J/A+A/554/A98 Limb-darkening coefficients for red giants (Neilson+, 2013)
Spherically-symmetric model stellar atmospheres and limb darkening.
I: Limb-darkening laws, gravity-darkening coefficients and angular diameter
corrections for red giant stars.
Neilson H.R., Lester J.B.
<Astron. Astrophys. 554, A98 (2013)>
=2013A&A...554A..98N 2013A&A...554A..98N
ADC_Keywords: Models, atmosphere ; Stars, late-type ; Stars, giant ;
Photometry, UBVRIJKLMNH
Keywords: stars: atmospheres - stars: late-type - stars: binaries: eclipsing -
stars: evolution - techniques: interferometric
Abstract:
Model stellar atmospheres are fundamental tools for understanding
stellar observations from interferometry, microlensing, eclipsing
binaries and planetary transits. However, the calculations also
include assumptions, such as the geometry of the model. We use
intensity profiles computed for both plane-parallel and spherically
symmetric model atmospheres to determine fitting coefficients in the
BVRIHK, CoRoT and Kepler wavebands for limb darkening using several
different fitting laws, for gravity-darkening and for interferometric
angular diameter corrections. Comparing predicted variables for each
geometry, we find that the spherically symmetric model geometry leads
to different predictions for surface gravities logg<3. In
particular, the most commonly used limb-darkening laws produce poor
fits to the intensity profiles of spherically symmetric model
atmospheres, which indicates the need for more sophisticated laws.
Angular diameter corrections for spherically symmetric models range
from 0.67 to 1, compared to the much smaller range from 0.95 to 1 for
plane-parallel models.
Description:
Limb-darkening coefficients, interferometric angular diameter
corrections and gravity-darkening coefficients from plane-parallel and
spherically-symmetric Atlas/SAtlas model stellar atmospheres for the
Johnson-Cousins BVRIHK, CoRoT and Kepler wavebands. The model
atmosphere parameters range from Teff=3000-8000K, logg=(-2)-(+3) and
M=0.5-20 solar masses. Computed intensity profiles are also included
for each model and waveband.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2.dat 92 5300 Spherical linear limb-darkening coefficients
table3.dat 164 5300 Spherical quadratic limb-darkening coefficients
table4.dat 164 5300 Spherical square-root limb-darkening coefficients
table5.dat 308 5300 Spherical 4-parameter limb-darkening coefficients
table6.dat 164 5300 Spherical exponential limb-darkening coefficients
table7.dat 164 5300 Spherical logarithmic limb-darkening coefficients
table8.dat 85 560 Planar linear limb-darkening coefficients
table9.dat 157 560 Planar quadratic limb-darkening coefficients
table10.dat 157 560 Planar square-root limb-darkening coefficients
table11.dat 301 560 Planar 4-parameter limb-darkening coefficients
table12.dat 157 560 Planar exponential limb-darkening coefficients
table13.dat 157 560 Planar logarithmic limb-darkening coefficients
table14.dat 332 5300 Spherical Gravity-darkening coefficients
table15.dat 325 560 Planar Gravity-darkening coefficients
table16.dat 92 5300 Spherical interferometric angular diameter
corrections
table17.dat 92 560 Planar interferometric angular diameter
corrections (M=0.0)
listsph.dat 54 5300 List of individual intensity profiles in
spherical subdirectory
listpla.dat 36 560 List of individual intensity profiles in
planar subdirectory
spheric/*.dat . 5300 *Individual intensity profiles for spherically
symmetric model atmosphere
planar/*.dat . 560 *Individual intensity profiles for
plane-parallel model atmosphere
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Note on spheric/*: File names as ldsatlassurface.2tNNNNgNNNmNNN, where
tNNNN is the effective temperature, gNNN the surface gravity is and
mNNN the mass.
