J/other/RNAAS/5.13 CHEOPS limb and gravity-darkening coefficients (Claret, 2021)
Limb and gravity-darkening coefficients for the space mission CHEOPS.
Claret A.
<Research Notes of the AAS, 5, 13 (2021)>
=2021RNAAS...5...13C 2021RNAAS...5...13C (SIMBAD/NED BibCode)
ADC_Keywords: Models, atmosphere ; Photometry
Keywords: binaries: eclipsing - stars: atmospheres - stars: rotation -
stars: planetary systems
Abstract:
The goal of this Research Note is to provide the theoretical
calculations of the limb-darkening coefficients (LDC) and
gravity-darkening coefficients (GDC) for the space mission CHEOPS. We
use two stellar atmosphere models: ATLAS (plane-parallel) and PHOENIX
with spherical symmetry covering a wide range of effective
temperatures, local gravities, and hydrogen/metal. These grids cover
19 metallicities ranging from 10-5 up to 10+1 solar abundances,
0≤logg≤6.0 and 2300K≤Te≤50000K. The specific intensity
distribution was fitted using six approaches: linear, quadratic,
square root, logarithmic, power-2, and a series with four terms. The
calculations of the gravity darkening coefficient were performed for
both stellar atmosphere models adopting an improved formulation.
Description:
Gravity darkening coefficient (GDC) and the limb darkening coefficient
(LDC) u; a; b; c; d; e; f; g; h and ak as a function of the effective
temperature, logg, log[A/H] and V for the CHEOPS transmission.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 45 502 u linear limb darkening coefficients PHOENIX-COND
models v.tu=2.0 km/s for CHEOPS (LSM)
table2.dat 54 502 a,b quadratic limb darkening coefficients
PHOENIX-COND models, v.tu=2.0 km/s for CHEOPS (LSM)
table3.dat 54 502 c,d square-root limb darkening coefficients
PHOENIX-COND models v.tu=2 km/s for CHEOPS (LSM)
table4.dat 54 502 e,f logarithmic limb darkening coefficients
PHOENIX-COND models v.tu=2.0 km/s for CHEOPS (LSM)
table5.dat 57 502 g,h power-2 limb darkening coefficients PHOENIX-COND
models v.tu=2.0 km/s for CHEOPS (LSM)
table6.dat 82 502 a1,a2,a3,a4 limb darkening coefficients
PHOENIX-COND models v.tu=2.0 km/s for CHEOPS (LSM)
table7.dat 41 9586 u linear limb darkening coefficients ATLAS models,
all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table8.dat 51 9586 a,b quadratic limb darkening coefficients ATLAS
models, all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table9.dat 51 9586 c,d square-root limb darkening coefficients ATLAS
models, all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table10.dat 51 9586 e,f logarithmic limb darkening coefficients ATLAS
models, all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table11.dat 51 9586 g,h power-2 limb darkening coefficients ATLAS models,
all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table12.dat 71 9586 a1,a2,a3,a4 limb darkening coefficients ATLAS
models, all metallicities, v.tu=2,0,1,4,8 km/s for
CHEOPS (LSM)
table13.dat 43 490 y1,y2 gravity darkening coefficients PHOENIX-COND
models, v.tu=2.0 km/s for CHEOPS
table14.dat 48 9575 y1,y2 gravity darkening coefficients ATLAS models,
all metallicities, v.tu=2,0,1,4,8 km/s for CHEOPS
OriTab.tar 512 14020 Original tables
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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 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
21- 27 F7.5 --- u linear limb darkening coefficient (CHEOPS)
30- 36 F7.5 --- mu-cri µcri (CHEOPS)
39- 45 F7.5 --- chi2 chi2
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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 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
21- 27 F7.5 --- a quadrat limb darkening coefficient (CHEOPS)
30- 36 F7.5 --- b quadrat limb darkening coefficient (CHEOPS)
39- 45 F7.5 --- mu-cri µcri (CHEOPS)
48- 54 F7.5 --- chi2 chi2
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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 Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
20- 27 F8.5 --- c sqrt limb darkening coefficient (CHEOPS)
30- 36 F7.5 --- d sqrt limb darkening coefficient (CHEOPS)
39- 45 F7.5 --- mu-cri µcri (CHEOPS)
