J/MNRAS/510/5623ivo://CDS.VizieR/J/MNRAS/510/5623doi:10.26093/cds/vizier.75105623CDSMasuda K.Petigura E.A.Hall O.J.2025-02-24T20:16:51Z2025-01-08T14:27:58ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frf-starsphotometryspectroscopyvisible-astronomyeffective-temperaturemetallicitystellar-radiistellar-distanceinfrared-astronomyastrometrytrigonometric-parallaxproper-motionsWhile stellar rotation periods P_rot_ may be measured from broad-band photometry, the photometric modulation becomes harder to detect for slower rotators, which could bias measurements of the long-period tail of the Prot distribution. Alternatively, the P_rot_ distribution of stars can be inferred from their projected rotation velocities vsin i and radii R, without being biased against photometrically quiet stars. We solve this inference problem using a hierarchical Bayesian framework, which (i) is applicable to heteroscedastic measurements of vsin(i) and R with non-Gaussian uncertainties and (ii) does not require a simple parametric form for the true P_rot_ distribution. We test the method on simulated data sets and show that the true P_rot_ distribution can be recovered from ~> 100 sets of vsin i and R measured with precisions of 1 km.s^-1^ and 4 per cent, respectively, unless the true distribution includes sharp discontinuities. We apply the method to a sample of 144 late-F/early-G dwarfs in the Kepler field with vsin(i) measured from Keck/HIRES spectra, and find that the typical rotation periods of these stars are similar to the photometric periods measured from Kepler light curves: we do not find a large population of slow rotators that are missed in the photometric sample, although we find evidence that the photometric sample is biased for young, rapidly rotating stars. Our results also agree with asteroseismic measurements of P_rot_ for Kepler stars with similar ages and effective temperatures, and show that =~ 1.1 M_{sun}_ stars beyond the middle of their main-sequence lifetimes rotate faster than predicted by standard magnetic braking laws.2022MNRAS.510.5623Mhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/MNRAS/510/5623CatalogResearchIsServedByTAP VizieR generic serviceIsServedByConesearch servicerelated-toJ/AJ/161/68 : Obliquities of 150 hot Kepler hosting stars (Louden+, 2021)II/246 : 2MASS All-Sky Catalog of Point Sources (Cutri+ 2003)I/350 : Gaia EDR3 (Gaia Collaboration, 2020)I/352 : Distances to 1.47 billion stars in Gaia EDR3V/133 : Kepler Input Catalog (Kepler Mission Team, 2009)J/AJ/154/107 : California-Kepler Survey (CKS). I. 1305 stars (Petigura+, 2017)https://github.com/kemasuda/prot_from_vsini : Data underlying this articlehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/MNRAS/510/5623https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/MNRAS/510/5623http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/MNRAS/510/5623https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/MNRAS/510/5623https://vizier.iucaa.in/viz-bin/votable?-source=J/MNRAS/510/5623http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/MNRAS/510/5623GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapCone search capability for table J/MNRAS/510/5623/table4 (Information on 144 stars used for main analysis)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/MNRAS/510/5623/table4?https://vizier.iucaa.in/viz-bin/conesearch/J/MNRAS/510/5623/table4?