<?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>S0185-11012018000200429</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Studying MID-Range planar orbits around Phobos]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cavalca]]></surname>
<given-names><![CDATA[M. P. O.]]></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"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Formiga]]></surname>
<given-names><![CDATA[J. K. S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gomes]]></surname>
<given-names><![CDATA[V. M.]]></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-group>
<aff id="Af1">
<institution><![CDATA[,National Institute for Space Research  ]]></institution>
<addr-line><![CDATA[São José dos Campos ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,São Paulo State University  ]]></institution>
<addr-line><![CDATA[São José dos Campos ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,São Paulo State University  ]]></institution>
<addr-line><![CDATA[Guaratinguetá ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<volume>54</volume>
<numero>2</numero>
<fpage>429</fpage>
<lpage>442</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012018000200429&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012018000200429&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012018000200429&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The goal of the present paper is to search and study mid-range planar orbits for a spacecraft traveling near Phobos. The first step is to make a numerical search and classification of natural orbits based in the concept of &#8220;Quasi Satellite Orbits&#8221; (QSO). The effects of the eccentricity of Phobos and the irregular shape of the bodies involved (Mars and Phobos) are studied, identifying the importance of these terms. This study is made using two different initial locations for Phobos, the periapsis and apoapsis. The results show the existence of several solutions, mapping the minimum, maximum and averaged Phobos-spacecraft distances.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El objetivo de este artículo es buscar y estudiar órbitas planas intermedias para naves espaciales que viajan cerca de Phobos. El primer paso es una búsqueda numérica y clasificación de las órbitas naturales basada en el concepto de las &#8220;órbitas cuasi satelitales&#8221; (QSOs). Se estudian los efectos de la excentricidad de Phobos y de la forma irregular de Phobos y Marte, y se identifica la importancia de los términos correspondientes. Se emplean dos posiciones iniciales diferentes para Phobos, el periapsis y el apoapsis. Los resultados muestran la existencia de varias soluciones que mapean las distancias mínima, máxima y promedio entre Phobos y la nave.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[celestial mechanics]]></kwd>
<kwd lng="en"><![CDATA[planets and satellites: dynamical evolution and stability]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Akim]]></surname>
<given-names><![CDATA[E. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Arkhangelsky]]></surname>
<given-names><![CDATA[R. N.]]></given-names>
</name>
<name>
<surname><![CDATA[Zaiko]]></surname>
<given-names><![CDATA[Yu. K.]]></given-names>
</name>
</person-group>
<source><![CDATA[CosRe]]></source>
<year>2009</year>
<volume>47</volume>
<numero>299</numero>
<issue>299</issue>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Araujo]]></surname>
<given-names><![CDATA[R. A. N.]]></given-names>
</name>
<name>
<surname><![CDATA[Winter]]></surname>
<given-names><![CDATA[O. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vieira Martins]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[MNRAS]]></source>
<year>2008</year>
<volume>391</volume>
<numero>675</numero>
<issue>675</issue>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Benest]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[CeMec]]></source>
<year>1976</year>
<volume>13</volume>
<numero>203</numero>
<issue>203</issue>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Carvalho]]></surname>
<given-names><![CDATA[J. P. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Elipe]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vilhena de Moraes]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[AdSpR]]></source>
<year>2012</year>
<volume>49</volume>
<numero>994</numero>
<issue>994</issue>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Carvalho]]></surname>
<given-names><![CDATA[J. P. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Europa. Mathem. Probl. Eng.]]></source>
<year>2014</year>
<volume>1</volume>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gil]]></surname>
<given-names><![CDATA[P. J. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Schwartz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[JGCD]]></source>
<year>2010</year>
<volume>33</volume>
<numero>901</numero>
<issue>901</issue>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gomes]]></surname>
<given-names><![CDATA[V. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Domingos]]></surname>
<given-names><![CDATA[R. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Comp. Appl. Math.]]></source>
<year>2016</year>
<volume>35</volume>
<numero>653</numero>
<issue>653</issue>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kogan]]></surname>
<given-names><![CDATA[Ya. I.]]></given-names>
</name>
</person-group>
<source><![CDATA[CosRe]]></source>
<year>1989</year>
<volume>26</volume>
<numero>705</numero>
<issue>705</issue>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kogan]]></surname>
<given-names><![CDATA[Ya. I.]]></given-names>
