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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">10.17285/0869-7035.0076</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-198</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>Предотвращение возможности возникновения резонансных режимов движения для низковысотных спутников класса CubeSat</article-title><trans-title-group xml:lang="en"><trans-title>Preventing Resonant Motion Modes for Low-Altitude CubeSat Nanosatellites</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4645-7212</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Баринова</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Barinova</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Баринова Елена Витальевна. Кандидат технических наук, доцент межвузовской кафедры космических исследований.</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5486-8820</contrib-id><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, 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"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5074-1590</contrib-id><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 межвузовской кафедры космических исследований, действительный член общественного объединения «Академия навигации и управления движением».</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>Samara National Research University, Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>22</day><month>10</month><year>2025</year></pub-date><volume>29</volume><issue>4</issue><fpage>115</fpage><lpage>133</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Баринова Е.В., Белоконов И.В., Тимбай И.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Баринова Е.В., Белоконов И.В., Тимбай И.А.</copyright-holder><copyright-holder xml:lang="en">Barinova E.V., Belokonov I.V., Timbai I.A.</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/198">https://www.gyroscopy.ru/jour/article/view/198</self-uri><abstract><p>Резонансные режимы движения, проявляющиеся в существенном увеличении амплитуды колебаний по пространственному углу атаки, могут привести к невыполнению целевой задачи полета. В связи с этим в статье исследуются резонансные режимы движения аэродинамически стабилизированных наноспутников формата CubeSat при полете на низких круговых орбитах при малой инерционно-массовой асимметрии. В отличие от осесимметричных тел вращения у наноспутников формата CubeSat резонансы могут проявляться не только из-за наличия малой асимметрии, но и по причине форм-фактора прямоугольного параллелепипеда. В работе получены формулы для определения критических значений продольной угловой скорости наноспутника, при которых выполняются условия возникновения резонансных режимов движения, а также предложен подход к предотвращению возможного появления резонансов для наноспутников класса CubeSat.</p></abstract><trans-abstract xml:lang="en"><p>Resonant modes of motion, manifested as a significant increase in the oscillation amplitude of the spatial angle of attack, can result in the failure of the CubeSat mission. This paper is concerned with the study of the resonant motion modes of aerodynamically stabilized CubeSat nanosatellites in low circular orbits with small inertia and mass asymmetry. In contrast to axisymmetric bodies of rotation, resonances in CubeSat nanosatellites can be caused not only by small asymmetry, but they also arise due to the form factor of the rectangular parallelepiped. Formulas have been obtained to determine the critical values of the nanosatellite longitudinal angular velocity at which the conditions for the emergence of resonant motion modes are fulfilled. An approach is proposed to prevent possible resonances for CubeSat nanosatellites.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Наноспутник формата CubeSat</kwd><kwd>аэродинамический момент</kwd><kwd>резонанс</kwd><kwd>угол атаки</kwd><kwd>угол собственного вращения.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>CubeSat nanosatellite</kwd><kwd>aerodynamic moment</kwd><kwd>resonance</kwd><kwd>angle of attack</kwd><kwd>angle of proper rotation.</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">He, L., Chen, X., Kumar, K. D., Sheng, T. and Yue, C., A novel three-axis attitude stabilization method using in-plane internal mass-shifting, Aerospace Science and Technology, 2019, vol. 92, pp. 489–500.</mixed-citation><mixed-citation xml:lang="en">He, L., Chen, X., Kumar, K. 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