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Speiser & Lyons 1984
Speiser, T.W. and Lyons, L.R. (1984). Comparison of an analytical approximation for particle motion in a current sheet with precise numerical calculations. Journal of Geophysical Research 89: doi: 10.1029/JA089iA01p00147. issn: 0148-0227.

Approximate analytic solutions exist for particle motion in a one-dimensionl current sheet with a constant normal magnetic field component. These solutions are tested against precise numerical calculations, and a range of the analytic solutions is inferred. For example, in the geomagnetic tail neutral sheet, for a dawn-dusk electric field of 0.1--1 m V/m, lobe field of 10--40 n, and sheet thickness of 1000 km, the analytic solutions as a good predictor of particle motion when the normal magnetic field component is less than 3 or 4 nT. By using the analytic solutions, distribution functions are mapped into final (accelerated) distributions, and the analytic mappings are compared with numerical mappings.

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Abstract

Journal
Journal of Geophysical Research
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American Geophysical Union
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