The dynamics of the energetic proton bursts in the course of the magnetic field topology reconstruction in the earth‘s magnetotail

The paper considers the energy spectrum of particles accelerated near X-point of the magnetic field in the course of the tearing instability development in the current layer. The time dynamics of the spectrum at the linear and nonlinear stages of the instability is studied. The contribution of the particles inflowing into the vicinity of the magnetic X-point due to drift in the crossed electrical and magnetic fields was also taken into account. The dynamics of particle acceleration is numerically simulated and the results of the simulation are compared with the theoretical model. The analytical and numerical calculations are in reasonable agreement with the results of IMP satellites 7 and 8 energetic proton measurements in a wide energy interval.