A Diffusion Model of Radial Distributions of Energetic Protons in Saturn's Magnetosphere

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A simple diffusion model of Saturn's radiation belts with a constant internal source and particle losses at the boundaries is considered. The radial diffusion coefficient is supposed to be DLL ∝ L4. The analytical solution to the stationary diffusion equation describes well the observed radial profiles of the distribution function of energetic protons in Saturn's magnetosphere.

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