Rotation and magnetism of Kepler pulsating solar-like stars: Towards asteroseismically calibrated age-rotation relations

Research output: Contribution to journalArticlepeer-review


  • R. A. García
  • T. Ceillier
  • D. Salabert
  • S. Mathur
  • J. L. Van Saders
  • M. Pinsonneault
  • J. Ballot
  • P. G. Beck
  • S. Bloemen
  • J. D. Do Nascimento
  • S. Mathis
  • T. S. Metcalfe
  • M. B. Nielsen
  • J. C. Suárez
  • A. Jiménez
  • C. Karoff

Colleges, School and Institutes

External organisations

  • Aarhus Universitet
  • Ohio State University
  • Radboud University
  • Institute for Astronomy (IfA), University of Vienna, Türkenschanzstrasse 17, 1180 Vienna, Austria ; Instituut voor Sterrenkunde, K.U. Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium
  • Laboratoire AIM, CEA/DSM-CNRS-Univ. Paris Diderot-IRFU/SAp, Centre de Saclay
  • Institut de Recherche en Astrophysique et Planétologie, CNRS, 14 avenue E. Belin, 31400 Toulouse, France ; Université de Toulouse, UPS-OMP, IRAP, 31400 Toulouse, France
  • Instituut voor Sterrenkunde, Katholieke Universiteit Leuven
  • Institut für Astrophysik, Georg-August-Universität Göttingen
  • Max Planck Institute for Solar System Research
  • Instituto de Astrofísica de Andalucía (CSIC), CP3004, Granada, Spain
  • Instituto de Astrofísica de Canarias (IAC)
  • Space Science Institute
  • Harvard-Smithsonian Center for Astrophysics
  • U. Federal Do Rio Grande Do Norte, UFRN, Dep. de Física Teórica e Experimental
  • Stellar Astrophysics Centre, Dept. of Physics and Astronomy, Aarhus Univ.
  • Universidad de la Laguna


Kepler ultra-high precision photometry of long and continuous observations provides a unique dataset in which surface rotation and variability can be studied for thousands of stars. Because many of these old field stars also have independently measured asteroseismic ages, measurements of rotation and activity are particularly interesting in the context of age-rotation-activity relations. In particular, age-rotation relations generally lack good calibrators at old ages, a problem that this Kepler sample of old-field stars is uniquely suited to address. We study the surface rotation and photometric magnetic activity of a subset of 540 solar-like stars on the main-sequence and the subgiant branch for which stellar pulsations have been measured. The rotation period was determined by comparing the results from two different analysis methods: i) the projection onto the frequency domain of the time-period analysis, and ii) the autocorrelation function of the light curves. Reliable surface rotation rates were then extracted by comparing the results from two different sets of calibrated data and from the two complementary analyses. General photometric levels of magnetic activity in this sample of stars were also extracted by using a photometric activity index, which takes into account the rotation period of the stars. We report rotation periods for 310 out of 540 targets (excluding known binaries and candidate planet-host stars); our measurements span a range of 1 to 100 days. The photometric magnetic activity levels of these stars were computed, and for 61.5% of the dwarfs, this level is similar to the range, from minimum to maximum, of the solar magnetic activity. We demonstrate that hot dwarfs, cool dwarfs, and subgiants have very different rotation-age relationships, highlighting the importance of separating out distinct populations when interpreting stellar rotation periods. Our sample of cool dwarf stars with age and metallicity data of the highest quality is consistent with gyrochronology relations reported in the literature.


Original languageEnglish
Article numberA34
JournalAstronomy and Astrophysics
Publication statusPublished - 1 Dec 2014


  • Asteroseismology, Stars: activity, Stars: evolution, Stars: oscillations, Stars: rotation, Stars: solar-type