Note on planar/*: File names as ldtNNNNgNNNsurface.dat, where
tNNNN is the effective temperature and gNNN the surface gravity
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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 R I J H K (Claret+, 1995)
J/A+A/363/1081 : LTE models non-linear limb-darkening law (Claret, 2000)
J/A+A/401/657 : LTE models non-linear limb-darkening law. II (Claret, 2003)
J/A+A/405/1095 : ATLAS9 models limb-darkening coefficients (Barban+, 2003)
J/A+A/428/1001 : LTE models non-linear limb-darkening law. III (Claret, 2004)
J/A+A/510/A21 : Stellar Limb-Darkening Coefficients (Sing, 2010)
J/MNRAS/413/1515 : New grids of Atlas9 models (Howarth, 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
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Bytes Format Units Label Explanations
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3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- u(B) B-band linear u coefficient (G1)
32- 38 F7.4 --- u(V) V-band linear u coefficient (G1)
41- 47 F7.4 --- u(R) R-band linear u coefficient (G1)
50- 56 F7.4 --- u(I) I-band linear u coefficient (G1)
59- 65 F7.4 --- u(H) H-band linear u coefficient (G1)
68- 74 F7.4 --- u(K) K-band linear u coefficient (G1)
77- 83 F7.4 --- u(CoR) CoRoT-band linear u coefficient (G1)
86- 92 F7.4 --- u(Kep) Kepler-band linear u coefficient (G1)
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Byte-by-byte Description of file: table3.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- a(B) B-band quadratic a coefficient (G2)
32- 38 F7.4 --- b(B) B-band quadratic b coefficient (G2)
41- 47 F7.4 --- a(V) V-band quadratic a coefficient (G2)
50- 56 F7.4 --- b(V) V-band quadratic b coefficient (G2)
59- 65 F7.4 --- a(R) R-band quadratic a coefficient (G2)
68- 74 F7.4 --- b(R) R-band quadratic b coefficient (G2)
77- 83 F7.4 --- a(I) I-band quadratic a coefficient (G2)
86- 92 F7.4 --- b(I) I-band quadratic b coefficient (G2)
95-101 F7.4 --- a(H) H-band quadratic a coefficient (G2)
104-110 F7.4 --- b(H) H-band quadratic b coefficient (G2)
113-119 F7.4 --- a(K) K-band quadratic a coefficient (G2)
122-128 F7.4 --- b(K) K-band quadratic b coefficient (G2)
131-137 F7.4 --- a(CoR) CoRoT-band quadratic a coefficient (G2)
140-146 F7.4 --- b(CoR) CoRoT-band quadratic b coefficient (G2)
149-155 F7.4 --- a(Kep) Kepler-band quadratic a coefficient (G2)
158-164 F7.4 --- b(Kep) Kelper-band quadratic b coefficient (G2)
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Byte-by-byte Description of file: table4.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- c(B) B-band square-root c coefficient (G3)
32- 38 F7.4 --- d(B) B-band square-root d coefficient (G3)
41- 47 F7.4 --- c(V) V-band square-root c coefficient (G3)
50- 56 F7.4 --- d(V) V-band square-root d coefficient (G3)
59- 65 F7.4 --- c(R) R-band square-root c coefficient (G3)
68- 74 F7.4 --- d(R) R-band square-root d coefficient (G3)
77- 83 F7.4 --- c(I) I-band square-root c coefficient (G3)
86- 92 F7.4 --- d(I) I-band square-root d coefficient (G3)
95-101 F7.4 --- c(H) H-band square-root c coefficient (G3)
104-110 F7.4 --- d(H) H-band square-root d coefficient (G3)
113-119 F7.4 --- c(K) K-band square-root c coefficient (G3)