48- 54 F7.5 --- chi2 chi2
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Byte-by-byte Description of file: table4.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
21- 27 F7.5 --- e loga limb darkening coefficient (CHEOPS)
30- 36 F7.5 --- f loga limb darkening coefficient (CHEOPS)
39- 45 F7.5 --- mu-cri µcri (CHEOPS)
48- 54 F7.5 --- chi2 chi2
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Byte-by-byte Description of file: table5.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
19- 27 F9.5 --- g power-2 limb darkening coefficient (CHEOPS)
31- 37 F7.5 --- h power-2 limb darkening coefficient (CHEOPS)
41- 47 F7.5 --- mu-cri µcri (CHEOPS)
51- 57 F7.5 --- chi2 chi2
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Byte-by-byte Description of file: table6.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log10 [metal/H]
19- 27 F9.5 --- a1 4-terms limb darkening coefficient (CHEOPS)
30- 38 F9.5 --- a2 4-terms limb darkening coefficient (CHEOPS)
41- 49 F9.5 --- a3 4-terms limb darkening coefficient (CHEOPS)
52- 60 F9.5 --- a4 4-terms limb darkening coefficient (CHEOPS)
63- 71 F9.5 --- mu-cri µcri (CHEOPS)
74- 82 F9.5 --- chi2 chi2
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Byte-by-byte Description of file: table7.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- u linear limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table8.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- a quadrat limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- b quadrat limb darkening coefficient (CHEOPS)
44- 51 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table9.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- c sqrt limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- d sqrt limb darkening coefficient (CHEOPS)
44- 51 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table10.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- e loga limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- f loga limb darkening coefficient LDC (CHEOPS)
44- 51 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table11.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- g power-2 limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- h power-2 limb darkening coefficient (CHEOPS)
44- 51 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table12.dat
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Bytes Format Units Label Explanations
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1- 5 F5.2 [cm/s+2] logg Surface gravity
7- 12 F6.0 K Teff Effective temperature
14- 17 F4.1 [-] ZR log [metal/H]
19- 22 F4.1 km/s Vel microturbulent velocity
24- 31 F8.4 --- a1 4-terms limb darkening coefficient (CHEOPS)
34- 41 F8.4 --- a2 4-terms limb darkening coefficient(CHEOPS)
44- 51 F8.4 --- a3 4-terms limb darkening coefficient (CHEOPS)
54- 61 F8.4 --- a4 4-terms limb darkening coefficient (CHEOPS)
64- 71 F8.4 --- chi2 chi2
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Byte-by-byte Description of file: table13.dat
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Bytes Format Units Label Explanations
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2- 6 F5.2 [cm/s+2] logg Log10 Surface gravity
8- 15 F8.0 K Teff Effective temperature
17- 24 F8.4 --- ZR log10 [metal/H]
26- 33 F8.4 --- y1 gravity darkening coefficient (CHEOPS)
36- 43 F8.4 --- y2 gravity darkening coefficient (CHEOPS)
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Byte-by-byte Description of file: table14.dat
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Bytes Format Units Label Explanations
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2- 6 F5.2 --- ZR log10 [metal/H]
8- 13 F6.3 km/s Vel microturbulent velocity
16- 20 F5.2 [cm/s+2] logg log10 Surface gravity
22- 27 F6.3 [K] logTeff log10 Effective temperature
31- 37 F7.4 --- y1 gravity darkening coefficient (CHEOPS)
42- 48 F7.4 --- y2 gravity darkening coefficient (CHEOPS)
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Acknowledgements:
Antonio Claret, claret(at)iaa.es
(End) Patricia Vannier [CDS] 08-Jan-2021