Calculating asteroseismic diagrams for solar-like oscillations

Abstract

With the success of the Kepler and CoRoT missions, the number of stars with detected solar-like oscillations has increased by several orders of magnitude, for the first time we are able to perform large-scale ensemble asteroseismology of these stars. In preparation for this golden age of asteroseismology we have computed expected values of various asteroseismic observables from models of varying mass and metallicity. The relationships between these asteroseismic observables, such as the separations between mode frequencies, are able to significantly constrain estimates of the ages and masses of these stars. We investigate the scaling relation between the large frequency separation, Delta nu, and mean stellar density. Furthermore we present model evolutionary tracks for several asteroseismic diagrams. We have extended the so-called C-D diagram beyond the main sequence to the subgiants and the red-giant branch. We also consider another asteroseismic diagram, the epsilon diagram, which is more sensitive to variations in stellar properties at the subgiant stages and can aid in determining the correct mode identification. The recent discovery of gravity-mode period spacings in red giants forms the basis for a third asteroseismic diagram. We compare the evolutionary model tracks in these asteroseismic diagrams with results from pre-Kepler studies of solar-like oscillations, and early results from Kepler.

14 pages, 15 figures and 2 tables, accepted for publication in the Astrophysical Journal

References in corpus (16)

• Gravity modes as a way to distinguish between hydrogen- and helium-burning red giant stars
• ADIPLS -- the Aarhus adiabatic oscillation package
• Correcting stellar oscillation frequencies for near-surface effects
• Ensemble Asteroseismology of Solar-Type Stars with the NASA Kepler Mission
• ASTEC -- the Aarhus STellar Evolution Code
• Mixed modes in red-giant stars observed with CoRoT
• A precise asteroseismic age and radius for the evolved Sun-like star KIC 11026764
• An asteroseismic signature of helium ionization
• Accurate p-mode measurements of the G0V metal-rich CoRoT target HD 52265
• Solar-like oscillations in the G8 V star tau Ceti
• Asteroseismology from multi-month Kepler photometry: the evolved Sun-like stars KIC 10273246 and KIC 10920273
• Solar-like oscillations in KIC11395018 and KIC11234888 from 8 months of Kepler data
• The excitation of solar-like oscillations in a delta Scuti star by efficient envelope convection
• Solar-like oscillations and activity in Procyon: A comparison of the 2007 MOST and ground-based radial velocity campaigns
• Solar-like oscillations from the depths of the red-giant star KIC 4351319 observed with Kepler
• The Current Status of Asteroseismology

Cited by in corpus (197)

• The PLATO 2.0 Mission
• Asteroseismology of Solar-Type and Red-Giant Stars
• Ages and fundamental properties of Kepler exoplanet host stars from asteroseismology
• Asteroseismic fundamental properties of solar-type stars observed by the NASA Kepler Mission
• The Updated BaSTI Stellar Evolution Models and Isochrones: I. Solar Scaled Calculations
• The APOKASC Catalog: An Asteroseismic and Spectroscopic Joint Survey of Targets in the Kepler Fields
• Fundamental Properties of Kepler Planet-Candidate Host Stars using Asteroseismology
• Stellar Spin-Orbit Misalignment in a Multiplanet System
• Standing on the shoulders of Dwarfs: the Kepler asteroseismic LEGACY sample II - radii, masses, and ages
• The Second APOKASC Catalog: The Empirical Approach
• Asteroseismology and Gaia: Testing Scaling Relations Using 2200 Kepler Stars with TGAS Parallaxes
• Standing on the shoulders of Dwarfs: the $Kepler$ asteroseismic LEGACY sample I - oscillation mode parameters
• Red giant masses and ages derived from carbon and nitrogen abundances
• Age determination for 269 $Gaia$ DR2 Open Clusters
• Fundamental Properties of Stars using Asteroseismology from Kepler & CoRoT and Interferometry from the CHARA Array
• Probing the core structure and evolution of red giants using gravity-dominated mixed modes observed with Kepler