122-128 F7.4 --- d(K) K-band square-root d coefficient (G3)
131-137 F7.4 --- c(CoR) CoRoT-band square-root c coefficient (G3)
140-146 F7.4 --- d(CoR) CoRoT-band square-root d coefficient (G3)
147-155 F9.4 --- c(Kep) Kepler-band square-root c coefficient (G3)
156-164 F9.4 --- d(Kep) Kepler-band square-root d coefficient (G3)
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Byte-by-byte Description of file: table5.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- f1(B) B-band four-parameter f1 coefficient (G4)
31- 38 F8.4 --- f2(B) B-band four-parameter f2 coefficient (G4)
40- 47 F8.4 --- f3(B) B-band four-parameter f3 coefficient (G4)
49- 56 F8.4 --- f4(B) B-band four-parameter f4 coefficient (G4)
59- 65 F7.4 --- f1(V) V-band four-parameter f1 coefficient (G4)
67- 74 F8.4 --- f2(V) V-band four-parameter f2 coefficient (G4)
76- 83 F8.4 --- f3(V) V-band four-parameter f3 coefficient (G4)
85- 92 F8.4 --- f4(V) V-band four-parameter f4 coefficient (G4)
95-101 F7.4 --- f1(R) R-band four-parameter f1 coefficient (G4)
103-110 F8.4 --- f2(R) R-band four-parameter f2 coefficient (G4)
112-119 F8.4 --- f3(R) R-band four-parameter f3 coefficient (G4)
121-128 F8.4 --- f4(R) R-band four-parameter f4 coefficient (G4)
131-137 F7.4 --- f1(I) I-band four-parameter f1 coefficient (G4)
139-146 F8.4 --- f2(I) I-band four-parameter f2 coefficient (G4)
148-155 F8.4 --- f3(I) I-band four-parameter f3 coefficient (G4)
157-164 F8.4 --- f4(I) I-band four-parameter f4 coefficient (G4)
167-173 F7.4 --- f1(H) H-band four-parameter f1 coefficient (G4)
175-182 F8.4 --- f2(H) H-band four-parameter f2 coefficient (G4)
184-191 F8.4 --- f3(H) H-band four-parameter f3 coefficient (G4)
193-200 F8.4 --- f4(H) H-band four-parameter f4 coefficient (G4)
202-209 F8.4 --- f1(K) K-band four-parameter f1 coefficient (G4)
211-218 F8.4 --- f2(K) K-band four-parameter f2 coefficient (G4)
220-227 F8.4 --- f3(K) K-band four-parameter f3 coefficient (G4)
229-236 F8.4 --- f4(K) K-band four-parameter f4 coefficient (G4)
239-245 F7.4 --- f1(CoR) CoRoT-band four-parameter f1 coefficient (G4)
247-254 F8.4 --- f2(CoR) CoRoT-band four-parameter f2 coefficient (G4)
256-263 F8.4 --- f3(CoR) CoRoT-band four-parameter f3 coefficient (G4)
265-272 F8.4 --- f4(CoR) CoRoT-band four-parameter f4 coefficient (G4)
275-281 F7.4 --- f1(Kep) Kepler-band four-parameter f1 coefficient (G4)
283-290 F8.4 --- f2(Kep) Kepler-band four-parameter f2 coefficient (G4)
292-299 F8.4 --- f3(Kep) Kepler-band four-parameter f3 coefficient (G4)
301-308 F8.4 --- f4(Kep) Kepler-band four-parameter f4 coefficient (G4)
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table6.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- g(B) B-band exponential g coefficient (G5)
32- 38 F7.4 --- h(B) B-band exponential h coefficient (G5)
41- 47 F7.4 --- g(V) V-band exponential g coefficient (G5)
50- 56 F7.4 --- h(V) V-band exponential h coefficient (G5)
59- 65 F7.4 --- g(R) R-band exponential g coefficient (G5)
68- 74 F7.4 --- h(R) R-band exponential h coefficient (G5)
77- 83 F7.4 --- g(I) I-band exponential g coefficient (G5)
86- 92 F7.4 --- h(I) I-band exponential h coefficient (G5)
95-101 F7.4 --- g(H) H-band exponential g coefficient (G5)
