The calibration problem. III - First-order solution for mean absolute magnitude and dispersion

Mathematics – Probability

Scientific paper

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Astrometry, Calibrating, Stellar Magnitude, Distance, Parallax, Probability Theory, Stellar Luminosity

Scientific paper

Trigonometric parallaxes are presently used to derive an approximate first-order method capable of estimating the mean and intrinsic dispersion of absolute magnitudes for a homogeneous stellar group. Attention is given to this method's relation to the probabilistic constraints considered by Eichhorn (1978). The method is approximate, being based on the expansion of an exponential to first order.

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