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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
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:
FileName Lrecl Records Explanations
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 48 5616 g, h exponential limb darkening coefficients, spherical PHOENIX models mghs.dat 41 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 75 5616 a1, a2, a3, a4 limb darkening coefficients from equation 6, spherical PHOENIX models meq6s.dat 41 5616 Merit function for a1, a2, a3, a4 limb darkening coefficients, from equation 6, spherical PHOENIX models ori/* 0 26 Original files
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
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: tableab.dat
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: tablecd.dat
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: tableef.dat
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: tablegh.dat tableghs.dat
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: tablee6.dat tablee6s.dat
Bytes Format Units Label Explanations
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
Byte-by-byte Description of file: m*.dat
Bytes Format Units Label Explanations
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
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
Acknowledgements: Antonio Claret, claret(at)iaa.es References: Claret & Hauschildt, 2003A&A...412..241C, Limb-darkening for spherically symmetric NextGen model atmospheres
(End) Patricia Vannier [CDS] 25-Feb-2013
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