104-110 F7.4 --- h(H) H-band exponential h coefficient (G5)
113-119 F7.4 --- g(K) K-band exponential g coefficient (G5)
122-128 F7.4 --- h(K) K-band exponential h coefficient (G5)
131-137 F7.4 --- g(CoR) CoRoT-band exponential g coefficient (G5)
140-146 F7.4 --- h(CoR) CoRoT-band exponential h coefficient (G5)
149-155 F7.4 --- g(Kep) Kepler-band exponential g coefficient (G5)
158-164 F7.4 --- h(Kep) Kepler-band exponential h coefficient (G5)
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Byte-by-byte Description of file: table7.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-1/3] Model surface gravity
17- 20 F4.1 Msun M [0.5/20] Model mass
23- 29 F7.4 --- m(B) B-band logarithmic m coefficient (G6)
32- 38 F7.4 --- n(B) B-band logarithmic n coefficient (G6)
41- 47 F7.4 --- m(V) V-band logarithmic m coefficient (G6)
50- 56 F7.4 --- n(V) V-band logarithmic n coefficient (G6)
59- 65 F7.4 --- m(R) R-band logarithmic m coefficient (G6)
68- 74 F7.4 --- n(R) R-band logarithmic n coefficient (G6)
77- 83 F7.4 --- m(I) I-band logarithmic m coefficient (G6)
86- 92 F7.4 --- n(I) I-band logarithmic n coefficient (G6)
95-101 F7.4 --- m(H) H-band logarithmic m coefficient (G6)
104-110 F7.4 --- n(H) H-band logarithmic n coefficient (G6)
113-119 F7.4 --- m(K) K-band logarithmic m coefficient (G6)
122-128 F7.4 --- n(K) K-band logarithmic n coefficient (G6)
131-137 F7.4 --- m(CoR) CoRoT-band logarithmic m coefficient (G6)
140-146 F7.4 --- n(CoR) CoRoT-band logarithmic n coefficient (G6)
149-155 F7.4 --- m(Kep) Kepler-band logarithmic m coefficient (G6)
158-164 F7.4 --- n(Kep) Kepler-band logarithmic n coefficient (G6)
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Byte-by-byte Description of file: table8.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- u(B) B-band linear u coefficient (G1)
25- 31 F7.4 --- u(V) V-band linear u coefficient (G1)
34- 40 F7.4 --- u(R) R-band linear u coefficient (G1)
43- 49 F7.4 --- u(I) I-band linear u coefficient (G1)
52- 58 F7.4 --- u(H) H-band linear u coefficient (G1)
61- 67 F7.4 --- u(K) K-band linear u coefficient (G1)
70- 76 F7.4 --- u(CoR) CoRoT-band linear u coefficient (G1)
79- 85 F7.4 --- u(Kep) Kepler-band linear u coefficient (G1)
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Byte-by-byte Description of file: table9.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- a(B) B-band quadratic a coefficient (G2)
25- 31 F7.4 --- b(B) B-band quadratic b coefficient (G2)
34- 40 F7.4 --- a(V) V-band quadratic a coefficient (G2)
43- 49 F7.4 --- b(V) V-band quadratic b coefficient (G2)
52- 58 F7.4 --- a(R) R-band quadratic a coefficient (G2)
61- 67 F7.4 --- b(R) R-band quadratic b coefficient (G2)
70- 76 F7.4 --- a(I) I-band quadratic a coefficient (G2)
79- 85 F7.4 --- b(I) I-band quadratic b coefficient (G2)
88- 94 F7.4 --- a(H) H-band quadratic a coefficient (G2)
97-103 F7.4 --- b(H) H-band quadratic b coefficient (G2)
106-112 F7.4 --- a(K) K-band quadratic a coefficient (G2)
115-121 F7.4 --- b(K) K-band quadratic b coefficient (G2)
124-130 F7.4 --- a(CoR) CoRoT-band quadratic a coefficient (G2)
133-139 F7.4 --- b(CoR) CoRoT-band quadratic b coefficient (G2)
