Adiabatic Hamiltonian of charged particle motion in a dipole field

Details Adiabatic Hamiltonian of charged particle motion in a dipole field Adiabatic Hamiltonian of charged particle motion in a dipole field

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jgr....80..690c&link_type=abstract

Journal of Geophysical Research, vol. 80, Feb. 1, 1975, p. 690-693.

Physics

Charged Particles, Geomagnetism, Hamiltonian Functions, Magnetic Dipoles, Magnetically Trapped Particles, Particle Motion, Adiabatic Equations, Approximation, Electric Fields, Equations Of Motion, Error Analysis, Kinetic Energy, Pitch (Inclination), Relativistic Effects

Scientific paper

The Hamiltonian for a dipole field is developed, and the result is expressed by an analytic approximation accurate to within about 1%. This allows extension of results derived for equatorial particles to particles with arbitrary pitch angles; in particular, it makes available even in the presence of electric fields orthogonal to the magnetic field a function K that is preserved by the bounce-averaged motion. This function provides at once the equations of drift paths in (alpha, beta) or of their projections onto the equatorial plane; the derivation of a pacing function that times the progress of particles along such drift paths is also described.

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