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<ri:Resource created="2022-09-30T06:57:23Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:cs="http://www.ivoa.net/xml/ConeSearch/v1.0" 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/ConeSearch/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/ConeSearch.xsd 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>Limb-darkening coefficients of 176 TESS exoplanets</title><shortName>J/AJ/163/228</shortName><identifier>ivo://CDS.VizieR/J/AJ/163/228</identifier><altIdentifier>doi:10.26093/cds/vizier.51630228</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Patel J.A.</name></creator><creator><name>Espinoza N.</name></creator><date role="Updated">2022-11-25T13:17:24Z</date><date role="Created">2022-09-30T06:57:23Z</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>exoplanets</subject><subject>visible-astronomy</subject><description>Although the main goal of the Transiting Exoplanet Survey Satellite (TESS) is to search for new transiting exoplanets, its data can also be used to study already-known systems in further detail. The TESS bandpass is particularly interesting to study the limb-darkening effect of the stellar host that is imprinted in transit light curves, as the widely used phoenix and atlas stellar models predict different limb-darkening profiles. Here we study this effect by fitting the transit light curves of 176 known exoplanetary systems observed by TESS, which allows us to extract empirical limb-darkening coefficients (LDCs) for the widely used quadratic law but also updated transit parameters (including ephemeride refinements) as a by-product. Comparing our empirically obtained LDCs with theoretical predictions, we find significant offsets when using tabulated TESS LDCs. Specifically, the u2 coefficients obtained using phoenix models show the largest discrepancies depending on the method used to derive them, with offsets that can reach up to {Delta}u2 ~0.2, on average. Most of those average offsets disappear, however, if one uses the SPAM algorithm introduced by Howarth to calculate the LDCs instead. Our results suggest, however, that for stars cooler than about 5000K, no methodology is good enough to explain the limb-darkening effect; we observe a sharp deviation between measured and predicted LDCs on both quadratic LDCs of order {Delta}u1, {Delta}u2 ~0.2 for those cool stars. We recommend caution when assuming LDCs as perfectly known, in particular for these cooler stars when analyzing TESS transit light curves.</description><source format="bibcode">2022AJ....163..228P</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/AJ/163/228</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>IsServedBy</relationshipType><relatedResource>Conesearch service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/363/1081">J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret 2000)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/709/159">J/ApJ/709/159 : Relative Ic photometry of WASP-17 (Anderson+, 2010)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/527/A8">J/A+A/527/A8 : Transiting planetary system WASP-7 (Southworth+, 2011)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/546/A14">J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer (Claret+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/539/A102">J/A+A/539/A102 : HD 209458 and HD 189733 theoretical spectra (Hayek+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/426/1291">J/MNRAS/426/1291 : Physical properties of 38 exoplanets (Southworth, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/436/2">J/MNRAS/436/2 : Transits of WASP-19b (Mancini+, 2013)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/428/3671">J/MNRAS/428/3671 : Transiting planet WASP-19b (Tregloan-Reed+, 2013)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/564/A125">J/A+A/564/A125 : AGN Torus model comparison of AGN in the CDFS (Buchner+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/152/127">J/AJ/152/127 : Sloan i follow-up light curves of HATS-18 (Penev+, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/602/A107">J/A+A/602/A107 : 231 transiting planets eccentricity and mass (Bonomo+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/600/A30">J/A+A/600/A30 : Limb-darkening for TESS satellite (Claret, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/465/3693">J/MNRAS/465/3693 : 7 WASP-South transiting exoplanets (Hellier+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/154/228">J/AJ/154/228 : Properties of transiting planet's host stars (Sandford+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/153/136">J/AJ/153/136 : Planets &amp; their host stars with Gaia plxs (Stassun+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/616/A39">J/A+A/616/A39 : Power-2 limb-darkening law from STAGGER-grid (Maxted, 2018)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/157/43">J/AJ/157/43 : WASP-161b, WASP-163b and WASP-170b (Barkaoui+, 2019)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/157/217">J/AJ/157/217 : Transit times of 5 hot Jupiter WASP exoplanets (Bouma+, 2019)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/635/A205">J/A+A/635/A205 : Ultra-hot Jupiter WASP-121b transits (Bourrier+, 2020)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/160/209">J/AJ/160/209 : K2 &amp; TESS Synergy. 