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Formulae are given for the synchrotron radiation from a shell of relativistic electrons in a dipole field. The results obtained by evaluating these formulae by digital computer for 13 cases are presented in tables showing the intensity and polarization of the radiation in 10 zones parallel to the dipole axis Fourier transforms of the intensity and polarization for directions parallel and normal to the dipole axis are also tabulated. The partially polarized decimetric radiation observed to come from Jupiter could be obtained from such electron shells, provided that a large number of electrons have relatively flat helices. Magnetic fields of the order of 0 1-1 gauss in the emitting region and about sixty times as much at the poles are required. The electrons must have energies in the 5-75-Mev range and densities of the order of 10- - 10-2 . The problem of obtaining high-energy, flat-helix electrons in the planetary magnetic field is briefly considered.
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Chang et al. (1962) studied this question.
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