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J/A+AS/135/555  Illuminated atmospheres limb-darkening coeff. 1. (Alencar+ 1999)

Limb-darkening coefficients of illuminated atmospheres 1. Results for illuminated line-blanketed models with 3700K < Teff < 7000K Alencar S.H.P., Vaz L.P.R. <Astron. Astrophys. Suppl. Ser. 135, 555 (1999)> =1999A&AS..135..555A (SIMBAD/NED BibCode)
ADC_Keywords: Models, evolutionary Keywords: stars: fundamental parameters - stars: atmospheres - binaries: close; eclipsing Description: In Table 1 we present the bolometric and monochromatic limb-darkening coefficients for 196 different combinations of the parameters: T_eff (illuminated model's effective temperature), F_rel (relative incident flux, defined in Sect. 2.1), nu (the cosine of the incidence angle relative to the atmosphere normal), T_h (the effective temperature of the illuminating flux). We present coefficients for the linear, quadratic, cubic, logarithmic, and square root laws, together with the quality factor Q (see Sect. 2.2) of the fitting. In Table 2 we present the passband-specific limb-darkening coefficients. We present the coefficients for the Stroemgren uvby filters and for the Johnson-Morgan UBVRI filters. B2 and B3 are the response function of the B filter with and without the earth's atmosphere transmission function, respectively (see Buser R. 1998A&A....62..411B) In Table 3 we give the polynomial coefficients (Eqs. 8-11) for the Stroemgren uvby filters and for the Johnson-Morgan UBVRI filters and the five limb-darkening laws analysed. Structure of file table1.dat: ------------------------------------------------------------------------------ Records Format Explanations ------------------------------------------------------------------------------ Blocks of model. 1 A80 Model number and parameters (in model.dat file) 3- 6 A80 Self explanatory header 7 A80 Bolometric linear coefficients 9- 376 A80 Law coefficients 378-73891 A80 Repeating the above for the 195 models ------------------------------------------------------------------------------ Line 7 Format: -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 10 A10 --- bolometric comment 12- 18 F7.3 --- xLin coefficient of the linear law 19- 20 A2 --- ( space character and opening parenthesis 21- 26 F6.4 --- QLin quality factor of the linear law 27- 28 A2 --- ) closing parenthesis and space character 29- 36 F8.3 --- xQua linear coefficient of the quadratic law 37- 44 F8.3 --- yQua non-linear coefficients of the quadratic law 45- 46 A2 --- ( space character and opening parenthesis 47- 52 F6.4 --- QQua quality factor of the quadratic law 53- 54 A2 --- ) closing parenthesis and space character 55- 62 F8.3 --- xCub linear coefficient of the cubic law 63- 70 F8.3 --- yCub non-linear coefficients of the cubic law 71- 72 A2 --- ( space character and opening parenthesis 73- 78 F6.4 --- QCub quality factor of the cubic law 79- 80 A2 --- ) closing parenthesis and space character 81- 88 F8.3 --- xLog linear coefficient of the logarithmic law 89- 96 F8.3 --- yLog non-linear coefficients of the logarithmic law 97- 98 A2 --- ( space character and opening parenthesis 99-104 F6.4 --- QLog quality factor of the logarithmic law 105-106 A2 --- ) closing parenthesis and space character 107-114 F8.3 --- xSqu linear coefficient of the square root law 115-122 F8.3 --- ySqu non-linear coefficients of the square root law 123-124 A2 --- ( space character and opening parenthesis 125-130 F6.4 --- QSqu quality factor of the square root law 131-131 A1 --- ) closing parenthesis -------------------------------------------------------------------------------- Line 9-376 Format: -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 10 F10.2 nm lambda Wavelength 12- 18 F7.3 --- xLin Coefficient of the linear law 19- 20 A2 --- ( Space character and opening parenthesis 21- 26 F6.4 --- QLin Quality factor of the linear law 27- 28 A2 --- ) Closing parenthesis and space character 29- 36 F8.3 --- xQua Linear coefficient of the quadratic law 37- 44 