Ages for illustrative field stars using gyrochronology: viability, limitations and errors
arXiv:0704.3068 · doi:10.1086/519295
Abstract
We here develop an improved way of using a rotating star as a clock, set it using the Sun, and demonstrate that it keeps time well. This technique, called gyrochronology, permits the derivation of ages for solar- and late-type main sequence stars using only their rotation periods and colors. The technique is clarified and developed here, and used to derive ages for illustrative groups of nearby, late-type field stars with measured rotation periods. We first demonstrate the reality of the interface sequence, the unifying feature of the rotational observations of cluster and field stars that makes the technique possible, and extends it beyond the proposal of Skumanich by specifying the mass dependence of rotation for these stars. We delineate which stars it cannot currently be used on. We then calibrate the age dependence using the Sun. The errors are propagated to understand their dependence on color and period. Representative age errors associated with the technique are estimated at ~15% (plus possible systematic errors) for late-F, G, K, & early-M stars. Ages derived via gyrochronology for the Mt. Wilson stars are shown to be in good agreement with chromospheric ages for all but the bluest stars, and probably superior. Gyro ages are then calculated for each of the active main sequence field stars studied by Strassmeier and collaborators where other ages are not available. These are shown to be mostly younger than 1Gyr, with a median age of 365Myr. The sample of single, late-type main sequence field stars assembled by Pizzolato and collaborators is then assessed, and shown to have gyro ages ranging from under 100Myr to several Gyr, and a median age of 1.2Gyr. Finally, we demonstrate that the individual components of the three wide binaries XiBooAB, 61CygAB, & AlphaCenAB yield substantially the same gyro ages.
58 pages, 18 color figures, accepted for publication in The Astrophysical Journal; Age uncertainties slightly modified upon correcting an algebraic error in Section 4
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- WASP-92b, WASP-93b and WASP-118b: Three new transiting close-in giant planets
- Qatar Exoplanet Survey : Qatar-3b, Qatar-4b and Qatar-5b
- A 12-Year Activity Cycle for HD 219134
- Characterizing two solar-type Kepler subgiants with asteroseismology: KIC10920273 and KIC11395018
- WASP-71b: a bloated hot Jupiter in a 2.9-day, prograde orbit around an evolved F8 star
- Optimizing exoplanet transit searches around low-mass stars with inclination constraints
- NGTS-2b: An inflated hot-Jupiter transiting a bright F-dwarf
- Stellar Rotation and Structure of the Persei Complex: When Does Gyrochronology Start to Work?
- M-Dwarf Fast Rotators and the Detection of Relatively Young Multiple M-Star Systems
- Asteroseismology of the young open cluster NGC 2516 I: Photometric and spectroscopic observations
- New rotation period measurements of 67,163 Kepler stars
- Employing a New BVIc Photometric Survey of IC 4665 to Investigate the Age of this Young Open Cluster
- WASP-54b, WASP-56b and WASP-57b: Three new sub-Jupiter mass planets from SuperWASP
- Systematics-insensitive periodic signal search with K2
- Signature of Planetary Mergers on Stellar Spins
- Spectroscopic membership for the populous 300 Myr-old open cluster NGC 3532
- High-Contrast 3.8 Micron Imaging Of The Brown Dwarf/Planet-Mass Companion to GJ 758
- An increased rate of large flares at intermediate rotation periods for mid-to-late M dwarfs
- Rotation, magnetism, and metallicity of M dwarf systems
- A TESS Dress Rehearsal: Planetary Candidates and Variables from K2 Campaign 17
- Three small planets transiting the bright young field star K2-233
- The crucial role of surface magnetic fields for stellar dynamos: Epsilon Eridani, 61 Cygni A, and the Sun
- Magnetic activity evolution of solar-like stars: I. S_ph-Age relation derived from Kepler observations
