Astrophysics and Space Science

, Volume 194, Issue 2, pp 245–250 | Cite as

Changes in binding energy of interacting galaxies

  • M. Narasimha Rao
  • K. S. V. S. Narasimhan
Article

Abstract

It is shown that the fractional increase in binding energy of a galaxy in a fast collision with another galaxy of the same size can be well represented by the formula
$$\xi _2 = 3({G \mathord{\left/ {\vphantom {G {M_2 \bar R}}} \right. \kern-\nulldelimiterspace} {M_2 \bar R}}) ({{M_1 } \mathord{\left/ {\vphantom {{M_1 } {V_p }}} \right. \kern-\nulldelimiterspace} {V_p }})^2 e^{ - p/\bar R} = \xi _1 ({{M_1 } \mathord{\left/ {\vphantom {{M_1 } {M_2 }}} \right. \kern-\nulldelimiterspace} {M_2 }})^3 ,$$
whereM1,M2 are the masses of the perturber and the perturbed galaxy, respectively,V p is the relative velocity of the perturber at minimum separationp, and\(\bar R\) is the dynamical radius of either galaxy.

Keywords

Binding Energy Relative Velocity Fractional Increase Fast Collision Dynamical Radius 

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • M. Narasimha Rao
    • 1
  • K. S. V. S. Narasimhan
    • 1
  1. 1.Centre of Advanced Study in AstronomyOsmania UniversityHyderabadIndia

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