The range of validity of the Eddington approximation

Details The range of validity of the Eddington approximation The range of validity of the Eddington approximation

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977icar...32..362w&link_type=abstract

Icarus, vol. 32, Nov. 1977, p. 362-377.

Physics

3

Albedo, Atmospheric Scattering, Eddington Approximation, Mie Scattering, Planetary Atmospheres, Radiative Transfer, Angular Distribution, Differential Equations, Integral Equations, Optical Thickness, Rayleigh Scattering, Stellar Atmospheres, Transmissivity

Scientific paper

It is shown that the plane-parallel Eddington approximation for the integrodifferential equation of radiative transfer may provide reasonably accurate predictions of albedo and absorptivity for all values of optical depth and single-scattering albedo, for scattering phase functions (Rayleigh, Henyey-Greenstein and Mie) with asymmetry factors less than or equal to one-half. The Eddington approximation is found to be least effective for intermediate values of optical depth and single-scattering albedo. For case of substantial backward or forward peaking of the scattering phase function (as in the Mie function), the delta-Eddington approximation yields good results.

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