Abstract
view Abstract Citations (7) References (12) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Three-Dimensional Form of the Eddington Approximation Wilson, P. R. Abstract Derivations of the three-dimensional form of the Eddington approximation by Giovanelli and by Unno and Spiegel are examined and shown to be equivalent. They are compared with an earlier form obtained by Chandrasekhar for stellar interiors and shown to be superior near the surface. A third derivation is given which permits one to obtain a mathematically consistent boundary condition for zero incident flux on a plane surface This is similar to Krook's boundary condition for the one-dimensional problem. This derivation also permits the investigation of the accuracy of this approximation in a three-dimen- sional atmosphere. While in general agreement with Unno and Spiegel's claims for the value of the ap- proximation in astrophysical investigation, this paper disagrees with their general conclusions for opti- cally thin atmospheres and discusses several examples where errors are found. Finally, the importance of the three-dimensional approximation is emphasized in applications to atmospheres in which both in- tensity and opacity fluctuate generally Publication: The Astrophysical Journal Pub Date: March 1968 DOI: 10.1086/149501 Bibcode: 1968ApJ...151.1019W full text sources ADS |
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