Abstract
Abstract The differential flux J(E) observed in space radiations can be related to the characteristics of the particle momentum distribution functions. In fitting flux spectra by a sum of Maxwellians or by power laws, the slope of the differential flux is associated with the characteristic energy of the distributions and the normalization constant is proportional to the density. The goal of this work is to obtain a density-energy description of the radiation belts by using the kinetic approach. Starting from the proton spectra of the radiation belt models AP-8 MIN and AP-8 MAX, we show that the best fits are given by a power law at 1.8L
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