J/A+A/567/A3 Limb-darkening coefficients for MOST (Claret+, 2014)
Theoretical gravity and limb-darkening coefficients for the MOST satellite
photometric system.
Claret A., Dragomir D., Matthews J.M.
<Astron. Astrophys. 567, A3 (2014)>
=2014A&A...567A...3C 2014A&A...567A...3C
ADC_Keywords: Models, atmosphere ; Photometry, infrared ; Photometry, SDSS ;
Photometry, uvby ; Photometry, UBVRI
Keywords: binaries: eclipsing - planetary systems - binaries: close -
stars: atmospheres - stars: evolution
Abstract:
We present new calculations of limb and gravity-darkening coefficients
to be used as input in many fields of stellar physics such as
synthetic light curves of double-lined eclipsing binaries and
planetary transits, studies of stellar diameters or line profiles in
rotating stars.
We compute the limb-darkening coefficients specifically for the
photometric system of the satellite MOST (Microvariability and
Oscillations in STars). All computations were performed by adopting
the least-square method, but for completeness we also performed
calculations for the linear and bi-parametric approaches by adopting
the flux conservation method. The passband gravity-darkening
coefficients y(λ) were computed by adopting a more general
differential equation, which also takes the effects of convection into
account.
We used two stellar atmosphere models: ATLAS (plane-parallel) and
PHOENIX (spherical and quasi-spherical). We adopted six laws to
describe the specific intensity distribution: linear, quadratic,
square root, logarithmic, exponential, and a more general one with
four terms. The covered ranges of Teff, log g, metallicities,
and microturbulent velocities are [1500-50000K, 0-5.5,-5.0-1.0,
0-8km/s], respectively.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2.dat 41 211 u linear LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,1500K-4800K)
table3.dat 61 211 a,b quadratic LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,1500K-4800K)
table4.dat 61 211 c,d square-root LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,1500K-4800K)
table5.dat 61 211 e,f logarithmic LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,1500K-4800K)
table6.dat 41 211 g,h exponential LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,1500K-4800K)
table7.dat 61 211 a1,a2,a3,a4 LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,1500K-4800K)
table8.dat 41 211 g,h exponential LDCs, spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,1500K-4800K)
table9.dat 61 211 a1,a2,a3,a4 LDCs, spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,1500K-4800K)
table10.dat 41 216 u linear LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,5000K-10000K)
table11.dat 61 216 LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,5000K-10000K)
table12.dat 61 216 c,d square-root LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,5000K-10000K)
table13.dat 61 216 e,f logarithmic LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM and FCM,5000K-10000K)
table14.dat 41 216 g,h exponential LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,5000K-10000K)
table15.dat 62 216 a1,a2,a3,a4 LDCs, quasi-spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,5000K-10000K)
table16.dat 41 216 g,h exponential LDCs, spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,5000K-10000K)
table17.dat 62 216 a1,a2,a3,a4 LDCs, spherical PHOENIX models,
solar metallicity, ξ=2 km/s
for MOST (LSM,5000K-10000K)
table18.dat 41 9586 u linear LDCs ATLAS models, all metallicities,
ξ=2,0,1,4,8 km/s for MOST (LSM, FCM)
table19.dat 61 9586 a, b quadratic LDCs ATLAS models, all metallicities,
ξ=2,0,1,4,8 km/s for MOST (LSM, FCM)
table20.dat 61 9586 c,d square-root LDCs ATLAS models, all metallicities,
ξ=2,0,1,4,8 km/s for MOST (LSM, FCM)
table21.dat 61 9586 e,f logarithmic LDCs ATLAS models, all metallicities,
ξ=2,0,1,4,8 km/s for MOST (LSM, FCM)
table22.dat 61 9586 a1,a2,a3,a4 LDCs ATLAS models, all metallicities,
ξ=2,0,1,4,8 km/s for MOST (LSM)
table23.dat 32 8616 y gravity-darkening coefficient (GDCs) ATLAS models,
all metallicities, ξ=2,0,1,4,8 km/s for MOST
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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 coefficients for ubvyUBVRIJHK (Claret 1998)
J/A+A/363/1081 : LTE models non-linear limb-darkening law. I. (Claret, 2000)
J/A+A/401/657 : LTE models non-linear limb-darkening law. II. (Claret, 2003)
J/A+A/428/1001 : LTE models non-linear limb-darkening law. III. (Claret, 2005)
J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011)
J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer (Claret+, 2012)
J/A+A/552/A16 : Limb-darkening for CoRoT, Kepler, Spitzer. II. (Claret+, 2013)
Byte-by-byte Description of file: table2.dat table10.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
26- 31 F6.4 --- uL linear LDC (MOST LSM) (G1)
36- 41 F6.4 --- uF linear LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table3.dat table11.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
25- 31 F7.4 --- aL a quadratic LDC (MOST LSM) (G1)
35- 41 F7.4 --- bL b quadratic LDC (MOST LSM) (G1)
45- 51 F7.4 --- aF a quadratic LDC (MOST FCM) (G1)
55- 61 F7.4 --- bF b quadratic LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table4.dat table12.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s2] logg Surface gravity
