A comparison of three methods for computing line profiles in spherical envelopes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Gas Spectroscopy, Line Shape, Radiative Transfer, Spectral Energy Distribution, Stellar Envelopes, Absorption Spectroscopy, Doppler Effect, Flow Velocity, Frequency Shift, Mathematical Models, Molecular Spectra

Scientific paper

A variety of line profiles have been computed in both static and moving envelopes, using three different methods: the Grant-Peraiah method, Stenholm's core-saturation comoving-frame technique and the generalized Sobolev method. Comparison of the results shows no significant differences in accuracy between the first two methods, and defines clearly the limitations of the Sobolev method, which was nevertheless found surprisingly good in many cases. In particular, it is shown that the error introduced by the Sobolev approximation can affect the emergent flux integration much more severely than the source function.

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