Accession Number : AD0698321

Title :   RADIATIVE TRANSFER IN SPHERICAL SHELL ATMOSPHERES WITH RADIAL SYMMETRY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Ueno,S. ; Kagiwada,H. ; Kalaba,R.

Report Date : OCT 1969

Pagination or Media Count : 34

Abstract : Initial-value systems are obtained for the scattering and transmission functions and emergent intensities for inhomogeneous, anisotropically scattering spherical media. Integro-differential equations are derived from transfer equations for each of the following problems: (1) an externally illuminated spherical shell atmosphere with a reflecting inner surface, (2) a spherical shell atmosphere surrounding a perfect black core, (3) a spherical shell atmosphere surrounding a vacuum core with a central point source, and (4) a spherical shell atmosphere with internal sources of radiation. The equations obtained in this study are new and exact. Some are derived with the aid of the probabilistic method. These equations can be integrated easily in numerical computation. (Author)

Descriptors :   (*PLANETARY ATMOSPHERES, THERMAL RADIATION), (*LINE SPECTRA, DIFFERENTIAL GEOMETRY), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, NEUTRON TRANSPORT THEORY, STARS, NEBULAE

Subject Categories : Astrophysics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE