Precision Stellar Astrophysics in the Kepler Era

The study of fundamental properties (such as temperatures, radii, masses, and ages) and interior processes (such as convection and angular momentum transport) of stars has implications on various topics in astrophysics, ranging from the evolution of galaxies to understanding exoplanets. In this contribution I will review the basic principles of two key observational methods for constraining fundamental and interior properties of single field stars: the study stellar oscillations (asteroseismology) and optical long-baseline interferometry. I will highlight recent breakthrough discoveries in asteroseismology such as the measurement of core rotation rates in red giants and the characterization of exoplanet systems. I will furthermore comment on the reliability of interferometry as a tool to calibrate indirect methods to estimate fundamental properties, and present a new angular diameter measurement for the exoplanet host star HD219134 which demonstrates that diameters for stars which are relatively well resolved (~> 1 mas for the K band) are consistent across different instruments. Finally I will discuss the synergy between asteroseismology and interferometry to test asteroseismic scaling relations, and give a brief outlook on the expected impact of space-based missions such as K2, TESS and Gaia.

[1]  S. D. Kawaler,et al.  Ages and fundamental properties of Kepler exoplanet host stars from asteroseismology , 2015, 1504.07992.

[2]  L. Bildsten,et al.  ANGULAR MOMENTUM TRANSPORT WITHIN EVOLVED LOW-MASS STARS , 2014, 1405.1419.

[3]  Timothy M. Brown,et al.  Detection of possible p-mode oscillations on Procyon , 1991 .

[4]  Y. Lebreton,et al.  Seismic diagnostics for transport of angular momentum in stars. I. Rotational splittings from the pre-main sequence to the red-giant branch. , 2012, 1211.1271.

[5]  M. Cantiello,et al.  ANGULAR MOMENTUM TRANSPORT VIA INTERNAL GRAVITY WAVES IN EVOLVING STARS , 2014, 1409.6835.

[6]  Laurent Gizon,et al.  Determining the Inclination of the Rotation Axis of a Sun-like Star , 2003 .

[7]  R. Gilliland.  PHOTOMETRIC OSCILLATIONS OF LOW-LUMINOSITY RED GIANT STARS , 2008, 0806.1497.

[8]  D. Sasselov,et al.  The Nature of p-Modes and Granulation in Procyon: New MOST Photometry and New Yale Convection Models , 2008 .

[9]  J. Gunn,et al.  THE ASTROPHYSICAL JOURNAL Preprint typeset using LATEX style emulateapj v. 10/09/06 THE PROPAGATION OF UNCERTAINTIES IN STELLAR POPULATION SYNTHESIS MODELING I: THE RELEVANCE OF UNCERTAIN ASPECTS OF STELLAR EVOLUTION AND THE IMF TO THE DERIVED PHYSICAL PR , 2022 .

[10]  Rafael A. García,et al.  A prevalence of dynamo-generated magnetic fields in the cores of intermediate-mass stars , 2015, Nature.

[11]  F. Mullally,et al.  The K2 Mission: Characterization and Early Results , 2014, 1402.5163.

[12]  T. Bedding,et al.  SOLAR-LIKE OSCILLATIONS AND ACTIVITY IN PROCYON: A COMPARISON OF THE 2007 MOST AND GROUND-BASED RADIAL VELOCITY CAMPAIGNS , 2011, 1102.2894.

[13]  A. Michelson,et al.  Measurement of the Diameter of Alpha-Orionis by the Interferometer. , 1921, Proceedings of the National Academy of Sciences of the United States of America.

[14]  Laszlo Sturmann,et al.  STELLAR DIAMETERS AND TEMPERATURES. I. MAIN-SEQUENCE A, F, AND G STARS , 2011, 1112.3316.

[15]  Gregory A. Feiden,et al.  MAGNETIC INHIBITION OF CONVECTION AND THE FUNDAMENTAL PROPERTIES OF LOW-MASS STARS. II. FULLY CONVECTIVE MAIN-SEQUENCE STARS , 2014, 1405.1767.

[16]  D. Buzasi,et al.  Oscillating K Giants with the WIRE Satellite: Determination of Their Asteroseismic Masses , 2008, 0801.2155.

[17]  R. Gilliland,et al.  ASTEROSEISMOLOGY OF THE TRANSITING EXOPLANET HOST HD 17156 WITH HUBBLE SPACE TELESCOPE FINE GUIDANCE SENSOR , 2010 .

[18]  Howard Isaacson,et al.  Stellar Spin-Orbit Misalignment in a Multiplanet System , 2013, Science.

[19]  R. H. Brown,et al.  The Angular Diameters of 32 Stars , 1974 .

[20]  T. Bedding,et al.  Testing Asteroseismic Scaling Relations with Interferometry , 2015 .

[21]  Mark Clampin,et al.  Transiting Exoplanet Survey Satellite (TESS) , 2014, Astronomical Telescopes and Instrumentation.

[22]  H McAlister,et al.  Imaging the Surface of Altair , 2007, Science.

[23]  D. Mourard,et al.  A new interferometric study of four exoplanet host stars: θ Cygni, 14 Andromedae, υ Andromedae and 42 Draconis , 2012, 1208.3895.

[24]  D. Schneider,et al.  OSCILLATING RED GIANTS OBSERVED DURING CAMPAIGN 1 OF THE KEPLER K2 MISSION: NEW PROSPECTS FOR GALACTIC ARCHAEOLOGY , 2015, 1506.08931.

[25]  Magali Deleuil,et al.  Non-radial oscillation modes with long lifetimes in giant stars , 2009, Nature.

[26]  R. Paul Butler,et al.  Evidence for Solar-like Oscillations in β Hydri , 2001 .

[27]  D. Mullan,et al.  SURFACE MAGNETIC FIELD STRENGTHS: NEW TESTS OF MAGNETOCONVECTIVE MODELS OF M DWARFS , 2014 .

[28]  J. Schou,et al.  Seismic constraints on the radial dependence of the internal rotation profiles of six Kepler subgiants and young red giants , 2014, 1401.3096.

[29]  Ellyn K. Baines,et al.  ELEVEN EXOPLANET HOST STAR ANGULAR DIAMETERS FROM THE CHARA ARRAY , 2009, 0906.2702.

[30]  U. Munari,et al.  The GALAH survey: scientific motivation , 2015, Monthly Notices of the Royal Astronomical Society.

[31]  S. T. Ridgway,et al.  First Results from the CHARA Array. II. A Description of the Instrument , 2005 .

[32]  Hans Kjeldsen,et al.  Solar-like oscillations in eta Boo , 1994 .

[33]  D. Buzasi,et al.  Observations of p-modes in α Cen , 2000 .

[34]  Paul G. Beck,et al.  Fast core rotation in red-giant stars as revealed by gravity-dominated mixed modes , 2011, Nature.

[35]  J. Sturmann,et al.  Interferometric radii of bright Kepler stars with the CHARA Array: θ Cygni and 16 Cygni A and B , 2013, 1305.1934.

[36]  B. Mosser,et al.  The underlying physical meaning of the νmax νc relation , 2011, 1104.0630.

[37]  J. Monnier.  Optical interferometry in astronomy , 2003, astro-ph/0307036.

[38]  D. Guenther,et al.  Bayesian asteroseismology of 23 solar-like Kepler targets , 2013, 1307.4218.

[39]  David Charbonneau,et al.  KEPLER-93b: A TERRESTRIAL WORLD MEASURED TO WITHIN 120 km, AND A TEST CASE FOR A NEW SPITZER OBSERVING MODE , 2014, 1405.3659.

[40]  Jaymie M. Matthews,et al.  REVISED STELLAR PROPERTIES OF KEPLER TARGETS FOR THE QUARTER 1–16 TRANSIT DETECTION RUN , 2013, 1312.0662.

[41]  K. Braun,et al.  HOW TO CONSTRAIN YOUR M DWARF: MEASURING EFFECTIVE TEMPERATURE, BOLOMETRIC LUMINOSITY, MASS, AND RADIUS , 2015, 1501.01635.

[42]  E. Agol,et al.  VALIDATION OF KEPLER'S MULTIPLE PLANET CANDIDATES. III. LIGHT CURVE ANALYSIS AND ANNOUNCEMENT OF HUNDREDS OF NEW MULTI-PLANET SYSTEMS , 2014, 1402.6534.

