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ON THE USE OF TRIGONOMETRIC PARALLAXES FOR THE CALIBRATION OF LUMINOSITY SYSTEMS : THEORY
THOMAS E. LUTZ and DOUGLAS H. KELKER
Publications of the Astronomical Society of the Pacific
Vol. 85, No. 507 (October 1973), pp. 573-578
Published by: Astronomical Society of the Pacific
Stable URL: http://www.jstor.org/stable/40675439
Page Count: 6
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Trumpler and Weaver (1953) discuss a systematic error which they attribute to the process of selecting stars by a lower limit in parallax values. The systematic error is introduced because, on the average, the observed parallaxes are larger than the true parallaxes. We demonstrate that the same type of systematic effect exists for all stars with observed t rigonometric parallaxes. The problem is treated analytically and can be put in a dimensionless form. The size of the systematic error depends only upon the ratio o/̌ where ó is the standard deviation of ̌0, the observed parallax. Corrections are obtained which are to be applied to absolute magnitudes derived from trigonometric parallaxes. The corrected absolute magnitudes are the proper values to use in luminosity calibrations.
Publications of the Astronomical Society of the Pacific © 1973 The University of Chicago Press