J/ApJ/871/63  How to constrain your M dwarf. II. Nearby binaries  (Mann+, 2019)

How to constrain your M dwarf. II. The mass-luminosity-metallicity relation from 0.075 to 0.70 solar masses. Mann A.W., Dupuy T., Kraus A.L., Gaidos E., Ansdell M., Ireland M., Rizzuto A.C., Hung C.-L., Dittmann J., Factor S., Feiden G., Martinez R.A., Ruiz-rodriguez D., Chia Thao P. <Astrophys. J., 871, 63-63 (2019)> =2019ApJ...871...63M 2019ApJ...871...63M (SIMBAD/NED BibCode)
ADC_Keywords: Parallaxes, trigonometric; Spectra, infrared; Stars, M-type; Stars, dwarfs; Stars, double and multiple; Stars, masses; Abundances, [Fe/H] Keywords: binaries: visual; stars: late-type; stars: low-mass stars: luminosity function, mass function Abstract: The mass-luminosity relation for late-type stars has long been a critical tool for estimating stellar masses. However, there is growing need for both a higher-precision relation and a better understanding of systematic effects (e.g., metallicity). Here we present an empirical relationship between MKs and M* spanning 0.075M<M*<0.70M. The relation is derived from 62 nearby binaries, whose orbits we determine using a combination of near infra-red (Keck/NIRC2) imaging, archival adaptive optics data, and literature astrometry. From their orbital parameters, we determine the total mass of each system, with a precision better than 1% in the best cases. We use these total masses, in combination with resolved Ks magnitudes and system parallaxes, to calibrate the MKs-M* relation. The resulting posteriors can be used to determine masses of single stars with a precision of 2%-3%, which we confirm by testing the relation on stars with individual dynamical masses from the literature. The precision is limited by scatter around the best-fit relation beyond measured M* uncertainties, perhaps driven by intrinsic variation in the MKs-M* relation or underestimated uncertainties in the input parallaxes. We find that the effect of [Fe/H] on the MKs-M* relation is likely negligible for metallicities in the solar neighborhood (0.0%±2.2% change in mass per dex change in [Fe/H]). This weak effect is consistent with predictions from the Dartmouth Stellar Evolution Database, but inconsistent with those from modules for experiments in stellar astrophysics (MESA) Isochrones and Stellar Tracks (MIST) (at 5σ). A sample of binaries with a wider range of abundances will be required to discern the importance of metallicity in extreme populations (e.g., in the Galactic halo or thick disk). Description: We obtained near infra-red (NIR) spectra for 58 of our 62 nearby binary targets using the SpeX spectrograph on the NASA Infrared Telescope Facility (IRTF) atop Maunakea. Observations were taken between 2011 May and 2017 November (wavelength coverage from 0.9 to 2.5um and R∼2000). We analyzed a mix of Adaptative Optics (AO) data from our own program with Keck/NIRC2 and archival imaging from the Keck II Telescope, the Canada-France-Hawaii Telescope (CFHT), the Very Large Telescope (VLT), and the Gemini North Telescope. As part of a long-term monitoring program with KeckII atop Maunakea, between 2015 June and 2018 July we observed 51 of the 55 multistar systems analyzed here. All observations were taken using the facility AO imager NIRC2 (in K' (λc=2.124um) or narrow Kcontc=2.271um) filter). In addition to our own data, we downloaded images from the Keck Observatory Archive (KOA), spanning 2002 March to 2015 November, all of which