[43]  K. Batygin.  A primordial origin for misalignments between stellar spin axes and planetary orbits , 2012, Nature.

[44]  M. Martic,et al.  A MULTI-SITE CAMPAIGN TO MEASURE SOLAR-LIKE OSCILLATIONS IN PROCYON. II. MODE FREQUENCIES , 2010, 1003.0052.

[45]  Howard Isaacson,et al.  FUNDAMENTAL PROPERTIES OF KEPLER PLANET-CANDIDATE HOST STARS USING ASTEROSEISMOLOGY , 2013, 1302.2624.

[46]  Jie Li,et al.  KOI-126: A Triply Eclipsing Hierarchical Triple with Two Low-Mass Stars , 2011, Science.

[47]  B. Mosser,et al.  Asymptotic and measured large frequency separations , 2012, 1212.1687.

[48]  R. K. Ulrich,et al.  Determination of stellar ages from asteroseismology , 1986 .

[49]  Detection of Solar-like Oscillations in the G7 Giant Star xi Hya , 2002, astro-ph/0209325.

[50]  J. Ridder,et al.  Detection of solar-like oscillations in the red giant star $\epsilon$ Ophiuchi by MOST spacebased photometry , 2007 .

[51]  Inga Kamp,et al.  European Physical Journal Web of Conferences , 2015 .

[52]  M. R. Haas,et al.  THE K2 ECLIPTIC PLANE INPUT CATALOG (EPIC) AND STELLAR CLASSIFICATIONS OF 138,600 TARGETS IN CAMPAIGNS 1–8 , 2015, 1512.02643.

[53]  Travis S. Metcalfe,et al.  ASTEROSEISMIC MODELING OF 16 Cyg A & B USING THE COMPLETE KEPLER DATA SET , 2015, 1508.00946.

[54]  Adam L. Kraus,et al.  THE MASS–RADIUS(–ROTATION?) RELATION FOR LOW-MASS STARS , 2010, 1011.2757.

[55]  D. Buzasi,et al.  Oscillations in Arcturus from WIRE Photometry , 2003, astro-ph/0306056.

[56]  L. Girardi,et al.  parsec: stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code , 2012, 1208.4498.

[57]  Laurent Gizon,et al.  Seismic constraints on rotation of Sun-like star and mass of exoplanet , 2013, Proceedings of the National Academy of Sciences.

[58]  Douglas O. Gough,et al.  EBK Quantization of Stellar Waves , 1986 .

[59]  D. Sasselov,et al.  MOST found evidence for solar-type oscillations in the K2 giant star HD 20884 , 2008 .

[60]  J. De Ridder,et al.  FUNDAMENTAL PROPERTIES OF STARS USING ASTEROSEISMOLOGY FROM KEPLER AND CoRoT AND INTERFEROMETRY FROM THE CHARA ARRAY , 2012, 1210.0012.

[61]  -INAF,et al.  J ul 2 00 8 Relativistic Spin Precession in the Double Pulsar , 2008 .

[62]  D. O. Gough,et al.  Oscillations of α UMa and other red giants , 2001, astro-ph/0108337.

[63]  D. Kipping,et al.  A HIGH FALSE POSITIVE RATE FOR KEPLER PLANETARY CANDIDATES OF GIANT STARS USING ASTERODENSITY PROFILING , 2014, 1401.1207.

[64]  Kaspar von Braun,et al.  STELLAR DIAMETERS AND TEMPERATURES. IV. PREDICTING STELLAR ANGULAR DIAMETERS , 2013, 1311.4901.

[65]  Santi Cassisi,et al.  A Large Stellar Evolution Database for Population Synthesis Studies. III. Inclusion of the Full Asymptotic Giant Branch Phase and Web Tools for Stellar Population Analyses , 2007 .

[66]  D. Stello,et al.  ASTEROSEISMIC CLASSIFICATION OF STELLAR POPULATIONS AMONG 13,000 RED GIANTS OBSERVED BY KEPLER , 2013, 1302.0858.

[67]  Conny Aerts,et al.  Gravity modes as a way to distinguish between hydrogen- and helium-burning red giant stars , 2011, Nature.

[68]  D. Ciardi,et al.  Stellar diameters and temperatures - V. 11 newly characterized exoplanet host stars , 2013, 1312.1792.

