The ratio of diffuse to direct solar irradiance (perpendicular to the sun's rays) with clear skies - a conserved quantity throughout the day.

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Abstract

The ratio of diffuse irradiance to direct normal is a conserved quantity throughout the day. Though its absolute value depends on the condition of the atmosphere, ground reflection and obstruction of horizon, once this value is established (by a single measurement) in rural regions, it persists over the entire day. -from Authors

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Peterson, W. A., & Dirmhirn, I. (1981). The ratio of diffuse to direct solar irradiance (perpendicular to the sun’s rays) with clear skies - a conserved quantity throughout the day. Journal of Applied Meteorology, 20(7), 826–828. https://doi.org/10.1175/1520-0450(1981)020<0826:TRODTD>2.0.CO;2

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