First and second order approximations of the first adiabatic invariant for a charged particle interacting with a linearly polarized hydromagnetic plane wave

Details First and second order approximations of the first adiabatic invariant for a charged particle interacting with a linearly polarized hydromagnetic plane wave First and second order approximations of the first adiabatic invariant for a charged particle interacting with a linearly polarized hydromagnetic plane wave

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977p%26ss...25..765v&link_type=abstract

Planetary and Space Science, vol. 25, Aug. 1977, p. 765-771.

Physics

Adiabatic Conditions, Charged Particles, Magnetic Moments, Magnetohydrodynamic Waves, Nonuniform Magnetic Fields, Plasma-Particle Interactions, Earth Magnetosphere, Invariance, Polarized Radiation, Solar Wind, Wave Interaction

Scientific paper

The effect of sinusoidal modulation of an electromagnetic field on the invariance of the magnetic moment is studied. Such a generalized invariant plays an important role in problems concerning the motion of charged particles in the nonuniform magnetic field of the magnetosphere or the solar wind. In order to find an adiabatic invariant J, a canonical transformation is introduced, and J is expanded in an asymptotic series in the relative modulation amplitude. The first- and second-order terms of this expansion are studied. It is shown that the curves J = constant closely fit the results obtained by a numerical integration of the system of differential equations governing particle motion.

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