The influence of uncertainties in the Sun's radius on inversions for the solar structure

Mathematics – Logic

Scientific paper

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Solar Radius, Inversion

Scientific paper

It is customary when carrying out inversions of global p-mode frequencies to assume that the radius Rsolar of the Sun is known. This can introduce systematic error, in part because the structure of the Sun between the region of acoustic propagation and the visible atmosphere is neither well known nor readily accessible seismologically, and in part because there is significant uncertainty in the direct measurements of the Sun's radius itself. We demonstrate how the influence of this error might be identified, and how it might be eliminated from structural inversions. Moreover, the solar radius itself is constrained only by the p-mode frequencies. Using the SOHO/MDI frequency data, we estimate that R = 695.69+/-0.14 Mm, which is consistent with the value determined by the f-mode frequencies (Schou et al. 1997). We believe that our result is not so sensitive to the uncertainties in the subsurface structure of the Sun because their effects on the inversions are more or less removed by taking account of the surface term.

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