</name>
</person-group>
<source><![CDATA[41st Congress of the IAF]]></source>
<year>1990</year>
<volume>90</volume>
<numero>307</numero>
<issue>307</issue>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lam]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Whiffen]]></surname>
<given-names><![CDATA[G. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[AAS]]></source>
<year>2005</year>
<volume>23</volume>
<page-range>05-110</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lara]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[JGCD]]></source>
<year>2016</year>
<volume>39</volume>
<numero>2157</numero>
<issue>2157</issue>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lidov]]></surname>
<given-names><![CDATA[M. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Vashkov&#8217;yak]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[KosIs]]></source>
<year>1993</year>
<volume>31</volume>
<numero>75</numero>
<issue>75</issue>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lidov]]></surname>
<given-names><![CDATA[M. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Vashkov&#8217;yak]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[AstL]]></source>
<year>1994</year>
<volume>20</volume>
<numero>676</numero>
<issue>676</issue>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ma]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Ap&amp;SS]]></source>
<year>2013</year>
<volume>343</volume>
<numero>83</numero>
<issue>83</issue>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mikkola]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[MNRAS]]></source>
<year>2006</year>
<volume>369</volume>
<numero>1524</numero>
<issue>1524</issue>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Oliveira]]></surname>
<given-names><![CDATA[T. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[AcAau]]></source>
<year>2014</year>
<volume>104</volume>
<numero>350</numero>
<issue>350</issue>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Oliveira]]></surname>
<given-names><![CDATA[T. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Adv. in the Astronau. Sci.]]></source>
<year>2014</year>
<volume>152</volume>
<numero>3081</numero>
<issue>3081</issue>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Math. Problems in Eng.]]></source>
<year>2013</year>
<volume>2013</volume>
<numero>1</numero>
<issue>1</issue>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[AdSpR]]></source>
<year>2014</year>
<volume>53</volume>
<numero>877</numero>
<issue>877</issue>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[ISTS]]></source>
<year>2015</year>
<volume>1</volume>
<publisher-loc><![CDATA[Kobe, Japan ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mathem. Problems in Eng.]]></source>
<year>2009</year>
<volume>2009</volume>
<numero>1</numero>
<issue>1</issue>
</nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Yokoyama]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[AdSpR]]></source>
<year>2014</year>
<volume>54</volume>
<numero>1008</numero>
<issue>1008</issue>
</nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Howell]]></surname>
<given-names><![CDATA[K. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[AAS/AIAA]]></source>
<year>2016</year>
<volume>15</volume>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Prado]]></surname>
<given-names><![CDATA[A. F. B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Adv Astronau. Sci.]]></source>
<year>2017</year>
<volume>162</volume>
<numero>1507</numero>
<issue>1507</issue>
</nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[JPhCS]]></source>
<year>2015</year>
<volume>641</volume>
<numero>01201</numero>
<issue>01201</issue>
</nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Short]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Howell]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Haapala]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Dichmann]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Astronau. Sci.]]></source>
<year>2016</year>
<volume>64</volume>
<numero>156</numero>
<issue>156</issue>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Szebehely]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Theory of Orbits: The Restricted Problem of Three Bodies]]></source>
<year>1967</year>
<publisher-loc><![CDATA[New York, NY ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tuchin]]></surname>
<given-names><![CDATA[A. G.]]></given-names>
</name>
</person-group>
<source><![CDATA[CosR]]></source>
<year>2008</year>
<volume>46</volume>
<numero>506</numero>
<issue>506</issue>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Villac]]></surname>
<given-names><![CDATA[B. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Aiello]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[AAS/AIAA]]></source>
<year>2005</year>
<page-range>05-188</page-range></nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Whiffen]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[AAS/AIAA]]></source>
<year>2003</year>
<page-range>03-354</page-range></nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wiesel]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[JGCD]]></source>
<year>1993</year>
<volume>16</volume>
<numero>434</numero>
<issue>434</issue>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zamaro]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Biggs]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
</person-group>
<source><![CDATA[AcAau]]></source>
<year>2016</year>
<volume>119</volume>
<numero>160</numero>
<issue>160</issue>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