- The Random Transiter -- EPIC 249706694/HD 139139
- Magnetic and Rotational Evolution of CrB from Asteroseismology with TESS
- WASP-26b: A 1-Jupiter-mass planet around an early-G-type star
- The Sun and stars as the primary energy input in planetary atmospheres
- A search for radius inflation among active M-dwarfs in Praesepe
- WASP-40b: independent discovery of the 0.6-Mjup transiting exoplanet HAT-P-27b
- Recurring sets of recurring starspot occultations on exoplanet-host Qatar-2
- Far-UV spectroscopy of the planet-hosting star WASP-13: high-energy irradiance, distance, age, planetary mass-loss rate, and circumstellar environment
- Two Hot Jupiters from K2 Campaign 4
- Discovery of WASP-65b and WASP-75b: Two Hot Jupiters Without Highly Inflated Radii
- The GALAH Survey: Temporal Chemical Enrichment of the Galactic Disk
- Rotation periods for cool stars in the open cluster Ruprecht 147 (NGC 6774): Implications for gyrochronology
- The Solar Wind Environment in Time
- The chemical composition of Cen AB revisited
- On the Identification of Wide Binaries in the Kepler Field
- Project Hephaistos - II. Dyson sphere candidates from Gaia DR3, 2MASS, and WISE
- LBT/PEPSI Spectropolarimetry of a Magnetic Morphology Shift in Old Solar-type Stars
- Constraints on Magnetic Braking from the G8 Dwarf Stars 61 UMa and Cet
- Imaging search for the unseen companion to Eps Ind A -- Improving the detection limits with 4 micron observations
- Rotation Periods of Wide Binaries in the Kepler Field
- Asteroseismology of the Hyades with K2: first detection of main-sequence solar-like oscillations in an open cluster
- WIYN Open Cluster Study 89. M48 (NGC 2548) 2: Lithium Abundances in the 420 Myr Open Cluster M48 From Giants Through K Dwarfs
- The Young Planet DS Tuc Ab has a Low Obliquity
- The CARMENES search for exoplanets around M dwarfs - The enigmatic planetary system GJ 4276: One eccentric planet or two planets in a 2:1 resonance?
- Theory of differential rotation and meridional circulation
- Ultraviolet Spectroscopy of Rapidly-Rotating Solar-Mass Stars: Emission Line Redshifts as a Test of the Solar-Stellar Connection
- A New Approach to Convective Core Overshooting: Probabilistic Constraints from Color-Magnitude Diagrams of LMC Clusters
- Astraea: Predicting Long Rotation Periods with 27-Day Light Curves
- Extending the FIP bias sample to magnetically active stars. Challenging the FIP bias paradigm?
- Long-term monitoring in IC4665: Fast rotation and weak variability in very low mass objects
- Stellar Aspects of Habitability: Characterizing Target Stars for Terrestrial Planet Search Missions
- RACE-OC Project: Rotation and variability in the open cluster M11 (NGC6705)
- Detection of l=4 and l=5 modes in 12 years of solar VIRGO-SPM data --- Tests on Kepler observations of 16 Cyg A and B
- Revisiting WASP-47 with ESPRESSO and TESS
- Using the Gaia excess uncertainty as a proxy for stellar variability and age
- HD-TESS: An Asteroseismic Catalog of Bright Red Giants within TESS Continuous Viewing Zones
- Evidence for Primordial Alignment: Insights from Stellar Obliquity Measurements for Compact Sub-Saturn Systems
- TOI-1416: A system with a super-Earth planet with a 1.07d period
- WASP-147b, 160Bb, 164b and 165b: two hot Saturns and two Jupiters, including two planets with metal-rich hosts
- Weakened Magnetic Braking in the Exoplanet Host Star 51 Peg
- Temporal variation of the photometric magnetic activity for the Sun and Kepler solar-like stars
- Stellar activity and rotation of the planet host Kepler-17 from long-term space-borne photometry
- New binaries from the SHINE survey
- Rotational and Radial Velocities of 1.3-2.2 M_Sun Red Giants in Open Clusters
- Coronal mass ejections and type II radio emission variability during a magnetic cycle on the solar-type star Eridani
- The Prototypical Young L/T-Transition Dwarf HD 203030B Likely Has Planetary Mass
- The ancient main-sequence solar proxy HIP 102152 unveils the activity and rotational fate of our Sun
