Stochastic Diffusion of Keplerian Particles

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Date
2015-06-22
Authors
Nugd Alla, Sarah Abd Alla Abd El Rahman
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Publisher
UOFK
Abstract
In this study we investigate the stochastic diffusion of particles in Keper orbits. The fakker-Planck equation is formulated, which is reduced to a diffusion equation, applied to interplanetary gas particles in the vicinity of the sun, in terms of integrals of the impulse free motion. The general solution of the diffusion equation is obtained in terms of a 4-dimensional normal distribution. To overcome the singularities in the Fokker-Planck operator we reduce the dimensionally b9gone. Also we discuss the stochastic diffusion of charged dust particles due to their, interaction with the interplanetary magnetic field. The resulting diffusion equation is solved explicitly for the distribution function. The net diffusion is almost everywhere towards the sun, and the density increase is significant in the downstream wake, where destructive depletion is strong and gravitational focusing is weak.
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Keywords
the stochastic diffusion, The fakker-Planck equation, interplanetary gas
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