Frame transformation of spherical-harmonic coefficients of differential particle intensity |
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| Authors: | C K Ng |
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| Institution: | (1) Dept. of Mathematics, University of Malaya, Kuala Lumpur, Malaysia |
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| Abstract: | We present a general second-order-correct frame transformation on spherical-harmonic coefficients of differential particle intensity. The transformation, valid for relativistic particles as well, provides a clear view of the Compton-Getting effect. It shows explicitly how each transformed harmonic coefficient depends on a subset of the original harmonic coefficients. The general expression for the first-order Compton-Getting vector anisotropy is derived and interpreted. In addition, we show how the new transformation allows one to simplify a current procedure for determining the directional intensity in a comoving frame. This involves the directional particle data measured on a spacecraft. |
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