- Core-envelope decoupling drives radial shear dynamos in cool stars
- A Young, Low-Density Stellar Stream in the Milky Way Disk: Theia 456
- Far beyond the Sun: I. The beating magnetic heart in Horologium
- MADYS: the Manifold Age Determination for Young Stars
- Faculae cancel out on the surfaces of active Suns
- Resonant and Ultra-short-period Planet Systems are at Opposite Ends of the Exoplanet Age Distribution
- Extreme Variability of the V488 Persei Debris Disk
- Testing connections between exo-atmospheres and their host stars. GEMINI-N/GMOS ground-based transmission spectrum of Qatar-1b
- RACE-OC Project: Rotation and variability in the open cluster NGC2099 (M37)
- Fundamental properties of Kepler and CoRoT targets -- IV. Masses and radii from frequencies of minimum and their implications
- Signatures of magnetic activity: On the relation between stellar properties and p-mode frequency variations
- Lithium and Beryllium in NGC 752 -- An Open Cluster Twice the Age of the Hyades
- The Effect of Magnetic Variability on Stellar Angular Momentum Loss II: The Sun, 61 Cygni A, Eridani, Bootis A and Bootis A
- Transiting exoplanets from the CoRoT space mission XXVII. CoRoT-28b, a planet orbiting an evolved star, and CoRoT-29b, a planet showing an asymmetric transit
- Flicker as a tool for characterizing planets through Asterodensity Profiling
- The Sun as a fundamental calibrator of stellar evolution
- The Sun in Time: Age, Rotation, and Magnetic Activity of the Sun and Solar-type Stars and Effects on Hosted Planets
- The influence of planetary engulfment on stellar rotation in metal-poor main-sequence stars
- The CARMENES search for exoplanets around M dwarfs Detection of a mini-Neptune around LSPM J2116+0234 and refinement of orbital parameters of a super-Earth around GJ 686 (BD+18 3421)
- Debris discs around nearby Solar analogues
- A massive hot Jupiter orbiting a metal-rich early-M star discovered in the TESS full frame images
- On the radial velocity detection of additional planets in transiting, slowly rotating M-dwarf systems: the case of GJ 1132
- Rotation at the Fully Convective Boundary: Insights from Wide WD + MS Binary Systems
- On the Rotation of the Solar Chromosphere
- TOI-1801 b: A temperate mini-Neptune around a young M0.5 dwarf
- TOI-4562 b: A highly eccentric temperate Jupiter analog orbiting a young field star
- An Age Constraint for the Very Low-Mass Stellar/Brown Dwarf Binary 2MASS J03202839-0446358AB
- Rotation period distribution of CoRoT and Kepler Sun-like stars
- Statistical Fitting of Evolution Models to Rotation Rates of Sun-Like Stars
- Precise Ages of Field Stars From White Dwarf Companions in Gaia DR2
- Ultracool Dwarfs Observed with the Spitzer Infrared Spectrograph. I. An Accurate Look at the L-to-T Transition at 300 Myr from Optical through Mid-infrared Spectrophotometry
- Star-planet tidal interaction and the limits of gyrochronology
- The K2 M67 Study: Establishing the Limits of Stellar Rotation Period Measurements in M67 with K2 Campaign 5 Data
- Atmospheric mass loss of extrasolar planets orbiting magnetically active host stars
- Photometric rotation periods for 107 M dwarfs from the APACHE survey
- Rotation of Kepler field dwarfs and sub giants: Spectroscopic from APOGEE
- Cool White Dwarfs Found in the UKIRT Infrared Deep Sky Survey
- On the origin of the dichotomy of stellar activity cycles
- Kepler main-sequence solar-like stars: surface rotation and magnetic-activity evolution
- A dense mini-Neptune orbiting the bright young star HD 18599
- A multi-planetary system orbiting the early-M dwarf TOI-1238
- Project 1640 Observations of Brown Dwarf GJ 758 B: Near-Infrared Spectrum and Atmospheric Modeling
- Multi-campaign Asteroseismic Analysis of eight Solar-like pulsating stars observed by the K2 mission
- Long rotation period main-sequence stars from Kepler SAP light curves
- Ages of 70 dwarfs of three populations in the solar neighborhood: considering O and C abundances in stellar models
- Is [Y/Mg] a Reliable Age Diagnostic for FGK Stars?
