Generalized Compton-Getting transformation for nonrelativistic particles

Statistics – Computation

Scientific paper

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Charged Particles, Compton Effect, Cosmic Rays, Energy Distribution, Solar Wind, Transformations (Mathematics), Computational Astrophysics, Distribution Functions, Integral Equations, Spherical Harmonics

Scientific paper

The problem of how to construct the particle distribution function in a frame of reference that moves with respect to the frame in which the observations were made is considered. The starting point of the analysis is to expand the velocity distribution functions in both frames of reference in spherical harmonics. A solution of this so-called transformation problem is given in integral form, together with a method that allows practical application. The (optimum) data acquisition and data reduction method is discussed in detail. Six examples are given that illustrate various aspects of the transformation problem. Finally, the transformation method is tested and conditions for a reliable construction of the three-dimensional distribution function in the moving frame are investigated. The statistical aspects of the problem are briefly discussed.

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