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/MNRAS/510/5623/table4?GETtext/xml+votable180.050000true291.157960514705637.51557391751980.0055555555555555565/3739 3741 3743 3776 3780 6/14581-14584 14586-14587 14731 14735 14746 14755-14756 14759 14763 14770 14773 14778-14779 14781 14783 14792 14794 14817 14819 14825-14827 14830 14917 14921-14923 14929-14934 14936 14939 14942 14945 14947 14950 14952 14961-14962 15045 15109 15112 15115 15117-15118 15124 15129-15130 15133-15134 15136 15145 15147-15149 15154-15157 15160 15168 15170-15172 15174 15200https://cdsarc.cds.unistra.fr/viz-bin/moc/J/MNRAS/510/5623?format=asciiOpticalInfrareddefaultJ/MNRAS/510/5623/table4Information on 144 stars used for main analysisE_D*Upper error on D* (disep)pcstat.error;stat.maxdoublee_D*Lower error on D* (disem)pcstat.errordoubleKepmagEstimated magnitude in Kepler band (kepmag)phot.mag;em.optfloatJmag2MASS J magnitude (jmag)phot.mag;em.IR.Jfloate_JmagMean error on Jmag (jmag_err)stat.errorfloatHmag2MASS H magnitude (hmag)phot.mag;em.IR.Hfloate_HmagMean error on Hmag (hmag_err)stat.errorfloatKmag2MASS K magnitude (kmag)phot.mag;em.IR.Kfloate_KmagMean error on Kmag (kmag_err)stat.errorfloatSolIDGaiaDR3 solution identifier (solution_id)meta.id;stat.fitNameGaiaEDR3GaiaDR3 name idenfifier (designation)meta.id.assoccharGaiaEDR3GaiaDR3 unique source identifier (source_id)meta.id.assocRandomIGaiaDR3 random index used to select subsets (random_index)meta.idEpochReference epoch (ref_epoch)meta.ref;time.epochfloatRA_ICRSBarycentric right ascension of the source (ICRS) at Ep=2016.0 (ra)degpos.eq.ra;meta.maine_RA_ICRSStandard error eRA=eRA*cosDE of the right ascension of the source in ICRS at Ep=2016.0 (ra_error)masstat.error;pos.eq.radoubleDE_ICRSBarycentric declination of the source (ICRS) at Ep=2016.0 (dec)degpos.eq.dec;meta.maine_DE_ICRSStandard error of the declination of the source in ICRS at at Ep=2016.0 (dec_error)masstat.error;pos.eq.decdoublePlxAbsolute stellar parallax of the source at the Ep=2016.0 (parallax)maspos.parallaxdoublee_PlxStandard error of the stellar parallax at Ep=2016.0 (parallax_error)masstat.error;pos.parallaxdoubleRPlxParallax divided by its standard error (parallax_over_error)stat.fit.omcdoublePMTotal proper motion (pm)mas/yrpos.pmdoublepmRAProper motion in right ascension pmRA*cosDE of the source in ICRS at Ep=2016.0 (pmra)mas/yrpos.pm;pos.eq.radoublee_pmRAStandard error of proper motion in right ascension direction (pmra_error)mas/yrstat.error;pos.pm;pos.eq.radouble[Fe/H]Iron to hydrogen abundance ratio (fe)log(Sun)phys.abund.Fe;arith.ratiodoublee_[Fe/H]Mean error on [Fe/H] (fe_err)log(Sun)stat.error;phys.abund.FefloatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintKICKepler Input Catalog identifier (kepid)meta.id;meta.mainintTeffEffective temperature (teff)Kphys.temperature.effectivedoublee_TeffMean error on Teff (teff_err)Kstat.error;phys.temperature.effectiveintloggSurface gravity (logg)log(cm.s**-2)phys.gravitydoublee_loggMean error on logg (logg_err)log(cm.s**-2)stat.errorfloats_R*Mean error on R* (rade)solRadstat.errordoubleD*Stellar distance (dis)pcpos.distancedoubleDEpscolCorr? Correlation between declination and pseudocolour (dec_pseudocolour_corr)stat.correlation;pos.eq.decnullableNRPblendNumber of RP blended transits (phot_rp_n_blended_transits)meta.numberfloatModePhotometry processing mode (phot_proc_mode)meta.codefloatSimbadSimbad column added by the CDSmeta.ref.urlchar_RA.icrsRight ascension (ICRS) at Epoch=J2000, proper motions taken into accountdegpos.eq.raindexed_DE.icrsDeclination (ICRS) at Epoch=J2000, proper motions taken into accountdegpos.eq.decindexedVsiniRotational velocity (vsini)km/sphys.veloc.rotatdoubleBinflag[False] The flag Binflag value (binflag)meta.codecharR*Stellar radius (rad)solRadphys.size.radiusdoubleE_R*Upper error on R* (radep)solRadstat.error;stat.maxdoublee_R*Lower error on R* (radem)solRadstat.errordoublepmDEProper motion in declination direction (pmdec)mas/yrpos.pm;pos.eq.decdoublee_pmDEStandard error of proper motion in declination direction (pmdec_error)mas/yrstat.error;pos.pm;pos.eq.decdoubleRADEcorCorrelation between right ascension and declination (ra_dec_corr)stat.correlationRAPlxcorCorrelation between right ascension and parallax (ra_parallax_corr)stat.correlationRApmRAcorCorrelation