Parallax estimation using both trigonometric and photometric parallaxes

Mathematics – Probability

Scientific paper

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Astronomical Catalogs, Probability Density Functions, Stellar Magnitude, Stellar Parallax, Stellar Spectrophotometry, Astronomical Photometry

Scientific paper

An expression is derived for the probability density of the true parallax given a star's apparent magnitude and measured trigonometric parallax and the absolute magnitude distribution for its type. This expression allows calculation of the most probable parallax, which is compared with the conventionally-used weighted mean. The problem of compiling a catalogue of nearby stars is reconsidered.

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