Analytical derivation of the probability for the escape of stars from colliding galaxies |
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| Authors: | Pablo M Cincotta Juan C Muzzio Josué A Núñez |
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| Institution: | (1) Facultad de Ciencias Astronómicas y Geofisicas, Universidad Nacional de La Plata, Argentina;(2) Consejo Nacional de Investigaciones Cientificas y Ténicas de la República Argentina, Argentina;(3) Observatorio Astronómico, Paseo del Bosque, 1900 La Plata, Argentina |
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| Abstract: | We use the impulse approximation to derive analytical formulae for the escape probability from a simple binary system that interacts with a third body. The binary system is made up of a mass-less body in circular orbit around a massive object, and we assume 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, we find good agreement between our results and those obtained from numerical experiments. |
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| Keywords: | Impulse approximation probability of escape |
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