Mass-Ratio Distribution of Binaries From the LAMOST-MRS Survey

Abstract

Binary evolution leads to the formation of important objects crucial to the development of astrophysics, but the statistical properties of binary populations are still poorly understood. The LAMOST-MRS has provided a large sample of stars to study the properties of binary populations, especially for the mass ratio distributions and the binary fractions. We have devised a Peak Amplitude Ratio (PAR) approach to derive the mass ratio of a binary system based on results obtained from its spectrum. By computing a cross-correlation function (CCF), we established a relationship between the derived mass ratio and the PARs of the binary systems. By utilizing spectral observations obtained from LAMSOT DR6 & DR7, we applied the PAR approach to form distributions of the derived mass ratio of the binary systems to the spectral types. We selected the mass ratio within the range of $0.6-1.0$ for investigating the mass-ratio distribution. Through a power-law fitting, we obtained the power index $\gamma$ values of $-0.42\pm 0.27$, $0.03\pm 0.12$, and $2.12\pm 0.19$ for A-, F-, and G-type stars identified in the sample, respectively. The derived $\gamma$-values display an increasing trend toward lower primary star masses, and G-type binaries tend to be more in twins. The close binary fractions (for $P\lesssim 150\mathrm{d}$ and $q\gtrsim 0.6$) in our sample for A, F and G binaries are $7.6\pm 0.5\%$, $4.9\pm 0.2\%$ and $3.7\pm 0.1\%$, respectively. Note that the PAR approach can be applied to large spectroscopic surveys of stars.

arXiv comment18 pages, 12 figures, accepted for publication in The Astrophysical Journal

References in corpus (44)

• Gaia Data Release 2. Summary of the contents and survey properties
• The Gaia mission
• PARSEC: stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code
• Binary interaction dominates the evolution of massive stars
• A Survey of Stellar Families: Multiplicity of Solar-Type Stars
• The Apache Point Observatory Galactic Evolution Experiment (APOGEE)
• The Geneva-Copenhagen survey of the Solar neighbourhood: Ages, metallicities, and kinematic properties of 14,000 F and G dwarfs
• Stellar Multiplicity
• Mind your Ps and Qs: the Interrelation between Period (P) and Mass-ratio (Q) Distributions of Binary Stars
• The First Data Release (DR1) of the LAMOST general survey
• The Zwicky Transient Facility: Science Objectives
• The Origin of Subdwarf B Star (I): the Formation Channels
• SB9: The Ninth Catalogue of Spectroscopic Binary Orbits
• Gaia Data Release 2: Catalogue validation
• The Geneva-Copenhagen Survey of the Solar neighbourhood III. Improved distances, ages, and kinematics
• A database of high and medium-resolution stellar spectra
• ULySS: A Full Spectrum Fitting Package
• The Zwicky Transient Facility: Surveys and Scheduler
• Inverse Dynamical Population Synthesis and Star Formation
• On the diversity and statistical properties of protostellar discs
• The Dynamical Properties of Stellar Systems in the Galactic Disc
• Collapse of a Molecular Cloud Core to Stellar Densities: The First Three-Dimensional Calculations
• Automatic Determination of Stellar Atmospheric Parameters and Construction of Stellar Spectral Templates of the Guoshoujing Telescope (LAMOST)
• Binary stars as the key to understanding planetary nebulae
• Formation of close binaries by disc fragmentation and migration, and its statistical modeling
• Adiabatic Mass Loss in Binary Stars - I. Computational Method
• The mass ratio distribution of B-type visual binaries in the Sco OB2 association
• Adiabatic Mass Loss in Binary Stars. II. From Zero-Age Main Sequence to the Base of the Giant Branch
• Discovery and Characterization of 3000+ Main-Sequence Binaries from APOGEE Spectra
• Deriving the stellar labels of LAMOST spectra with Stellar LAbel Machine (SLAM)
• Binary Population Synthesis
• The Turbulent Origin of Outflow and Spin Misalignment in Multiple Star Systems
• Self-consistent Stellar Radial Velocities from LAMOST Medium-Resolution Survey (MRS) DR7
• Exploring the consequences of pairing algorithms for binary stars
• Adiabatic mass loss in binary stars. III. From the base of the red giant branch to the tip of asymptotic giant branch
• The Gaia-ESO Survey: double, triple and quadruple-line spectroscopic binary candidates
• SPCANet: Stellar Parameters and Chemical Abundances Network for LAMOST-II Medium Resolution Survey
• Double-lined Spectroscopic Binary Stars in the Radial Velocity Experiment Survey
• A Catalogue of Potential Post Common Envelope Binaries
• Double-, triple-line spectroscopic candidates in the LAMOST Medium-Resolution Spectroscopic Survey
• The thermal equilibrium mass loss model and its applications in binary evolution
• Twins Among the Low Mass Spectroscopic Binaries
• Smoking Gun of the Dynamical Processing of the Solar-type Field Binary Stars
• The GALAH survey: Multiple stars and our Galaxy. I. A comprehensive method for deriving properties of FGK binary stars

Cited by in corpus (9)

• Binary Stars in the New Millennium
• RR Lyrae From Binary Evolution: Abundant, Young and Metal-Rich
• Criteria for Dynamical Timescale Mass Transfer of Metal-poor Intermediate-mass Stars
• LAMOST medium-resolution spectroscopic survey of binarity and exotic star (LAMOST-MRS-B): Observation strategy and target selection
• Stellar masses and mass ratios for Gaia open cluster members
• Observing Double White Dwarfs with the Lunar GW Antenna
• Mass Ratio Distribution of Hierarchical Triple Systems from the LAMOST-MRS Survey
• Identifying Hierarchically Triple Star Systems with Gaia DR3 and LAMOST
• Double Trouble: How Unresolved Spectroscopic Binary Stars Skew GALAH DR4 Stellar Parameters