EVOLUTION OF THE COMETARY CLOUD UNDER THE ACTION OF STELLAR PERTURBATIONS

The probability of variation of the integrals of the orbit as a result of an encounter was found for a two dimensional system. A method of s olution of the Kolmogorov-Feller's equation is obtained using this pro bability function as a kernel, and it allows us to obtain the distribu tion of the integrals of the orbit as a function of time. The method i s applied to the investigation of the evolution of orbits in the outer cometary cloud under the action of galactic stars. We consider the va riations of orbits as a purely discontinuous random process, so we tak e into account not only distant but also close interactions.