The integral of the Planck distribution for radiation in the wavelength version can be integrated in terms of polylogarithms. We can therefore introduce a theoretical color theory for astronomical purposes. In particular, we investigate the two colors (B-V) and (U-B) and the bolometric correction in the framework of the incomplete Planck integral. Some of the astronomical variables of the Hertzsprung-Russel diagram, such as the absolute visual magnitude, radius, and mass, are derived as functions of (B-V) for nearby main sequence stars. The logarithm of the gravity is derived as a function of the temperature.
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