Period spacings of $\gamma$ Doradus pulsators in the \textit{Kepler} field: Rossby and gravity modes in 82 stars

Abstract

Rossby modes are the oscillations in a rotating fluid, whose restoring force is the Coriolis force. They provide an additional diagnostic to understand the rotation of stars, which complicates asteroseismic modelling. We report 82 $\gamma$\,Doradus stars for which clear period spacing patterns of both gravity and Rossby modes have been detected. The period spacings of both show a quasi-linear relation with the pulsation period but the slope is negative for the gravity modes and positive for the Rossby modes. Most Rossby modes have $k=-2,m=-1$. For only one star a series of $k=-1,m=-1$ modes is seen. For each pattern, the mean pulsation period, the mean period spacing, and the slope are measured. We find that the slope correlates with the mean period for Rossby mode patterns. The traditional approximation of rotation is used to measure the near-core rotation rate, assuming the star rotates rigidly. We report the near-core rotation rates, the asymptotic period spacings, and the radial orders of excited modes of these 82 main-sequence stars. The near-core rotation rates lie between $0.6{\mathrm{d}}^{-1}$ and $2.3{\mathrm{d}}^{-1}$. Six stars show surface rotation modulations, among which only KIC\,3341457 shows differential rotation while the other five stars have uniform rotations. The radial orders of excited modes show different distributions for the dipole and quadrupole gravity modes versus the Rossby modes.

arXiv commentAccepted by MNRAS. There is an online-only appendix. Please find it from MNRAS webpage

References in corpus (57)

• emcee: The MCMC Hammer
• The chemical composition of the Sun
• Gaia Data Release 2. Summary of the contents and survey properties
• The Gaia mission
• Modules for Experiments in Stellar Astrophysics (MESA)
• Kepler Mission Design, Realized Photometric Performance, and Early Science
• Rotation Periods of 34,030 Kepler Main-Sequence Stars: The Full Autocorrelation Sample
• A new class of unstable modes of rotating relativistic stars
• Magnetic fields of non-degenerate stars
• GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme
• Kepler Eclipsing Binary Stars. VII. The Catalog of Eclipsing Binaries Found in the Entire Kepler Data-Set
• Revised Stellar Properties of Kepler Targets for the Q1-17 (DR25) Transit Detection Run
• Calculating asteroseismic diagrams for solar-like oscillations
• Rotation and magnetism of Kepler pulsating solar-like stars. Towards asteroseismically calibrated age-rotation relations
• Probing the properties of convective cores through g modes: high-order g modes in SPB and gamma Doradus stars
• Rotational velocities of A-type stars. III. Velocity distributions
• Gamma Doradus Stars: Defining a New Class of Pulsating Variables
• Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
• The interior rotation of a sample of gamma Doradus stars from ensemble modelling of their gravity mode period spacings
• Kepler Eclipsing Binary Stars. III. Classification of Kepler Eclipsing Binary Light Curves with Locally Linear Embedding
• Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
• {\em Gaia}-derived luminosities of {\em Kepler} A/F stars and the pulsator fraction across the δ Scuti instability strip
• Signatures of internal rotation discovered in the Kepler data of five slowly pulsating B stars
• A unifying explanation of complex frequency spectra of gamma Dor, SPB and Be stars: combination frequencies and highly non-sinusoidal light curves
• A new asteroseismic diagnostic for internal rotation in $\gamma$ Doradus stars
• Gaia Data Release 2: Variable stars in the colour-absolute magnitude diagram
• Transport and mixing in the radiation zones of rotating stars II. Axisymmetric magnetic field
• Global-scale equatorial Rossby waves as an essential component of solar internal dynamics
• The Rotation Of The Deep Solar Layers
• Theory and evidence of global Rossby waves in upper main-sequence stars: r-mode oscillations in many Kepler stars
• On the sensitivity of gravito-inertial modes to differential rotation in intermediate-mass main-sequence stars
• Tidal Synchronization and Differential Rotation of Kepler Eclipsing Binaries
• Asteroseismic detection of latitudinal differential rotation in 13 Sun-like stars
• Forward asteroseismic modeling of stars with a convective core from gravity-mode oscillations: parameter estimation and stellar model selection
• Asteroseismic modelling of the two F-type hybrid pulsators KIC10080943A and KIC10080943B
• Measurement of acoustic glitches in solar-type stars from oscillation frequencies observed by Kepler
• Asteroseismic masses, ages, and core properties of $\gamma$ Doradus stars using gravito-inertial dipole modes and spectroscopy
• The internal rotation profile of the B-type star KIC10526294 from frequency inversion of its dipole gravity modes and statistical model comparison
• Detecting non-uniform period spacings in the Kepler photometry of gamma Doradus stars: methodology and case studies
• Influence of the Coriolis force on the instability of slowly pulsating B stars
• The surface nitrogen abundance of a massive star in relation to its oscillations, rotation, and magnetic field
• Period spacings of $\gamma$ Doradus pulsators in the Kepler field: detection methods and application to 22 slow rotators
• Deciphering the oscillation spectrum of $\gamma$ Doradus and SPB stars
• KIC 10080943: a binary star with two $\gamma$ Doradus/$\delta$ Scuti hybrid pulsators. Analysis of the g modes
• CoRoT's view on variable B8/9 stars: spots versus pulsations: Evidence for differential rotation in HD 174648
• Rossby Wave Instability in Astrophysical Discs
• Triple system HD 201433 with a SPB star component seen by BRITE-Constellation: Pulsation, differential rotation, and angular momentum transfer
• An astrophysical interpretation of the remarkable g-mode frequency groups of the rapidly rotating $\gamma$ Dor star, KIC 5608334
• Long-term variation in the Sun's activity caused by magnetic Rossby waves in the tachocline
• Gravity Modes Reveal the Internal Rotation of a Post-mass Transfer Gamma Doradus/Delta Scuti Hybrid Pulsator in Kepler Eclipsing Binary KIC 9592855
• Echelle diagrams and period spacings of g modes in gamma Doradus stars from four years of Kepler observations
• Constraints on the Steady-State R-mode Amplitude in Neutron Star Transients
• Chemical abundances of fast-rotating massive stars. II. Interpretation and comparison with evolutionary models
• Theoretical seismic properties of pre-main sequence gamma Doradus pulsators
• Asymptotic theory of gravity modes in rotating stars II. Impact of general differential rotation
• The two-dimensional internal rotation of KIC11145123
• 2D computations of g modes

