Statistics – Computation
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...274..380r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 274, Nov. 1, 1983, p. 380-398.
Statistics
Computation
64
Astronomical Photometry, Celestial Sphere, Luminosity, Radiative Transfer, Absorption Spectra, Emission Spectra, Entire Functions, Line Spectra, Radiant Flux Density, Rotating Disks
Scientific paper
Radiation emitted by a three-dimensional medium and received by a distant observer is expressed in terms of the specific luminosity, which can be evaluated in terms of escape probability functions for the medium. This approach is simpler in many cases than an integration over the plane of the sky, because it allows any symmetries of the problem to be more fully exploited. Integral theorems are derived involving averaged escape probabilities that generalize a theorem of Irons. Analogous results are presented for a three-dimensional line-emitting region in the Sobolev (or large velocity gradient) limit. To illustrate the theory, results for expanding spherical media and differently rotating thin disks are discussed. Computationally useful results for several related escape probability functions are given.
Hummer David G.
Rybicki George B.
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