142-148 F7.4 --- a(Kep) Kepler-band quadratic a coefficient (G2)
151-157 F7.4 --- b(Kep) Kepler-band quadratic b coefficient (G2)
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Byte-by-byte Description of file: table10.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- c(B) B-band square-root c coefficient (G3)
25- 31 F7.4 --- d(B) B-band square-root d coefficient (G3)
34- 40 F7.4 --- c(V) V-band square-root c coefficient (G3)
43- 49 F7.4 --- d(V) V-band square-root d coefficient (G3)
52- 58 F7.4 --- c(R) R-band square-root c coefficient (G3)
61- 67 F7.4 --- d(R) R-band square-root d coefficient (G3)
70- 76 F7.4 --- c(I) I-band square-root c coefficient (G3)
79- 85 F7.4 --- d(I) I-band square-root d coefficient (G3)
88- 94 F7.4 --- c(H) H-band square-root c coefficient (G3)
97-103 F7.4 --- d(H) H-band square-root d coefficient (G3)
106-112 F7.4 --- c(K) K-band square-root c coefficient (G3)
115-121 F7.4 --- d(K) K-band square-root d coefficient (G3)
124-130 F7.4 --- c(CoR) CoRoT-band square-root c coefficient (G3)
133-139 F7.4 --- d(CoR) CoRoT-band square-root d coefficient (G3)
142-148 F7.4 --- c(Kep) Kepler-band square-root c coefficient (G3)
151-157 F7.4 --- d(Kep) Kepler-band square-root d coefficient (G3)
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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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3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- f1(B) B-band four-parameter f1 coefficient (G4)
25- 31 F7.4 --- f2(B) B-band four-parameter f2 coefficient (G4)
34- 40 F7.4 --- f3(B) B-band four-parameter f3 coefficient (G4)
43- 49 F7.4 --- f4(B) B-band four-parameter f4 coefficient (G4)
52- 58 F7.4 --- f1(V) V-band four-parameter f1 coefficient (G4)
61- 67 F7.4 --- f2(V) V-band four-parameter f2 coefficient (G4)
70- 76 F7.4 --- f3(V) V-band four-parameter f3 coefficient (G4)
79- 85 F7.4 --- f4(V) V-band four-parameter f4 coefficient (G4)
88- 94 F7.4 --- f1(R) K-band four-parameter f1 coefficient (G4)
97-103 F7.4 --- f2(R) K-band four-parameter f2 coefficient (G4)
106-112 F7.4 --- f3(R) K-band four-parameter f3 coefficient (G4)
115-121 F7.4 --- f4(R) K-band four-parameter f4 coefficient (G4)
124-130 F7.4 --- f1(I) I-band four-parameter f1 coefficient (G4)
133-139 F7.4 --- f2(I) I-band four-parameter f2 coefficient (G4)
142-148 F7.4 --- f3(I) I-band four-parameter f3 coefficient (G4)
151-157 F7.4 --- f4(I) I-band four-parameter f4 coefficient (G4)
160-166 F7.4 --- f1(H) H-band four-parameter f1 coefficient (G4)
169-175 F7.4 --- f2(H) H-band four-parameter f2 coefficient (G4)
178-184 F7.4 --- f3(H) H-band four-parameter f3 coefficient (G4)
187-193 F7.4 --- f4(H) H-band four-parameter f4 coefficient (G4)
196-202 F7.4 --- f1(K) K-band four-parameter f1 coefficient (G4)
205-211 F7.4 --- f2(K) K-band four-parameter f2 coefficient (G4)
214-220 F7.4 --- f3(K) K-band four-parameter f3 coefficient (G4)
223-229 F7.4 --- f4(k) K-band four-parameter f4 coefficient (G4)
232-238 F7.4 --- f1(CoR) CoRoT-band four-parameter f1 coefficient (G4)
241-247 F7.4 --- f2(CoR) CoRoT-band four-parameter f2 coefficient (G4)
250-256 F7.4 --- f3(CoR) CoRoT-band four-parameter f3 coefficient (G4)
