Transverse electric field effect on longitudinal particle acceleration in the magnetosphere

The longitudinal acceleration of particles in the magnetosphere is investigated. The longitudinal acceleration is caused by joint effect on a particle motion of transverse electric field and curvature of magnetic force lines. It is assumed, that particle collisions and wave-particle interaction are absent. It is shown that the presence of transverse magnetospheric electric field results in longitudinal acceleration of a charged particle in case of its movement along the curved geomagnetic force line