Statistics – Applications
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pasp..106..462r&link_type=abstract
Astronomical Society of the Pacific, Publications (ISSN 0004-6280), vol. 106, no. 699, p. 462-471
Statistics
Applications
61
Binary Stars, Calibrating, Star Clusters, Stellar Luminosity, Stellar Magnitude, Stellar Systems, Stellar Temperature, Astronomical Photometry, Color, Metallicity, Orbital Elements, Periodic Variations
Scientific paper
We use the basic expression for luminosities of contact systems, L varies as area x (Te)4, to derive calibrations of their absolute magnitudes Mv in terms of the orbital period and color indices B-V and V-Ic. These calibrations can serve as a consistency check on membership of W Ursae Majoris (W UMa) systems in stellar clusters and will permit the use of W UMa binaries as distance indicators for stellar systems consisting of solar-type stars. The calibrating sample at this time is based on three systems with trigonometric parallaxes, eleven systems in high galactic latitude open clusters, and three systems with main-sequence visual companions. The ranges in period and color are quite narrow and the results must be considered as preliminary, especially for the V-Ic calibration. One of the possible applications of the calibrations, as a sieve to remove the foreground interlopers, is illustrated. The result is that the cluster and field frequencies of optically detected W UMa systems seem to be equal at about 1 per about 280 surveyed stars (uncorrected for the inclination bias of about 2 times), which is about 3-4 times higher in the field than estimated before.
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