A nonadiabatic theory of motion of charged-particles in a geomagnetic dipole field

A nonadiabatic model of particle motion in a geomagnetic dipole field is developed on the basis of a traditional adiabatic model. The new model makes it possible to make short-term (about one period of longitudinal oscillations) predictions for nonadiobatic dynamics of trapped high-energy particles, such as the leading force line, the magnetic moment, and the loss cone. Knowing the values of the loss cone and the magnetic drift, and using Chirikov's (1984) theory of determinate chaos, it is possible to make long-term predictions of the particle-motion evolution.