Escape velocities of interacting spherical galaxies
Abstract
An analytical investigation of the relationship between the separation of two identical interacting spherical galaxies and their (parabolic) escape velocity is presented. The polytropicsuperposition model of galactic potentialenergy interaction of Alladin (1965) is employed. An expression is derived which relates the escape velocity (expressed in terms of the rms internal speed of the galaxy) and the separation (expressed in terms of the mean radius), and which is independent of the density distribution(expressed by the polytrope index n). This finding is compared to the results obtained using other models at different values of n.
 Publication:

Bulletin of the Astronomical Society of India
 Pub Date:
 September 1981
 Bibcode:
 1981BASI....9..249S
 Keywords:

 Celestial Mechanics;
 Escape Velocity;
 Galaxies;
 Interacting Galaxies;
 Astronomical Models;
 Polytropic Processes;
 Stellar Motions;
 Astrophysics