were taken with the NIRC2 imager (in H- or K-band filters). We obtained data for 34 of our targets from the Canadian Astronomy Data Centre archive, all taken with the 3.6m Canada-France-Hawaii Telescope (CFHT) using the Adaptive Optics Bonnette (AOB) and the KIR infrared camera. A total of 239 data sets were included. Observations spanned 1997 December to 2007 January. Images were taken using a range of filters across JHK bands, but the majority used either the narrowband Brγ or [FeII] filters. We downloaded AO-corrected images from the European Southern Observatory (ESO) archive taken with the Nasmyth Adaptive Optics System Near-Infrared Imager and Spectrograph (NAOS-CONICA, or NaCo) instrument on very large telescope (VLT). Data spanned 2002 November to 2016 October, with about half of the 72 data sets taken from 2001 to 2005. Data covered 21 of our targets with a wide range of filters, but the majority were taken either in broadband Ks and L or narrowband [FeII] and Brγ filters. We retrieved 36 data sets for eight of our targets from the Gemini archive, all taken with the AO Near-Infrared imager (NIRI) on the Frederick C. Gillett Gemini Telescope (Gemini North). All observations were taken between 2004 August and 2011 February with the assistance of the ALTtitude conjugate Adaptive optics for the InfraRed (ALTAIR). Most observations were taken using broadband J-, H-, or K-band filters. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 . This file table1.dat 104 62 Binary Sample table2.dat 155 1142 Input astrometry and photometry table5.dat 202 55 Orbital Parameters -------------------------------------------------------------------------------- See also: II/246 : 2MASS All-Sky Catalog of Point Sources (Cutri+, 2003) I/345 : Gaia DR2 (Gaia Collaboration, 2018) J/AJ/106/773 : Mass-luminosity relation (Henry+, 1993) J/A+A/385/87 : Speckle interferometry of nearby multiple stars (Balega+,2002) J/A+A/398/239 : RI differential photometry of CU Cnc (Ribas, 2003) J/ApJ/705/1416 : Volume-limited sample of M7-M9.5 dwarfs <20pc (Reiners+, 2009) J/AJ/139/205 : 2007-2008 WIYN speckle observations of binaries (Horch+, 2010) J/A+A/530/A138 : Geneva-Copenhagen survey re-analysis (Casagrande+, 2011) J/AJ/141/45 : Speckle observations of HIP stars (Horch+, 2011) J/AJ/141/157 : Speckle interferometry at USNO. XVI. (Mason+, 2011) J/AJ/141/166 : HATNet variability survey of K and M dwarfs (Hartman+, 2011) J/ApJ/728/48 : Multicolor eclipse data for 6 new binaries (Kraus+, 2011) J/ApJ/748/93 : K-band spectra for 133 nearby M dwarfs (Rojas-Ayala+, 2012) J/ApJ/750/L37 : Stellar parameters of low-mass KOIs (Muirhead+, 2012) J/ApJ/754/44 : The AstraLux Large M-dwarf Survey (Janson+ 2012) J/ApJS/201/19 : Hawaii Infrared Parallax Program. I. (Dupuy+, 2012) J/A+A/556/A15 : Effective temperature scale of M dwarfs (Rajpurohit+, 2013) J/AJ/145/52 : Abundances of K and M dwarfs in binary systems (Mann+, 2013) J/AJ/145/102 : Spectroscopy of M dwarfs in the northern sky (Lepine+, 2013) J/ApJ/779/188 : Spectra of nearby late K and M Kepler stars (Mann+, 2013) J/MNRAS/429/859 : New companions to nearby low-mass stars (Jodar+, 2013) J/AJ/147/20 : Spectroscopy of 447 nearby M dwarfs (Newton+, 2014) J/AJ/147/94 : Solar neighborhood. XXXII. L and M dwarfs (Dieterich+, 2014) J/ApJ/789/102 : Properties of late M-dwarfs (Janson+, 2014) J/ApJ/791/54 : Nearby M Dwarfs parameters (Gaidos+, 2014) J/MNRAS/443/2561 : CONCH-SHELL catalog of nearby M dwarfs (Gaidos+, 2014) J/ApJ/800/85 : Teff, radii and luminosities of cool dwarfs (Newton+, 2015) J/ApJ/804/64 : Empirical and model parameters of 183 M dwarfs (Mann+, 2015) J/AJ/152/141 : Solar neighborhood. XXXVII. RVs for M dwarfs (Benedict+, 2016) J/ApJS/225/32 : Extended abundance analysis of cool stars (Brewer+, 2016) J/MNRAS/457/2877 : Kepler M dwarf stars revised properties (Gaidos+, 2016) J/ApJ/836/167 : K2 planetary syst. around low-mass stars. I. (Dressing+, 2017) J/AJ/154/224 : Transiting planets in young clusters from K2 (Rizzuto+, 2017) J/AJ/155/114 : HAT-TR-318-007: a double-lined M dwarf binary (Hartman+, 2018) J/AJ/155/225 : M dwarf rotational broadening measurements (Kesseli+, 2018) Byte-by-byte Description of file: table1.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1 I1 --- Set [1/2] Sample code (1) 3- 12 A10 --- Name System identifier 14- 15 A2 --- m_Name Component pairing 17- 18 I2 h RAh Hour of Right Ascension (J2000) 20- 21 I2 min RAm Minute of Right Ascension (J2000) 23- 26 F4.1 s RAs Second of Right Ascension (J2000) 28 A1 --- DE- Sign of the Declination (J2000) 29- 30 I2 deg DEd Degree of Declination (J2000) 32- 33 I2 arcmin DEm Arcminute of Declination (J2000) 35- 36 I2 arcsec DEs Arcsecond of Declination (J2000) 38- 43 F6.3 mag Ksmag [3.1/13] System apparent 2MASS Ks band magnitude (unless flagged) 45- 49 F5.3 mag e_Ksmag [0.01/0.05] Uncertainty in System Ksmag 51 A1 --- f_Ksmag [be] Flag on Ksmag (2) 53- 57 F5.3 mag DKsmag [0.001/4.3] Differential system Ks band magnitude 59- 63 F5.3 mag e_DKsmag [0.01/0.075] Uncertainty in DKsmag 65- 71 F7.5 Msun Mass [0.14/1.6] System mass 73- 79 F7.5 Msun e_Mass [3.9e-4/0.18] Uncertainty in Mass 81- 85 F5.2 [Sun] [Fe/H] Metallicity (3) 87 A1 --- f_[Fe/H] [cd] Flag on [Fe/H] (4) 89- 95 F7.3 mas plx Parallax 97-101 F5.3 mas e_plx Uncertainty in plx 103-104 I2 --- r_plx Reference code for plx (5) -------------------------------------------------------------------------------- Note (1): Set as follows : 1 = Systems analyzed in this paper 2 = Systems from Dupuy+ (2017, J/ApJS/231/15) Note (2): Flags as follows : b = Synthetic Ks magnitudes derived from spectra. All other Ks magnitudes are from 2MASS. e = Ks magnitude from 2MASS contains a third star, listed Ks magnitude has third star's flux removed Note (3): Errors on [Fe/H] are limited primarily by the calibration (Mann+ 2013, J/AJ/145/52 and 2014AJ....147..160M 2014AJ....147..160M) and are 0.08dex for all targets unless otherwise noted. Note (4): Flags as follows : c = Abundance derived from lower-resolution Infrared Telescope Facility (IRTF) spectrum, e_[Fe/H] estimated to be 0.12dex. d = L dwarfs are beyond the calibration range of Mann+ (2014AJ....147..160M 2014AJ....147..160M) [Fe/H] values should be used with caution. Note (5): References as follows : 1 = This work (MEarth) 2 = van Leeuwen (2007, I/311) 3 = Benedict+ (2016,J/AJ/152/141) 4 = Dupuy+ (2017, J/ApJS/231/15) 5 = van Altena+ (1995gcts.book.....V 1995gcts.book.....V) 6 = Finch+ (2016,J/AJ/151/160) 7 = Goldin & Makarov (2006ApJS..166..341G 2006ApJS..166..341G) 8 = Soderhjelm (1999, J/A+A/341/121) 9 = Bartlett+ (2017, J/AJ/154/151) 10 = Riedel+ (2010AJ....140..897R 2010AJ....140..897R) 11 = Gaia Collaboration+ (2016A&A...595A...2G 2016A&A...595A...2G) 12 = companion to star in Lindegren+ (2018A&A...616A...2L 2018A&A...616A...2L) -------------------------------------------------------------------------------- Byte-by-byte Description of file: table2.