The third central moment of photospheric lines as a measure of velocity gradients and line shifts

Astronomy and Astrophysics – Astrophysics

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Doppler Effect, Solar Granulation, Solar Spectra, Statistical Analysis, Velocity Distribution, Distribution Functions, Optical Thickness, Spectral Resolution

Scientific paper

The significance of the third central moment (M3) of photospheric line profiles as an indicator of velocity, temperature and pressure perturbations is analyzed. A linear inversion method is applied to the third central moments of a set of synthetic lines computed using the temperature structures of the B2 and D2 models of Altrock and Musman (1976) for the granular and intergranular atmospheres, respectively, in order to derive mean photospheric velocity gradients. It is found that for data taken with infinite spatial resolution, M3 is a nearly linear measure of the velocity gradients, whereas at finite resolution it is essentially determined by the different weights of the shifted granular and intergranular line components. Results also suggest a means of disentangling velocity gradients and the horizontal integration of inhomogeneities.

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