Modeling of registration of high-energy electrons and positrons by means of their synchrotron radiation in the Earth's magnetic field

In the PAMELA experiment, the anomalous effect of increasing the positron fraction in the total electron-positron flux of galactic cosmic rays at energies above ~ 10 GeV was found for the first time. In the AMS-02 experiment, the positron flux was extended to the TeV region of energies. These measurements confirmed the unusual positron spectrum behavior at high energies. At the moment, various theories of production and acceleration of positrons to such energies are actively discussed. To test these theoretical models, independent measurements of positron and electron fluxes at energies ~ 1 TeV and above are necessary. In the present work we studied the applicability of the technique for detecting positrons and electrons in the TeV energy range by means of their synchrotron radiation in the Earth's magnetic field. We simulated the detection of positrons and electrons using this technique at different orbits and latitudes. It was shown that polar regions provide greater detection efficiency. Based on current data on the total electron-positron flux of cosmic rays in the TeV energy range, it was obtained that the high-latitude orbit of the planned Russian Orbital Service Station provides greater statistics than that of the International Space Station. The calibration dependences allowing to reconstruct the energies of charged particles from their synchrotron photon registration are analyzed.