Mathematics – Logic
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jgr....81.4553b&link_type=abstract
Journal of Geophysical Research, vol. 81, Sept. 1, 1976, p. 4553-4560.
Mathematics
Logic
7
Diffusion Coefficient, Energy Dissipation, Jupiter Atmosphere, Jupiter Probes, Relativistic Particles, Synchrotron Radiation, Bessel Functions, Boundary Value Problems, High Energy Electrons, Laplace Transformation, Magnetic Mirrors, Pioneer Space Probes, Steady State, Step Functions
Scientific paper
The radial diffusion equation with synchrotron losses is solved by the Laplace-transform method for near equatorially mirroring relativistic electrons. The evolution of a power-law distribution function is found, and the characteristics of synchrotron burnoff are stated in terms of explicit parameters for an arbitrary diffusion coefficient of a specific form. The peaking of the 10.4-cm volume emissivity from Jupiter at an L shell of about 1.8 provides an estimate of the diffusion coefficient in the radiation belts; one value is suggested as the appropriate modification, for an equatorial field strength of 4.2 G, of the Birmingham et al. (1974) result. Nonsynchrotron losses are included phenomenologically; from the phase-space densities reported by McIlwain and Fillius (1975), the particle lifetime is estimated. Asymptotic forms for the distribution in the strong synchrotron loss regime are provided.
Barbosa Domingos
Coroniti Ferdinan V.
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