Further progress on the helium abundance determination

Computer Science – Numerical Analysis

Scientific paper

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Helium, Solar Atmosphere, Stellar Composition, Sun, Asymptotic Methods, Atmospheric Chemistry, Numerical Analysis

Scientific paper

Progress in attempting to determine the helium abundance in the solar convection zone by analyzing the position and shape of the helium hump in a thermodynamic quantity which can be inferred from the sound speed in the vicinity of the He II ionization zone is reviewed. The sound speed is estimated from frequencies of high-degree oscillations by a differential asymptotic technique. The helium abundance Y is then determined by fitting the hump inferred to one obtained by interpolation in a grid of theoretical model envelopes. The procedure was tested carrying out a double-blind experiment on artificial data, showing that accurate knowledge of the equation of state is essential for a useful determination. The procedure was also applied to real solar data, but the frequencies are too poorly determined to obtain a reliable estimate of Y in the Sun.

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