J/A+A/428/1001 Non-linear limb-darkening law for LTE models. III. (Claret, 2004)
A new non-linear limb-darkening law for LTE stellar atmosphere models.
III. Sloan filters: Calculations for -5.0≤log[M/H]≤+1, 2000K≤Teff≤50000K at
several surface gravities.
Claret A.
<Astron. Astrophys. 428, 1001 (2004)>
=2004A&A...428.1001C 2004A&A...428.1001C
ADC_Keywords: Models, atmosphere ; Photometry, SDSS
Keywords: stars: atmospheres - stars: binaries: eclipsing -
stars: low mass, brown-dwarfs - stars: planetary systems
Abstract:
Continuing our studies on stellar atmospheres (Claret, 2000,
Cat. J/A+A/363/1081, 2003, Cat. J/A+A/401/657), we present in
this paper the limb-darkening coefficients for the Sloan photometric
system. The calculations cover a wide range of values of logg, Teff,
metallicities and microturbulent velocities. The atmosphere models
used are ATLAS and PHOENIX. In addition to the traditional
applications of the limb-darkening coefficients, the present ones
will be useful since the Sloan filters are now being used in the
interpretation of light curves of extrasolar transiting planets, for
example. The present calculations may also be useful, as a complement,
for the Kepler mission, dedicated to the search for terrestrial
planets.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2.dat 72 38352 *a1-a4 limb-darkening coefficients ATLAS models
table3.dat 72 9588 *u linear limb-darkening coefficients
ATLAS models
table4.dat 72 19176 *(a, b) quadratic limb-darkening coefficients
ATLAS models
table5.dat 72 19176 *(c, d) square root limb-darkening coefficients
ATLAS models
table6.dat 72 19176 *(e, f) logarithmic limb-darkening coefficients
ATLAS models
table7.dat 72 560 *a1-a4 limb-darkening coefficients
PHOENIX models
table8.dat 72 140 *u linear limb-darkening coefficients
PHOENIX models
table9.dat 72 280 *(a, b) quadratic limb-darkening coefficients
PHOENIX models
table10.dat 72 280 *(c, d) square root limb-darkening coefficients
PHOENIX models
table11.dat 72 280 *(e, f) logarithmic limb-darkening coefficients
PHOENIX models
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Note on table*.dat:
The coefficients of limb-darkening for Vega and the Sun are included
in tables 1-6.
The limb-darkening coefficients are defined by:
a1, a2, a3, a4 (non-linear):
I(µ)/I(1) = 1 -a1(1-µ0.5) -a2(1-µ) -a3(1-µ1.5)
-a4(1-µ2)
u (linear):
I(µ)/I(1) = 1 - u(1-µ)
a, b (quadratic):
I(µ)/I(1) = 1 - a(1-µ) - b(1-µ)2
c, d (square root):
I(µ)/I(1) = 1 - c(1-µ) - d(1-sqrt(µ))
e, f (logarithmic):
I(µ)/I(1) = 1 - e(1-µ) - f*µ*ln(µ)
where I(1) is the specific intensity at the center of the disk, u, a,
b, c, d, e, f are the corresponding limb-darkening coefficients and
µ=cos(γ), γ being the angle between the line of sight
and the emergent intensity
Summary of Limb-Darkening coefficients (table 1):
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FileName Source range Teff log g log [M/H] VT Kind of fitting
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table2.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 5, 5 filters
table3.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 1, 5 filters
table4.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 2, 5 filters
table5.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 3, 5 filters
table6.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 4, 5 filters
table7.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 5, 5 filters
table8.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 1, 5 filters
table9.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 2, 5 filters
table10.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 3, 5 filters
table11 .dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 4, 5 filters
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See also:
J/A+A/363/1081 : Non-linear limb-darkening law for LTE models I (Claret, 2000)
J/A+A/401/657 : Non-linear limb-darkening law for LTE models II (Claret, 2003)
J/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)
J/A+AS/114/247 : Limb-darkening coefficients for R I J H K (Claret+, 1995)
J/A+A/335/647 : Limb-darkening coefficients for ubvyUBVRIJHK (Claret 1998)
Byte-by-byte Description of file: table*.dat
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Bytes Format Units Label Explanations
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1- 2 A2 --- Coeff Limb-darkening coefficients
5- 7 F3.1 km/s VT Turbulent velocity
10- 14 F5.2 [cm/s+2] logg Surface gravity
16- 21 F6.0 K Teff Effective temperature
23- 27 F5.1 [Sun] log[M/H] log [metal/H]
30- 36 F7.4 --- u' Limb-darkening coefficient value in Sloan u'
39- 45 F7.4 --- g' Limb-darkening coefficient value in Sloan g'
48- 54 F7.4 --- r' Limb-darkening coefficient value in Sloan r'
57- 63 F7.4 --- i' Limb-darkening coefficient value in Sloan i'
66- 72 F7.4 --- z' Limb-darkening coefficient value in Sloan z'
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Acknowledgements: Antonio Claret Dos Santos, claret(at)iaa.es
References:
Claret & Hauschildt, 2003A&A...412..241C 2003A&A...412..241C
(End) Patricia Vannier [CDS] 11-Oct-2004