[69]  F. Grundahl,et al.  STRÖMGREN SURVEY FOR ASTEROSEISMOLOGY AND GALACTIC ARCHAEOLOGY: LET THE SAGA BEGIN , 2014, 1403.2754.

[70]  T. Bedding,et al.  Amplitudes of Stellar Oscillations: The Implications for Asteroseismology , 1994, astro-ph/9403015.

[71]  J. Brewer,et al.  THE PHYSICAL PARAMETERS OF THE RETIRED A STAR HD 185351 , 2014, 1407.2329.

[72]  Ivan K. Baldry,et al.  Research Note: Solar-like oscillations in $\vec{\beta}$ Hydri: Confirmation of a stellar origin for the excess power , 2001 .

[73]  D. Charbonneau,et al.  AN EMPIRICAL CALIBRATION TO ESTIMATE COOL DWARF FUNDAMENTAL PARAMETERS FROM H-BAND SPECTRA , 2014, 1412.2758.

[74]  W. D. Cochran,et al.  ASTEROSEISMIC DETERMINATION OF OBLIQUITIES OF THE EXOPLANET SYSTEMS KEPLER-50 AND KEPLER-65 , 2013, 1302.3728.

[75]  R. Gilliland,et al.  K Giants in 47 Tucanae: Detection of a New Class of Variable Stars , 1996 .

[76]  Establishing Visible Interferometer System Responses: Resolved and Unresolved Calibrators , 2005, astro-ph/0508266.

[77]  C. Baranec,et al.  AN ANCIENT EXTRASOLAR SYSTEM WITH FIVE SUB-EARTH-SIZE PLANETS , 2015, 1501.06227.

[78]  G. Feiden,et al.  MAGNETIC INHIBITION OF CONVECTION AND THE FUNDAMENTAL PROPERTIES OF LOW-MASS STARS. I. STARS WITH A RADIATIVE CORE , 2013, 1309.0033.

[79]  Yang Huang,et al.  Empirical metallicity-dependent calibrations of effective temperature against colours for dwarfs and giants based on interferometric data , 2015, 1508.06080.

[80]  F. Bouchy,et al.  P-mode observations on α Cen A ? , 2001 .

[81]  H. Kjeldsen,et al.  Asteroseismic inference on the spin-orbit misalignment and stellar parameters of HAT-P-7 , 2014, 1407.7516.

[82]  M. Tassoul,et al.  Asymptotic approximations for stellar nonradial pulsations , 1980 .

[83]  C. Aerts,et al.  WHAT ASTEROSEISMOLOGY CAN DO FOR EXOPLANETS: KEPLER-410A b IS A SMALL NEPTUNE AROUND A BRIGHT STAR, IN AN ECCENTRIC ORBIT CONSISTENT WITH LOW OBLIQUITY , 2013, 1312.4938.

[84]  Russel J. White,et al.  STELLAR DIAMETERS AND TEMPERATURES. II. MAIN-SEQUENCE K- AND M-STARS , 2012, 1208.2431.

[85]  C. Aerts,et al.  Kepler Detected Gravity-Mode Period Spacings in a Red Giant Star , 2011, Science.

[86]  Darko Jevremovic,et al.  The Dartmouth Stellar Evolution Database , 2008, 0804.4473.

[87]  R. Gilliland,et al.  SOLAR-LIKE OSCILLATIONS IN A METAL-POOR GLOBULAR CLUSTER WITH THE HUBBLE SPACE TELESCOPE , 2009, 0905.3745.

[88]  C. Flynn,et al.  Towards stellar effective temperatures and diameters at 1 per cent accuracy for future surveys , 2014, 1401.3754.

[89]  S. D. Kawaler,et al.  Ensemble Asteroseismology of Solar-Type Stars with the NASA Kepler Mission , 2011, Science.

[90]  W. Chaplin,et al.  Asteroseismology of red giants: photometric observations of Arcturus by SMEI , 2007, 0706.3346.

[91]  J. De Ridder,et al.  Mixed modes in red-giant stars observed with CoRoT , 2011, 1105.6113.

[92]  J. De Ridder,et al.  Characterization of red giant stars in the public Kepler data , 2011, 1103.0141.