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 10 A10 --- Name System identifier 12- 13 I2 h RAh Hour of Right Ascension (J2000) 15- 16 I2 min RAm Minute of Right Ascension (J2000) 18- 21 F4.1 s RAs Second of Right Ascension (J2000) 23 A1 --- DE- Sign of the Declination (J2000) 24- 25 I2 deg DEd Degree of Declination (J2000) 27- 28 I2 arcmin DEm Arcminute of Declination (J2000) 30- 31 I2 arcsec DEs Arcsecond of Declination (J2000) 33- 42 A10 "Y/M/D" Date UT Date of the observation (1) 44- 51 F8.3 mas Sep [35/3321] Separation (ρ) 53- 58 F6.3 mas e_Sep [0.04/80] Uncertainty in Sep 60- 66 F7.3 deg PA Position angle (θ) 68- 72 F5.3 deg e_PA [0.01/7.6] Uncertainty in PA 74- 80 A7 --- Filt Filter used in the observation 82- 87 F6.3 mag Dmag [-0.1/5.5]? Magnitude difference (Δm) (2) 89- 93 F5.3 mag e_Dmag [0.01/0.9]? Uncertainty in Dmag 95-133 A39 --- Ref Observation reference (3) 142-155 A14 --- PI Principal investigator (4) -------------------------------------------------------------------------------- Note (1): Dates from literature points may be off by 1 day due to inconsistency in reporting UT versus local date. Note (2): Errors are based on the scatter in individual images, and are likely underestimated. Note (3): Astrometry with source as Keck/NIRC2, CFHT/KIR, VLT/NaCo, or Gemini/NIRI are from this paper. All other measurements list the paper reference. Note (4): For archive observatory (AO) data analyzed in this paper (from our program or the archive) as it was listed in the image header. -------------------------------------------------------------------------------- Byte-by-byte Description of file: table5.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 10 A10 --- Name System identifier 12- 19 F8.5 yr Per [0.84/63] Orbital period 21- 27 F7.5 yr E_Per [1.4e-4/9.2] Upper uncertainty in Per 29- 35 F7.5 yr e_Per [1.4e-4/7.2] Lower uncertainty in Per 37- 43 F7.2 mas a [80/2447] Semi-major axis (α) 45- 50 F6.2 mas E_a [0.17/113] Upper uncertainty in a 52- 56 F5.2 mas e_a [0.17/84] Lower uncertainty in a 58- 64 F7.5 --- e [0.029/0.87] Eccentricity 66- 72 F7.5 --- E_e [1.3e-4/0.14]Upper uncertainty in e 74- 80 F7.5 --- e_e [1.3e-4/0.12] Lower uncertainty in e 82- 88 F7.3 deg i [12/167] Inclination 90- 94 F5.3 deg E_i [0.016/6.3] Upper uncertainty in i 96-100 F5.3 deg e_i [0.016/9.5] Lower uncertainty in i 102-108 F7.3 deg omega [1.4/350] Argument of periastron (ω) 110-116 F7.3 deg E_omega [0.02/332] Upper uncertainty in omega 118-123 F6.3 deg e_omega [0.02/60] Lower uncertainty in omega 125-131 F7.3 deg Omega [8/265] Position angle of the ascending node (Ω) 133-138 F6.3 deg E_Omega [0.022/46] Upper uncertainty in Omega 140-146 F7.3 deg e_Omega [0.022/163] Lower uncertainty in Omega 148-155 F8.2 d MJD [51189/71033] Modified Julian Date of periastron passage 157-164 F8.2 d E_MJD [0.23/12032] Upper uncertainty in MJD 166-172 F7.2 d e_MJD [0.23/3397] Lower uncertainty in MJD 174-182 E9.4 arcsec3/yr2 a3/P2 [2.9e-5/0.013] Semi-major axis cubed dived by Period squared 184-192 E9.4 arcsec3/yr2 e_a3/P2 [1.3e-7/1.9e-4] Uncertainty in a3/P2 194-198 F5.1 --- chi2 [1.5/124] The χ2 200-202 I3 --- dof [3/105] Degrees of freedom -------------------------------------------------------------------------------- History: From electronic version of the journal References: Mann et al. Paper I. 2015ApJ...804...64M 2015ApJ...804...64M cat. J/ApJ/804/64
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