• Asteroseismic classification of stellar populations among 13000 red giants observed by Kepler
• Asteroseismology of 16000 Kepler Red Giants: Global Oscillation Parameters, Masses, and Radii
• Stellar population synthesis based modelling of the Milky Way using asteroseismology of 13000 Kepler red giants
• A uniform asteroseismic analysis of 22 solar-type stars observed by Kepler
• Testing the asteroseismic scaling relations for Red Giants with Eclipsing Binaries Observed by Kepler
• Age dissection of the Milky Way discs: red giants in the Kepler field
• Giant star seismology
• Asteroseismology of solar-type stars
• Confirmation of the $Gaia$ DR2 parallax zero-point offset using asteroseismology and spectroscopy in the $Kepler$ field
• Verifying asteroseismically determined parameters of Kepler stars using hipparcos parallaxes: self-consistent stellar properties and distances
• Oscillation mode frequencies of 61 main sequence and subgiant stars observed by Kepler
• Asteroseismology of the open clusters NGC 6791, NGC 6811, and NGC 6819 from nineteen months of Kepler photometry
• Asymptotic and measured large frequency separations
• Interferometric radii of bright Kepler stars with the CHARA Array: θ Cygni and 16 Cygni A and B
• Stellar ages and convective cores in field main-sequence stars: first asteroseismic application to two Kepler targets
• The First APOKASC Catalog of Kepler Dwarf and Subgiant Stars
• Kepler-91b: a planet at the end of its life. Planet and giant host star properties via light-curve variations
• Kepler-21b: A 1.6REarth Planet Transiting the Bright Oscillating F Subgiant Star HD 179070
• Evolutionary influences on the structure of red-giant acoustic oscillation spectra from 600d of Kepler observations
• Very regular high-frequency pulsation modes in young intermediate-mass stars
• NGC 6819: testing the asteroseismic mass scale, mass loss, and evidence for products of non-standard evolution
• Testing the Asteroseismic Mass Scale Using Metal-Poor Stars Characterized with APOGEE and Kepler
• Galactic Archaeology with asteroseismology and spectroscopy: Red giants observed by CoRoT and APOGEE
• Photometrically derived masses and radii of the planet and star in the TrES-2 system
• Establishing the accuracy of asteroseismic mass and radius estimates of giant stars. I. Three eclipsing systems at [Fe/H]~ -0.3 and the need for a large high-precision sample
• A Hot Saturn Orbiting An Oscillating Late Subgiant Discovered by TESS
• Non-radial oscillations in M-giant semi-regular variables: Stellar models and Kepler observations
• Significantly improving stellar mass and radius estimates: A new reference function for the Δν scaling relation
• Period-luminosity relations in evolved red giants explained by solar-like oscillations
• Atmospheric parameters of 82 red giants in the Kepler field
• Detection of solar-like oscillations in relics of the Milky Way: asteroseismology of K giants in M4 using data from the NASA K2 mission
• Changing the ${\nu }_{\max }$ Scaling Relation: The Need For a Mean Molecular Weight Term
• The K2 M67 Study: Revisiting old friends with K2 reveals oscillating red giants in the open cluster M67
• Deep Learning Classification in Asteroseismology
• Testing the radius scaling relation with $Gaia$ DR2 in the $Kepler$ field
• A large sample of calibration stars for Gaia: log g from Kepler and CoRoT
• Period spacings of $\gamma$ Doradus pulsators in the \textit{Kepler} field: Rossby and gravity modes in 82 stars
• K2-97b: A (Re-?)Inflated Planet Orbiting a Red Giant Star
• APOKASC-3: The Third Joint Spectroscopic and Asteroseismic catalog for Evolved Stars in the Kepler Fields
• A 20-Second Cadence View of Solar-Type Stars and Their Planets with TESS: Asteroseismology of Solar Analogs and a Re-characterization of pi Men c
• Oscillating red giants in eclipsing binary systems: empirical reference value for asteroseismic scaling relation
• Metallicity effect on stellar granulation detected from oscillating red giants in open clusters
• The BAyesian STellar Algorithm (BASTA): a fitting tool for stellar studies, asteroseismology, exoplanets, and Galactic archaeology
