The systematic errors of the trigonometric parallaxes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Photometry, Error Analysis, Parallax, Stellar Luminosity, Trigonometry, Astrometry, Astronomical Catalogs, Calibrating, Early Stars, F Stars, Position Errors

Scientific paper

Systematic errors in trigonometric parallaxes are examined in order to determine whether small trigonometric parallaxes can be used for calibration purposes. Trigonometric parallaxes obtained at various observatories are compared with photometric parallaxes derived from Stromgren photometry and luminosities based on the Wilson-Bappu effect. It is shown that the corrections applied in the Jenkins (1952) catalog to individual observations from different observatories are significant, but that there seems to be either a zero-point error of +0.003 arcsec in the trigonometric parallaxes or an error in the zero point of photometric calibrations for B, 'Intermediate Group', A, and F stars of magnitude -0.2. A clear systematic behavior as a function of right ascension is found for the residuals between the photometric and trigonometric parallaxes of late-type stars, but not for early types. No lack of negative parallaxes is discovered, and the mean errors given in the Jenkins catalog are confirmed. It is concluded that small parallaxes can be employed to check photometric calibrations for early-type stars to an accuracy of about 0.2 magnitude.

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