F8.3 --- yQua Non-linear coefficients of the quadratic law 45- 46 A2 --- ( Space character and opening parenthesis 47- 52 F6.4 --- QQua Quality factor of the quadratic law 53- 54 A2 --- ) Closing parenthesis and space character 55- 62 F8.3 --- xCub Linear coefficient of the cubic law 63- 70 F8.3 --- yCub Non-linear coefficients of the cubic law 71- 72 A2 --- ( Space character and opening parenthesis 73- 78 F6.4 --- QCub Quality factor of the cubic law 79- 80 A2 --- ) Closing parenthesis and space character 81- 88 F8.3 --- xLog Linear coefficient of the logarithmic law 89- 96 F8.3 --- yLog Non-linear coefficients of the logarithmic law 97- 98 A2 --- ( Space character and opening parenthesis 99-104 F6.4 --- QLog Quality factor of the logarithmic law 105-106 A2 --- ) Closing parenthesis and space character 107-114 F8.3 --- xSqu Linear coefficient of the square root law 115-122 F8.3 --- ySqu Non-linear coefficients of the square root law 123-124 A2 --- ( Space character and opening parenthesis 125-130 F6.4 --- QSqu Quality factor of the square root law 131-131 A1 --- ) Closing parenthesis 132-143 E12.3 mW/m2/sr/nm I(l,mu=1) Central monochromatic intensity Structure of file table2.dat: ------------------------------------------------------------------------------ Records Format Explanations ------------------------------------------------------------------------------ Blocks of model. 1 A80 Model number and parameters (in model.dat file) 3- 5 A80 Self explanatory 6- 15 A80 Law coefficients 17- 3136 A80 Repeating the above for the 195 models ------------------------------------------------------------------------------ Line 6-15 Format: -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 2- 3 A2 --- filter [uvbyUB2 B3VRI] passband identification 9- 16 F7.3 --- xLin coefficient of the linear law 17- 18 A2 --- ( space character and opening parenthesis 19- 24 F6.4 --- QLin quality factor of the linear law 25- 26 A2 --- ) closing parenthesis and space character 27- 34 F8.3 --- xQua linear coefficient of the quadratic law 35- 42 F8.3 --- yQua non-linear coefficients of the quadratic law 43- 44 A2 --- ( space character and opening parenthesis 45- 50 F6.4 --- QQua quality factor of the quadratic law 51- 52 A2 --- ) closing parenthesis and space character 53- 60 F8.3 --- xCub linear coefficient of the cubic law 61- 68 F8.3 --- yCub non-linear coefficients of the cubic law 69- 70 A2 --- ( space character and opening parenthesis 71- 76 F6.4 --- QCub quality factor of the cubic law 77- 78 A2 --- ) closing parenthesis and space character 79- 86 F8.3 --- xLog linear coefficient of the logarithmic law 87- 94 F8.3 --- yLog non-linear coefficients of the logarithmic law 95- 96 A2 --- ( space character and opening parenthesis 97-102 F6.4 --- QLog quality factor of the logarithmic law 103-104 A2 --- ) closing parenthesis and space character 105-112 F8.3 --- xSqu linear coefficient of the square root law 113-120 F8.3 --- ySqu non-linear coefficients of the square root law 121-122 A2 --- ( space character and opening parenthesis 123-128 F6.4 --- QSqu quality factor of the square root law 129-129 A1 --- ) closing parenthesis Structure of file table3.dat: ------------------------------------------------------------------------------ Records Format Explanations ------------------------------------------------------------------------------ 1 A10 Filter (u, v, b, y, U, B2, B3, V, R, I) Line 2-30: 4 blocks of 7 records each for linear law polynomial coefficients (Eq, 8) ------------------------------------------------------- 2 A10 Law (linear) 3 A2 [a0] Coeff ------------------------------------------------------- 4- 5 A100 Parameters identification 6- 9 A100 Data ------------------------------------------------------- 10- 16 A100 Repeating lines 3-9 for a1 coefficient 17- 23 A100 Repeating lines 3-9 for a2 coefficient 23- 30 A100 Repeating lines 3-9 for a3 coefficient ------------------------------------------------------- 31 A10 Non-linear law (quadratic, cubic, logarithmic, square