Lutz–Kelker bias

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The Lutz–Kelker bias is a systematic bias that results from using the assumption that the number of observable stars increases with the square of the distance. In particular, it causes measured parallaxes to stars to be larger than their actual values. For a given parallax measurement with an accompanying uncertainty, both stars closer and farther may, because of the uncertainty, appear at the given parallax figure. But there are more stars in the volume shells at the farther distance, biasing the measurement. This causes inferred luminosities and distances to be too small, which poses a problem to astronomers trying to measure distance. The existence of this bias and the necessity of correcting for it has recently become relevant in astronomy with the precision parallax measurements made by the Hipparcos satellite.

The original description of the phenomenon was described in a paper by Thomas E. Lutz and Douglas H. Kelker in the Publications of the Astronomical Society of the Pacific, Vol. 85, No. 507, p. 573 article entitled "On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory."[1]

References[edit]

  1. ^ Lutz, Thomas E.; Kelker, Douglas H. (1973). "On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory". Publications of the Astronomical Society of the Pacific 85: 573. Bibcode:1973PASP...85..573L. doi:10.1086/129506.