The radial distribution of radiation belt protons Approximate solution of the steady state transport equation at arbitrary pitch angle

Details The radial distribution of radiation belt protons Approximate solution of the steady state transport equation at arbitrary pitch angle The radial distribution of radiation belt protons Approximate solution of the steady state transport equation at arbitrary pitch angle

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jgr....89.1527j&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 89, March 1, 1984, p. 1527-1539. Sponsorship: Deutsche Forschungsgemeinsc

Physics

5

Particle Diffusion, Proton Belts, Radiation Belts, Charge Exchange, Energy Dissipation, Energy Spectra, Partial Differential Equations, Radial Distribution, Steady State

Scientific paper

The steady state proton flux in the earth's radiation belt is analyzed in detail based on a first-order partial differential equation which is equivalent to the radial diffusion equation with charge exchange and energy degradation included. It is found that for the most part of invariant space, the diffusion flux is directed inward. However, it is directed outward in a narrow L range centered on L about two, when charge exchange and energy loss are of comparable importance. Radial diffusion and losses strongly modify the proton flux's spectral shape, with the spectra exponentially decreasing at the outer boundary, becoming flat around L = 3.5, and assuming large positive gradients further downward. Proton fluxes gain anisotropy in the course of diffusion; the diffusion coefficient governs both the magnitude and the shape of the proton flux. External effects are important in the diffusion-dominated zone, but are relatively unimportant in the loss-dominated region.

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