Radiative transfer in moving spherical atmospheres. I. Analytical perturbation solution for the gray case.

Details Radiative transfer in moving spherical atmospheres. I. Analytical perturbation solution for the gray case. Radiative transfer in moving spherical atmospheres. I. Analytical perturbation solution for the gray case.

Sep 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...301..511b&link_type=abstract

Astronomy and Astrophysics, v.301, p.511

Astronomy and Astrophysics

Astrophysics

3

Radiative Transfer, Methods: Analytical, Stars: Atmospheres, Novae, Cataclysmic Variables, Supernovae: General

Scientific paper

Analytical expressions for the frequency-integrated mean intensity and the total flux are obtained for expanding or collapsing spherical gray configurations in radiative equilibrium. Such radiation fields (and the corresponding temperature distributions) could up to now only be obtained by means of purely numerical work. Our formulae are based on the first two moment equations of the radiative transfer equation and a closure relation that decomposes the radiation field into an isotropic and an outward-peaked contribution and that assures consistency of the definitions of the moments and the corresponding transfer equations. The expressions are exact to first order in v/c and are therefore applicable to a wide variety of objects. The depth dependence of the opacity may be arbitrary, the important cases of power and exponential laws are considered in detail and found to result in formulae that can easily be handled. The previously known relations for static spherical and plane-parallel media are contained as special cases.

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