Theoretical considerations on the validity of 'radiative-conductivity' in planetary surface layers

Physics

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Planetary Surfaces, Porous Materials, Radiative Transfer, Soils, Surface Layers, Eddington Approximation, Lunar Soil, Opacity, Specific Heat

Scientific paper

The radiative transfer theory for porous planetary soils is reviewed in view of the fact that relevant data of observed brightness temperatures for lunation and eclipse cooling are not fully consistent with theory. The method of adding a term in the cube of the temperature in order to account for radiative transfer is related to the Eddington approximation. It is shown that the more general theory - which remains valid at shallow depths - can be made to yield the previously used theory involving the heat-diffusion equation and boundary condition on the temperature gradient, provided that the 'atmospheric' region of the soil possesses negligible heat capacity. A quantitative criterion on the basis of the thermal parameters of the porous soil is derived which shows that the need for a more general theory for the moon appears somewhat marginal. A newer more approximate theory for radiative transfer in the outermost layers is proposed.

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