Binary Stars, Celestial Mechanics, Four Body Problem, Statistical Analysis, Mass Distribution, Probability Density Functions

Scientific paper

A statistical theory based on phase space averaging is used to describe the disruption of bound four-body systems. The dominant final states are assumed to be either two binaries or one binary and two unbound particles. Cut-off parameters are required to render the phase space integrals finite, but they do not have an important effect on the population of a given final state configuration. The relative frequency of the two final states is, however, sensitive to the choice of cut-off. In this paper the mass distributions of the final states are calculated. Other distributions may be easily calculated following the procedure described here.

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