The Astrophysical Journal, 804:64 (38pp), 2015 May 1 doi:10.1088/0004-637X/804/1/64 © 2015. The American Astronomical Society. All rights reserved. HOW TO CONSTRAIN YOUR M DWARF: MEASURING EFFECTIVE TEMPERATURE, BOLOMETRIC LUMINOSITY, MASS, AND RADIUS Andrew W. Mann1,2,8,9, Gregory A. Feiden3, Eric Gaidos4,5,10, Tabetha Boyajian6, and Kaspar von Braun7 1 University of Texas at Austin, USA;
[email protected] 2 Institute for Astrophysical Research, Boston University, USA 3 Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20, Uppsala, Sweden 4 Department of Geology and Geophysics, University of Hawaii at Manoa, Honolulu, HI 96822, USA 5 Max Planck Institut für Astronomie, Heidelberg, Germany 6 Department of Astronomy, Yale University, New Haven, CT 06511, USA 7 Lowell Observatory, 1400 W. Mars Hill Rd., Flagstaff, AZ, USA Received 2015 January 6; accepted 2015 February 26; published 2015 May 4 ABSTRACT Precise and accurate parameters for late-type (late K and M) dwarf stars are important for characterization of any orbiting planets, but such determinations have been hampered by these stars’ complex spectra and dissimilarity to the Sun. We exploit an empirically calibrated method to estimate spectroscopic effective temperature (Teff) and the Stefan–Boltzmann law to determine radii of 183 nearby K7–M7 single stars with a precision of 2%–5%. Our improved stellar parameters enable us to develop model-independent relations between Teff or absolute magnitude and radius, as well as between color and Teff. The derived Teff–radius relation depends strongly on [Fe/H],as predicted by theory.