- Photospheric activity, rotation and magnetic interaction in LHS 6343 A
- On the characterization of GJ 504: a magnetically active planet-host star observed by the Transiting Exoplanet Survey Satellite (TESS)
- Are the gyro-ages of field stars underestimated?
- Impact of anti-solar differential rotation in mean-field solar-type dynamos -- Exploring possible magnetic cycles in slowly rotating stars
- TESS and CHEOPS Discover Two Warm Sub-Neptunes Transiting the Bright K-dwarf HD 15906
- Constraints on the nearby exoplanet Ind Ab from deep near/mid-infrared imaging limits
- Wide binaries demonstrate the consistency of rotational evolution between open cluster and field stars
- Understanding the Planetary Formation and Evolution in Star Clusters(UPiC)-I: Evidence of Hot Giant Exoplanets Formation Timescales
- Stellar winds as a mechanism to tilt the spin axes of Sun-like stars
- Periodic stellar variability from almost a million NGTS light curves
- The influence of metallicity on a combined stellar and disk evolution
- Transition of latitudinal differential rotation as a possible cause of weakened magnetic braking of solar-type stars
- Estimating the ages of open star clusters from properties of their extended tidal tails
- The Interferometric Binary Epsilon Cancri in Praesepe: Precise Masses and Age
- An empirical isochrone archive for nearby open clusters
- Stellar rotation, binarity, and lithium in the open cluster IC4756
- Far beyond the Sun: II. Probing the stellar magnetism of the young Sun ι Horologii from the photosphere to its corona
- Spectroscopic orbits of nearby solar-type dwarfs. II
- Searching for new young stars in the northern hemisphere: The Pisces Moving Group
- Revisiting the HD 21749 Planetary System with Stellar Activity Modeling
- The breakdown of current gyrochronology as evidenced by old coeval stars
- Looking For Timing Variations in the Transits of 16 Exoplanets
- The GAPS programme at TNG XXXIV. Activity-rotation, flux-flux relationships, and active region evolution through stellar age
- The Origin of Enhanced Activity in the Suns of M67
- A comprehensive photometric and kinematical characteristic of the newly discovered QCs clusters with Gaia EDR3
- A study of Pulsation & Rotation in a sample of A-K type stars in the Kepler field
- TOI-712: a system of adolescent mini-Neptunes extending to the habitable zone
- The Dependence of Stellar Activity Cycles on Effective Temperature
- A Search for Exoplanets in Open Clusters and Young Associations based on TESS Objects of Interest
- Fine Structure of the Age-Chromospheric Activity Relation in Solar-Type Stars: II. H Line
- Signature of spin-down stalling in stellar magnetic activity. The case of the open cluster NGC 6811
- Accounting for Differential Rotation in Calculations of the Sun's Angular Momentum-loss Rate
- Estimating the Convective Turnover Time
- A GALAH View of the Chemical Homogeneity and Ages of Stellar Strings Identified in Gaia
- Investigating three Sirius-like systems with SPHERE
- A Catalog of Periodic Variables in Open Clusters M35 and NGC 2158
- Characterization of Exoplanet-Host Stars
- TATOO: a tidal-chronology standalone tool to estimate the age of massive close-in planetary systems
- On the nature of rotation in the Praesepe cluster
- HD 183579b: A Warm Sub-Neptune Transiting a Solar Twin Detected by TESS
- The partial ionisation zone of heavy elements in F-stars: a study on how it correlates with rotation
- Clusters: age scales for stellar physics
- Magnetic activity of the solar-like star HD 140538
- The Impact of Tidal Migration of Hot Jupiters on the Rotation of Sun-like Main-sequence Stars
- Weakened Magnetic Braking Signals the Collapse of the Global Stellar Dynamo
- A Homogeneous Catalog of Oscillating Solar-Type Stars Observed by the Kepler Mission and a New Amplitude Scaling Relation Including Chromospheric Activity
- X-ray variability of cool stars: Magnetic activity and accretion
- Estimating the age-metallicity distribution of a stellar sample from the probability distributions of the individual stars
- Young and eccentric: the quadruple system HD 86588
