J/A+A/401/657 Non-linear limb-darkening law for LTE models. II. (Claret, 2003)
A new non-linear limb-darkening law for LTE stellar atmosphere models. II.
Geneva and Walraven systems: Calculations for -5.0≤log[M/H]≤+1,
2000K≤Teff≤50000K at several surface gravities.
Claret A.
<Astron. Astrophys. 401, 657 (2003)>
=2003A&A...401..657C 2003A&A...401..657C
ADC_Keywords: Models, atmosphere ; Photometry, Geneva ; Photometry, VBLUW
Keywords: stars: atmospheres - stars: binaries: eclipsing - stars: abundances
Abstract:
As an extension of our previous investigations on stellar atmospheres
(Claret, 2000, Cat. J/A+A/363/1081), the limb-darkening coefficients
for the Geneva and Walraven photometric systems are presented for the
first time using the ATLAS and PHOENIX models. They cover a wide range
of values of logg, Teff, metallicities and microturbulent
velocities. In addition to the traditional applications of
limb-darkening coefficients, the present ones are now being used in
the interpretation of phase shift of B and A-F type pulsating stars.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
atlas.dat 138 38204 a1-a4 limb-darkening coefficients ATLAS models (G1)
uatlas.dat 138 9551 u linear limb-darkening coefficients
ATLAS models (G1)
abatlas.dat 138 19102 (a, b) quadratic limb-darkening coefficients
ATLAS models (G1)
cdatlas.dat 138 19102 (c, d) square root limb-darkening coefficients
ATLAS models (G1)
efatlas.dat 138 19102 (e, f) logarithmic limb-darkening coefficients
ATLAS models (G1)
phoenix.dat 138 560 a1-a4 limb-darkening coefficients
PHOENIX models (G1)
uphoenix.dat 138 140 u linear limb-darkening coefficients
PHOENIX models (G1)
abphoeni.dat 138 280 (a, b) quadratic limb-darkening coefficients
PHOENIX models (G1)
cdphoeni.dat 138 280 (c, d) square root limb-darkening coefficients
PHOENIX models (G1)
efphoeni.dat 138 280 (e, f) logarithmic limb-darkening coefficients
PHOENIX models (G1)
sun.dat 138 11 All limb-darkening coefficients SUN (ATLAS) (G1)
vega.dat 138 11 All limb-darkening coefficients VEGA (ATLAS) (G1)
original/* . 131 Original tables
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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 coefficients for RIJHK (Claret+, 1995)
J/A+A/335/647 : Very low mass stars: non-linearity of the limb (Claret, 1998)
J/A+A/363/1081 : Non-linear limb-darkening law for LTE models. I. (Claret 2000)
Byte-by-byte Description of file: *.dat
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Bytes Format Units Label Explanations
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1- 2 A2 --- Coeff Limb-darkening coefficients (G1)
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 --- GU Limb-darkening coefficient value in Geneva U
39- 45 F7.4 --- GB1 Limb-darkening coefficient value in Geneva B1
48- 54 F7.4 --- GB Limb-darkening coefficient value in Geneva B
57- 63 F7.4 --- GB2 Limb-darkening coefficient value in Geneva B2
66- 72 F7.4 --- GV1 Limb-darkening coefficient value in Geneva V1
75- 81 F7.4 --- GV Limb-darkening coefficient value in Geneva V
84- 90 F7.4 --- GG Limb-darkening coefficient value in Geneva G
93- 99 F7.4 --- WW Limb-darkening coefficient value in Walraven W
102-108 F7.4 --- WU Limb-darkening coefficient value in Walraven U
112-118 F7.4 --- WL Limb-darkening coefficient value in Walraven L
122-128 F7.4 --- WB Limb-darkening coefficient value in Walraven B
132-138 F7.4 --- WV Limb-darkening coefficient value in Walraven V
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Global notes:
Note (G1): Limb-darkening coefficients:
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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atlas.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 5, 12 filters
uatlas.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 5, 12 filters
abatlas.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 2, 12 filters
cdatlas.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 3, 12 filters
efatlas.dat ATLAS 3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 4, 12 filters
phoenix.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 5, 12 filters
uphoenix.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 1, 12 filters
abphoenix.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 2, 12 filters
cdphoenix.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 3, 12 filters
efphoenix.dat PHOENIX 2000- 9800 3.5-5.0 0.0 2 Eq. 4, 12 filters
sun.dat SUN 5777 4.377 0.0 1.5 Eq. 1-5, 12 filters
vega.dat VEGA 9400 3.90 -0.5 0 Eq. 1-5, 12 filters
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Acknowledgements: Antonio Claret Dos Santos
(End) Patricia Bauer [CDS] 28-Mar-2003