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<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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Plasma Physics Reports</journal-id><journal-title-group><journal-title xml:lang="en">Plasma Physics Reports</journal-title><trans-title-group xml:lang="ru"><trans-title>Физика плазмы</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0367-2921</issn><issn publication-format="electronic">3034-6371</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">668491</article-id><article-id pub-id-type="doi">10.31857/S0367292123600334</article-id><article-id pub-id-type="edn">VXTVVC</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>SPACE PLASMA</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>КОСМИЧЕСКАЯ ПЛАЗМА</subject></subj-group><subj-group subj-group-type="article-type"><subject>Unknown</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Interaction of Relativistic Electrons with Packets of the Electromagnetic Ion Cyclotron Waves of Finite Length and Low Amplitude</article-title><trans-title-group xml:lang="ru"><trans-title>Взаимодействие релятивистских электронов с пакетами электромагнитных ионно-циклотронных волн конечной длительности и малой амплитуды</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Grach</surname><given-names>V. S.</given-names></name><name xml:lang="ru"><surname>Грач</surname><given-names>В. С.</given-names></name></name-alternatives><email>vsgrach@ipfran.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Demekhov</surname><given-names>A. G.</given-names></name><name xml:lang="ru"><surname>Демехов</surname><given-names>А. Г.</given-names></name></name-alternatives><email>vsgrach@ipfran.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт прикладной физики им. А.В. Гапонова-Грехова РАН</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Polar Geophysical Institute</institution></aff><aff><institution xml:lang="ru">Полярный геофизический институт</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-07-01" publication-format="electronic"><day>01</day><month>07</month><year>2023</year></pub-date><volume>49</volume><issue>7</issue><issue-title xml:lang="ru"/><fpage>683</fpage><lpage>694</lpage><history><date date-type="received" iso-8601-date="2025-02-26"><day>26</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, Российская академия наук</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0367-2921/article/view/668491">https://journals.eco-vector.com/0367-2921/article/view/668491</self-uri><abstract xml:lang="en"><p>Interaction of relativistic electrons with packets of the electromagnetic ion cyclotron waves of finite length and low amplitude in the Earth’s radiation belts is analyzed. The variance of the equatorial pitch angle of electrons for wave packets located near the Earth’s geomagnetic equator is estimated analytically within the linear approximation. The analytical estimates agree with the results of numerical test-particle simulation. It is demonstrated that reduction in the packet length extends the interaction range to lower energies beyond the range of resonant energies. Such an interaction can result in precipitation of electrons with energies on the order of several hundred kiloelectronvolts into the ionosphere.</p></abstract><trans-abstract xml:lang="ru"><p id="idm45181326420064">Рассматривается взаимодействие релятивистских электронов с пакетами электромагнитных ионно-циклотронных волн конечной длительности и малой амплитуды в радиационных поясах Земли. В рамках линейного приближения получены аналитические оценки дисперсии экваториального питч-угла электронов для волновых пакетов, расположенных вблизи геомагнитного экватора. Продемонстрировано согласие аналитических оценок с результатами численных расчетов методом пробных частиц. Показано, что уменьшение длительности пакета расширяет область взаимодействия в область малых энергий, находящихся за пределами диапазона резонансных значений. Подобное взаимодействие может приводить к высыпаниям в ионосферу электронов с энергиями порядка сотен килоэлектронвольт.</p></trans-abstract><kwd-group xml:lang="en"><kwd>wave–particle interaction</kwd><kwd>radiation belts</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>взаимодействие волн и частиц</kwd><kwd>радиационные пояса</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Kennel C.F., Petschek H.E. // J. Geophys. Res. 1966. T. 71. C. 1. https://doi.org/10.1029/JZ071i001p00001</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Tverskoy B.A. // Rev. Geophys. Space Phys. 1969. V. 7. 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