Abstract
THE intensity of radiation is represented by special polynomials depending on the frequency. A segment of the series and the corresponding number of moments of the transfer equation lead to a system of transfer equations of the coefficients of the expansion. The first term of the series and the first moment of the transfer equation correspond to the case of a grey gas with the Planck averaged absorption coefficient. A similar system of equations is obtained for calculating the radiative transfer at the frequencies of the spectral lines. This approach makes it possible to perform the required treatment of the optimal properties of a gas as a function of frequency and to integrate with respect to frequency for the solution of the problem as a whole. An example of the calculation of selective radiation illustrates the application of the method for calculating one-dimensional radiative equilibrium.
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