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<ri:Resource created="1999-03-17T08:11:51Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>Illuminated atmospheres limb-darkening coeff. 1.</title><shortName>J/A+AS/135/555</shortName><identifier>ivo://CDS.VizieR/J/A+AS/135/555</identifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Alencar S.H.P.</name></creator><creator><name>Vaz L.P.R.</name></creator><date role="Updated">1999-03-17T07:21:44Z</date><date role="Created">1999-03-17T08:11:51Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>stellar-evolutionary-models</subject><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&amp;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.......... --------------------------------------------------------------------------------</description><source format="bibcode">1999A&amp;AS..135..555A</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+AS/135/555</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/335/647">J/A+A/335/647 : Limb-darkening coefficients for ubvyUBVRIJHK (Claret 1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+AS/110/329">J/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+AS/114/247">J/A+AS/114/247 : Limb-darkening coefficients for R I J H K (Claret+, 1995)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/106/2096">J/AJ/106/2096 : Limb-darkening coefficients in binaries (Van Hamme 1993)</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+AS/135/555</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+AS/135/555</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+AS/135/555</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+AS/135/555</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+AS/135/555</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+AS/135/555</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/A+AS/135/555/model</name><description>Model parameters</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>N</name><description>Model number</description><ucd>meta.id;stat.fit</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Teff</name><description>Effective temperature of the original model to be illuminated</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Frel</name><description>Relative incident flux</description><ucd>phot.flux;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>nu</name><description>Cosine of the incident angle relative to the surface normal</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Th</name><description>Effective temperature of the illuminating flux</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column></table></schema></tableset></ri:Resource>