A new approach to pitch angle scattering in the magnetosphere

Physics

Scientific paper

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Distribution Functions, Earth Magnetosphere, Electron Scattering, Particle Precipitation, Pitch (Inclination), Spatial Distribution, Boundary Conditions, Boundary Layer Equations, Diffusion Coefficient, Flux (Rate), Geomagnetism, Isis-B

Scientific paper

It is shown how the effects of a loss or source boundary condition at the atmospheric footpoints of a field line are smoothed by pitch angle diffusion along the field line. Starting from a quasilinear kinetic equation describing the effect of scattering, the bounce-averaged and the boundary layer equations are derived. The boundary layer equation is then solved to obtain the pitch angle distribution as a function of position along the field line. As an application, the distribution near the end of a field line is compared with ISIS particle data, giving a diagnostic measure of the strength of the scattering process and its dependence on invariant latitude and on particle energy.

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