Stellar encounter probability and multiplicity in a plane gravitating medium

Mathematics – Probability

Scientific paper

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Gravitational Effects, Probability Theory, Star Distribution, Stellar Motions, Velocity Distribution, Astrodynamics, Collision Parameters, Encounters, Random Processes, Transition Probabilities

Scientific paper

Expressions are derived for the probability (Phi) of a stellar encounter producing a specified increment in the squared velocity as well as for the encounter multiplicity coefficient (lambda) in the case of a plane homogeneous medium of field stars. When allowance is made for multiple encounters, the function Phi no longer results in the divergences typical of the kinetics of a gravitating medium.

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