Approximative methods for calculating the radiation inside a planetary atmosphere

Statistics – Computation

Scientific paper

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Computational Astrophysics, Planetary Atmospheres, Planetary Radiation, Albedo, Atmospheric Models, Rayleigh Scattering

Scientific paper

Two approximative methods for computing the internal radiation of a plane-parallel atmosphere with finite optical thickness are proposed. The methods use the external radiation and the equation of transfer to obtain the slope of the radiation with respect to the optical depth at the boundaries of the atmosphere. The values and slopes of the radiation at the boundaries constitute an approximation for the radiation near the boundaries of the atmosphere, called the border approximation. In the second method these values and slopes are used to obtain a cubic polynominal fit that provides an approximation for the internal radiation field at all optical depths, called the cubic polynominal approximation. It is concluded that the methods make it possible to approximately obtain the dependence of intensity and polarization on direction and optical depth.

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