• Asteroseismic surface gravity for evolved stars
• New light on the Gaia DR2 parallax zero-point: influence of the asteroseismic approach, in and beyond the Kepler field
• Estimating stellar mean density through seismic inversions
• Testing asteroseismology with Gaia DR2: Hierarchical models of the Red Clump
• Properties of oscillation modes in subgiant stars observed by Kepler
• Mass and Age of Red Giant Branch Stars Observed with LAMOST and \emph{Kepler}
• Solving the mode identification problem in asteroseismology of F stars observed with Kepler
• Stellar ages, masses and radii from asteroseismic modeling are robust to systematic errors in spectroscopy
• Discovery of post-mass-transfer helium-burning red giants using asteroseismology
• KIC 9246715: The Double Red Giant Eclipsing Binary With Odd Oscillations
• The K2 Galactic Archaeology Program Data Release 3: Age-abundance patterns in C1-C8 and C10-C18
• The Age and Interior Rotation of Stars from Asteroseismology
• The Physical Parameters of the Retired A Star HD185351
• Properties of extrasolar planets and their host stars - a case study of HAT-P-7
• Asteroseismology of luminous red giants with Kepler I: Long Period Variables with radial and non-radial modes
• Atmospheric parameters and chemical properties of red giants in the CoRoT asteroseismology fields
• Asteroseismology of 36 \emph{Kepler} subgiants -- I. Oscillation frequencies, linewidths and amplitudes
• A Long-Period Totally Eclipsing Binary Star at the Turnoff of the Open Cluster NGC 6819 Discovered with Kepler
• PBjam: A Python package for automating asteroseismology of solar-like oscillators
• Asteroseismology of 3,642 Kepler Red Giants: Correcting the Scaling Relations based on Detailed Modeling
• Asteroseismology of red giants: from analysing light curves to estimating ages
• The Kepler-454 System: A Small, Not-rocky Inner Planet, a Jovian World, and a Distant Companion
• Differential population studies using asteroseismology: solar-like oscillating giants in CoRoT fields LRc01 and LRa01
• Nonlinear seismic scaling relations
• Spectroscopic and seismic analysis of red giants in eclipsing binaries discovered by Kepler
• A prescription for the asteroseismic surface correction
• On the asymptotic acoustic-mode phase in red-giant stars and its dependence on evolutionary state
• Integrated Mass Loss of Evolved Stars in M4 using Asteroseismology
• The K2 M67 Study: An Evolved Blue Straggler in M67 from K2 Mission Asteroseismology
• Fundamental properties of Kepler and CoRoT targets: III. Tuning scaling relations using the first adiabatic exponent
• Asteroseismology of red giants as a tool for studying stellar populations: first steps
• Detections of solar-like oscillations in dwarfs and subgiants with Kepler DR25 short-cadence data
• The Aarhus red giants challenge II. Stellar oscillations in the red giant branch phase
• A Catalogue of Solar-Like Oscillators Observed by TESS in 120-second and 20-second Cadence
• Stellar acoustic radii, mean densities and ages from seismic inversion techniques
• The Curious Case of KOI 4: Confirming Kepler's First Exoplanet
• A seismic scaling relation for stellar age
• Asteroseismic radii of dwarfs: New accuracy constraints from Gaia DR2 parallaxes
• Age-Dating Red Giant Stars Associated with Galactic Disk and Halo Substructures
• Beyond the Main Sequence: Testing the accuracy of stellar masses predicted by the PARSEC evolutionary tracks
• The Helium Abundance of NGC 6791 from Modeling of Stellar Oscillations
• Stellar oscillations. II The non-adiabatic case
• Testing stellar evolution models with the retired A star HD 185351
• Precise Modeling of the Exoplanet Host Star and CoRoT Main Target HD 52265
• Asteroseismic Study on Cluster Distance Moduli for RGB Stars in NGC 6791 and NGC 6819
• Stellar model fits and inversions
• Testing the intrinsic scatter of the asteroseismic scaling relations with Kepler red giants
• Mitigating the mass dependence in the $\Delta \nu$ scaling relation of red-giant stars
• Absolute Magnitudes of Seismic Red Clumps in the Kepler Field and SAGA: the age dependency of the distance scale