259-265 F7.4 --- f4(CoR) CoRoT-band four-parameter f4 coefficient (G4)
268-274 F7.4 --- f1(Kep) Kepler-band four-parameter f1 coefficient (G4)
277-283 F7.4 --- f2(Kep) Kepler-band four-parameter f2 coefficient (G4)
286-292 F7.4 --- f3(Kep) Kepler-band four-parameter f3 coefficient (G4)
295-301 F7.4 --- f4(Kep) Kepler-band four-parameter f4 coefficient (G4)
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Byte-by-byte Description of file: table12.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- g(B) B-band exponential g coefficient (G5)
25- 31 F7.4 --- h(B) B-band exponential h coefficient (G5)
34- 40 F7.4 --- g(V) V-band exponential g coefficient (G5)
43- 49 F7.4 --- h(V) V-band exponential h coefficient (G5)
52- 58 F7.4 --- g(R) R-band exponential g coefficient (G5)
61- 67 F7.4 --- h(R) R-band exponential h coefficient (G5)
70- 76 F7.4 --- g(I) I-band exponential g coefficient (G5)
79- 85 F7.4 --- h(I) I-band exponential h coefficient (G5)
88- 94 F7.4 --- g(H) H-band exponential g coefficient (G5)
97-103 F7.4 --- h(H) H-band exponential h coefficient (G5)
106-112 F7.4 --- g(K) K-band exponential g coefficient (G5)
115-121 F7.4 --- h(K) K-band exponential h coefficient (G5)
124-130 F7.4 --- g(CoR) CoRoT-band exponential g coefficient (G5)
133-139 F7.4 --- h(CoR) CoRoT-band exponential h coefficient (G5)
142-148 F7.4 --- g(Kep) Kepler-band exponential g coefficient (G5)
151-157 F7.4 --- h(Kep) Kepler-band exponential h coefficient (G5)
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table13.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
16- 22 F7.4 --- m(B) B-band logarithmic m coefficient (G6)
25- 31 F7.4 --- n(B) B-band logarithmic n coefficient (G6)
34- 40 F7.4 --- m(V) V-band logarithmic m coefficient (G6)
43- 49 F7.4 --- n(V) V-band logarithmic n coefficient (G6)
52- 58 F7.4 --- m(R) R-band logarithmic m coefficient (G6)
61- 67 F7.4 --- n(R) R-band logarithmic n coefficient (G6)
70- 76 F7.4 --- m(I) I-band logarithmic m coefficient (G6)
79- 85 F7.4 --- n(I) I-band logarithmic n coefficient (G6)
88- 94 F7.4 --- m(H) H-band logarithmic m coefficient (G6)
97-103 F7.4 --- n(H) H-band logarithmic n coefficient (G6)
106-112 F7.4 --- m(K) K-band logarithmic m coefficient (G6)
115-121 F7.4 --- n(K) K-band logarithmic n coefficient (G6)
124-130 F7.4 --- m(CoR) CoRoT-band logarithmic m coefficient (G6)
133-139 F7.4 --- n(CoR) CoRoT-band logarithmic n coefficient (G6)
142-148 F7.4 --- m(Kep) Kepler-band logarithmic m coefficient (G6)
151-157 F7.4 --- n(Kep) Kepler-band logarithmic n coefficient (G6)
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table14.dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
7- 13 F7.2 [cm/s2] logg [-1/3] Model surface gravity
14- 20 F7.1 Msun M [0.5/20] Model mass
22- 34 E13.4 ---- IT(B) ?=- B-band derivative, d(lnI)/d(lnT)
35- 47 E13.4 ---- Ig(B) ?=- B-band derivative, d(lnI)/d(lng)
48- 60 E13.4 ---- y(B) ?=- Gravity-darkening coefficient
61- 73 E13.4 ---- IT(V) ?=- V-band derivative, d(lnI)/d(lnT)
74- 86 E13.4 ---- Ig(V) ?=- V-band derivative, d(lnI)/d(lng)
87- 99 E13.4 ---- y(V) ?=- Gravity-darkening coefficient
100-112 E13.4 ---- IT(R) ?=- R-band derivative, d(lnI)/d(lnT)
113-125 E13.4 ---- Ig(R) ?=- R-band derivative, d(lnI)/d(lng)
