A STATISTICAL APPROACH TO TWO–PARAMETER FAMILIES OF TRIPLE CLOSE APPROACHES IN STELLAR SYSTEM (I)

Ranjeet Kumar; Navin Chandra; Surekha Tomar

Volume : III, Issue : VII, July - 2014

A STATISTICAL APPROACH TO TWO–PARAMETER FAMILIES OF TRIPLE CLOSE APPROACHES IN STELLAR SYSTEM (I)

Ranjeet Kumar, Navin Chandra, Surekha Tomar

Abstract :

A statistical approach to two-parameter families of triple close approaches which result a systematic regularity of escape with the formation of a binary is studied in a series of two papers. This paper deals statistical theory with low initial velocities and equal masses in the evolution of stellar system in two-dimensional space. The complete statistical solutions (i.e. the distributions of eccentricity e of the binary, binary energy Eb and the escape velocity of escaper vs ,etc.) of the system are calculated and are in good agreement with the numerical results of dynamical evolution in the range of in all direction of in a plane. We have also applied double limit process to the system in a plane and observed that the perturbing velocity v0 → 0+ the product of the semi-major axis �a� of the final binary and the square of the escape velocity i.e. , in all direction of α .