<?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>S0185-11012016000200375</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[On the equilibrium of a distorted heterogeneous ellipsoidal mass. III: the heterogeneous spheroidal mass]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cisneros Parra]]></surname>
<given-names><![CDATA[J. U.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez Herrera,]]></surname>
<given-names><![CDATA[F. J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montalvo Castro]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de San Luis Potosí Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma de San Luis Potosí Instituto de Física ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2016</year>
</pub-date>
<volume>52</volume>
<numero>2</numero>
<fpage>375</fpage>
<lpage>383</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012016000200375&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012016000200375&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012016000200375&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: In our Paper I, Bernoulli&#8217;s theorem was employed in an approximate form to study the equilibrium of a self-gravitating homogeneous distorted spheroid, with internal di&#64256;erential vorticity currents, where, for ease, the Bernoulli constant k was taken as being the same everywhere, eventually leading this to inconsistencies, which are no longer present when each streamline has its own k. In the current paper we investigate, through a simple and general rotation law, the equilibrium of a heterogeneous body composed of two concentric distorted spheroids-core and envelope-whose axes are not correlated. The model yields, for each value of the body&#8217;s relative density, five-parametric series of figures, constrained by certain geometrical and physical limits. The pertinent distribution for the angular velocity is by cylinders coaxial with the rotation axis. Contrary to what was stated in our Papaer II, the distribution by disks is impossible.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: En nuestro trabajo I empleamos, de manera aproximada, el teorema de Bernoulli para estudiar el equilibrio de un esferoide homogéneo deformado autogravitante, con corrientes internas de vorticidad diferencial donde, por comodidad, se supuso que la constante k de esa ecuación era la misma en todas partes del cuerpo, lo que eventualmente condujo a inconsistencias, que desaparecieron al permitir que cada línea de corriente tenga su propia k. En el presente trabajo investigamos, mediante una ley de rotación simple y precisa, el equilibrio de un cuerpo heterogéneo que consiste de dos esferoides deformados concéntricos -núcleo y envoltura- cuyos semiejes no guardan relación alguna entre sí. El modelo aporta, para cada valor de la densidad relativa del cuerpo, series pentaparamétricas de figuras, restringidas por ciertos límites geométricos y físicos. La distribución de velocidad angular pertinente es por cilindros coaxiales al eje de rotación; contrariamente a lo estipulado en nuestro trabajo II, la distribución por discos no es posible.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[gravitation]]></kwd>
<kwd lng="en"><![CDATA[hydrodynamics]]></kwd>
<kwd lng="en"><![CDATA[stars: rotation]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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</article>
