THE PROBABILITY OF SPECIFIED CHANGES IN-ORBIT INTEGRALS AS A RESULT OF AN APPROACH IN A PLANE GRAVITATING SYSTEM

A function giving the probability of a close approach with a field sta r with specified changes in the energy and angular momentum integrals is derived for a star of arbitrary mass in a plane medium. In the case of weak interactions, this function is proportional to (Delta v)(-2), where Delta v is the change of the star's velocity as a result of the approach. Multiplying the resulting function by the multiplicity coef ficient for distant approaches ensures convergence of the collision in tegral in a plane medium.