Optical-Mid-Infrared Period-Luminosity Relations for W UMa-type Contact Binaries Based on Gaia DR 1: 8% Distance Accuracy
Xiaodian Chen (NAOC), Licai Deng (NAOC), Richard de Grijs (Department, of Physics, Astronomy, Macquarie University), Shu Wang (KIAA, Peking, University), and Yuting Feng (Peking University)

TL;DR
This study establishes precise period-luminosity relations for W UMa-type contact binaries across multiple wavelengths, enabling distance measurements with 8% accuracy and expanding the catalog of such systems within 3 kpc.
Contribution
The paper provides the first comprehensive multi-wavelength PLRs for W UMa-type CBs based on Gaia parallaxes, significantly improving distance accuracy and cataloging thousands of candidates.
Findings
PLRs have 0.16 mag scatter, enabling 7% distance precision.
The PLRs are consistent with open cluster distances within 1%.
The catalog includes over 55,000 CB candidates with 8% distance accuracy.
Abstract
W Ursa Majoris (W UMa)-type contact binary systems (CBs) are useful statistical distance indicators because of their large numbers. Here, we establish (orbital) period-luminosity relations (PLRs) in 12 optical-to-mid-infrared bands (GBV RIJHKsW1W2W3W4) based on 183 nearby W UMa-type CBs with accurate Tycho-Gaia parallaxes. The 1{\sigma} dispersion of the PLRs decreases from optical to near- and mid-infrared wavelengths. The minimum scatter, 0.16 mag, implies that W UMa-type CBs can be used to recover distances to 7% precision. Applying our newly determined PLRs to 19 open clusters containing W UMa-type CBs demonstrates that the PLR and open cluster CB distance scales are mutually consistent to within 1%. Adopting our PLRs as secondary distance indicators, we compiled a catalog of 55,603 CBs candidates, of which 80% have distance estimates based on a combination of optical, near-, and…
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