• Kepler-432 b: a massive warm Jupiter in a 52-day eccentric orbit transiting a giant star
• Magnetic and Rotational Evolution of $\rho$ CrB from Asteroseismology with TESS
• The subgiant HR 7322 as an asteroseismic benchmark star
• New asteroseismic scaling relations based on Hayashi track relation applied to red-giant branch stars in NGC 6791 and NGC 6819
• Determining the Best Method of Calculating the Large Frequency Separation For Stellar Models
• Hierarchically modelling Kepler dwarfs and subgiants to improve inference of stellar properties with asteroseismology
• Asteroseismic Inference of Subgiant Evolutionary Parameters with Deep Learning
• An Intermediate-age Alpha-rich Galactic Population in K2
• The APO-K2 Catalog. II. Accurate Stellar Ages for Red Giant Branch Stars across the Milky Way
• Detection of Solar-Like Oscillations, Observational Constraints, and Stellar Models for $\theta$ Cyg, the Brightest Star Observed by the {\it Kepler} Mission
• A hot Saturn on an eccentric orbit around the giant star EPIC228754001
• Evidence for spatially-correlated $Gaia$ parallax errors in the $Kepler$ field
• Asteroseismology and Spectropolarimetry of the Exoplanet Host Star $\lambda$ Serpentis
• Differential Modelling Systematics across the HR Diagram from Asteroseismic Surface Corrections
• Convective Excitation and Damping of Solar-like Oscillations
• Expanding the frontiers of cool-dwarf asteroseismology with ESPRESSO. Detection of solar-like oscillations in the K5 dwarf $\epsilon$ Indi
• Explaining Deviations from the Scaling Relationship of the Large Frequency Separation
• Measuring Model-independent Masses and Radii of Single-Lined Eclipsing Binaries: Analytic Precision Estimates
• Flicker as a tool for characterizing planets through Asterodensity Profiling
• Comparison of the Asteroseismic Mass Scale of Red Clump Giants with Photometric Mass Estimates
• Asteroseismology of Eclipsing Binary Stars in the Kepler Era
• An asteroseismic age estimate of the open cluster NGC 6866 using Kepler and Gaia
• Asteroseismology of $\delta$ Scuti stars: emulating model grids using a neural network
• Star Cluster Ages in the Gaia Era
• Red Horizontal Branch stars: an asteroseismic perspective
• Establishing the accuracy of asteroseismic mass and radius estimates of giant stars III. KIC4054905, an eclipsing binary with two 10 Gyr thick disk RGB stars
• Grid-based seismic modelling at high and low signal-to-noise ratios HD 181420 and HD 175272
• Asteroseismic masses of four evolved planet-hosting stars using SONG and TESS: resolving the retired A-star mass controversy
• Asteroseismology of Pulsating Stars
• A new C-D-like diagram for SPB stars: The variations of period spacing as a signature of evolutionary status
• Inference of stellar parameters from brightness variations
• Fundamental stellar parameters of benchmark stars from CHARA interferometry -- II. Dwarf stars
• Asteroseismic and orbital analysis of the triple star system HD 188753 observed by Kepler
• A Unified Exploration of the Chronology of the Galaxy
• Structural and Evolutionary Diagnostics from Asteroseismic Phase Functions
• On attempting to automate the identification of mixed dipole modes for subgiant stars
• Unveiling the Structure and Dynamics of Red Giants with Asteroseismology
• Fundamental properties of solar-like oscillating stars from frequencies of minimum $\Delta \nu$: I. Model computations for solar composition
• The effect of the adiabatic assumption on asteroseismic scaling relations for luminous red giants
• Infrared colours and inferred masses of metal-poor giant stars in the Kepler field
• Stellar masses from granulation and oscillations of 23 bright red giants observed by BRITE - Constellation
• Modeling Asteroseismic Yields for the Roman Galactic Bulge Time-Domain Survey
• Asteroseismic Study of Subgiants and Giants of the Open Cluster M67 using Kepler/K2: Expanded Sample and Precise Masses
• Exploiting the open clusters in the Kepler and CoRoT fields
• Analysis of the acoustic cut-off frequency and HIPs in six Kepler stars with stochastically excited pulsations
