J/A+A/552/A16 Limb-darkening for CoRoT, Kepler, Spitzer. II. (Claret+, 2013)
New limb-darkening coefficients for PHOENIX/1D model atmospheres.
II. Calculations for 5000K ≤ Teff ≤ 10000K Kepler, CoRot, Spitzer, uvby,
UBVRIJHK, Sloan, and 2MASS photometric systems.
Claret, A., Hauschildt, P.H., Witte, S.
<Astron. Astrophys. 552, A16 (2013)>
=2013A&A...552A..16C 2013A&A...552A..16C
ADC_Keywords: Models, atmosphere ; Photometry, infrared ; Photometry, SDSS ;
Photometry, uvby ; Photometry, UBVRI
Keywords: stars: atmospheres - binaries: eclipsing - planetary systems
Abstract:
We present an extension of our investigations on limb-darkening
coefficients computed with spherical symmetrical PHOENIX models. The
models investigated in this paper cover the range 5000K≤Teff≤10000K
and complete our previous studies of low effective temperatures
computed with the same code.
The limb-darkening coefficients are computed for the transmission
curves of the Kepler, CoRoT, and Spitzer space missions and the
Stroemgren, Johnson-Cousins, Sloan, and 2MASS passbands. These
computations were performed by adopting the least-squares method.
We have used six laws to describe the specific intensity distribution:
linear, quadratic, square root, logarithmic, exponential, and a
general law with four terms. The computations are presented for the
solar chemical composition and cover the range 3.0≤logg≤5.5. The
adopted microturbulent velocity and the mixing-length parameter are
2.0km/s and 2.0.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
tableu.dat 39 11232 u linear limb darkening coefficients,
quasi-spherical PHOENIX models
mu.dat 41 5616 Merit function for u linear limb darkening
coefficients
tableab.dat 48 11232 a, b quadratic limb darkening coefficients,
quasi-spherical PHOENIX models
mab.dat 41 5616 Merit function for a, b quadratic limb darkening
coefficients
tablecd.dat 48 11232 c, d root-square limb darkening coefficients,
quasi-spherical PHOENIX models
mcd.dat 41 5616 Merit function for c, d root-square limb
darkening coefficients
tableef.dat 48 11232 e, f logarithmic limb darkening coefficients,
quasi-spherical PHOENIX models
mef.dat 41 5616 Merit function for e, f logarithmic limb
darkening coefficients
tablegh.dat 48 5616 g, h exponential limb darkening coefficients,
quasi-spherical PHOENIX models
mgh.dat 41 5616 Merit function for g, h logarithmic limb
darkening coefficients,
quasi-spherical PHOENIX models
tableghs.dat 47 5616 g, h exponential limb darkening coefficients,
spherical PHOENIX models
mghs.dat 40 5616 Merit function for g, h logarithmic limb
darkening coefficients, spherical PHOENIX models
tablee6.dat 75 5616 a1, a2, a3, a4 limb darkening coefficients,
from equation 6, quasi-spherical PHOENIX models
meq6.dat 41 5616 Merit function for a1, a2, a3, a4 limb darkening
coefficients, from equation 6, quasi-spherical
PHOENIX models
tablee6s.dat 74 5616 a1, a2, a3, a4 limb darkening coefficients
from equation 6, spherical PHOENIX models
meq6s.dat 40 5616 Merit function for a1, a2, a3, a4 limb darkening
coefficients, from equation 6, spherical
PHOENIX models
ori/* . 26 Original files
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See also:
J/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)
J/A+AS/114/247 : Limb-darkening coeff. for RIJHK (Claret+, 1995)
J/A+A/335/647 : Limb-darkening coeff. for ubvyUBVRIJHK (Claret 1998)
J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000)
J/A+A/405/1095 : Limb-darkening coeff. from ATLAS9 models (Barban+, 2003)
J/A+A/510/A21 : Stellar limb-darkening coeff. (Sing, 2010)
J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011)
