Lutz-Kelker bias

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The Lutz-Kelker bias , sometimes also referred to as the Lutz-Kelker-Hanson bias , is a systematic statistical error in astronomy when determining distances using parallax . Without correction, the distance to a group of objects is underestimated and their absolute brightness is overestimated. The original description and name of the effect goes back to a publication by Thomas E. Lutz and Douglas H. Kelker in 1973.

The Lutz-Kelker bias arises from the fact that every parallax measurement is subject to an error and the space increases with the square of the distance. As a result, for any given parallax measurement, assuming a uniform distribution of the stars, more astronomical objects scatter from the outside in at this value than from the inside out. To correct the Lutz-Kelker error, the spatial distribution of the astronomical objects that are the target of the measurement must be known.

Individual evidence

  1. ^ Thomas E. Lutz, Douglas H. Kelker: On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory . In: Publications of the Astronomical Society of the Pacific . 85, 1973, p. 573. bibcode : 1973PASP ... 85..573L . doi : 10.1086 / 129506 .
  2. Rene D. Oudmaijer, Martin AT Groenewegen, Hans Schrijver: The Lutz-Kelker bias in trigonometric parallax . In: Astrophysics. Solar and Stellar Astrophysics . 1998, arxiv : astro-ph / 9801093v1 .
  3. JPW Verbiest, DR Lorimer, MA McLaughlin: Lutz-Kelker bias in pulsar parallax measurements . In: Astrophysics. Solar and Stellar Astrophysics . 2010, arxiv : 1002.1213v2 .
  4. AS Stepanishchev, VV Bobylev: Corrections for the Lutz-Kelker Bias for Galactic Masers . In: Astrophysics. Solar and Stellar Astrophysics . 2013, arxiv : 1302.1457v1 .