J/A+A/664/A128 Power-2 limb-darkening coefficients (Claret+, 2022)
Power-2 limb-darkening coefficients for the uvby, UBVRIJHK, SDSS ugriz,
Gaia, Kepler and TESS photometric systems.
I. ATLAS stellar atmosphere models.
Claret A., Southworth J.
<Astron. Astrophys. 664, A128 (2022)>
=2022A&A...664A.128C 2022A&A...664A.128C (SIMBAD/NED BibCode)
ADC_Keywords: Models, atmosphere ; Photometry, SDSS ; Photometry, UBVRI
Keywords: binaries: close - binaries: eclipsing - planetary systems -
stars: atmospheres
Abstract:
Limb darkening is an important stellar phenomenon, and must be
accounted for in the study of stellar spectra, eclipsing binaries,
transiting planetary systems, and microlensing events. The power-2
limb-darkening law provides a good match to the specific intensities
predicted by stellar atmosphere models: better than other
two-parameter laws and only surpassed by the four-parameter law.
Predictions of the limb-darkening coefficients for the power-2 law are
not widely available. We therefore compute them, using stellar
atmosphere models generated by the ATLAS (plane-parallel) code.
Limb-darkening coefficients were computed for the space missions Gaia,
Kepler and TESS as well as for the photometric systems uvby, UBVRIJHK
and SDSS ugriz.
The calculations were performed by adopting the Levenberg-Marquardt
least-squares minimization method and were computed with a resolution
of 100 equally-spaced viewing angles. We used 9586 model atmospheres
covering 19 metallicities, effective temperatures of 3500 to 50000K,
log g values from 0.0 to 5.0, and microturbulent velocities of 0, 1,
2, 4 and 8 km/s. We confirm the superiority of the power-2 law, in
terms of the quality of the fits, over other two-parameter laws. This
is particularly relevant for the quadratic law, which is widely used.
We recommend the use of the power-2 law in cases where a two-parameter
law is needed.
Description:
Table 1 contains the LDCs and χ2 values for the Gaia, Kepler,
and TESS passbands, Table 2 contains this information for the SDSS
ugriz bands, and Table 3 contains this information for the uvby and
UBVRIJHK bands. The LDCs for the CHEOPS mission, computed using the
ATLAS and PHOENIX models, can be found in Claret (2021RNAAS...5...13C 2021RNAAS...5...13C,
Cat. J/other/RNAAS/5.13).
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 161 9586 g,h Power-2 ATLAS models Gaia, Kepler, TESS
table2.dat 155 9586 g,h Power-2 ATLAS models SDSS Sloan ugriz
table3.dat 344 9586 g,h Power-2 ATLAS models uvbyUBVRIJHK
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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)
J/A+A/552/A16 : Limb-darkening for CoRoT, Kepler, Spitzer. II (Claret+, 2013)
J/A+A/567/A3 : Limb-darkening coefficients for MOST (Claret+, 2014)
J/A+A/600/A30 : Limb-darkening for TESS satellite (Claret, 2017)
J/A+A/634/A93 : Limb-darkening coefficients for compact stars (Claret+, 2020)
J/A+A/641/A157 : Limb-darkening coefficients for white dwarfs (Claret+, 2020)
J/other/RNAAS/5.13 : CHEOPS limb and gravity-darkening coefficients
(Claret, 2021)
Byte-by-byte Description of file: table1.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Log10 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 --- Z log10 [M/H]
19- 22 F4.1 km/s Vel Microturbulent velocity
25- 31 F7.4 --- gBP Power-2 limb darkening coefficient g (Gaia GBP)
34- 40 F7.4 --- gG Power-2 limb darkening coefficient g (Gaia G)
43- 49 F7.4 --- gRP Power-2 limb darkening coefficient g (Gaia GRP)
52- 58 F7.4 --- gK Power-2 limb darkening coefficient g (KEPLER)
63- 69 F7.4 --- gT Power-2 limb darkening coefficient g (TESS)
71- 77 F7.4 --- hBP Power-2 limb darkening coefficient h (Gaia GBP)
80- 86 F7.4 --- hG Power-2 limb darkening coefficient h (Gaia G)
89- 95 F7.4 --- hRP Power-2 limb darkening coefficient h (Gaia GRP)
98-104 F7.4 --- hK Power-2 limb darkening coefficient h (KEPLER)
109-115 F7.4 --- hT Power-2 limb darkening coefficient h (TESS)
