Statistical Methods for Calibrating Trigonometric Parallaxes

Details Statistical Methods for Calibrating Trigonometric Parallaxes Statistical Methods for Calibrating Trigonometric Parallaxes

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005esasp.576..719t&link_type=abstract

"Proceedings of the Gaia Symposium "The Three-Dimensional Universe with Gaia" (ESA SP-576). Held at the Observatoire de Paris-Me

Astronomy and Astrophysics

Astronomy

Cepheids, Distance Scale, Stars Distances, Hipparcos, Jasmine

Scientific paper

We examined statistical methods for calibrating trigonometric parallaxes to retrieve the absolute magnitude of stars, using Monte Carlo simulations. Here we consider the case of the zero-point of the period-luminosity relation for Cepheid variables. The method originally proposed by Ratnatunga & Casertano was revisited by introducing the realistic density distribution of sample stars belonging to the catalogue through prior calculations of the photometric distance for each star. It is found that our method gives an unbiased estimate, regardless of any dispersions in their absolute magnitude. We further investigate the reliability of results that depends on an accuracy of parallax. Our finding is that the accuracy (˜1 mas) of Hipparcos parallaxes is not enough to obtain a reliable result due to a large variation among different ensembles of stars. More precise determination of parallaxes by an accuracy of 200 µas at least, which will be easily realized by the ongoing astrometric space satellites, will give a precise zero-point together with a dispersion in absolute magnitude.

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