<?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>S0185-11012015000200010</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Approximate analytic solutions for the ionization structure of a pressure equilibrium Strömgren sphere]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tinoco Arenas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González Bolívar]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina Covarrubias]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Raga]]></surname>
<given-names><![CDATA[A. C.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Astronomía ]]></institution>
<addr-line><![CDATA[México Distrito Federal]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Ciencias Nucleares ]]></institution>
<addr-line><![CDATA[México Distrito Federal]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<volume>51</volume>
<numero>2</numero>
<fpage>239</fpage>
<lpage>244</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012015000200010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012015000200010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012015000200010&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Presentamos modelos analíticos de una región fotoionizada en equilibrio de presión con el medio ambiente neutro. Los modelos están basados en la suposición de una dependencia lineal entre la fracción de ionización de H y el cuadrado de la velocidad del sonido del gas. Demostramos que bajo estas suposiciones el problema de transporte radiativo "gris" tiene soluciones analíticas, que dan la estructura de ionización y la densidad de la nebulosa en función del radio.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[We present analytic models for a photoionized region in pressure equilibrium with the surrounding, neutral material. The models are based on the assumption of a linear relation between the H ionization fraction and the square of the sound speed of the gas. We show that under these assumptions the "grey" radiative transfer equation has analytic solutions that provide the ionization structure and the density of the nebula as a function of radius.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[ISM]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="center"><font face="verdana" size="4"><b>Approximate analytic solutions for the ionization structure of a pressure equilibrium Str&ouml;mgren sphere</b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>A. Tinoco Arenas,<sup>1</sup> M. Gonz&aacute;lez Bol&iacute;var,<sup>1</sup> R. Medina Covarrubias,<sup>1</sup> and A. C. Raga<sup>2</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup><i>1</i></sup> <i>Instituto de Astronom&iacute;a, Universidad Nacional Aut&oacute;noma de M&eacute;xico, Ap. 70&#45;468, 04510 D. F., M&eacute;xico.</i> (<a href="mailto:miguelgb@astro.unam.mx">miguelgb@astro.unam.mx</a>, <a href="mailto:rmedinax@astro.unam.mx">rmedinax@astro.unam.mx</a>, <a href="mailto:atinoco@astro.unam.mx">atinoco@astro.unam.mx</a>).</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup><i>2</i></sup> <i>Instituto de Ciencias Nucleares, Universidad Nacional Aut&oacute;noma de M&eacute;xico, Ap. 70&#45;543, 04510 D. F., M&eacute;xico.</i> (<a href="mailto:raga@nucleares.unam.mx">raga@nucleares.unam.mx</a>).</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Received 2015 May 22.    <br> 	Accepted 2015 August 7.</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>RESUMEN</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Presentamos modelos anal&iacute;ticos de una regi&oacute;n fotoionizada en equilibrio de presi&oacute;n con el medio ambiente neutro. Los modelos est&aacute;n basados en la suposici&oacute;n de una dependencia lineal entre la fracci&oacute;n de ionizaci&oacute;n de H y el cuadrado de la velocidad del sonido del gas. Demostramos que bajo estas suposiciones el problema de transporte radiativo "gris" tiene soluciones anal&iacute;ticas, que dan la estructura de ionizaci&oacute;n y la densidad de la nebulosa en funci&oacute;n del radio.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>ABSTRACT</b></font></p>  	    <p align="justify"><font face="verdana" size="2">We present analytic models for a photoionized region in pressure equilibrium with the surrounding, neutral material. The models are based on the assumption of a linear relation between the H ionization fraction and the square of the sound speed of the gas. We show that under these assumptions the "grey" radiative transfer equation has analytic solutions that provide the ionization structure and the density of the nebula as a function of radius.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Key Words:</b> ISM: HII regions.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmaa/v51n2/v51n2a10.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>ACKNOWLEDGMENT</b></font></p>  	    <p align="justify"><font face="verdana" size="2">We acknowledge support from the CONACYT grant 167611 and the DGAPA&#45;UNAM grants IN105312 and IG100214. We acknowledge an anonymous referee for comments which lead to the discussion in &sect; 4.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>REFERENCES</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">Babel, J. 1996, A &amp; A, 309, 867</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=7447760&pid=S0185-1101201500020001000001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">Binette, L., Wang, J., Villar&#45;Mart&iacute;n, M., Martin, P. G., Magris, C. 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