Sound velocity distribution in the Sun inferred from asymptotic inversion of p-mode spectra

Details Sound velocity distribution in the Sun inferred from asymptotic inversion of p-mode spectra Sound velocity distribution in the Sun inferred from asymptotic inversion of p-mode spectra

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988esasp.286..471s&link_type=abstract

In ESA, Seismology of the Sun and Sun-Like Stars p 471-474 (SEE N89-25819 19-92)

Computer Science

Sound

7

Acoustic Velocity, Asymptotic Methods, Solar Spectra, Spectrum Analysis, Sun, Velocity Distribution, P Waves, Schroedinger Equation, Solar Interior, Sound Waves

Scientific paper

The inverse problem of the solar p-mode spectrum is solved, based on an asymptotic inversion method, and the sound velocity distribution is inferred with accuracy better than a few percent. In this method, the equation governing high order p-mode oscillations is reduced to a form of the Schrodinger equation in quantum mechanics. By using the quantization rule based on the WKBJ method, an integral equation to infer the form of the acoustic potential is formulated. The acoustic potential itself consists of two parts. One of them is dependent on the degree l and the sound velocity and is the dominant term in the deep interior while the other is independent of l and dominates in the outer envelope. By examining the l-dependence of the acoustic potential thus inferred, the two terms are separated, and the sound velocity distribution in the Sun is inferred. This method is applied to the real observational data, to obtain the sound velocity distribution in the Sun. There is a small discrepancy between the model and the inferred result in the range r/R = 0.3 to 0.4.

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