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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17285/0869-7035.2018.26.3.069-091</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-286</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Анализ и синтез движения аэродинамически стабилизированных космических аппаратов нанокласса формата CUBESAT</article-title><trans-title-group xml:lang="en"><trans-title>Analysis and Synthesis of Motion of Aerodynamically Stabilized Nanosatellites of the CubeSat Design</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Белоконов</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Belokonov</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Белоконов Игорь Витальевич. Доктор технических наук, профессор, заведующий межвузовской кафедрой космических исследований.</p><p>Действительный член общественного объединения «Академия навигации и управления движением».</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тимбай</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Timbai</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тимбай Иван Александрович. Доктор технических наук, профессор, профессор межвузовской кафедры космических исследований.</p><p>Действительный член общественного объединения «Академия навигации и управления движением».</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Николаев</surname><given-names>П. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikolaev</surname><given-names>P. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Николаев Петр Николаевич. Аспирант межвузовской кафедры космических исследований</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Самарский национальный исследовательский университет имени академика С. П. Королёва</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Inter-University Department of Space Research Samara National Research University, Samara, Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>21</day><month>11</month><year>2025</year></pub-date><volume>26</volume><issue>3</issue><fpage>69</fpage><lpage>91</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Белоконов И.В., Тимбай И.А., Николаев П.Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Белоконов И.В., Тимбай И.А., Николаев П.Н.</copyright-holder><copyright-holder xml:lang="en">Belokonov I.V., Timbai I.A., Nikolaev P.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.gyroscopy.ru/jour/article/view/286">https://www.gyroscopy.ru/jour/article/view/286</self-uri><abstract><p>Исследуется движение аэродинамически стабилизированных космических аппаратов нанокласса формата CubeSat. Отмечаются особенности поведения наноспутников на низких орбитах, обусловленные как влиянием атмосферы, так и присущими им массово-инерционными характеристиками. Срок существования наноспутников меньше, а угловое ускорение, порождаемое аэродинамическим моментом, значительно больше, чем у спутников с существенными размерами и массой. У наноспутников формата CubeSat возможно возникновение резонансных режимов движения, обусловленных присущим им форм-фактором прямоугольного параллелепипеда. Кроме того, существующие коммерческие пусковые устройства отделения наноспутников, как правило, порождают большие величины начальной угловой скорости, которые носят случайный характер.</p><p>В работе выявлены и проанализированы условия, порождающие особенности в движении такого класса космических аппаратов, предложен вероятностный подход к выбору их массовых и инерционных характеристик, исследованы проблемы стабилизации движения и сформированы рекомендации по формированию облика аэродинамически стабилизированного наноспутника формата CubeSat с пассивно-активной магнитной системой гашения колебаний.</p></abstract><trans-abstract xml:lang="en"><p>The motion of aerodynamically stabilized nanosatellites of the CubeSat design is studied. The features of the nanosatellites behavior in low orbits are conditioned both by the atmospheric effects and their own mass and inertial characteristics: the lifetime of nanosatellites is shorter, while the angular acceleration generated by the aerodynamic moment is much higher as compared with big satellites having large mass. CubeSats may experience resonance modes of motion caused by the shape factor of a rectangular parallelepiped. In addition, the existing commercial CubeSat deployers often generate large initial angular velocities that are random in nature. The conditions that cause the specific features of the CubeSat motion are considered and analyzed. A probabilistic approach to choosing their mass and inertial characteristics is proposed. The problems of motion stabilization are studied, and recommendations are formulated on the design of aerodynamically stabilized CubeSats with a passive/active magnetic damping system.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Наноспутник</kwd><kwd>управление движением</kwd><kwd>аэродинамическая стабилизация.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Nanosatellite</kwd><kwd>motion control</kwd><kwd>aerodynamic stabilization.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Kirillin, A., Belokonov, I., Timbai, I., Kramlikh, A., Melnik, M., Ustiugov, E., Egorov, A., Shafran, S., SSAU Nanosatellite Project for the Navigation and Control Technologies Demonstration, Procedia Engineering, 2015, vol. 104, pp. 97–106.</mixed-citation><mixed-citation xml:lang="en">Kirillin, A., Belokonov, I., Timbai, I., Kramlikh, A., Melnik, M., Ustiugov, E., Egorov, A., and Shafran, S., SSAU nanosatellite project for the navigation and control technologies demonstration, Procedia Engineering, 2015, vol. 104, pp. 97–106.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Shakhmatov, E., Belokonov, I., Timbai, I., Ustiugov, E., Nikitin, A., Shafran, S., SSAU Project of the Nanosatellite SamSat-QB50 for Monitoring the Earth's Thermosphere Parameters, Procedia Engineering, 2015, vol. 104, pp. 139-146.</mixed-citation><mixed-citation xml:lang="en">Shakhmatov, E., Belokonov, I., Timbai, I., Ustiugov, E., Nikitin, A., and Shafran, S., SSAU project of the nanosatellite SamSat-QB50 for monitoring the Earth's thermosphere parameters, Procedia Engineering, 2015, volume 104, pp. 139–146.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">https://www.qb50.eu/.</mixed-citation><mixed-citation xml:lang="en">https://www.qb50.eu/.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Белецкий В.В. 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