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J/A+A/600/A30        Limb-darkening for TESS satellite            (Claret, 2017)

Limb and gravity-darkening coefficients for the TESS satellite at several metallicities, surface gravities and microturbulent velocities. Claret A. <Astron. Astrophys. 600, A30 (2017)> =2017A&A...600A..30C
ADC_Keywords: Models, atmosphere ; Photometry Keywords: planetary systems - stars: atmospheres - binaries, eclipsing Abstract: We present new gravity and limb-darkening coefficients for a wide range of effective temperatures, gravities, metallicities, and microturbulent velocities. These coefficients can be used in many different fields of stellar physics as synthetic light curves of eclipsing binaries and planetary transits, stellar diameters, line profiles in rotating stars, and others. Description: The limb-darkening coefficients were computed specifically for the photometric system of the space mission TESS and were performed by adopting the least-square method. In addition, the linear and bi-parametric coefficients, by adopting the flux conservation method, are also available. On the other hand, to take into account the effects of tidal and rotational distortions, we computed the passband gravity-darkening coefficients y(λ) using a general differential equation in which we consider the effects of convection and of the partial derivative (dln(Iλ)/dlng)Teff. To generate the limb-darkening coefficients we adopt two stellar atmosphere models: ATLAS (plane-parallel) and PHOENIX (spherical, quasi-spherical, and r-method). The specific intensity distribution was fitted using five approaches: linear, quadratic, square root, logarithmic, and a more general one with four terms. These grids cover together 19 metallicities ranging from 10-5 up to 10+1 solar abundances, 0≤logg≤6.0 and 1500K≤Teff≤50000K. The calculations of the gravity-darkening coefficients were performed for all plane-parallel ATLAS models. File Summary:
FileName Lrecl Records Explanations
ReadMe 80 . This file table2.dat 54 112 u linear LDCs, quasi-spherical, PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table3.dat 54 112 u linear LDCs, r method PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table4.dat 77 112 a,b quadratic LDCs, quasi-spherical PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table5.dat 77 112 a,b quadratic LDCs, r method PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table6.dat 77 112 c,d square-root LDCs, quasi-spherical PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table7.dat 77 112 c,d square-root LDCs, r method PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table8.dat 77 112 e,f logarithmic LDCs, quasi-spherical PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table9.dat 77 112 e,f logarithmic LDCs, r method PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table10.dat 77 112 a1,a2,a3,a4 LDCs, quasi-spherical PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM) table11.dat 77 112 a1,a2,a3,a4 LDCs, r method PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM) table12.dat 77 112 a1,a2,a3,a4 LDCs, spherical PHOENIX-DRIFT models, solar metallicity, v.tu=2 km/s for TESS (LSM) table13.dat 54 574 u linear LDCs, quasi-spherical, PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table14.dat 54 574 u linear LDCs, r method, PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table15.dat 77 574 a,b quadratic LDCs, quasi-spherical PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table16.dat 77 574 a,b quadratic LDCs, r method PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table17.dat 77 574 c,d square-root LDCs, quasi-spherical PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table18.dat 77 574 c,d square-root LDCs, r method PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table19.dat 77 574 e,f logarithmic LDCs, quasi-spherical PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table20.dat 77 574 e,f logarithmic LDCs, r method PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM and PCM) table21.dat 77 574 a1,a2,a3,a4 LDCs, quasi-spherical PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM) table22.dat 77 574 a1,a2,a3,a4 LDCs, r method PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM) table23.dat 77 574 a1,a2,a3,a4 LDCs, spherical PHOENIX-COND models, solar metallicity, v.tu=2 km/s for TESS (LSM) table24.dat 52 9586 u linear LDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM, PCM) table25.dat 74 9586 a, b quadratic LDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM, PCM) table26.dat 74 9586 c,d square-root LDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM, PCM) table27.dat 74 9586 e,f logarithmic LDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM, PCM) table28.dat 74 9586 a1,a2,a3,a4 LDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM) table29.dat 40 9575 y GDCs, ATLAS models, all metallicities, v.tu=0,1,2,4,8 km/s for TESS
