Analytical derivation of the probability for the escape of stars from colliding galaxies

Statistics – Computation

Scientific paper

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Circular Orbits, Computational Astrophysics, Interacting Galaxies, Astronomical Models, Escape Velocity, Statistical Distributions, Stellar Motions

Scientific paper

The impulse approximation is used to derive analytical formulas for the escape probability from a simple binary system that interacts with a third body. The binary system is made up of a massless body in circular orbit around a massive object, and it is assumed that the two massive bodies follow a Schuster (or Plummer) distribution. Within the ranges imposed by the impulsive approximation to the parameters of the encounter, good agreement is found between the results and those obtained from numerical experiments.

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