A new inversion of solar rotational splitting data

Physics

Scientific paper

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Solar Rotation, Solar Spectra, Data Acquisition, Inversions, Spectral Line Width, Splitting

Scientific paper

The fine structure of the solar p-mode spectrum is used to obtain an estimate of the sun's internal rotation rate, as a function of both latitude and depth, for fractional radii in the range of r/R = 0.55-0.85. The problems which affect the results of the inversion causing limited resolution and other systematic errors are discussed in detail. It is shown that systematic errors can be avoided by seeking not a functional form of the rotation rate but rather the values of suitably weighted averages of the rotation rate (or of functions derivable from it); and that the value of a broad average over depth of the radial gradient of the solar rotation rate, concentrated in the convection zone, is consistent with the gradient being zero in this region, but is apparently inconsistent with the picture of constant rotation on cylindrical surfaces aligned with the rotation axis.

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