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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">650924</article-id><article-id pub-id-type="doi">10.31857/S0016794024040093</article-id><article-id pub-id-type="edn">RSSHQP</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">Comparative analysis of the propagation of magnetic variations and equivalent current vortices of geomagnetic <italic>Pc5</italic> pulsations along the meridian and azimuth</article-title><trans-title-group xml:lang="ru"><trans-title>Сравнительный анализ распространения магнитных вариаций и эквивалентных токовых вихрей геомагнитных <italic>Pc5</italic> пульсаций по меридиану и азимуту</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Moiseev</surname><given-names>A. V.</given-names></name><name xml:lang="ru"><surname>Моисеев</surname><given-names>А. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>moiseev@ikfia.ysn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Popov</surname><given-names>V. I.</given-names></name><name xml:lang="ru"><surname>Попов</surname><given-names>В. И.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>volts@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Starodubtsev</surname><given-names>S. A.</given-names></name><name xml:lang="ru"><surname>Стародубцев</surname><given-names>С. А.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>starodub@ikfia.ysn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Yu.G. Shafer Institute of Cosmophysical Research and Aeronomy, Siberian Branch of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт космофизических исследований и аэрономии им. Ю.Г. Шафера СО РАН (ИКФИА СО РАН)</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>548</fpage><lpage>566</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/650924">https://journals.eco-vector.com/0016-7940/article/view/650924</self-uri><abstract xml:lang="en"><p>For a number of events, the propagation velocities of geomagnetic <italic>Pc5</italic> pulsations in the azimuthal and meridional directions were analyzed. Two methods were used: by the phase delays of the signal between stations and by the displacement of the vortex centers of their equivalent current systems. The analysis showed that the distribution of pulsations and vortices coincides in direction: along the meridian they predominantly propagate to the north. In most cases, the propagation velocity of pulsations is 5 km/s, and that of vortices is 2 km/s. In azimuth, pulsations and vortices propagate westward, the propagation velocity of pulsations is 10 km/s, and the vortices velocity is 3 km/s. However, in the distribution of azimuthal velocities of both pulsations and vortices there are maxima of comparable magnitude, corresponding to the eastward propagation: pulsations with a velocity of 10 km/s, and vortices with a velocity of 5 km/s. It is concluded that at the ionospheric level, the phase velocities of pulsations measured by us are approximately 2 times greater than the group velocities of the vortices.</p></abstract><trans-abstract xml:lang="ru"><p>Для ряда событий проанализированы скорости распространения геомагнитных <italic>Pc5</italic> пульсаций в азимутальном и меридиональном направлении. Использовано два метода: по фазовым задержкам сигнала между станциями и по смещению центров вихрей их эквивалентных токовых систем. Анализ показал, что распространение пульсаций и вихрей совпадает по направлению ‒ вдоль меридиана они преимущественно распространяются к северу. В большинстве случаев скорость распространения пульсаций составляет 5 км/с, а вихрей ‒ 2 км/с. По азимуту пульсации и вихри распространяются по направлению к западу, скорость распространения пульсаций составляет 10 км/с, а вихрей ‒ 3 км/с. Однако в распределении азимутальных скоростей как пульсаций, так и вихрей есть сравнимые по величине максимумы, соответствующие восточному распространению: пульсаций со скоростью 10 км/с, а вихрей ‒ 5 км/с. Сделан вывод, что на уровне ионосферы измеренные нами фазовые скорости пульсаций примерно в 2 раза больше групповых скоростей вихрей.