Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.265.1053k&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 265, p. 1053
Astronomy and Astrophysics
Astronomy
11
Stellar Convection, Helium, Abundance, Stellar Oscillations, Stellar Structure, Hydrostatics, Seismology, Stellar Interiors
Scientific paper
A new inversion technique is presented for measuring the depth of stellar convection zones and the helium abundance from oscillation frequencies of low-degree modes. It is based on a linearized variational principle for stellar oscillations, reformulated in terms of a parameter of convective stability (which is proportional to the radial gradient of the specific entropy) and the helium abundance, by using the equations of hydrostatic support of stellar structure and the equation of state. In addition, it is assumed that the parameter of convective stability is close to zero in the zones of adiabatic convection. It is then possible to locate the lower boundary of the convection zone in the envelope by applying a regularized least-squares fit to the oscillation frequencies. It is demonstrated that the technique works for low-degree data alone, such as can be obtained from full-disk measurements. The technique has been applied to solar data obtained from the IPHIR instrument on the Phobos spacecraft. The estimates of the solar helium abundance and the depth of the convection zone so obtained are discussed.
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