root) ------------------------------------------------------- 32 A2 [a0] Coeff ------------------------------------------------------- 33- 34 A100 Parameters identification 35- 42 A100 Data ------------------------------------------------------- 43- 53 A100 Repeating lines 32-42 for a1 coefficient 54- 64 A100 Repeating lines 32-42 for a2 coefficient 65- 75 A100 Repeating lines 32-42 for a3 coefficient ------------------------------------------------------- 76- 120 A100 Repeating lines 31-75 for another law 121- 165 A100 Repeating lines 31-75 for another law 166- 210 A100 Repeating lines 31-75 for another law ------------------------------------------------------- 211- 2100 A100 Repeating lines 1-210 for another filter Line 2-30 format: 4 blocks of 7 records each for linear law polynomial coefficients (Eq, 8). Each block of 7 records has the structure: Line 6-9 Format (for linear law): -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 7 A7 comm. coeff. ident. of the polynomial coefficient (Eq. 11) 8- 18 G11.4 number coeff. polynomial coefficient dn000 19- 29 G11.4 number coeff. polynomial coefficient dn001 30- 40 G11.4 number coeff. polynomial coefficient dn002 41- 51 G11.4 number coeff. polynomial coefficient dn100 52- 62 G11.4 number coeff. polynomial coefficient dn101 63- 73 G11.4 number coeff. polynomial coefficient dn102 74- 84 G11.4 number coeff. polynomial coefficient dn200 85- 95 G11.4 number coeff. polynomial coefficient dn201 96-106 G11.4 number coeff. polynomial coefficient dn202 107-117 G11.4 number coeff. polynomial coefficient dn300 118-128 G11.4 number coeff. polynomial coefficient dn301 129-199 G11.4 number coeff. polynomial coefficient dn302 -------------------------------------------------------------------------------- ............END OF DESCRIPTION OF BLOCK OF 4 RECORDS FOR LINEAR LAW............. ........BEGIN OF DESCRIPTION OF BLOCK OF 8 RECORDS FOR NON-LINEAR LAW.......... Line 35-42 Format: (non-linear laws) -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 7 A7 comm. coeff. ident. of the polynomial coefficient (Eq. 11) 8- 18 G11.4 number coeff. polynomial coefficient dn0l0 19- 29 G11.4 number coeff. polynomial coefficient dn0l1 30- 40 G11.4 number coeff. polynomial coefficient dn0l2 41- 51 G11.4 number coeff. polynomial coefficient dn1l0 52- 62 G11.4 number coeff. polynomial coefficient dn1l1 63- 73 G11.4 number coeff. polynomial coefficient dn1l2 74- 84 G11.4 number coeff. polynomial coefficient dn2l0 85- 95 G11.4 number coeff. polynomial coefficient dn2l1 96-106 G11.4 number coeff. polynomial coefficient dn2l2 107-117 G11.4 number coeff. polynomial coefficient dn3l0 118-128 G11.4 number coeff. polynomial coefficient dn3l1 129-199 G11.4 number coeff. polynomial coefficient dn3l2 -------------------------------------------------------------------------------- ..........END OF DESCRIPTION OF BLOCK OF 8 RECORDS FOR NON-LINEAR LAW.......... File Summary:
FileName Lrecl Records Explanations
ReadMe 80 . This file model.dat 28 196 Model parameters table1.dat 150 73892 Bolometric and monochromatic linear and non-linear limb-darkening coefficients table2.dat 129 3136 Passband-specific linear and non-linear limb-darkening coefficients table3.dat 139 2100 Polynomial adjusted coefficients for the same passbands of Table 2 and 5 limb-darkening laws
See also: J/A+A/335/647 : Limb-darkening coefficients for ubvyUBVRIJHK (Claret 1998) 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/AJ/106/2096 : Limb-darkening coefficients in binaries (Van Hamme 1993) Byte-by-byte Description of file: model.dat
Bytes Format Units Label Explanations
1- 3 I3 --- N Model number 5- 8 I4 K Teff Effective temperature of the original model to be illuminated 10- 14 F5.3 --- Frel Relative incident flux 16- 22 F7.5 --- nu Cosine of the incident angle relative to the surface normal 24- 28 I5 K Th Effective temperature of the illuminating flux
Acknowledgements: Luiz Paulo Ribeiro Vaz
(End) Patricia Bauer [CDS] 27-Nov-1998
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