117-123 F7.4 --- chi2BP chi2 of exponential LDC (Gaia GBP)
126-132 F7.4 --- chi2G chi2 of exponential LDC (Gaia G)
135-141 F7.4 --- chi2RP chi2 of exponential LDC (Gaia GRP)
144-150 F7.4 --- chi2K chi2 of exponential LDC (KEPLER)
155-161 F7.4 --- chi2T chi2 of exponential LDC (TESS)
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Byte-by-byte Description of file: table2.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Log10 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 --- Z log10 [M/H]
19- 22 F4.1 km/s Vel Microturbulent velocity
25- 31 F7.4 --- gu Power-2 limb darkening coefficient g (SDSS u)
34- 40 F7.4 --- gg Power-2 limb darkening coefficient g (SDSS g)
43- 49 F7.4 --- gr Power-2 limb darkening coefficient g (SDSS r)
52- 58 F7.4 --- gi Power-2 limb darkening coefficient g (SDSS i)
61- 67 F7.4 --- gz Power-2 limb darkening coefficient g (SDSS z)
69- 75 F7.4 --- hu Power-2 limb darkening coefficient h (SDSS u)
78- 84 F7.4 --- hg Power-2 limb darkening coefficient h (SDSS g)
87- 93 F7.4 --- hr Power-2 limb darkening coefficient h (SDSS r)
96-102 F7.4 --- hi Power-2 limb darkening coefficient h (SDSS i)
105-111 F7.4 --- hz Power-2 limb darkening coefficient h (SDSS z)
113-119 F7.4 --- chi2u chi2 of exponential LDC (SDSS u)
122-128 F7.4 --- chi2g chi2 of exponential LDC (SDSS g)
131-137 F7.4 --- chi2r chi2 of exponential LDC (SDSS r)
140-146 F7.4 --- chi2i chi2 of exponential LDC (SDSS i)
149-155 F7.4 --- chi2z chi2 of exponential LDC (SDSS z)
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Byte-by-byte Description of file: table3.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Log10 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 --- Z log10 [M/H]
19- 22 F4.1 km/s Vel Microturbulent velocity
25- 31 F7.4 --- gu Power-2 limb darkening coefficient g (u)
34- 40 F7.4 --- gv Power-2 limb darkening coefficient g (v)
43- 49 F7.4 --- gb Power-2 limb darkening coefficient g (b)
52- 58 F7.4 --- gy Power-2 limb darkening coefficient g (y)
61- 67 F7.4 --- gU Power-2 limb darkening coefficient g (U)
70- 76 F7.4 --- gB Power-2 limb darkening coefficient g (B)
79- 85 F7.4 --- gV Power-2 limb darkening coefficient g (V)
88- 94 F7.4 --- gR Power-2 limb darkening coefficient g (R)
97-103 F7.4 --- gI Power-2 limb darkening coefficient g (I)
106-112 F7.4 --- gJ Power-2 limb darkening coefficient g (J)
114-121 F8.4 --- gH Power-2 limb darkening coefficient g (H)
123-130 F8.4 --- gK Power-2 limb darkening coefficient g (K)
132-138 F7.4 --- hu Power-2 limb darkening coefficient h (u)
141-147 F7.4 --- hv Power-2 limb darkening coefficient h (v)
150-156 F7.4 --- hb Power-2 limb darkening coefficient h (b)
159-165 F7.4 --- hy Power-2 limb darkening coefficient h (y)
168-174 F7.4 --- hU Power-2 limb darkening coefficient h (U)
177-183 F7.4 --- hB Power-2 limb darkening coefficient h (B)
186-192 F7.4 --- hV Power-2 limb darkening coefficient h (V)
195-201 F7.4 --- hR Power-2 limb darkening coefficient h (R)
204-210 F7.4 --- hI Power-2 limb darkening coefficient h (I)
213-219 F7.4 --- hJ Power-2 limb darkening coefficient h (J)
222-228 F7.4 --- hH Power-2 limb darkening coefficient h (H)
231-237 F7.4 --- h Power-2 limb darkening coefficient h (K)
239-245 F7.4 --- chi2u chi2 of exponential LDC (u)
248-254 F7.4 --- chi2v chi2 of exponential LDC (v)
257-263 F7.4 --- chi2b chi2 of exponential LDC (b)
266-272 F7.4 --- chi2y chi2 of exponential LDC (y)
275-281 F7.4 --- chi2U chi2 of exponential LDC (U)
284-290 F7.4 --- chi2B chi2 of exponential LDC (B)
293-299 F7.4 --- chi2V chi2 of exponential LDC (V)
302-308 F7.4 --- chi2R chi2 of exponential LDC (R)
311-317 F7.4 --- chi2I chi2 of exponential LDC (I)
320-326 F7.4 --- chi2J chi2 of exponential LDC (J)
329-335 F7.4 --- chi2H chi2 of exponential LDC (H)
338-344 F7.4 --- chi2K chi2 of exponential LDC (K)
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Acknowledgements:
Antonio Claret, claret(at)iaa.es
(End) Patricia Vannier [CDS] 11-Jun-2022