between right ascension and proper motion in right ascension (ra_pmra_corr)stat.correlationRApmDEcorCorrelation between right ascension and proper motion in declination (ra_pmdec_corr)stat.correlationDEPlxcorCorrelation between declination and parallax (dec_parallax_corr)stat.correlationDEpmRAcorCorrelation between declination and proper motion in right ascension (dec_pmra_corr)stat.correlationDEpmDEcorCorrelation between declination and proper motion in declination (dec_pmdec_corr)stat.correlationPlxpmRAcorCorrelation between parallax and proper motion in right ascension (parallax_pmra_corr)stat.correlationdoublePlxpmDEcorCorrelation between parallax and proper motion in declination (parallax_pmdec_corr)stat.correlationdoublepmRApmDEcorCorrelation between proper motion in right ascension and proper motion in declination (pmra_pmdec_corr)stat.correlationdoubleNALTotal number of observations AL (astrometric_n_obs_al)meta.numberintNACTotal number of observations AC (astrometric_n_obs_ac)meta.numberintNgALNumber of good observations AL (astrometric_n_good_obs_al)meta.numberintNbALNumber of bad observations AL (astrometric_n_bad_obs_al)meta.numberintgofALGoodness of fit statistic of model wrt along-scan observations (astrometric_gof_al)stat.fit.goodnessdoublechi2ALAL chi-square value (astrometric_chi2_al)stat.fit.paramdoubleepsiExcess noise of the source (astrometric_excess_noise)masstat.fit.paramdoublesepsiSignificance of excess noise (astrometric_excess_noise_sig)stat.fit.paramdoubleSolvedWhich parameters have been solved for? (astrometric_params_solved)meta.numberintnueff? Effective wavenumber of the source used in the astrometric solution (nu_eff_used_in_astrometry)um**-1em.freqdoublenullablepscol? Astrometrically estimated pseudocolour of the source (pseudocolour)umstat.fit.paramdoublenullablee_pscol? Standard error of the pseudocolour of the source (pseudocolour_error)umstat.errordoublenullableRApscolCorr? Correlation between right ascension and pseudocolour (ra_pseudocolour_corr)stat.correlation;pos.eq.ranullablePlxpscolCorr? Correlation between parallax and pseudocolour (parallax_pseudocolour_corr)stat.correlation;pos.parallaxdoublenullablepmRApscolCorr? Correlation between proper motion in right ascension and pseudocolour (pmra_pseudocolour_corr)pos.pm;pos.eq.radoublenullablepmDEpscolCorr? Correlation between proper motion in declination and pseudocolour (pmdec_pseudocolour_corr)pos.pm;pos.eq.decdoublenullableMatchObsAMatched FOV transits used in the AGIS solution (astrometric_matched_transits)meta.numberintNperNumber of visibility periods used in Astrometric solution (visibility_periods_used)meta.numberintamaxThe longest semi-major axis of the -5-10 error ellipsoid (astrometric_sigma5d_max)masphys.angSize.smajAxisdoubleMatchObsThe total number of field-of-view transits matched to this source (matched_transits)meta.numberintNewMatchObsThe number of transits newly incorporated into an existing source in th (new_matched_transits)meta.numberintMatchObsrmThe number of transits removed from an existing source in the current c (matched_transits_removed)meta.numberintIPDgofhaAmplitude of the IPD GoF versus position angle of scan (ipd_gof_harmonic_amplitude)stat.fit.paramdoubleIPDgofhpPhase of the IPD GoF versus position angle of scan (ipd_gof_harmonic_phase)degstat.fit.paramdoubleIPDfmpPercent of successful-IPD windows with more than one peak (ipd_frac_multi_peak)stat.fit.paramintIPDfowPercent of transits with truncated windows or multiple gate (ipd_frac_odd_win)stat.fit.paramintRUWERenormalised unit weight error (ruwe)stat.errordoubleo_GmagNumber of observations (CCD transits) that contributed to the G mean fl (phot_g_n_obs)meta.numberintFGMean flux in the G-band (phot_g_mean_flux)phot.flux.density;em.optdoublee_FGStandard deviation of the G-band fluxes divided