J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer. I. (Claret+, 2012)
Byte-by-byte Description of file: tableu.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
24- 31 F8.4 --- u Linear limb darkening coefficient u (G2)
33- 34 A2 --- Filt Filter (G1)
36 A1 --- Met [LF] Method (Least-Square or Flux Conservation)
38- 39 A2 --- Mod [qs] quasi-spherical PHOENIX model
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Byte-by-byte Description of file: tableab.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
24- 31 F8.4 --- a Quadratic limb darkening coefficient a (G2)
33- 40 F8.4 --- b Quadratic limb darkening coefficient b (G2)
42- 43 A2 --- Filt Filter (G1)
45 A1 --- Met [LF] Method (Least-Square or Flux Conservation)
47- 48 A2 --- Mod [qs] quasi-spherical PHOENIX model
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Byte-by-byte Description of file: tablecd.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
24- 31 F8.4 --- c Root-square limb darkening coefficient c (G2)
33- 40 F8.4 --- d Root-square limb darkening coefficient d (G2)
42- 43 A2 --- Filt Filter (G1)
45 A1 --- Met [LF] Method (Least-Square or Flux Conservation)
47- 48 A2 --- Mod [qs] quasi-spherical PHOENIX model
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Byte-by-byte Description of file: tableef.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
24- 31 F8.4 --- e Logarithmic limb darkening coefficient e (G2)
33- 40 F8.4 --- f Logarithmic limb darkening coefficient f (G2)
42- 43 A2 --- Filt Filter (G1)
45 A1 --- Met [LF] Method (Least-Square or Flux Conservation)
47- 48 A2 --- Mod [qs] quasi-spherical PHOENIX model
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Byte-by-byte Description of file: tablegh.dat tableghs.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
24- 31 F8.4 --- g Exponential limb darkening coefficient g (G2)
33- 40 F8.4 --- h Exponential limb darkening coefficient h (G2)
42- 43 A2 --- Filt Filter (G1)
45 A1 --- Met [L] Method (Least-Square)
47- 48 A2 --- Mod [qs s] quasi-spherical/spherical PHOENIX model
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Byte-by-byte Description of file: tablee6.dat tablee6s.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
25- 34 F10.5 --- a1 Equation 6 limb darkening coefficient a1 (G2)
36- 45 F10.5 --- a2 Equation 6 limb darkening coefficient a2 (G2)
47- 56 F10.5 --- a3 Equation 6 limb darkening coefficient a3 (G2)
58- 67 F10.5 --- a4 Equation 6 limb darkening coefficient a4 (G2)
69- 70 A2 --- Filt Filter (G1)
72 A1 --- Met [L] Method (Least-Square)
74- 75 A2 --- Mod [qs s] quasi-spherical/spherical PHOENIX model
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Byte-by-byte Description of file: m*.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 cm/s2 logg [2.5/5.5] Surface gravity
7- 12 F6.0 K Teff [5000/10000] Effective temperature
14- 17 F4.1 [Sun] Z [0] Metallicity (log[M/H])
19- 22 F4.1 km/s xi [2] Microturbulent velocity ξ
25- 33 F9.5 --- m merit function
35- 36 A2 --- Filt Filter (G1)
38 A1 --- Met [m] m for merit function
40- 41 A2 --- Mod [qs s] quasi-spherical/spherical PHOENIX model
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Global notes:
Note (G1): Phorometry system used:
Kp = Kepler
C = CoRoT
S1 = Spitzer filter 1, 3.6um
S2 = Spitzer filter 2, 4.5um
S3 = Spitzer filter 3, 5.8um
S4 = Spitzer filter 4, 8.0um
uvby = Stroemgren uvby filters
UBVRIJHK = Johnson-Cousins UBVRIJHK filters
u'g'r'i'z' = SDSS u'g'r'i'z' filters
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,
Limb-darkening for spherically symmetric NextGen model atmospheres
(End) Patricia Vannier [CDS] 25-Feb-2013