Line formation in expanding atmospheres - On the validity of the Sobolev approximation

Astronomy and Astrophysics – Astrophysics

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Approximation, Gas Expansion, Radiative Transfer, Stellar Envelopes, Stellar Models, Computer Programs, Formalism, Stellar Spectra, Stellar Winds

Scientific paper

Theoretical P Cygni profiles are calculated on the basis of a comoving-frame formalism and compared to those obtained from the Sobolev approximation. It is found that serious, systematic deviations occur over the whole line profile if realistic Doppler-broadening (turbulence-) velocities are considered. The error in the Sobolev approximation arises mainly from the treatment of the formal integral and, to a lesser extent, from the approximated source function. The investigation also encompasses the problems of overlapping doublets and underlying photospheric components. For the comoving-frame calculation, an economic iteration procedure is given, and the formalism is extended to line blends.

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