Exact parametric solutions for planar motions exist in the relativistic Störmer problem, with radiation power spectra showing distinct preferred frequency peaks.
Walt, Introduction to Geomagnetically Trapped Ra- diation, Cambridge Atmospheric and Space Science Se- ries, Cambridge University Press, 1994
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Exact solutions, trajectories and radiation patterns in the classical relativistic St\"{o}rmer problem
Exact parametric solutions for planar motions exist in the relativistic Störmer problem, with radiation power spectra showing distinct preferred frequency peaks.