See also: J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000) J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011) J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer (Claret+, 2012) Byte-by-byte Description of file: table[23].dat table1[34].dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0.0/6.0] Surface gravity 7- 12 F6.0 K Teff [1500/50000] Effective temperature 14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H]) 20- 22 F3.1 --- L/HP [2] Mixing-length parameter 24- 31 F8.4 --- uLSM Linear limb darkening coefficient u (TESS LSM) (G2) 33- 40 F8.4 --- uPCM Linear limb darkening coefficient u (TESS PCM) (G2) 44- 49 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 51 A1 --- Type [qsr] PHOENIX type of model (G1) 53- 54 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table[45].dat table1[56].dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [2.5/6.0] Surface gravity 7- 12 F6.0 K Teff [1500/12000] Effective temperature 14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H]) 20- 22 F3.1 --- L/HP [2] Mixing-length parameter 24- 31 F8.4 --- aLSM Quadratic limb darkening coefficient a (TESS LSM) (G2) 34- 41 F8.4 --- bLSM Quadratic limb darkening coefficient b (TESS LSM) (G2) 44- 51 F8.4 --- aPCM Quadratic limb darkening coefficient a (TESS FCM) (G2) 54- 61 F8.4 --- bPCM Quadratic limb darkening coefficient b (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 74 A1 --- Type [qsr] PHOENIX type of model (G1) 76- 77 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table[67].dat table1[78].dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [2.5/60.] Surface gravity 7- 12 F6.0 K Teff [1500/12000] Effective temperature 14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H]) 20- 22 F3.1 --- L/HP [2] Mixing-length parameter 24- 31 F8.4 --- cLSM root-square limb darkening coefficient c (TESS LSM) (G2) 34- 41 F8.4 --- dLSM root-square limb darkening coefficient d (TESS LSM) (G2) 44- 51 F8.4 --- cPCM root-square limb darkening coefficient c (TESS FCM) (G2) 54- 61 F8.4 --- dPCM root-square limb darkening coefficient d (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 74 A1 --- Type [qsr] PHOENIX type of model (G1) 76- 77 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table[89].dat table19.dat table20.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [2.5/6.0] Surface gravity 7- 12 F6.0 K Teff [1500/12000] Effective temperature 14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H]) 20- 22 F3.1 --- L/HP [2] Mixing-length parameter 24- 31 F8.4 --- eLSM logarithmic limb darkening coefficient e (TESS LSM) (G2) 34- 41 F8.4 --- fLSM logarithmic limb darkening coefficient f (TESS LSM) (G2) 44- 51 F8.4 --- ePCM logarithmic limb darkening coefficient e (TESS FCM) (G2) 54- 61 F8.4 --- fPCM logarithmic limb darkening coefficient f (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 74 A1 --- Type [qsr] PHOENIX type of model (G1) 76- 77 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table1[012].dat table2[123].dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [2.5/6.0] Surface gravity 7- 12 F6.0 K Teff [1500/12000] Effective temperature 14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H]) 20- 22 F3.1 --- L/HP [2] Mixing-length parameter 23- 31 F9.4 --- a1LSM Equation 5 limb darkening coefficient a1 (TESS LSM) (G2) 33- 41 F9.4 --- a2LSM Equation 5 limb darkening coefficient a2 (TESS LSM) (G2) 44- 51 F8.4 --- a3LSM Equation 5 limb darkening coefficient a3 (TESS LSM) (G2) 54- 61 F8.4 --- a4LSM Equation 5 limb darkening coefficient a4 (TESS LSM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 74 A1 --- Type [qsr] PHOENIX type of model (G1) 76- 77 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table24.