Distance errors and the stellar luminosity function

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Astrometry, Astronomical Photometry, Main Sequence Stars, Stellar Luminosity, Stellar Magnitude, Astronomical Catalogs, Distance, Giant Stars

Scientific paper

A study of the stellar luminosity function in the region of the north galactic pole is described. The method is based on photometric parallaxes derived from the V-I color index. It is demonstrated that application of the classical Malmquist (1927) bias derives an incorrect luminosity function. A detailed discussion is given of the effects of Malmquist-type biases on luminosity functions, and a method is presented which effectively deconvolves the observed luminosity function to determine the intrinsic luminosity function. The method is applied to data in the north galactic pole sample. The derived main sequence luminosity function is in good agreement with other determinations based on the method of photometric parallaxes.

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