Statistics – Computation
Scientific paper
Mar 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985afz....22..387s&link_type=abstract
(Astrofizika, vol. 22, Mar.-Apr. 1985, p. 387-409) Astrophysics (ISSN 0571-7132), vol. 21, no. 2, Sept. 1985, p. 233-246. Transl
Statistics
Computation
1
Computational Astrophysics, Line Shape, Radiative Transfer, Reference Atmospheres, Velocity Distribution, Atmospheric Models, Optical Thickness, Scattering Functions, Transfer Functions
Scientific paper
An attempt is made to study the problem of line formation in moving atmospheres in as much detail as has been done elsewhere for atmospheres at rest. Line source functions (LSF) are accurately calculated by direct numerical solution of the integral equation for the LSF. The profiles of the emergent radiation for semiinfinite atmospheres and for atmospheres of finite optical thickness are also calculated. The results are compared with analytic ones, and the dependence of the solution on the parameters of the problem is discussed in detail. A simple approximate method for finding the LSF is reported which is valid for all values of the parameters that occur in the problem and for a sufficiently small velocity gradient. When this approximation is used, the errors in the source function do not exceed a factor of two.
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