Cited by in corpus (42)

• Probing the interior physics of stars through asteroseismology
• Surface rotation and photometric activity for Kepler targets. II. G and F main-sequence stars, and cool subgiant stars
• The first view of $\delta$ Scuti and $\gamma$ Doradus stars with the TESS mission
• Rotation of the convective core in $\gamma$ Dor stars measured by dips in period spacings of g modes coupled with inertial modes
• Gravity-mode period spacings and near-core rotation rates of 611 $\gamma$ Doradus stars with \textit{Kepler}
• First evidence of inertial modes in $\gamma$ Doradus stars: The core rotation revealed
• KIC 4142768: An Evolved Gamma Doradus/Delta Scuti Hybrid Pulsating Eclipsing Binary with Tidally Excited Oscillations
• The effect of tides on near-core rotation: analysis of 35 Kepler $\gamma$ Doradus stars in eclipsing and spectroscopic binaries
• Period spacings of gravity modes in rapidly rotating magnetic stars II. The case of an oblique dipolar fossil magnetic field
• Highlights of Discoveries for $\delta$ Scuti Variable Stars From the Kepler Era
• A comparison of the dynamical and model-derived parameters of the pulsating eclipsing binary KIC9850387
• Classifying Kepler light curves for 12,000 A and F stars using supervised feature-based machine learning
• Isochrone-cloud fitting of the extended Main-Sequence Turn-Off of young clusters
• Asteroseismology of the young open cluster NGC 2516 I: Photometric and spectroscopic observations
• Tango of celestial dancers: A sample of detached eclipsing binary systems containing g-mode pulsating components. A case study of KIC9850387
• Core-Envelope Coupling in Intermediate-Mass Core-Helium Burning Stars
• The effect of the centrifugal acceleration on period spacings of gravito-inertial modes in intermediate-mass stars
• A Mass-accreting Gamma Doradus Pulsator with a Synchronized Core in Kepler Eclipsing Binary KIC 7385478
• The traditional approximation of rotation for rapidly rotating stars and planets. I. The impact of strong deformation
• The Pulsation Properties of $\lambda$ Bootis Stars I. The Southern TESS Sample
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Spinning up the Surface: Evidence for Planetary Engulfment or Unexpected Angular Momentum Transport?
• Backtracing the internal rotation history of the $\beta$ Cep star HD 129929
• Exploring the stellar rotation of early-type stars in the LAMOST Medium-Resolution Survey. I. Catalog
• TIC 308396022: a $\delta$ Scuti--$\gamma$ Doradus hybrid with large-amplitude radial fundamental mode and regular g-mode period spacing
• Improved Asymptotic Expressions for the Eigenvalues of Laplace's Tidal Equations
• Rotational modulation in A and F stars: Magnetic stellar spots or convective core rotation?
• Unresolved Rossby and gravity modes in 214 A and F stars showing rotational modulation
• Stellar rotation rates in Kepler eccentric (heartbeat) binaries obtained from r-mode signatures
• Semi-Analytical Expression of G-Mode Period Spacing: The Case of Brunt-Väisälä Frequency with Not a Jump But a Ramp
• KIC~8975515: a fast-rotating ($\gamma$ Dor - $\delta$ Sct) hybrid star with Rossby modes and a slower $\delta$ Sct companion in a long-period orbit
• Differential Rotation in Convective Envelopes: Constraints from Eclipsing Binaries
• Asteroseismology of the young open cluster NGC 2516 II. Constraining cluster age using gravity-mode pulsators
• Exploring the Stellar Rotation of Early-type Stars in the LAMOST Medium-resolution Survey. III. Evolution
• Rossby waves on stellar equatorial beta-planes: uniformly rotating radiative stars
• Constraining differential rotation in gamma Doradus stars from inertial dips properties
• Properties of observable mixed inertial and gravito-inertial modes in γ Doradus stars
• Variable Blue Straggler Stars in Open Cluster NGC 6819 Observed in the Kepler 'Superstamp' Field
• Exploring the probing power of gamma-Dor's inertial dip for core magnetism: case of a toroidal field
• KIC 4150611: A quadruply eclipsing heptuple star system with a g-mode period-spacing pattern Asteroseismic modelling of the g-mode period-spacing pattern
• Radial Trapping of Thermal Rossby Waves within the Convection Zones of Low-Mass Stars
• Resonance locking and tidal evolution in rotating γ-Doradus binaries