Investigation of the Orbital Period and Mass Relations for W UMa-type Contact Systems

Abstract

New relationships between the orbital period and some parameters of W Ursae Majoris (W UMa) type systems are presented in this study. To investigate the relationships, we calculated the absolute parameters of a sample of 118 systems. For this purpose, we used the parallax values obtained from the Gaia Early Data Release 3 (Gaia EDR3) star catalog for more precise calculations. The other required parameters, including the light curve solutions and the orbital period were derived from previous research. For some relationships, we added 86 systems from another study with an orbital period of less than 0.6 days to our sample, allowing us to increase the number of systems to 204. Therefore, the mass (M) values of each component along with all the other absolute parameters were recalculated for these contact systems. We used the Markov Chain Monte Carlo (MCMC) approach in order to gain the new orbital period-mass relations (P-M) per component, and added the temperature (T) to the process to acquire the new orbital period-temperature (P-T1) relation. We presented the orbital period behavior in terms of log(g) by new relations for each component. We have also obtained a model between the orbital period, the mass of the primary component and temperature (P-M1-T1) using the Artificial Neural Networks (ANN) method. Additionally, we present a model for the relationship between the orbital period and the mass ratio (P-q) by fitting a Multi-Layer Perceptron (MLP) regression model to a sample of the data collected from the literature.

arXiv commentAccepted by MNRAS Journal

References in corpus (42)

• Gaia Data Release 2. Summary of the contents and survey properties
• A 3D Dust Map Based on Gaia, Pan-STARRS 1 and 2MASS
• Mind your Ps and Qs: the Interrelation between Period (P) and Mass-ratio (Q) Distributions of Binary Stars
• Gaia Early Data Release 3: Parallax bias versus magnitude, colour, and position
• On the use of empirical bolometric corrections for stars
• Interrelated Main-Sequence Mass-Luminosity, Mass-Radius and Mass-Effective Temperature Relations
• A Trigonometric Parallax of Sgr B2
• The radius discrepancy in low mass stars: single vs. binaries
• Physical Properties and Catalogue of EW-type Eclipsing Binaries Observed by LAMOST
• Dynamical evolution of active detached binaries on log Jo - log M diagram and contact binary formation
• Statistics of 700 individually studied W UMa stars
• Kinematics of W UMa-type binaries and evidences on the two types of formation
• Angular momentum and mass evolution of contact binaries
• Empirical Bolometric Correction Coefficients for Nearby Main-Sequence Stars in Gaia Era
• Masses and angular momenta of contact binary stars
• Physical parameters and multiplicity of five southern close eclipsing binaries
• Gaia EDR3 Parallax Zero-point Offset based on W Ursae Majoris-type Eclipsing Binaries
• A Solar-type Stellar Companion to a Deep Contact Binary in a Quadruple System
• A Gaia early DR3 mock stellar catalog: Galactic prior and selection function
• The ASAS-SN Catalog of Variable Stars VII: Contact Binaries are Different Above and Below the Kraft Break
• Optical-Mid-Infrared Period-Luminosity Relations for W UMa-type Contact Binaries Based on Gaia DR 1: 8% Distance Accuracy
• Early-type Eclipsing Binaries with Intermediate Orbital Periods
• Physical Parameters of Some Close Binaries: ET Boo, V1123 Tau, V1191 Cyg, V1073 Cyg and V357 Peg
• Period changes and four-color light curves of the active overcontact binary v396 monocerotis
• Photometric analysis of overcontact binaries AK Her, HI Dra, V1128 Tau and V2612 Oph
• The Light and Period Variations of the Eclipsing Binary AA Ursae Majoris
• Mass-transfer properties of overcontact systems in the Kepler eclipsing binary catalog
• Physical parameter study of eight W Ursae Majoris-type contact binaries in NGC 188
• Photometric and Spectroscopic analysis of four contact binaries
• The first photometric analysis of the overcontact binary MQ UMa with an additional component
• First photometric study of ultrashort-period contact binary 1SWASP J140533.33+114639.1
• An optical and X-ray study of the contact binary, BH Cassiopeiae
• The First Light Curve Solutions and Period Study of BQ Ari
• Photometric investigation on the W-subtype contact binary V1197 Her
• BO Ari Light Curve Analysis using Ground-Based and TESS Data
• A Photometric Study of Four Recently Discovered Contact Binaries: 1SWASP J064501.21+342154.9, 1SWASP J155822.10-025604.8, 1SWASP J212808.86+151622.0 and UCAC4 436-062932
• Orbital solution and evolutionary state for the eclipsing binary 1SWASP J080150.03+471433.8
• Photometric investigation and orbital period analyses of the W UMa binaries FP Lyn, FV CVn and V354 UMa
• ASAS J174406+2446.8 is identified as a marginal-contact binary with a possible cool third body
• Long-term photometric study of a faint W UMa binary in the direction of M31
• The first photometric investigation of the contact binary OQ Cam
• The First Light Curve Solutions and Period Changes of EW Psc and HN Psc

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