To construct realistic models of the RC that describes its structure during magnetic storms of different intensity, quantitative patterns of the variations of the main parameters of the radial profile of the RC energy density are necessary. Such patterns are of high importance both for theoretical studies and mathematical modeling of the dynamics of the magnetosphere, and for many applied problems.

This is a continuation of work published in Annales Gephysicae between 2016 and 2020. In this paper, a new method for analyzing experimental data is proposed, calculations are carried out, and a new class of distributions of particles of radiation belts is constructed. As a result of this work, new, finer physical regularities of the structure of the Earth's proton radiation belt and its solar-cyclic variations have been obtained, which cannot be obtained by other methods.

Spatial-energy distributions of the stationary fluxes of protons, helium ions, and ions of the carbon–nitrogen–oxygen (CNO) group in the Earth's radiation belts (ERBs) are considered here using data from satellites from 1961 to 2017. It is found that the results of these measurements line up, with some regular patterns present. Solar-cyclic (11-year) variations in the distributions of protons, helium ions, and CNO group ion fluxes in the ERB are presented.

Distributions of proton fluxes in the Earth's Radiation Belts (ERB) are well studied and the NASA empirical models constructed for them. For heavier ERB ions (helium, oxygen, etc.) there are only fragmentary data and no sufficiently complete and reliable empirical models. Using our methods, these data one can streamlined, linked to each other and get a regular picture that has a simple physical meaning.

From the data on the protons of the Earth’s radiation belts, the rate of radial diffusion of these particles is directly calculated. This is done by solving the systems of equations which describe the balance of radial transport/acceleration and ionization losses of protons. These results are very consistent with the radial diffusion of particles under the influence of the electric field pulsations in the range of the drift frequencies of the protons around Earth.