[93]  A. Claret,et al.  A new non-linear limb-darkening law for LTE stellar atmosphere models. Calculations for -5.0 <= log[M/H ] <= +1, 2000 K <= Teff <= 50000 K at several surface gravities , 2000 .

[94]  S. Cassisi,et al.  A Large Stellar Evolution Database for Population Synthesis Studies. I. Scaled Solar Models and Isochrones , 2004, astro-ph/0405193.

[95]  Y. Suto,et al.  Determination of Three-dimensional Spin-orbit Angle with Joint Analysis of Asteroseismology, Transit Lightcurve, and the Rossiter-McLaughlin Effect: Cases of HAT-P-7 and Kepler-25 , 2014, 1407.7332.

[96]  L. Bildsten,et al.  Asteroseismology can reveal strong internal magnetic fields in red giant stars , 2015, Science.

[97]  S. Bloemen,et al.  Detection of solar-like oscillations in the bright red giant stars γ Piscium and θ1 Tauri from a 190-day high-precision spectroscopic multi-site campaign⋆ , 2014, 1407.6352.

[98]  A. Claret,et al.  A new non-linear limb-darkening law for LTE stellar atmosphere models III , 2000 .

[99]  J. De Ridder,et al.  Characterization of the power excess of solar-like oscillations in red giants with Kepler , 2011, 1110.0980.

[100]  J. Johnson,et al.  THE DYNAMICS OF THE MULTI-PLANET SYSTEM ORBITING KEPLER-56 , 2014, 1407.2249.

[101]  N. Kaib,et al.  55 CANCRI: A COPLANAR PLANETARY SYSTEM THAT IS LIKELY MISALIGNED WITH ITS STAR , 2011, 1110.5911.

[102]  Howard Isaacson,et al.  KEPLER-21b: A 1.6 REarth PLANET TRANSITING THE BRIGHT OSCILLATING F SUBGIANT STAR HD 179070 , 2011, 1112.2165.

[103]  J. Sturmann,et al.  The radius and mass of the close solar twin 18 Scorpii derived from asteroseismology and interferometry , 2011, 1209.0217.

[104]  Laszlo Sturmann,et al.  STELLAR DIAMETERS AND TEMPERATURES. III. MAIN-SEQUENCE A, F, G, AND K STARS: ADDITIONAL HIGH-PRECISION MEASUREMENTS AND EMPIRICAL RELATIONS , 2013, 1306.2974.

[105]  R. Mardling,et al.  The determination of planetary structure in tidally relaxed inclined systems , 2010, 1001.4079.

[106]  Peter G. Tuthill,et al.  Sensitive visible interferometry with PAVO , 2008, Astronomical Telescopes + Instrumentation.

[107]  Arthur D. Code,et al.  Empirical effective temperatures and bolometric corrections for early-type stars , 1976 .

[108]  Yu.V. Vandakurov,et al.  The Frequency Distribution of Stellar Oscillations. , 1968 .

[109]  A. Collier Cameron,et al.  The HARPS-N Rocky Planet Search. I. HD 219134 b: A transiting rocky planet in a multi-planet system at 6.5 pc from the Sun , 2015 .

[110]  Jinliang Hou,et al.  Stellar Abundance and Galactic Chemical Evolution through LAMOST Spectroscopic Survey , 2006 .

[111]  S. D. Kawaler,et al.  University of Birmingham Asteroseismology of the solar analogs 16 Cyg A and B from Kepler observations , 2012 .

[112]  Paul Smeyers,et al.  Avoided Crossing of Modes of Non-radial Stellar Oscillations , 1977 .

[113]  S. Albrecht,et al.  ECCENTRICITY FROM TRANSIT PHOTOMETRY: SMALL PLANETS IN KEPLER MULTI-PLANET SYSTEMS HAVE LOW ECCENTRICITIES , 2015, 1505.02814.

[114]  S. Bloemen,et al.  PHOTOMETRICALLY DERIVED MASSES AND RADII OF THE PLANET AND STAR IN THE TrES-2 SYSTEM , 2012, 1210.4592.

[115]  J. Ridder,et al.  Characteristics of solar-like oscillations in red giants observed in the CoRoT exoplanet field , 2009, 0906.5002.