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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2500-0535</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">71172</article-id>
   <article-id pub-id-type="doi">10.12737/stp-101202410</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Results of current research</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Photometrical observations and shape modeling of space debris in medium Earth orbits</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Photometrical observations and shape modeling of space debris in medium Earth orbits</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Коробцев</surname>
       <given-names>Иван Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Korobtsev</surname>
       <given-names>Ivan Vladimirovich</given-names>
      </name>
     </name-alternatives>
     <email>korobtsev@yandex.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мишина</surname>
       <given-names>Марина Николаевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mishina</surname>
       <given-names>Marina Nikolaevna</given-names>
      </name>
     </name-alternatives>
     <email>mmish@iszf.irk.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Караваев</surname>
       <given-names>Юрий Степанович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Karavaev</surname>
       <given-names>Yurii Stepanovich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Еселевич</surname>
       <given-names>Максим Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Eselevich</surname>
       <given-names>Maxim Viktorovich</given-names>
      </name>
     </name-alternatives>
     <email>mesel@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Горяшин</surname>
       <given-names>Владимир Егорович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Goryashin</surname>
       <given-names>Vladimir Egorovich</given-names>
      </name>
     </name-alternatives>
     <email>vgor@iszf.irk.ru</email>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-03-26T18:03:15+03:00">
    <day>26</day>
    <month>03</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-03-26T18:03:15+03:00">
    <day>26</day>
    <month>03</month>
    <year>2024</year>
   </pub-date>
   <volume>10</volume>
   <issue>1</issue>
   <fpage>68</fpage>
   <lpage>75</lpage>
   <history>
    <date date-type="received" iso-8601-date="2023-10-19T00:00:00+03:00">
     <day>19</day>
     <month>10</month>
     <year>2023</year>
    </date>
    <date date-type="accepted" iso-8601-date="2023-12-06T00:00:00+03:00">
     <day>06</day>
     <month>12</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/71172/view">https://zh-szf.ru/en/nauka/article/71172/view</self-uri>
   <abstract xml:lang="ru">
    <p>The circular medium Earth orbits with a period of about half a day in the inclination range from 50° to 70° are used by various global navigation satellite systems (GNSS), such as GLONASS, GPS, Beidou, Galileo. GNSS operating orbits are one of the important areas in near-Earth space. The information about the space debris (SD) existing in this region and its characteristics is important for risk assessments and mitigation. We report the results of photometrical observations of SD objects in the vicinity of GNSS orbits obtained with the 1.6-meter AZT-33IK telescope of ISTP SB RAS Sayan Solar Observatory in 2018–2023. We show how SD objects existing in this region are distributed relative to GNSS objects. We derive time and phase dependences of the apparent brightness of all measured SD objects. Folded light curves are constructed, rotation periods and their dynamics are determined. The results of modeling the light curve inherent for several SD objects from the GNSS orbital are presented. We suggest a possible space object shape and parameters of proper rotation, which correspond to the observed light curve.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The circular medium Earth orbits with a period of about half a day in the inclination range from 50° to 70° are used by various global navigation satellite systems (GNSS), such as GLONASS, GPS, Beidou, Galileo. GNSS operating orbits are one of the important areas in near-Earth space. The information about the space debris (SD) existing in this region and its characteristics is important for risk assessments and mitigation. We report the results of photometrical observations of SD objects in the vicinity of GNSS orbits obtained with the 1.6-meter AZT-33IK telescope of ISTP SB RAS Sayan Solar Observatory in 2018–2023. We show how SD objects existing in this region are distributed relative to GNSS objects. We derive time and phase dependences of the apparent brightness of all measured SD objects. Folded light curves are constructed, rotation periods and their dynamics are determined. The results of modeling the light curve inherent for several SD objects from the GNSS orbital are presented. We suggest a possible space object shape and parameters of proper rotation, which correspond to the observed light curve.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>space debris</kwd>
    <kwd>photometrical observations</kwd>
    <kwd>light curve</kwd>
    <kwd>modeling</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>space debris</kwd>
    <kwd>photometrical observations</kwd>
    <kwd>light curve</kwd>
    <kwd>modeling</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation</funding-statement>
    <funding-statement xml:lang="en">The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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