Mathematical modeling of the resolution of a spectrometer designed to study the charge and isotope compositions of low energy cosmic rays

Mathematical modeling of the process of detection of nuclei by a specially designed spectrometer is described and the main errors of the method are examined. The modeling yielded a dependence of the energy range in which the instrument is capable of separating the nuclei by mass $A$ on their charge $Z$. It is shown that the resolution of the spectrometer can be improved if about half of the nuclei detected are excluded from consideration. The results obtained are compared with accelerator experiment data.