<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0185-1101</journal-id>
<journal-title><![CDATA[Revista mexicana de astronomía y astrofísica]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. astron. astrofis]]></abbrev-journal-title>
<issn>0185-1101</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Astronomía]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0185-11012022000200257</article-id>
<article-id pub-id-type="doi">10.22201/ia.01851101p.2022.58.02.08</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A Vindication of The RR Lyrae Fourier Light Curve Decomposition for the Calculation of Metallicity and Distance in Globular Clusters]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Arellano Ferro]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Astronomía ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<volume>58</volume>
<numero>2</numero>
<fpage>257</fpage>
<lpage>271</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012022000200257&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012022000200257&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012022000200257&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT We report the mean metallicity and absolute magnitude of RR Lyrae stars in a sample of 37 globular clusters, calculated via the Fourier decomposition of their light curves and ad hoc semi-empirical calibrations, in an unprecedented homogeneous approach. This enabled a new discussion of the metallicity dependence of the horizontal branch (HB) luminosity, as a fundamental distance indicator. The calibration for the RRab and RRc stars should be treated separately. For the RRab the dispersion is larger and non-linear. For the RRc stars the correlation is less steep, very tight and linear. The relevance of the HB structural parameter £, is highlighted and we offer a non-linear calibration of the form MV ([Fe/H], £). Excellent agreement is found between values of [Fe/H] and MV from the light curve decomposition with spectroscopic values and distances obtained via Gaia-DR3 and HST. The variables census in 35 clusters includes 326 stars found by our program.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Reportamos valores medios de la metalicidad y magnitud absoluta de estrellas RR Lyrae en 37 cúmulos globulares (CGs), calculados homogéneamente por medio de la descomposición de Fourier de las curvas de luz y de calibraciones ad hoc semi empíricas. Lo anterior permitió un nuevo análisis de la luminosidad de la rama horizontal (RH) y su dependencia de la metalicidad, como indicador fundamental de distancia. La calibración para estrellas RRab y RRc debe tratarse por separado. Para las RRab no es lineal y presenta mayor dispersión. Para las RRc la correlación es lineal y estrecha. La relevancia del parámetro de estructura de la RH, £ para las RRab, es evidente. Ofrecemos una calibración de la forma MV ([Fe/H], £). Los valores de [Fe/H] y MV comparan muy bien con valores espectroscópicos y determinaciones de distancia obtenidas con datos de Gaia-DR3 and HST. El censo de variables en 35 cúmulos incluye 326 descubiertas por nuestro programa.]]></p></abstract>
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