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<ri:Resource created="2002-03-26T08:33:25Z" 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>Empirical relations for cluster RR Lyrae</title><shortName>J/A+A/371/579</shortName><identifier>ivo://CDS.VizieR/J/A+A/371/579</identifier><altIdentifier>doi:10.26093/cds/vizier.33710579</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Kovacs G.</name></creator><creator><name>Walker A.R.</name></creator><date role="Updated">2017-06-26T11:50:23Z</date><date role="Created">2002-03-26T08:33:25Z</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>photometry</subject><subject>horizontal-branch-stars</subject><subject>variable-stars</subject><subject>surveys</subject><description>Our former study on the empirical relations between the Fourier parameters of the light curves of the fundamental mode RR Lyrae stars and their basic stellar parameters has been extended to considerably larger data sets. The most significant contribution to the absolute magnitude M_V_ comes from the period P and from the first Fourier amplitude A_1_, but there are statistically significant contributions also from additional higher order components, most importantly from A_3_ and in a lesser degree from the Fourier phase phi_51_. When different colors are combined in reddening-free quantities, we obtain basically period-luminosity-color relations. From the standard deviations of the various regressions, an upper limit can be obtained on the overall inhomogeneity of the reddening in the individual clusters. This yields {sigma}_E(B-V)_&lt;0.012mag, which also implies an average minimum observational error of {sigma}_V_&gt;0.018mag.</description><source format="bibcode">2001A&amp;A...371..579K</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/371/579</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/PASP/109/524">J/PASP/109/524 : Light Curves for 40 RR Lyraes (Layden 1997)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/112/2769">J/AJ/112/2769 : Behlen Observatory Survey. IV. 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xsi:type="vs:VOTableType">float</dataType></column><column><name>A9</name><description>A9 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi9</name><description>phi9 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A10</name><description>A10 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi10</name><description>phi10 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A11</name><description>A11 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi11</name><description>phi11 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A12</name><description>A12 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi12</name><description>phi12 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A13</name><description>A13 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi13</name><description>phi13 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A14</name><description>A14 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi14</name><description>phi14 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A15</name><description>A15 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi15</name><description>phi15 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/A+A/371/579/clusvi</name><description>Average observed V-I indices and Fourier decompositions in V color for cluster variables (table 3, part 3/4)</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>Link</name><description>Show the reconstructed Fourier light curve</description><ucd>meta.ref</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Star</name><description>Star name</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="11*">char</dataType><flag>primary</flag></column><column><name>Period</name><description>Period</description><unit>d</unit><ucd>time.period</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Epoch</name><description>Epoch for phi=0 (various HJD truncations)</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A0</name><description>Average V magnitude</description><unit>mag</unit><ucd>phot.mag;em.opt.V</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>N</name><description>Number of data points</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>sigma</name><description>Residual standard deviation</description><unit>mag</unit><ucd>stat.stdev</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Cl</name><description>? Cluster number</description><ucd>meta.id.parent</ucd><dataType xsi:type="vs:VOTableType">int</dataType><flag>nullable</flag></column><column><name>Color</name><description>? Color code</description><unit>mag</unit><ucd>phot.color;em.opt.V;em.opt.I</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>A1</name><description>A1 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi1</name><description>phi1 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A2</name><description>A2 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi2</name><description>phi2 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A3</name><description>A3 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi3</name><description>phi3 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A4</name><description>A4 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi4</name><description>phi4 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A5</name><description>A5 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi5</name><description>phi5 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A6</name><description>A6 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi6</name><description>phi6 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A7</name><description>A7 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi7</name><description>phi7 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A8</name><description>A8 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi8</name><description>phi8 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A9</name><description>A9 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi9</name><description>phi9 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A10</name><description>A10 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi10</name><description>phi10 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A11</name><description>A11 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi11</name><description>phi11 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A12</name><description>A12 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi12</name><description>phi12 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A13</name><description>A13 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi13</name><description>phi13 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A14</name><description>A14 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi14</name><description>phi14 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A15</name><description>A15 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi15</name><description>phi15 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/A+A/371/579/fieldv</name><description>Fourier decompositions in V color for Galactic field variables (table 2, part 4/4)</description><column><name>Cl</name><description>? Cluster number</description><ucd>meta.id.parent</ucd><dataType xsi:type="vs:VOTableType">int</dataType><flag>nullable</flag></column><column><name>Period</name><description>Period</description><unit>d</unit><ucd>time.period</ucd><dataType xsi:type="vs:VOTableType">double</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>Link</name><description>Show the reconstructed Fourier light curve</description><ucd>meta.ref</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Star</name><description>Star name</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="11*">char</dataType></column><column><name>Simbad</name><description>ask the SIMBAD data-base about this object</description><ucd>meta.ref</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Epoch</name><description>Epoch for phi=0 (various HJD truncations)</description><unit>d</unit><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A0</name><description>Average V magnitude</description><unit>mag</unit><ucd>phot.mag;em.opt.V</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>N</name><description>Number of data points</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>sigma</name><description>Residual standard deviation</description><unit>mag</unit><ucd>stat.stdev</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Color</name><description>? Color code</description><unit>mag</unit><ucd>phot.color</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>A1</name><description>A1 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi1</name><description>phi1 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A2</name><description>A2 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi2</name><description>phi2 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A3</name><description>A3 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi3</name><description>phi3 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A4</name><description>A4 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi4</name><description>phi4 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A5</name><description>A5 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi5</name><description>phi5 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A6</name><description>A6 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi6</name><description>phi6 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A7</name><description>A7 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi7</name><description>phi7 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A8</name><description>A8 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi8</name><description>phi8 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A9</name><description>A9 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi9</name><description>phi9 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A10</name><description>A10 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi10</name><description>phi10 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A11</name><description>A11 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi11</name><description>phi11 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A12</name><description>A12 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi12</name><description>phi12 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A13</name><description>A13 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi13</name><description>phi13 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A14</name><description>A14 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi14</name><description>phi14 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A15</name><description>A15 Fourier amplitude</description><unit>mag</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>phi15</name><description>phi15 Fourier phase</description><unit>rad</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table></schema></tableset></ri:Resource>