- A multi-wavelength view of the multiple activity cycles of ~Eridani
- What governs the spin distribution of very young < 1 Myr low mass stars
- A Monte Carlo Method for Evaluating Empirical Gyrochronology Models and its Application to Wide Binary Benchmarks
- The Aligned Orbit of a Hot Jupiter around the M Dwarf TOI-4201
- The impact of unresolved magnetic spots on high precision radial velocity measurements
- A Low-mass, Pre-main-sequence Eclipsing Binary in the 40 Myr Columba Association -- Fundamental Stellar Parameters and Modeling the Effect of Star Spots
- Spectral characterization and differential rotation study of active CoRoT stars
- HATS-15 b and HATS-16 b: Two massive planets transiting old G dwarf stars
- New stellar age estimates using SPInS based on Gaia DR3 photometry and LAMOST DR8 abundances
- The Young Solar Analogs Project: I. Spectroscopic and Photometric Methods and Multi-year Timescale Spectroscopic Results
- Is planetary inward migration responsible for GJ 504's fast rotation and bright X-ray luminosity? New constraints from eROSITA
- NIRPS detection of delayed atmospheric escape from the warm and misaligned Saturn-mass exoplanet WASP-69b
- The age of the Galaxy's thick disk
- Stellar age dependence of the nonextensive magnetic braking index: a test for the open cluster Per
- A Digital Low Dispersion Spectral Library Covering the 3500-7500AA Region Using the SAAO Radcliffe 1.9m Telescope's Cassegrain Spectrograph
- Planet-star interactions with precise transit timing. IV. Probing the regime of dynamical tides for GK host stars
- NGTS-21b: An Inflated Super-Jupiter Orbiting a Metal-poor K dwarf
- Coronal Temperature as an Age Indicator
- Ages for exoplanet host stars
- TOI-858 B b: A hot Jupiter on a polar orbit in a loose binary
- The Rotation Period Distribution in the Young Open Cluster NGC 6709
- The Hot-Neptune Initiative (HONEI) I. Two hot sub-Neptunes on a close-in, eccentric orbit (TOI-5800 b) and a farther-out, circular orbit (TOI-5817 b)
- Flaring Activities of Fast Rotating Stars have Solar-like Latitudinal Distribution
- ChronoFlow: A Data-Driven Model for Gyrochronology
- High Spatial Resolution Thermal-Infrared Spectroscopy with ALES: Resolved Spectra of the Benchmark Brown Dwarf Binary HD 130948BC
- Four ages of rotating stars in the rotation--activity relationship and gyrochronology
- Correlating Intrinsic Stellar Parameters with Mg II Self-Reversal Depths
- The stellar activity-rotation-age relationship under the lens of asteroseismology
- Evolved Eclipsing Binaries and the Age of the Open Cluster NGC 752
- Unravelling the Period Gap using LAMOST Chromospheric Activity Indices
- The Direct Mid-Infrared Detectability of Habitable-zone Exoplanets Around Nearby Stars
- SEEDS direct imaging of the RV-detected companion to V450 Andromedae, and characterization of the system
- Is the Pictoris member GJ3039AB a physical binary? What the rotation periods tell us
- Stellar rotation effects in polarimetric microlensing
- Gl 725A b: a potential super-Earth detected with SOPHIE and SPIRou in an M dwarf binary system at 3.5 pc
- Evolution of Long Term Variability in Solar Analogs
- Reticuli binary system: A puzzling chromospheric activity pattern
- GTC/CanariCam deep mid-infrared imaging survey of northern stars within 5 pc
- Rotationally Driven Ultraviolet Emission of Red Giant Stars II. Metallicity, Activity, Binarity and Sub-subgiants
- The principal astrophysical parameters of the open clusters Gulliver 18 and Gulliver 58 determined using Gaia EDR3 data
- Distinct Rotational Evolution of Giant Planets and Brown Dwarf Companions
- Periodicity in some light curves of the solar analogue V352 CMa
- TOI-3288 b and TOI-4666 b: two gas giants transiting low-mass stars characterised by NIRPS
- zoomies: A tool to infer stellar age from vertical action in Gaia data
- The post-disk (or primordial) spin distribution of M dwarf stars
- Investigating stellar variability in the open cluster region NGC 381
- How accurately can we age-date solar-type dwarfs using activity/rotation diagnostics?