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0.0/6.0] Surface gravity 7- 12 F6.0 K Teff [2300/50000] Effective temperature 14- 17 F4.1 [Sun] Z [-5.0/1.0] Metallicity (log[M/H]) 19- 22 F4.1 km/s xi [0/8] Microturbulent velocity ξ 24- 31 F8.4 --- uLSM Linear limb darkening coefficient u (TESS LSM) (G2) 33- 40 F8.4 --- uCFM Linear limb darkening coefficient u (TESS CFM) (G2) 44- 49 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 51- 52 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table25.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0.0/5.0] Surface gravity 7- 12 F6.0 K Teff [3500/50000] Effective temperature 14- 17 F4.1 [Sun] Z [-5.0/1.0] Metallicity (log[M/H]) 20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ 24- 31 F8.4 --- aLSM Quadratic limb darkening coefficient a (TESS LSM) (G2) 34- 41 F8.4 --- bLSM Quadratic limb darkening coefficient b (TESS LSM) (G2) 44- 51 F8.4 --- aPCM Quadratic limb darkening coefficient a (TESS FCM) (G2) 54- 61 F8.4 --- bPCM Quadratic limb darkening coefficient b (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 73- 74 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table26.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0.0/5.0] Surface gravity 7- 12 F6.0 K Teff [3500/50000] Effective temperature 14- 17 F4.1 [Sun] Z [-5.0/1.0] Metallicity (log[M/H]) 20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ 24- 31 F8.4 --- cLSM root-square limb darkening coefficient c (TESS LSM) (G2) 34- 41 F8.4 --- dLSM root-square limb darkening coefficient d (TESS LSM) (G2) 44- 51 F8.4 --- cPCM root-square limb darkening coefficient c (TESS FCM) (G2) 54- 61 F8.4 --- dPCM root-square limb darkening coefficient d (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 73- 74 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table27.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0/5] Surface gravity 7- 12 F6.0 K Teff [3500/50000] Effective temperature 14- 17 F4.1 [Sun] Z [-5/1] Metallicity (log[M/H]) 20- 22 F3.1 --- xi [0/8] Microturbulent velocity ξ 24- 31 F8.4 --- eLSM logarithmic limb darkening coefficient e (TESS LSM) (G2) 34- 41 F8.4 --- fLSM logarithmic limb darkening coefficient f (TESS LSM) (G2) 44- 51 F8.4 --- ePCM logarithmic limb darkening coefficient e (TESS FCM) (G2) 54- 61 F8.4 --- fPCM logarithmic limb darkening coefficient f (TESS FCM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 73- 74 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table28.dat
Bytes Format Units Label Explanations
1- 5 F5.2 [cm/s2] logg [0/5] Surface gravity 7- 12 F6.0 K Teff [3500/50000] Effective temperature 14- 17 F4.1 [Sun] Z [-5/1] Metallicity (log[M/H]) 20- 22 F3.1 --- xi [0/8] Microturbulent velocity ξ 23- 31 F9.4 --- a1LSM Equation 5 limb darkening coefficient a1 (TESS LSM) (G2) 33- 41 F9.4 --- a2LSM Equation 5 limb darkening coefficient a2 (TESS LSM) (G2) 44- 51 F8.4 --- a3LSM Equation 5 limb darkening coefficient a3 (TESS LSM) (G2) 54- 61 F8.4 --- a4LSM Equation 5 limb darkening coefficient a4 (TESS LSM) (G2) 66- 71 F6.4 --- chi2 SQRT(CHI2Q) (TESS LSM) 73- 74 A2 --- Mod [PD PC A] Model name (G3)
Byte-by-byte Description of file: table29.dat
Bytes Format Units Label Explanations
2- 6 F5.2 [Sun] Z [-5/1] Metallicity (log[M/H]) 9- 13 F5.3 km/s xi [0/8] Microturbulent velocity 17- 20 F4.2 [cm/s2] logg [0/5] Surface gravity 23- 27 F5.3 [K] logTeff [3.5/5.0] Effective temperature 31- 37 F7.4 --- y GDC (TESS) 39- 40 A2 --- Mod [PD PC A] Model name (G3)
Global notes: Note (G1): PHOENIX models as follows: q = quasi-spherical r = r method s = spherical Note (G3): Models as follows: PD = PHOENIX-DRIFT PC = PHOENIX-COND A = ATLAS Note (G2): fitting coefficients: ------------------------------------------------------------------------- (1) Linear law I(µ)/I(1) = 1-u(1-µ) (2) Quadratic law I(µ)/I(1) = 1-a(1-µ)-b(1-µ)2 (3) Square root law I(µ)/I(1) = 1-c(1-µ)-d(1-sqrt(µ)) (4) Logarithmic law I(µ)/I(1) = 1-e(1-µ)-fµln(µ) (5) Exponential law I(µ)/I(1) = 1-g(1-µ)-h/[1-exp(µ)] (6) Non-linear law I(µ)/I(1) = 1 - a1*(1-µ0.5) - a2*(1-µ) - a3*(1-µ1.5) - a4*(1-µ2) ------------------------------------------------------------------------- where I(1) is the specific intensity at the center of the disk, u, a, b, c, d, e, f, ai are the corresponding limb-darkening coefficients and µ=cos(γ), γ being the angle between the line of sight and the emergent intensity
Acknowledgements: Antonio Claret, claret(at)iaa.es References: Claret & Hauschildt, 2003A&A...412..241C, The limb-darkening for spherically symmetric NextGen model atmospheres
(End) Patricia Vannier [CDS] 07-Dec-2016
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