126-138 E13.4 ---- y(R) ?=- Gravity-darkening coefficient
139-151 E13.4 ---- IT(I) ?=- I-band derivative, d(lnI)/d(lnT)
152-164 E13.4 ---- Ig(I) ?=- I-band derivative, d(lnI)/d(lng)
165-177 E13.4 ---- y(I) ?=- Gravity-darkening coefficient
178-190 E13.4 ---- IT(H) ?=- H-band derivative, d(lnI)/d(lnT)
191-203 E13.4 ---- Ig(H) ?=- H-band derivative, d(lnI)/d(lng)
204-216 E13.4 ---- y(H) ?=- Gravity-darkening coefficient
217-229 E13.4 ---- IT(K) ?=- K-band derivative, d(lnI)/d(lnT)
230-242 E13.4 ---- Ig(K) ?=- K-band derivative, d(lnI)/d(lng)
243-255 E13.4 ---- y(K) ?=- Gravity-darkening coefficient
256-268 E13.4 ---- IT(CoR) ?=- CoRoT-band derivative, d(lnI)/d(lnT)
269-281 E13.4 ---- Ig(CoR) ?=- CoRoT-band derivative, d(lnI)/d(lng)
282-294 E13.4 ---- y(CoR) ?=- Gravity-darkening coefficient
295-307 E13.4 ---- IT(Kep) ?=- Kepler-band derivative, d(lnI)/d(lnT)
308-320 E13.4 ---- Ig(Kep) ?=- Kepler-band derivative, d(lnI)/d(lng)
321-332 E12.4 ---- y(Kep) ?=- Gravity-darkening coefficient
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table15.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
7- 13 F7.2 [cm/s2] logg [-2.25/3] Model surface gravity
14- 26 E13.4 ---- IT(B) B-band derivative, d(lnI)/d(lnT)
27- 39 E13.4 ---- Ig(B) B-band derivative, d(lnI)/d(lng)
40- 52 E13.4 ---- y(B) Gravity-darkening coefficient
53- 65 E13.4 ---- IT(V) V-band derivative, d(lnI)/d(lnT)
66- 78 E13.4 ---- Ig(V) V-band derivative, d(lnI)/d(lng)
79- 91 E13.4 ---- y(V) Gravity-darkening coefficient
92-104 E13.4 ---- IT(R) R-band derivative, d(lnI)/d(lnT)
105-117 E13.4 ---- Ig(R) R-band derivative, d(lnI)/d(lng)
118-130 E13.4 ---- y(R) Gravity-darkening coefficient
131-143 E13.4 ---- IT(I) I-band derivative, d(lnI)/d(lnT)
144-156 E13.4 ---- Ig(I) I-band derivative, d(lnI)/d(lng)
157-169 E13.4 ---- y(I) Gravity-darkening coefficient
170-182 E13.4 ---- IT(H) H-band derivative, d(lnI)/d(lnT)
183-195 E13.4 ---- Ig(H) H-band derivative, d(lnI)/d(lng)
196-208 E13.4 ---- y(H) Gravity-darkening coefficient
209-221 E13.4 ---- IT(K) K-band derivative, d(lnI)/d(lnT)
222-234 E13.4 ---- Ig(K) K-band derivative, d(lnI)/d(lng)
235-247 E13.4 ---- y(K) Gravity-darkening coefficient
248-260 E13.4 ---- IT(CoR) CoRoT-band derivative, d(lnI)/d(lnT)
261-273 E13.4 ---- Ig(CoR) CoRoT-band derivative, d(lnI)/d(lng)
274-286 E13.4 ---- y(CoR) Gravity-darkening coefficient
287-299 E13.4 ---- IT(Kep) Kepler-band derivative, d(lnI)/d(lnT)
300-312 E13.4 ---- Ig(Kep) Kepler-band derivative, d(lnI)/d(lng)
313-325 E13.4 ---- y(Kep) Gravity-darkening coefficient
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table1[67].dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
3- 6 I4 K Teff [3000/8000] Model effective temperature
9- 13 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
17- 20 F4.1 Msun M [0/20] Model mass
24- 29 F6.4 ---- kLD(B) B-band interferometric angular diameter
correction
33- 38 F6.4 ---- kLD(V) V-band interferometric angular diameter
correction
42- 47 F6.4 ---- kLD(R) R-band interferometric angular diameter
correction
51- 56 F6.4 ---- kLD(I) I-band interferometric angular diameter
correction
60- 65 F6.4 ---- kLD(H) H-band interferometric angular diameter