7- 12 F6.0 K Teff [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
25- 31 F7.4 --- cL c root-square LDC (MOST LSM) (G1)
35- 41 F7.4 --- dL d root-square LDC (MOST LSM) (G1)
45- 51 F7.4 --- cF c root-square LDC (MOST FCM) (G1)
55- 61 F7.4 --- dF d root-square LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table5.dat table13.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
25- 31 F7.4 --- eL e logarithmic LDC (MOST LSM) (G1)
35- 41 F7.4 --- fL f logarithmic LDC (MOST LSM) (G1)
45- 51 F7.4 --- eF e logarithmic LDC (MOST FCM) (G1)
55- 61 F7.4 --- fF f logarithmic LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table6.dat table14.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
25- 31 F7.4 --- g g exponential LDC in PHOENIX quasi-spherical
model (MOST LSM) (G1)
35- 41 F7.4 --- h h exponential LDC in PHOENIX quasi-spherical
model (MOST LSM) (G1)
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Byte-by-byte Description of file: table8.dat table16.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
25- 31 F7.4 --- gS g exponential LDC in PHOENIX spherical model
(MOST LSM) (G1)
35- 41 F7.4 --- hS h exponential LDC in PHOENIX spherical model
(MOST LSM) (G1)
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Byte-by-byte Description of file: table7.dat table15.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
24- 32 F9.5 --- a1 a1 LDC in PHOENIX quasi-spherical model (G1)
34- 42 F9.5 --- a2 a2 LDC in PHOENIX quasi-spherical model (G1)
44- 52 F9.5 --- a3 a3 LDC in PHOENIX quasi-spherical model (G1)
54- 62 F9.5 --- a4 a4 LDC in PHOENIX quasi-spherical model (G1)
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Byte-by-byte Description of file: table9.dat table17.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 [1500/10000] Effective temperature
14- 17 F4.1 [Sun] logZ [0] Metallicity (log[M/H])
20- 22 F3.1 --- L/HP [2] Mixing-length parameter
24- 32 F9.5 --- a1S a1 LDC in PHOENIX spherical model (G1)
34- 42 F9.5 --- a2S a2 LDC in PHOENIX spherical model (G1)
44- 52 F9.5 --- a3S a3 LDC in PHOENIX spherical model (G1)
54- 62 F9.5 --- a4S a4 LDC in PHOENIX spherical model (G1)
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Byte-by-byte Description of file: table18.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] logZ [-5/1] Metallicity (log[M/H])
20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ
26- 31 F6.4 --- uL linear LDC (MOST, LSM) (G1)
36- 41 F6.4 --- uF linear LDC (MOST, FSM) (G1)
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Byte-by-byte Description of file: table19.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] logZ [-5/1] Metallicity (log[M/H])
20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ
25- 31 F7.4 --- aL a quadratic LDC (MOST LSM) (G1)
35- 41 F7.4 --- bL b quadratic LDC (MOST LSM) (G1)
45- 51 F7.4 --- aF a quadratic LDC (MOST FCM) (G1)
55- 61 F7.4 --- bF b quadratic LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table20.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] logZ [-5/1] Metallicity (log[M/H])
20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ
25- 31 F7.4 --- cL c root-square LDC (MOST LSM) (G1)
35- 41 F7.4 --- dL d root-square LDC (MOST LSM) (G1)
45- 51 F7.4 --- cF c root-square LDC (MOST FCM) (G1)
55- 61 F7.4 --- dF d root-square LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table21.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] logZ [-5/1] Metallicity (log[M/H])
20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ
25- 31 F7.4 --- eL e logarithmic LDC (MOST LSM) (G1)
35- 41 F7.4 --- fL f logarithmic LDC (MOST LSM) (G1)
45- 51 F7.4 --- eF e logarithmic LDC (MOST FCM) (G1)
55- 61 F7.4 --- fF f logarithmic LDC (MOST FCM) (G1)
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Byte-by-byte Description of file: table22.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] logZ [-5/1] Metallicity (log[M/H])
20- 22 F3.1 km/s xi [0/8] Microturbulent velocity ξ
25- 31 F7.4 --- a1 a1 LDC (MOST LSM) (G1)
35- 41 F7.4 --- a2 a2 LDC (MOST LSM) (G1)
45- 51 F7.4 --- a3 a3 LDC (MOST LSM) (G1)
55- 61 F7.4 --- a4 a4 LDC (MOST LSM) (G1)
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Byte-by-byte Description of file: table23.dat
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Bytes Format Units Label Explanations
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1- 4 F4.1 [Sun] logZ [-5/1] Metallicity (log[M/H])
6- 9 F4.1 km/s xi [2/8] microturbulent velocity ξ
13- 15 F3.1 [cm/s2] logg [0/5] Surface gravity
18- 22 F5.3 [K] logTe [3.5/4.7] log Effective temperature
26- 32 F7.4 --- y Gravity-darkening coefficient (MOST)
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Global notes:
Note (G1): Limb-Darkenbing Coefficients with Least-Square Method (LSM)
or Flux Conservation Method (FCM), follow the definitions:
-------------------------------------------------------------------------
(1) Linear I(µ)/I(1) = 1-u(1-µ)
(2) Quadratic I(µ)/I(1) = 1-a(1-µ)-b(1-µ)2
(3) Square root I(µ)/I(1) = 1-c(1-µ)-d(1-sqrt(µ))
(4) Logarithmic I(µ)/I(1) = 1-e(1-µ)-fµln(µ)
(5) 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: A-G main-sequence and sub-giant stars.
(End) Patricia Vannier [CDS] 02-Jun-2014