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Orbits of colliding galaxies
Authors:M Narasimha Rao  Saleh Mohamed Alladin  K S V S Narasimhan
Institution:(1) Vivek Vardhini College, Hyderabad and Centre of Advanced Study in Astronomy, Osmania University, 500 007 Hyderabad, India;(2) Inter-university Centre for Astronomy and Astrophysics, 411007 Pune, India
Abstract: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° forV p/V esc(p)=1.00, about 36° forV p/V esc(p)=1.50, and about 18° forV p/V esc(p)=2.00, whereV p is the velocity at closest approachp, andV esc(p) is the parabolic velocity of escape atp. 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.
Keywords:stellar systems: dynamics  galaxies: interaction  galaxies: orbits
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