The disruption of the three body problem into a binary and escaping body

We draw attention to areas of astrophysics where the three body problem has obtained a central position. One may divide the astrophysically bodies into three main categories: System of stars (of comparable masses and initial distances) that break up after some dynamical evolution; Scattering of single star of close binaries. These events are important in the dynamics of star clusters; Stable hierarchical systems. Examples of which are the numerous triple stars observed in the galactic field. A statistical approach to families of triple close approaches in three dimensional space which result a systematic regularity to escape with the formation of a binary is studied. The complete statistical solutions i.e. the distributions of eccentricity of the binary, binary energy and the escape velocity of escaper etc. of the system are calculated and are in good agreement with the numerical results of dynamical evolution in the range of 0.1 to .01 in all direction of perturbing velocity. We have also applied double limit process to the system. (author)