J/AJ/106/2096 J/AJ/106/2096 New limb-darkening coefficients for modeling W Van Hamme Astron. J. 106 2096 1993 1993AJ....106.2096V Models, atmospheric Stars, binary Monochromatic, passband-specific, and bolometric limb-darkening coefficients for a linear as well as nonlinear logarithmic and square root limb-darkening laws are presented. The calculations are based on the most recent ATLAS stellar atmosphere models for solar chemical composition stars with a wide range of effective temperatures and surface gravities.

Model Model number --- Teff Effective temperature K log(g) Logarithm of the surface gravity cm/s2 xBol Bolometric linear limb-darkening coefficient x --- QBol Quality factor --- xLog Logarithmic law x coefficient --- yLog Logarithmic law y coefficient --- QLog Quality factor --- xSqu Square root law x coefficient --- ySqu Square root law y coefficient --- QSqu Quality factor --- Model Model number --- Teff Effective temperature K log(g) Logarithm of the surface gravity cm/s2 Pass Passband --- xLin Linear limb-darkening coefficient --- QLin Quality factor --- xLog Logarithmic law x coefficient --- yLog Logarithmic law y coefficient --- QLog Quality factor --- xSqu Square root law x coefficient --- ySqu Square root law y coefficient --- QSqu Quality factor --- Model Model number --- Teff Effective temperature K log(g) Logarithm of the surface gravity cm/s2 A Abundance (always solar abundance) Sun Vturb Microturbulent velocity km/s l/H Convective parameter --- Model Model number --- lambda Wavelength nm xBol Linear limb-darkening coefficient --- QBol Quality factor number=1 Quality factor Q defined as (all parameters refer to monochromatic values): Q={sum(for i=1 to 17)[D(mu_i_)-D'(mu_i_)]/(17-m)}1/2 where D(mu) = I(mu)/I(1) D'(mu) = I'(mu)/I'(1) and I(mu) is the theoretical specific intensity I'(mu) is the specific intensity according to the limb-darkening approximation This number may help in choosing which limb-darkening law to use in any particular case --- xLog Logarithmic law x coefficient --- yLog Logarithmic law y coefficient --- QLog Quality factor number=1 Quality factor Q defined as (all parameters refer to monochromatic values): Q={sum(for i=1 to 17)[D(mu_i_)-D'(mu_i_)]/(17-m)}1/2 where D(mu) = I(mu)/I(1) D'(mu) = I'(mu)/I'(1) and I(mu) is the theoretical specific intensity I'(mu) is the specific intensity according to the limb-darkening approximation This number may help in choosing which limb-darkening law to use in any particular case --- xSqu Square root law x coefficient --- ySqu Square root law y coefficient --- QSqu Quality factor number=1 Quality factor Q defined as (all parameters refer to monochromatic values): Q={sum(for i=1 to 17)[D(mu_i_)-D'(mu_i_)]/(17-m)}1/2 where D(mu) = I(mu)/I(1) D'(mu) = I'(mu)/I'(1) and I(mu) is the theoretical specific intensity I'(mu) is the specific intensity according to the limb-darkening approximation This number may help in choosing which limb-darkening law to use in any particular case --- I Intensity, I(lambda, mu=1) mW/m2/sr/nm Patricia Bauer CDS 1994Jun30AAS CD-ROM series, Volume 1, 1993 J_AJ_106_2096.xml