Accuracy Analysis of the Analytical Approximation Model for Electrons Resonant Acceleration in Space Plasma

An electrons resonant acceleration analytical model is investigated.The model describes the process of the strong particle acceleration by the electromagnetic waves packet propagating across the weak constant magnetic field in space plasmas by an analytical formula.The particle strong acceleration is carried out under strict compliance with the Cherenkov resonance conditions.Based on the exact solutions of the second order nonlinear nonstationary differential equation for the wave phase on the charged particle trajectory the initial numerical results are obtained.The calculations using the analytical model are also made.Compering the numerical results, the accuracy of the analytical model was accessed.The model accuracy results are presented in graphical forms.Conclusions on the analytical model applicability of charged particles resonant acceleration studies in space plasma are drawn.