Statistical parallaxes and the fundamental distance scale. I - Description and numerical tests of maximum likelihood technique. II - Application of the maximum likelihood technique to RR Lyrae and Cepheid variables

Astronomy and Astrophysics – Astronomy

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Distance, Maximum Likelihood Estimates, Parallax, Radial Velocity, Regression Analysis, Stellar Motions, Astrometry, Body Kinematics, Cepheid Variables, Ellipsoids, Group Velocity, Lyra Constellation, Magellanic Clouds, Stellar Evolution, Stellar Mass

Scientific paper

The paper deals with a maximum likelihood regression model for determining stellar distances, using proper motion and radial velocity data. It represents an improvement on techniques involving the derivation of secular and statistical parallaxes. A complete statement of the principles underlying this method of analysis is given, and a consistent calibration of the luminosities of galactic RR Lyrae and Cepheid variables is obtained by the use of fundamental kinematic and photometric data.

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