The theoretical formulae derived in this paper allow a rapid numerical modelling of clear sky colours under various aerosol loadings. After a detailed description of physical models of the atmosphere, numerical examples are performed for different situations. It is shown that the colours of daylight may become unstable even under cloudless conditions, which might become important for daylight photometry, colorimetry and related engineering applications. Based on the calculations, the isolines of hue and saturation are shown in figures related to the CIE u′v′ chromaticity description.
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