A significant new finding from analysis of Pioneer 11 observations in the magnetosphere of Jupiter is that there is net streaming of both electrons Ee>40 keV and Ee>560 keV and protons 0.61<Ep<3.41 MeV away from the planet along high latitude field lines. This result is compatible with the recent suggestion of Nishida that energetic particles undergo trans-L shell diffusion at low altitudes without significant change of energy. Our new finding coupled with his hypothesis and other considerations provides a plausible explanation for the remarkable pitch angle distributions near the equator in the range 12