Physics
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jqsrt..19..439s&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 19, Apr. 1978, p. 439-450.
Physics
1
Atmospheric Physics, Milne Method, Radiative Transfer, Stellar Atmospheres, Approximation, Closure Law, Eddington Approximation, Opacity
Scientific paper
A method for obtaining approximate solutions to the radiative-transfer equation in spherically symmetric systems, which is based on the use of an adequate hypothesis to close the system of the intensity mu-moments, is generalized and improved. In this method, certain new variables are introduced to represent the radiation field, so that the moment system can be closed at any order, while the explanation of the principal properties of the radiation field is preserved even for first approximations. Quadrature weights that vary with radial distance according to a law obtained from the solution of the mu-moment system are proposed as these variables. The method is improved in such a way that it can be applied to the surface of an atmosphere with a small opacity scale height. Applications of the method to the conservative Milne problem are discussed, and the quality of the zeroth-order, first, and 'highest' approximations is assessed.
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