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Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Name</name><description>Name of the host star</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="8*">char</dataType></column><column><name>u1-j</name><description>[0.13/1.35] u1 determined from juliet analysis</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-j-p</name><description>[0.01/0.54] upper band of 68% credibility</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-j-n</name><description>[0.01/0.83] lower band of 68% credibility</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-j</name><description>[-0.41/0.57] u2 determined from juliet analysis</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-j-p</name><description>[0.02/0.57] upper band of 68% credibility</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-j-n</name><description>[0.02/0.47] lower band of 68% credibility</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-code-ata</name><description>[0.14/0.54] u1 from EJ15 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-code-ata</name><description>[0.13/0.44] u2 from EJ15 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-code-pho</name><description>[0.12/0.5] u1 from EJ15 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-code-pho</name><description>[0.17/0.56] u2 from EJ15 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-ata</name><description>[0/0.51] u1 from C17 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-cla-ata</name><description>[0/0.4] u2 from C17 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-pho</name><description>[0.01/0.45] u1 from C17 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-cla-pho</name><description>[0.26/0.72] u2 from C17 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-pho-r</name><description>[0.11/0.49] u1 from C17 PHOENIX, with r-method</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-cla-pho-r</name><description>[0.18/0.58] u2 from C17 PHOENIX, with r-method</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/AJ/163/228/table5</name><description>SPAM limb darkening coefficients calculated using different methods for quadratic law</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>u2-cla-pho-r</name><description>[0.10/0.47] u2 from C17 PHOENIX, with r-method</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Name</name><description>Name of the host star</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="16*">char</dataType></column><column><name>u1-code-ata</name><description>[0.16/0.58] u1 from EJ15 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-code-ata</name><description>[0.06/0.47] u2 from EJ15 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-code-pho</name><description>[0.17/0.55] u1 from EJ15 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-code-pho</name><description>[0.09/0.47] u2 from EJ15 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-ata</name><description>[-0.09/0.55] u1 from C17 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-cla-ata</name><description>[-0.01/0.5] u2 from C17 ATLAS</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-pho</name><description>[0.16/0.54] u1 from C17 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u2-cla-pho</name><description>[0.11/0.47] u2 from C17 PHOENIX</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>u1-cla-pho-r</name><description>[0.16/0.54] u1 from C17 PHOENIX, with r-method</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/AJ/163/228/table6</name><description>Retrieved planetary parameters along with their literature values</description><column><name>SimbadName</name><description>Simbad column added by the CDS</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="14*">char</dataType><flag>nullable</flag></column><column><name>r_Rp/R*</name><description>Reference bibcode for literature value of Rp/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType" arraysize="21*">char</dataType></column><column><name>r_a/R*</name><description>Reference bibcode for literature value of a/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType" arraysize="21*">char</dataType></column><column><name>e_T0-lit</name><description>[0/0.19] 1-sigma errors on predicted transit time (1)</description><unit>d</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><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>Name</name><description>Name of the planet</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="9*">char</dataType></column><column><name>Rp/R*</name><description>[0.02/0.23] Rp/R* retrieved from this work</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Rp/R*-u</name><description>[0/0.03] Upper 68% credibility band on Rp/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Rp/R*-l</name><description>[0/0.03] Lower 68% credibility band on Rp/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a/R*</name><description>[3.42/39.6] a/R* retrieved from this work</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a/R*-u</name><description>[0.01/4.68] Upper 68% credibility band on a/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>T0-lit</name><description>[332/1254] Transit time (BJD-2458000) predicted from literature (1)</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a/R*-l</name><description>[0.01/7.84] Lower 68% credibility band on a/R*</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>T0</name><description>[332/1254] Transit time (BJD-2458000) from this work</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>T0-u</name><description>[0/0.06] Upper 68% credibility band on transit time</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>T0-l</name><description>[0/0.06] Lower 68% credibility band on transit time</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>rprst</name><description>[0/0.24] Literature value of Rp/R* (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>rprst-u</name><description>[0/0.1] Upper 68% credibility on Rp/R* from literature (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>rprst-l</name><description>[0/0.1] Lower 68% credibility on Rp/R* from literature (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>aste</name><description>[3.46/38.7] Literature value of a/R* (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>aste-u</name><description>[0/2.9] Upper 68% credibility band on literature value of a/R* (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>aste-l</name><description>[0/2.9] Lower 68% credibility band on literature value of a/R* (1)</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>r_T0</name><description>Reference bibcode for literature value of transit time</description><ucd>phys.size;arith.ratio</ucd><dataType xsi:type="vs:VOTableType" arraysize="21*">char</dataType></column><column><name>_RA</name><description>Position from SIMBAD (right ascension part)</description><unit>deg</unit><ucd>pos.eq.ra;meta.main</ucd></column><column><name>_DE</name><description>Position from SIMBAD (declination part)</description><unit>deg</unit><ucd>pos.eq.dec;meta.main</ucd></column></table></schema></tableset></ri:Resource>