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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="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Geomagnetism and Aeronomy</journal-id><journal-title-group><journal-title xml:lang="en">Geomagnetism and Aeronomy</journal-title><trans-title-group xml:lang="ru"><trans-title>Геомагнетизм и аэрономия</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0016-7940</issn><issn publication-format="electronic">3034-5022</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">650923</article-id><article-id pub-id-type="doi">10.31857/S0016794024040087</article-id><article-id pub-id-type="edn">RSTUTM</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Parametrization of spatial-energy distributions of H<sup>+</sup> and O<sup>+</sup> ions of the ring current on the main phase of magnetic storms</article-title><trans-title-group xml:lang="ru"><trans-title>Параметризация пространственно-энергетических распределений ионов H<sup>+</sup> и O<sup>+</sup> кольцевого тока на главной фазе магнитных бурь</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kovtyukh</surname><given-names>A. S.</given-names></name><name xml:lang="ru"><surname>Ковтюх</surname><given-names>А. С.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Skobeltsyn Institute of Nuclear Physics</p></bio><bio xml:lang="ru"><p>Научно-исследовательский институт ядерной физики им. Д.В. Скобельцына (НИИЯФ МГУ)</p></bio><email>kovtyukhas@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Lomonosov Moscow State University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет им. М.В. Ломоносова</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-08-23" publication-format="electronic"><day>23</day><month>08</month><year>2024</year></pub-date><volume>64</volume><issue>4</issue><issue-title xml:lang="ru">ГЕОМАГНЕТИЗМ И АЭРОНОМИЯ</issue-title><fpage>529</fpage><lpage>547</lpage><history><date date-type="received" iso-8601-date="2025-02-01"><day>01</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Российская академия наук</copyright-statement><copyright-year>2024</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/0016-7940/article/view/650923">https://journals.eco-vector.com/0016-7940/article/view/650923</self-uri><abstract xml:lang="en"><p>Based on the results of measurements near the equatorial plane a fluxes and energy spectra of H<sup>+</sup> and O<sup>+</sup> ions of the magnetosphere’s ring current by the OGO-3, Explorer 45, AMPTE/CCE, and Van Allen Probes (A and B) satellites, a systematic analysis of spatial distributions of the energy density for these ions on the main phase of magnetic storms was carried out. Twelve storms of different strength were considered, with max|<italic>Dst</italic>| from 64 to 307 nT. The radial profile of the ring current ions energy density is characterized by the maximum (<italic>L<sub>m</sub></italic>) and by the ratio of the energy densities of the ions and the magnetic field at this maximum (<italic>β</italic><italic><sub>m</sub></italic>), and at <italic>L</italic> &gt; <italic>L<sub>m</sub></italic> this profile is approximated by the function <italic>w</italic>(<italic>L</italic>) = <italic>w</italic><sub>0</sub>exp(–<italic>L</italic>/<italic>L</italic><sub>0</sub>). Quantitative dependences of the parameter <italic>L<sub>m</sub></italic> on the <italic>Dst</italic> index and MLT, and also the dependences of the parameters <italic>β</italic><italic><sub>m</sub></italic>, <italic>w</italic><sub>0</sub> and<italic> L</italic><sub>0</sub> on the <italic>Dst</italic>, MLT and<italic> L<sub>m</sub></italic>, are obtained. These dependences are different for H<sup>+</sup> and O<sup>+</sup> ions, as well as for ions of low (<italic>E</italic> &lt; 60 keV) and higher energies. It has been established that in a narrow inner region of the ring current near its maximum in the nighttime hemisphere of the magnetosphere, the ring current asymmetry is much smaller (especially for O<sup>+</sup> ions) than at <italic>L</italic> &gt; <italic>L<sub>m</sub></italic>. It was found that with increasing <italic>L</italic>, the asymmetry of the ring current by MLT increases significantly, with H<sup>+</sup> ions concentrated at near 18 MLT, and O<sup>+</sup> ions at near 24 MLT. It is shown that for O<sup>+</sup> ions with <italic>E</italic> ~ 1–300 keV, <italic>β</italic><italic><sub>m</sub></italic> ∝ <italic>L<sub>m</sub></italic><sup>–9</sup>; this result shows that a deeper penetration of hot plasma into a geomagnetic trap, during strong storms, requires not only a stronger electric field of convection, but also a significant preliminary accumulation and acceleration of ions (especially O<sup>+</sup> ions) in the sources of the ring current.</p></abstract><trans-abstract xml:lang="ru"><p>По результатам измерений вблизи экваториальной плоскости потоков и спектров ионов H<sup>+</sup> и O<sup>+</sup> магнитосферного кольцевого тока на ИСЗ OGO-3, Explorer-45, AMPTE/CCE и Van Allen Probes (A и B) проведен систематический анализ пространственных распределений плотности энергии этих ионов на главной фазе магнитных бурь. Рассмотрены 12 бурь разной силы, с max|<italic>Dst</italic>| от 64 до 307 нТл. Радиальный профиль плотности энергии ионов кольцевого тока характеризуется положением его максимума (<italic>L<sub>m</sub></italic>) и отношением плотностей энергии ионов и магнитного поля в этом максимуме (<italic>β<sub>m</sub></italic>), а на <italic>L</italic> &gt; <italic>L<sub>m</sub></italic> этот профиль аппроксимируется зависимостью <italic>w</italic>(<italic>L</italic>) = <italic>w</italic><sub>0</sub> exp(–<italic>L</italic>/<italic>L</italic><sub>0</sub>). Получены количественные зависимости параметра <italic>L<sub>m</sub></italic> от индекса <italic>Dst</italic> и от MLT, а также зависимости параметров <italic>β<sub>m</sub></italic>, <italic>w</italic><sub>0</sub> и <italic>L</italic><sub>0</sub> от <italic>Dst</italic>, MLT и <italic>L<sub>m</sub></italic>. Эти зависимости различны для ионов H<sup>+</sup> и O<sup>+</sup>, а также для ионов малых (<italic>E</italic> &lt; 60 кэВ) и более высоких энергий. Установлено, что в области вблизи максимума кольцевого тока его асимметрия в ночной полусфере магнитосферы значительно меньше, чем на <italic>L</italic> &gt; <italic>L<sub>m</sub> </italic>(особенно для ионов O<sup>+</sup>); с увеличением <italic>L</italic> асимметрия кольцевого тока по MLT усиливается, причем ионы H<sup>+</sup> концентрируются около 18 MLT, а ионы O<sup>+</sup> – около 24 MLT. Показано, что для ионов O<sup>+</sup> с <italic>E</italic> ~ 1–300 кэВ параметр <italic>β<sub>m</sub></italic> ∝ <italic>L<sub>m</sub></italic><sup>–9</sup>; этот результат свидетельствует, что более глубокое проникновение горячей плазмы в геомагнитную ловушку во время сильных бурь требует не только более сильного электрического поля конвекции, но и значительно более высокой плотности энергии ионов (особенно ионов О<sup>+</sup>) в источниках кольцевого тока.</p></trans-abstract><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Ковтюх А.С. Радиальный профиль давления буревого кольцевого тока как функция Dst // Космические исследования. Т. 48. № 3. С. 218-238. 2010. (Kovtyukh A.S. Radial profile of pressure in a storm ring current as a function of Dst // Cosmic Res. V. 48. № 3. 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