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The international network of neutron monitors is still the only reliable source of data on relativistic solar protons (RSP) recorded during solar cosmic ray events. The characteristics of these particles are determined by the international network of neutron monitors (NM) through the GLE modeling. By now, systems for collecting data from neutron monitors in real time have been created. One of those systems is the NMDB. With the development of computer technology, techniques that make it possible to determine parameters of the RSP during the GLE with good accuracy have appeared. Taking into account the fact that the duration of the GLE is usually several hours, such methods allow us to carry out the dynamics of the parameters of the RSP (spectrum slope, pitch-angular distribution, anisotropy axis) during the GLE. Relativistic cosmic rays come from the Sun to the Earth with delay about 11 minutes, but the intensity of energetic cosmic rays (above 500 MeV) is quite low and does not pose a serious radiation hazard. Due to the fact that a RSP spectra have a single form from 100 MeV to 10 GeV, it is possible due to determining the spectrum by neutron monitors in the high-energy region (> 500 MeV) to predict the radiation-hazardous fluxes of particles of moderate energies, since their arrival on Earth is delayed up to several hours.