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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">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18384/2310-7251-2023-2-29-37</article-id><article-id custom-type="elpub" pub-id-type="custom">phmath-200</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Проблема темной материи и коррекции формулы гравитационного взаимодействия на межгалактических расстояниях</article-title><trans-title-group xml:lang="en"><trans-title>Problem of dark matter and correction of the formula for gravitational interaction at intergalactic distances</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>Волкова</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Volkova</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Волкова Ольга Алексеевна – аспирант кафедры фундаментальной физики инанотехнологии</p><p>141014, Московская обл., г. Мытищи, ул. Веры Волошиной, д. 24</p></bio><bio xml:lang="en"><p>Olga A. Volkova – Postgraduate Student, Department of Fundamental Physics and Nanotechnology</p><p>ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region</p></bio><email xlink:type="simple">olka.volkova96@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хамис Хассан</surname><given-names>М. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Khamis Hassan</surname><given-names>M. H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Хамис Хассан Махер Хосни – аспирант кафедры фундаментальной физики и нанотехнологии</p><p>141014, Московская обл., г. Мытищи, ул. Веры Волошиной, д. 24</p></bio><bio xml:lang="en"><p>Maher Hosni Khamis Hassan – Postgraduate Student, Department of Fundamental Physics and Nanotechnology</p><p>ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region</p></bio><email xlink:type="simple">m.khamis@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Евдокимов</surname><given-names>Н. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Evdokimov</surname><given-names>N. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евдокимов Николай Валерьевич – аспирант кафедры фундаментальной физики и нанотехнологии</p><p>141014, Московская обл., г. Мытищи, ул. Веры Волошиной, д. 24</p></bio><bio xml:lang="en"><p>Nikolay V. Evdokimov – Postgraduate Student, Department of Fundamental Physics and Nanotechnology</p><p>ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region</p></bio><email xlink:type="simple">nv.evdokimov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Камалов</surname><given-names>Ю. Т.</given-names></name><name name-style="western" xml:lang="en"><surname>Kamalov</surname><given-names>Yu. T.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Камалов Юрий Тимурович – аспирант кафедры фундаментальной физики инанотехнологии</p><p>141014, Московская обл., г. Мытищи, ул. Веры Волошиной, д. 24</p></bio><bio xml:lang="en"><p>Yuriy T. Kamalov – Postgraduate Student, Department of Fundamental Physics and Nanotechnology</p><p>ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region</p></bio><email xlink:type="simple">kamalov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Камалов</surname><given-names>Т. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Kamalov</surname><given-names>T. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Камалов Тимур Фянович – кандидат физико-математических наук, доцент, доцент кафедры фундаментальной физики и нанотехнологии; доцент кафедры теоретической физики</p><p>141014, Московская обл., г. Мытищи, ул. Веры Волошиной, д. 24;</p><p>141700, Московская область, г. Долгопрудный, Институтский пер., д 9</p></bio><bio xml:lang="en"><p>Timur F. Kamalov – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Fundamental Physics and Nanotechnology; Assoc. Prof., Department ofTheoretical Physics</p><p>ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region;</p><p>Institutskii per. 9, Dolgoprudnyi 141701, Moscow Region</p></bio><email xlink:type="simple">timkamalov@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Государственный университет просвещения</institution><country>Россия</country></aff><aff xml:lang="en"><institution>State University of Education</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Государственный университет просвещения; Московский физико-технический институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>State University of Education; Moscow Institute of Physics and Technology (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>25</day><month>05</month><year>2023</year></pub-date><volume>0</volume><issue>2</issue><fpage>29</fpage><lpage>37</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Волкова О.А., Хамис Хассан М.Х., Евдокимов Н.В., Камалов Ю.Т., Камалов Т.Ф., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Волкова О.А., Хамис Хассан М.Х., Евдокимов Н.В., Камалов Ю.Т., Камалов Т.Ф.</copyright-holder><copyright-holder xml:lang="en">Volkova O.A., Khamis Hassan M.H., Evdokimov N.V., Kamalov Y.T., Kamalov T.F.</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.physmathmgou.ru/jour/article/view/200">https://www.physmathmgou.ru/jour/article/view/200</self-uri><abstract><sec><title>Цель</title><p>Цель: подобрать корректирующие поправки в виде дополнительных переменных в уравнениях движения для анализа проблемы тёмной материи.</p></sec><sec><title>Процедура и методы</title><p>Процедура и методы. Проведены исследования методом введения высших производных в виде нелокальных переменных для описания гравитационного взаимодействия на межгалактических расстояниях. Проведён анализ содержания работ в соотнесении формулы гравитационного взаимодействия на галактических расстояниях от ускорения и её высших производных по времени.</p></sec><sec><title>Результаты</title><p>Результаты. Подобранная теоретическая поправка даёт хорошее совпадение теории с экспериментальными результатами и позволяет объяснить ранее необъяснимые эффекты, приводящие к понятию тёмной материи. Это становится возможным с помощью введения дополнительных переменных в виде высших производных.</p><p>Теоретическая и/или практическая значимость заключается в новых полученных нами результатах вычисления поведения галактик с помощью коррекционной поправки к формуле гравитационного взаимодействия на межгалактических расстояниях. Такие теоретические расчёты совпадают с экспериментальными данными.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Aim</title><p>Aim. We select corrective corrections in the form of additional variables in the equations of motion to analyze the problem of dark matter.</p></sec><sec><title>Methodology</title><p>Methodology. The research is based on the introduction of higher-order derivatives in the form of non-local variables to describe the gravitational interaction at intergalactic distances. Works are analyzed that correlate the formula of gravitational interaction at galactic distances from acceleration and its higher derivatives with respect to time.</p></sec><sec><title>Results</title><p>Results. The selected theoretical formula yields good agreement between theory and the experimental results, and makes it possible to explain previously unexplained effects leading to the concept of dark matter. This becomes possible by introducing additional variables in the form of higher-order derivatives.</p></sec><sec><title>Research implications</title><p>Research implications. We have obtained new results that allow the behavior of galaxies to be calculated using the correction formula for the gravitational interaction at intergalactic distances. Theoretical calculations coincide with the experimental data.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>высшие производные по времени уравнения движения</kwd><kwd>классическая механика</kwd><kwd>тёмная метрика для тёмной материи</kwd></kwd-group><kwd-group xml:lang="en"><kwd>higher time derivatives of the equation of motion</kwd><kwd>classical mechanics</kwd><kwd>dark metric for dark matter</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">Bertone G., Hooper D. 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