Analytical description of the charged particle dynamics in the field of a spherical magnetic dipole

The equations of charged particle motion in the earth’s magnetic field are analyzed. Analytical data allow us to estimate important parameters of the charge dynamics, such as the charge capture conditions, oscillation amplitude and frequency, and longitudinal drift, and also relate these parameters to the parameters of the charged particles and the height of their trajectory. The results may be used in designing space vehicles intended for investigation of the near-earth space, specifically, earth’s magnetosphere, with charged particle beams.