• Vetting Asteroseismic $\Delta \nu$ Measurements using Neural Networks
• Does the ${\nu }_{\max }$ scaling relation depend on metallicity? Insights from 3D convection simulations
• Fundamental stellar parameters of benchmark stars from CHARA interferometry -- III. Giant and subgiant stars
• A probabilistic method for detecting solar-like oscillations using meaningful prior information
• Benefits of multiple sites for asteroseismic detections
• Relevance of the small frequency separation for asteroseismic stellar age, mass, and radius. A statistical investigation for main-sequence low-mass stars
• Spectral characterization and differential rotation study of active CoRoT stars
• Two's a crowd? Characterising the effect of photometric contamination on the extraction of the global asteroseismic parameter ${\nu }_{\text{max}}$ in red-giant binaries
• Solar-like oscillating stars as standard clocks and rulers for Galactic studies
• Acoustic modes in M67 cluster stars trace deepening convective envelopes
• KIC 2568888: To be or not to be a binary
• Stellar population synthesis based modelling of the Milky Way using asteroseismology of dwarfs and subgiants from Kepler
• Sounding stellar cores with mixed modes
• Weighing stars from birth to death: mass determination methods across the HRD
• Detecting active latitudes of Sun-like stars using asteroseismic a-coefficients
• Asteroseismology of the G8 subgiant beta Aquilae with SONG-Tenerife, SONG-Australia and TESS
• Modelling $\delta$ Scuti pulsations: A new grid of p, g, and f modes across pre-main-sequence to post-main-sequence evolution
• The stellar activity-rotation-age relationship under the lens of asteroseismology
• Pushing the boundaries of asteroseismic individual frequency modelling: unveiling two evolved very-low metallicity red giants
• Coralie radial velocity search for companions around evolved stars (CASCADES) II. Seismic masses for three red giants orbited by long-period massive planets
• Uncertainties in asteroseismic grid-based estimates of the ages of halo stars
• Fundamental properties of stars from Kepler and Gaia data: parallax offset and revised scaling relations
• Asteroseismology of KIC 8263801:Is it a member of NGC 6866 and a red clump star?
• The evolutionary and asteroseismic imprints of mass accretion. The 10 M${}_{\odot }$ $\beta$ Cep case study
• Beyond MESA Defaults: The Impact of Structural Resolution Uncertainty in p-mode Asteroseismology
• A Theoretical Study of the Outer Layers of Eight Kepler F-stars: The Relevance of Ionization Processes
• The K2 Galactic Archaeology Program: Overview, target selection and survey properties
• Photometric stellar parameters for asteroseismology and Galactic studies
• Is there a unique asteroseismic interior model for the solar-like oscillating KIC 7747078?
• Realising efficient computation of individual frequencies for red-giant models
• Stellar oscillations - the adiabatic case
• Asteroseismic modelling of main-sequence solar-like stars and Kepler exoplanet host stars with the FICO procedure I. Catalogue of fundamental stellar properties
• Spectroscopic and asteroseismic analysis of the secondary clump red giant HD 226808
• Seismic indices -- a deep look inside evolved stars
• Towards Accurate Asteroseismic Masses for Luminous Giants
• Asteroseismology of red giants & galactic archaeology
• Seismic and spectroscopic analysis of 9 bright red giants observed by Kepler
• Early Results from APOKASC
• Hidden oscillations in plain sight: identification of seismically unresolved red-giant asteroseismic binary candidates
• Validation of the Gaia Early Data Release 3 parallax zero-point model with asteroseismology
• Advanced asteroseismic modelling: breaking the degeneracy between stellar mass and initial helium abundance
• New scaling relations from MESA models for mass and radius of subgiant stars: application to Kepler targets
• Physical interpretation of the oscillation spectrum on the RGB and AGB
• The SAPP pipeline for the determination of stellar abundances and atmospheric parameters of stars in the core program of the PLATO mission