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 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:
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FileName Lrecl Records Explanations
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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 51 9586 u linear LDCs, ATLAS models, all metallicities,
v.tu=0,1,2,4,8 km/s for TESS (LSM, PCM)
table25.dat 73 9586 a, b quadratic LDCs, ATLAS models, all
metallicities, v.tu=0,1,2,4,8 km/s for
TESS (LSM, PCM)
table26.dat 73 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 73 9586 e,f logarithmic LDCs, ATLAS models, all
metallicities, v.tu=0,1,2,4,8 km/s for
TESS (LSM, PCM)
table28.dat 73 9586 a1,a2,a3,a4 LDCs, ATLAS models, all
metallicities, v.tu=0,1,2,4,8 km/s for TESS (LSM)
table29.dat 39 9575 y GDCs, ATLAS models, all metallicities,
v.tu=0,1,2,4,8 km/s for TESS
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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
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Bytes Format Units Label Explanations
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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)
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Byte-by-byte Description of file: table[45].dat table1[56].dat
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Bytes Format Units Label Explanations
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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)
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Byte-by-byte Description of file: table[67].dat table1[78].dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
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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)
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Byte-by-byte Description of file: table[89].dat table19.dat table20.dat
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Bytes Format Units Label Explanations
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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)
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Byte-by-byte Description of file: table1[012].dat table2[123].dat
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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)
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Byte-by-byte Description of file: table24.dat
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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)
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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)
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Byte-by-byte Description of file: table26.dat
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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)
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Byte-by-byte Description of file: table27.dat
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Bytes Format Units Label Explanations
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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)
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Byte-by-byte Description of file: table28.dat
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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)
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Byte-by-byte Description of file: table29.dat
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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)
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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
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Acknowledgements:
Antonio Claret, claret(at)iaa.es
References:
Claret & Hauschildt, 2003A&A...412..241C 2003A&A...412..241C,
The limb-darkening for spherically symmetric NextGen model atmospheres
(End) Patricia Vannier [CDS] 07-Dec-2016