Periodic Oscillations of the First Generation in the Störmer Problem
Abstract
The considered problem was formulated by Stoermer (1907) in connection with auroral and cosmic rays phenomena. Van Allen et al. (1959) discovered charged particles performing motions under conditions almost identical to those postulated in Stoermer's problem. The existence of two integrals and of one ignorable variable permit the study of the motion of the particle in its own meridian plane. In this plane, the periodic families of first generation are considered. Other families branch off from these families with periods which are integral multiples of the periods of the orbits at the branching point. Attention is given to a qualitative description of the motion of a charged particle in a dipole and zero-velocity curves.
- Publication:
-
Long-Time Predictions in Dynamics
- Pub Date:
- 1976
- Bibcode:
- 1976ASIC...26..267G
- Keywords:
-
- Magnetic Dipoles;
- Magnetically Trapped Particles;
- Particle Motion;
- Auroras;
- Cosmic Rays;
- Hamiltonian Functions;
- Magnetic Fields;
- Relativistic Particles;
- Steepest Descent Method;
- Space Radiation