A method for statistical research on binary stars using radial velocities

Abstract

Binary stars are fundamental to astrophysics, providing critical insights into stellar evolution, galactic dynamics, and fundamental physics. However, the high dimensionality of orbital parameters and observational constraints present significant challenges in statistically characterizing their properties. In this study, we propose and implement a novel algorithm, the Differential Velocity Cumulative Distribution (DVCD), to analyze binary star systems using radial velocity data. The DVCD method demonstrates superior accuracy and computational efficiency compared to existing approaches, reducing computation time by factors of $10^{-4}$ to $10^{-5}$ under comparable conditions. We applied the DVCD algorithm to red giant samples from APOGEE DR16, dividing the dataset into 16 subsets based on $\log g$ and M/H. Our findings reveal that the binary fraction decreases with decreasing surface gravity and increasing metallicity, offering valuable constraints on the evolutionary processes of binary stars. This study underscores the potential of the DVCD method for large-scale statistical analyzes of binary systems.

29pages, 21 figures

References in corpus (45)

• Binary companions of evolved stars in APOGEE DR14: Search method and catalog of ~5,000 companions
• 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 VLT-FLAMES Tarantula Survey VIII. Multiplicity properties of the O-type star population
• The Galactic O-Star Spectroscopic Survey (GOSSS). II. Bright Southern Stars
• A spectroscopic survey on the multiplicity of high-mass stars
• Toward Complete Statistics of Massive Binary Stars: Penultimate Results from the Cygnus OB2 Radial Velocity Survey
• Spectroscopic determination of masses (and implied ages) for red giants
• The VLT-FLAMES Tarantula Survey XXII. Multiplicity properties of the B-type stars
• Stellar Multiplicity Meets Stellar Evolution And Metallicity: The APOGEE View
• Testing the black-hole area law with GW150914
• Adiabatic Mass Loss in Binary Stars. II. From Zero-Age Main Sequence to the Base of the Giant Branch
• Close Binary Companions to APOGEE DR16 Stars: 20,000 Binary-star Systems Across the Color-Magnitude Diagram
• orvara: An Efficient Code to Fit Orbits using Radial Velocity, Absolute, and/or Relative Astrometry
• Classification and Ranking of Fermi LAT Gamma-ray Sources from the 3FGL Catalog using Machine Learning Techniques
• The K giant stars from the LAMOST survey data I: identification, metallicity, and distance
• The Multiplicity of Massive Stars: A High Angular Resolution Survey with the HST Fine Guidance Sensor
• The binarity of Milky Way F,G,K stars as a function of effective temperature and metallicity
• The fraction of type Ia supernovae exploding inside planetary nebulae (SNIPs)
• Companions to APOGEE Stars I: A Milky Way-Spanning Catalog of Stellar and Substellar Companion Candidates and their Diverse Hosts
• Common-Envelope Episodes that lead to Double Neutron Star formation
• Spin alignment and differential accretion in merging black hole binaries
• The Close Binary Fraction as a Function of Stellar Parameters in APOGEE: A Strong Anti-Correlation With $\alpha$ Abundances
• The evolving properties of the corona of GRS 1915+105: A spectral-timing perspective through variable-Comptonisation modelling
• Aluminium-26 from massive binary stars I: non-rotating models
• The binarity of Galactic dwarf stars along with effective temperature and metallicity
• Stable nickel production in Type Ia supernovae: A smoking gun for the progenitor mass?
• Novel Model of an Ultra-stripped Supernova Progenitor of a Double Neutron Star
• On the role of supernova kicks in the formation of Galactic double neutron star systems
• SNAPSHOT: Connections between Internal and Surface Properties of Massive Stars
• Core-collapse supernova progenitor constraints using the spatial distributions of massive stars in local galaxies
• Simulating highly-eccentric common envelope jets supernova (CEJSN) impostors
• The Binarity of Early-type Stars from LAMOST Medium-resolution Spectroscopic Survey
• Binary Star Fractions from the LAMOST DR4
• Spectroscopic twin to the hypervelocity sdO star US 708 and three fast sdB stars from the Hyper-MUCHFUSS project
• The Orbit of the Close Companion of Polaris: Hubble Space Telescope Imaging 2007 to 2014
• Spectroscopic Detection of the Pre-White Dwarf Companion of Regulus
• Pulsation-driven mass loss from massive stars behind stellar mergers in metal-poor dense clusters
• Massive Star Mergers: Induced Mixing and Nucleosynthesis
• Revisiting the complex kinematics of ionized gas at the central region of NGC 1068: evidence of an additional active galactic nucleus?
• Spectral Signatures of Population III and Envelope-stripped Stars in Galaxies at the Epoch of Reionization
• The Complex Circumstellar and Circumbinary Environment of V356 Sgr
• Characteristics and evolution of Be-type high mass X-ray binaries as potential Ultraluminous X-ray Sources
• gaspery: Optimized Scheduling of Radial Velocity Follow-Up Observations for Active Host Stars