Relativistic electron in curved magnetic fields

Details Relativistic electron in curved magnetic fields Relativistic electron in curved magnetic fields

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icrc....2..398a&link_type=abstract

In NASA. Goddard Space Flight Center 19th Intern. Cosmic Ray Conf., Vol. 2 p 398-401 (SEE N85-34006 22-93)

Astronomy and Astrophysics

Astrophysics

Cosmic Rays, Electron Trajectories, Interstellar Magnetic Fields, Magnetic Effects, Particle Motion, Relativistic Particles, Curvature, Differential Equations, Drift Rate, Nonlinear Equations, Perturbation Theory, Pitch (Inclination)

Scientific paper

Making use of the perturbation method based on the nonlinear differential equation theory, the author investigates the classical motion of a relativistic electron in a class of curved magnetic fields which may be written as B=B(O,Bphi, O) in cylindrical coordinates (R. phi, Z). Under general astrophysical conditions the author derives the analytical expressions of the motion orbit, pitch angle, etc., of the electron in their dependence upon parameters characterizing the magnetic field and electron. The effects of non-zero curvature of magnetic field lines on the motion of electrons and applicabilities of these results to astrophysics are also discussed.

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