Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...148..405s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 148, no. 2, July 1985, p. 405-411.
Astronomy and Astrophysics
Astrophysics
14
Late Stars, Sobolev Space, Stellar Envelopes, Stellar Mass Ejection, Stellar Winds, Supergiant Stars, Line Spectra, Opacity, Radiative Transfer, Turbulence, Wind Velocity
Scientific paper
A systematic analysis of Sobolev's (1947) approximation for the source functions and line profile of an expanding stellar envelope has been carried out. Exact solutions are obtained for the radiative transfer equation at various velocity ratios using a Lambda iteration in the comoving frame. It is shown that, contrary to former results, the validity of the Sobolev approximation depends not only on velocity ratio, but also on the opacity structure of the envelope. Large opacities and steep opacity gradients may cause severe errors in the Sobolev approximation even at high velocity ratios. Comparison of the methods of Castor (1970) and Lucy (1971) for solving the radiative transfer equation yielded nearly identical results. Lucy's source function is generalized to apply to systems similar to Zeta Aurigae/VV Cep, and cases where the non-LTE parameter epsilon is not zero.
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