Stellar Angular Diameters and Visual Surface Brightness -- I LATE SPECTRAL TYPES

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Abstract
Numerous stellar angular diameters found at occultation permit the relationship between surface brightness and colour index to be defined for stars as late as M8. The best relationship is found for the index (V–R) and is well defined for the entire range of stellar temperatures, without dependence on luminosity class. The relationship is valid for M, S and C stars and almost independent of interstellar extinction. It applies to a wide range of variable stars. Angular diameters determined at occultation are closely consistent with those found by other methods and have certain advantages of ease and simplicity. The relationship is compared with other calibrations of effective temperature and bolometric correction. It is conjectured that the relation remains valid during the cycle of each type of variable to which it applies. A first discussion of an application to a Mira is given with promising results. If correct, the conjecture has extremely wide applicability and intensive work on this is in progress.

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