The probability of specified changes in orbit integrals as a result of an approach in a plane gravitating system

Details The probability of specified changes in orbit integrals as a result of an approach in a plane gravitating system The probability of specified changes in orbit integrals as a result of an approach in a plane gravitating system

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997azh....74..796p&link_type=abstract

Astronomicheskij Zhurnal, vol. 74, p. 796

Mathematics

Probability

Stellar Orbits, Angular Momentum, Star Distribution, Stellar Mass, Distribution Functions, Integral Calculus

Scientific paper

A function giving the probability of a close approach with a field star 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) exp -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 coefficient for distant approaches ensures convergence of the collision integral in a plane medium.

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