Orbits of colliding galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Elliptical Galaxies, Interacting Galaxies, Many Body Problem, Orbit Calculation, Stellar Systems, Angles (Geometry), Deflection, Simulation

Scientific paper

A simple, semi-analytic method is developed for obtaining the orbits of galaxies undergoing fast collisions in which the galaxies are represented by Plummer models. The results are found to agree fairly well with those of N-body simulations. A simple formula for obtaining the angle of deflection is deduced. The maximum angle of deflection is 180 deg for Vp/Vesc(p) = 1.00, about 36 deg for Vp/Vesc(p) = 1.50, and about 18 deg for Vp/Vesc(p) = 2.00, where Vp is the velocity at closest approach p, and Vesc(p) is the parabolic velocity of escape at p. The angle of deflection of a pair of colliding elliptical galaxies without halos is about twice that for a pair of galaxies with halos for the same relative velocity at infinite separation.

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