by sqrt (phot_g_mean_flux_error)stat.errordoubleRFGMean flux in the G-band divided by its error (phot_g_mean_flux_over_error)stat.fit.omcdoubleGmagG-band mean magnitude (Vega) (phot_g_mean_mag)magphot.mag;em.optdoubleo_BPmagNumber of observations contributing to BP photometry (phot_bp_n_obs)meta.numberintFBPMean flux in the integrated BP band (phot_bp_mean_flux)phot.flux.density;em.opt.Bdoublee_FBPError on the integrated BP mean flux (phot_bp_mean_flux_error)stat.errordoubleRFBPIntegrated BP mean flux divided by its error (phot_bp_mean_flux_over_error)stat.fit.omcdoubleBPmagIntegrated BP mean magnitude (Vega) (phot_bp_mean_mag)magphot.mag;em.opt.Bdoubleo_RPmagNumber of observations (CCD transits) that contributed to the integrated RP mean flux and me (phot_rp_n_obs)meta.numberintFRPMean flux in the integrated RP band (phot_rp_mean_flux)phot.flux.density;em.opt.Rdoublee_FRPError on the integrated RP mean flux (phot_rp_mean_flux_error)stat.errordoubleRFRPIntegrated RP mean flux divided by its error (phot_rp_mean_flux_over_error)stat.fit.omcdoubleRPmagIntegrated RP mean magnitude (Vega) (phot_rp_mean_mag)magphot.mag;em.opt.RdoubleNBPcontNumber of BP contaminated transits (phot_bp_n_contaminated_transits)meta.numberfloatNBPblendNumber of BP blended transits (phot_bp_n_blended_transits)meta.numberfloatNRPcontNumber of RP contaminated transits (phot_rp_n_contaminated_transits)meta.numberfloatE(BP/RP)BP/RP excess factor (phot_bp_rp_excess_factor)arith.factordoubleBP-RPBP-RP colour (bp_rp)magphot.color;em.opt.B;em.opt.RdoubleBP-GBP-G colour (bp_g)magphot.color;em.opt;em.optdoubleG-RPG-RP colour (g_rp)magphot.color;em.opt;em.optdoubleRVDR2? Radial velocity from Gaia DR2 (dr2_radial_velocity)km/sphys.veloc;pos.barycenterdoublenullablee_RVDR2? Radial velocity error from Gaia DR2 (dr2_radial_velocity_error)km/sstat.errordoublenullableo_RVDR2Number of transits used to compute radial velocity in Gaia DR2 (dr2_rv_nb_transits)meta.numberintTefftemp? Teff of the template used to compute radial velocity in Gaia DR2 (dr2_rv_template_teff)Kstat.paramfloatnullableloggtemp? Logg of the template used to compute radial velocity in Gaia DR2 (dr2_rv_template_logg)log(cm.s**-2)stat.paramfloatnullable[Fe/H]temp? Iron to hydrogen abundance of the template used to compute radial velocity in Gaia DR2 (dr2_rv_template_fe_h)stat.paramfloatnullableGLONGalactic longitude (l)degpos.galactic.lonGLATGalactic latitude (b)degpos.galactic.latdoubleELONEcliptic longitude (ecl_lon)degpos.ecliptic.lonELATEcliptic latitude (ecl_lat)degpos.ecliptic.latdoubleSb2flag[False] Sb2 flag value (sb2flag)meta.codecharVisflag[False] Vis flag value (visflag)meta.codecharAstflag[False] Ast flag value (astflag)meta.codecharParflag[False] Par flag value (parflag)meta.codecharrgeoMedian of the geometric distance posterior (r_med_geo)pcpos.distancedoubleb_rgeo16th percentile of the geometric distance posterior (r_lo_geo)pcpos.distancedoubleB_rgeo84th percentile of the geometric distance posterior (r_hi_geo)pcpos.distancedoublerpgeoMedian of the photogeometric distance posterior (r_med_photogeo)pcpos.distancedoubleb_rpgeo16th percentile of the photogeometric distance posterior (r_lo_photogeo)pcpos.distancedoubleB_rpgeo84th percentile of the photogeometric distance posterior (r_hi_photogeo)pcpos.distancedoubleFlagFlag as from Gaia EDR3 Bailer-Jones et al. 2021AJ....161..147B Cat. I/352 (flag)meta.code.errorfloatZptmagZero point magnitude used (zpt)magphot.mag;arith.zpdoublePlxZPParallax zero-point used (parallax_zpcorrected)maspos.parallax.trigdoubleCommentsComments on spectroscopic fit (comments)meta.notechar2MASS2MASS source designation as (2MASS Jhhmmssss+ddmmsss) (tm_designation)meta.id.assoccharAPFPrimary or secondary (astrometric_primary_flag)meta.codecharDupSource with multiple source identifiers (duplicated_source)meta.code.multipchar