- A Theoretical Study of the Outer Layers of Eight Kepler F-stars: The Relevance of Ionization Processes
- Chromospheric Activity in 55 Cancri: II. Theoretical Wave Studies versus Observations
- Fundamental stellar parameters for selected T-Tauri stars in the Chamaeleon and Rho Ophiuchus star-forming regions
- Lost Sisters Found: TESS and Gaia Reveal a Dissolving Pleiades Complex
- The 3D Galactocentric velocities of Kepler stars: marginalizing over missing RVs
- A sub-Neptune transiting the young field star HD 18599 at 40 pc
- Precise Masses and Orbits for Nine Radial Velocity Exoplanets
- Characterizing Exoplanets for Assessing Their Potential Habitability
- Exploring the robustness of Keplerian signals to the removal of active and telluric features
- Quantifying chemical and kinematical properties of Galactic disks
- On the lithium abundance of the visual binary components Boo A (G8V) and Boo B (K5V)
- iota Horologii is unlikely to be an evaporated Hyades star
- Light Curve Modulation of Low Mass Stars in K2. I. Identification of 508 Fast Rotators in the Solar Neighborhood
- A search for stellar siblings of the ~ 200 Myr TOI-251b planetary system
- Flare stars in nearby Galactic open clusters based on {\it TESS} data
- Chronos --- Taking the pulse of our Galactic neighbourhood (ESA Voyage 2050 White Paper)
- Stellar Ages from Stellar Rotation
- Nearly 30,000 late-type main-sequence stars with stellar age from LAMOST DR5
- Orbital characterization of GJ1108A system, and comparison of dynamical mass with model-derived mass for resolved binaries
- Discovery of a transiting hot water-world candidate orbiting Ross 176 with TESS and CARMENES
- Continuous Habitable Zones: Using Bayesian Methods to Prioritize Characterization of Potentially Habitable Worlds
- Surface activity of a Rossby sequence of cool Hyades stars
- PSF-based Analysis for Detecting Unresolved Wide Binaries
- The Brown Dwarf Kinematics Project (BDKP). II. Details on Nine Wide Common Proper Motion Very Low-Mass Companions to Nearby Stars
- Gyrochronology and its usage for main sequence cool star ages
- The Impact of Gaia DR1 on Asteroseismic Inferences from Kepler
- Ground to Dust: Collisional Cascades and the Fate of Kardashev II Megaswarms
- Open clusters: probes of galaxy evolution and bench tests of stellar models
- Stellar dynamics of low mass stars from the surface to the interior measured by CoRoT and Kepler
- Sibling Sub-Neptunes Around Sibling M Dwarfs: TOI-521 and TOI-912
- Transit Hunt for Young and Maturing Exoplanets (THYME) VIII: a Pleiades-age association harboring two transiting planetary systems from Kepler
- The Variation of Circumstellar Parameters through Early Stellar Evolution
- The AMBRE Project: Line-broadening and stellar rotation of ESO/FEROS archived spectra
- Constraining stellar rotation and planetary atmospheric evolution of a dozen systems hosting sub-Neptunes and super-Earths
- Stellar cycle variability in Mount Wilson stars and dynamo models: Rotation rate and dynamo number dependency
- Stellar multiplicity and stellar rotation: Insights from APOGEE
- Spatially Dependent Photometric Activity of M dwarfs in the Solar Cylinder
- Confronting Substellar Theoretical Models with Stellar Ages
- The SOL Project: Detailed characterization of candidates for the ZAMS and Subgiant stages
- HD 166620: Portrait of a Star Entering a Grand Magnetic Minimum
- Mechanisms for magnetic braking boost and disruption: the role of irradiation-driven winds and convective turnover time spike in cataclysmic variables
- TOI-333b: A Neptune Desert planet around a F7V star
- Rotation of young solar-type stars as seen by Gaia and K2
- TOI-1438: A rare system with two short-period sub-Neptunes and a tentative long-period Jupiter-like planet orbiting a K0V star
- Towards age/rotation/magnetic activity relation with seismology