Determination of the solar sound speed by an asymptotic inversion technique

Computer Science – Sound

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Acoustic Velocity, Asymptotic Methods, Helioseismology, Solar Interior, Sound Waves, Least Squares Method, Solar Atmosphere, Spline Functions, Weighting Functions

Scientific paper

An asymptotic inversion technique is developed using a weighted least-squares bicubic spline fit to the observational data. The accuracy of the asymptotic approach is discussed, and it is shown that the asymptotic theory is adequate to determine the sound speed in the solar interior between 0.4 and 0.9 R. The inversion of the data of Duvall et al. (1988) shows that the sound speed between 0.4 and 0.7 R is 1 percent greater than in the standard solar model 1 of Christensen-Dalsgaard (1982); this result is in agreement with the previous asymptotic inversion of Christensen-Dalsgaard et al. (1985) and also that of Christensen-Dalsgaard et al. (1988). It is also consistent with the inversions presented by Gough and Kosovichev (1988) using a kernel function approach.

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