correction
69- 74 F6.4 ---- kLD(K) K-band interferometric angular diameter
correction
78- 83 F6.4 ---- kLD(CoR) CoRoT-band interferometric angular diameter
correction
87- 92 F6.4 ---- kLD(Kep) Kepler-band interferometric angular diameter
correction
--------------------------------------------------------------------------------
Byte-by-byte Description of file: listsph.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 4 I4 K Teff [3000/8000] Model effective temperature
6- 10 F5.2 [cm/s2] logg [-1/3] Model surface gravity
13- 16 F4.1 Msun M [0.5/20] Model mass
18- 54 A37 --- FileName Name of the file in subdirectory spheric
--------------------------------------------------------------------------------
Byte-by-byte Description of file: listpla.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 4 I4 K Teff [3000/8000] Model effective temperature
6- 10 F5.2 [cm/s2] logg [-2.25/3] Model surface gravity
12- 36 A25 --- FileName Name of the file in subdirectory planar
--------------------------------------------------------------------------------
Byte-by-byte Description of file: spheric/*.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 15 E15.7 ---- mu [0/1] µ=cos(θ), where θ is the
angle between the direction to the distant
observer and the normal direction at each
location on the stellar surface
16- 30 E15.7 ---- IB(mu) B-band normalized intensity
31- 45 E15.7 ---- IV(mu) V-band normalized intensity
46- 60 E15.7 ---- IR(mu) R-band normalized intensity
61- 75 E15.7 ---- II(mu) I-band normalized intensity
76- 90 E15.7 ---- IH(mu) H-band normalized intensity
91-105 E15.7 ---- IK(mu) K-band normalized intensity
106-120 E15.7 ---- ICoR(mu) ? CoRoT-band normalized intensity
121-135 E15.7 ---- IKep(mu) ? Kepler-band normalized intensity
--------------------------------------------------------------------------------
Byte-by-byte Description of file: planar/*.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 20 E20.10 ---- mu [0/1] µ=cos(θ), where θ is the
angle between the direction to the distant
observer and the normal direction at each
location on the stellar surface
21- 40 E20.10 ---- IB(mu) B-band normalized intensity
41- 60 E20.10 ---- IV(mu) V-band normalized intensity
61- 80 E20.10 ---- IR(mu) R-band normalized intensity
81-100 E20.10 ---- II(mu) I-band normalized intensity
101-120 E20.10 ---- IH(mu) H-band normalized intensity
121-140 E20.10 ---- IK(mu) K-band normalized intensity
141-160 E20.10 ---- ICoR(mu) CoRoT-band normalized intensity
161-180 E20.10 ---- IKep(mu) Kepler-bandnormalized intensity
--------------------------------------------------------------------------------
Golbal Notes:
Note (G1): in the linear model:
I(µ)/I(1) = 1 - u(1-µ)
Note (G2): in the quadratic model:
I(µ)/I(1) = 1 - a(1-µ) - b(1-µ)2
Note (G3): in the square-root model:
I(µ)/I(1) = 1 - c(1-µ) - d(1-sqrt(µ))
Note (G4): in the four-parameter model:
I(µ)/I(1) = 1 - f1(1-µ1/2) - f2(1-µ)
- f3(1-µ3/2) - f4(1-µ2)
Note (G5): in the exponential model:
I(µ)/I(1) = 1 - g(1-µ) - h/(1-exp(µ))
Note (G6): in the logarithmic model:
I(µ)/I(1) = 1 - m(1-µ) - mµlnµ
Acknowledgements:
Hilding Neilson, neilsonh(at)etsu.edu
(End) Patricia Vannier [CDS] 06-May-2013