<?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>S0185-11012023000100083</article-id>
<article-id pub-id-type="doi">10.22201/ia.01851101p.2023.59.01.05</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Numerical Investigations of the Orbital Dynamics Around a Synchronous Binary System of Asteroids]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[L. B. T.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Almeida Jr]]></surname>
<given-names><![CDATA[Allan Kardec de]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[P. A. Sousa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Terra]]></surname>
<given-names><![CDATA[M. O.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aljbaae]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Monteiro]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,National Institute for Space Research Division of Space Mechanics and Control ]]></institution>
<addr-line><![CDATA[São José dos Campos ]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto de Telecomunicações  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,São Paulo State University  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Technological Institute of Aeronautics  ]]></institution>
<addr-line><![CDATA[São José dos Campos ]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,The University of Oklahoma  ]]></institution>
<addr-line><![CDATA[Norman OK]]></addr-line>
<country>Estados Unidos</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,National Institute for Space Research Postgraduate Division ]]></institution>
<addr-line><![CDATA[São Paulo ]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af7">
<institution><![CDATA[,RUDN University Academy of Engineering ]]></institution>
<addr-line><![CDATA[Moscow ]]></addr-line>
<country>Rusia</country>
</aff>
<aff id="Af8">
<institution><![CDATA[,National Observatory  ]]></institution>
<addr-line><![CDATA[Rio de Janeiro ]]></addr-line>
<country>Brasil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<volume>59</volume>
<numero>1</numero>
<fpage>83</fpage>
<lpage>97</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012023000100083&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012023000100083&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012023000100083&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT In this article, equilibrium points and families of periodic orbits in the vicinity of the collinear equilibrium points of a binary asteroid system are investigated with respect to the angular velocity of the secondary body, the mass ratio of the system and the size of the secondary. We assume that the gravitational fields of the bodies are modeled considering the primary as a mass point and the secondary as a rotating mass dipole. This model allows to compute families of planar and halo periodic orbits that emanate from the equilibrium points L 1 and L2. The stability and bifurcations of these families are analyzed and the results are compared with the results obtained with the restricted three-body problem (RTBP). The results provide an overview of the dynamical behavior in the vicinity of a binary asteroid system.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN En este artículo, se investigan los puntos de equilibrio y las familias de ´orbitas periódicas en la vecindad de los puntos de equilibrio colineal de un sistema binario de asteroides con respecto a la velocidad angular del cuerpo secundario, la relación de masa del sistema y el tamaño del secundario. Suponemos que los campos gravitatorios de los cuerpos se modelan asumiendo el primario como punto masa y el secundario como dipolo de masa giratorio. Este modelo permite calcular familias de ´orbitas planas y periódicas de halo que emanan de los puntos de equilibrio L 1 y L2. Se analiza la estabilidad y bifurcaciones de estas familias y se comparan los resultados con los obtenidos con el problema de los tres cuerpos restringido (RTBP). Los resultados brindan una descripción general del comportamiento dinámico en la vecindad de un sistema binario de asteroides.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[celestial mechanics &#8212; minor planets]]></kwd>
<kwd lng="en"><![CDATA[asteroids]]></kwd>
</kwd-group>
</article-meta>
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