</p></trans-abstract><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Министерство науки и высшего образования РФ</institution></institution-wrap><institution-wrap><institution xml:lang="en">Ministry of Science and Higher Education of the Russian Federation</institution></institution-wrap></funding-source></award-group></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Клибанова Ю.Ю., Мишин В.В., Цэгмэд Б., Моисеев А.В. Свойства дневных длиннопериодных пульсаций во время начала магнитной бури // Геомагнетизм и аэрономия Т. 56. № 4. C. 457‒471. 2016.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Макаров Г.А., Баишев Д.Г., Соловьев С.И., Пилипенко В.А., Енгебретсон М., Юмото К. Меридиональная скорость распространения магнитного SI в высокоширотной области // Геомагнетизм и аэрономия Т. 41. № 5. С. 604‒609. 2001.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Мишин В. В., Матюхин Ю.Г. Неустойчивость Кельвина-Гельмгольца на магнитопаузе как возможный источник волновой энергии в магнитосфере Земли // Геомагнетизм и аэрономия. Т. 26. № 6. С. 952‒957. 1986.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Хемминг Р.В. Цифровые фильтры. М.: Сов.радио. 224 с. 1980.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Allan W., White S.P., and Poulter E.M. Impulse-excited hydromagnetic cavity and field-line resonances in the magnetosphere // Planet. Space Sci. V. 34. P. 371‒385. 1986. https://doi.org/10.1016/0032-0633(86)90144-3</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Chen L., Hasegawa A. A theory of long-period magnetic pulsations: 1. Steady state excitation of field line resonance // J. Geophys. Res. V. 79(7). P. 1024‒1032. 1974. https://doi.org/10.1029/JA079i007p01024</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Chinkin V.E., Soloviev A.A., Pilipenko V.A. Identification of Vortex Currents in the Ionosphere and Estimation of Their Parameters Based on Ground Magnetic Data // Geomagnetism and Aeronomy. V. 60(5). P. 559‒569. 2020. https://doi.org/10.1134/S0016793220050035</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Friis-Christensen E., Vennerstrom S., McHenry M.A., Clauer C.R. Ionospheric traveling convection vortices observed near the polar cleft-A triggered response to sudden changes in the solar wind // Geophys. Res. Lett. V. 15. P. 253–256. 1988. https://doi.org/10.1029/GL015i003p00253</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Gjerloev J.W. The SuperMAG data processing technique // J. Geophys. Res. V. 117. A09213.2012. https://doi.org/10.1029/2012JA017683</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Hughes W.J., Southwood D.J., Mauk B., McPherron R.L. and Barfield J.N. Alfvén waves generated by an inverted plasma energy distribution // Nature. V. 275. P. 43–45. 1978. https://doi.org/10.1038/275043a0</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Kataoka R., Fukunishi H., Lanzerott L.J., Rosenberg T.J., Weatherwax A.T., Engebretson M.J., Watermann J. Traveling convection vortices induced by solar wind tangential discontinuities // J. Geophys. Res. Space Physics. V. 107 (A12). SMP 22-1-SMP 22-12. 2002. https://doi.org/10.1029/2002JA009459</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Korotova G., Sibeck D., Engebretson M., Balikhin M., Thaller S., Kletzing C., Spence H., and Redmon R. Multipoint observations of compressional Pc 5 pulsations in the dayside magnetosphere and corresponding particle signatures // Ann. Geophys. V. 38. P. 1267–1281. 2020. https://doi.org/10.5194/angeo-38-1267-2020</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>Leonovich A.S., Mishin V.V., and Cao J.B. Penetration of magnetosonic waves into the magnetosphere: influence of a transition layer // Ann. Geophys. V. 21. P. 1083–1093. 2003. https://doi.org/10.5194/angeo-21-1083-2003</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Lühr H., Blawert W. Ground Signatures of Travelling Convection Vortices Solar Wind Sources of Magnetospheric ULF Waves. M.J. Engebretson, et al. (Eds.) // Geophys. Monogr. V. 81, AGU, Washington. P. 231‒251. 1994. https://doi.org/10.1029/GM081p0231</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Makarov G.A., Solovyev S.I., Engebretson M., Yumoto K. Azimuth propagation of geomagnetic sudden pulse in high latitudes at the December 15, 1995 sharp decrease in a solar wind density // Geomagnetism and Aeronomy. V. 42. 1. P. 42–50. 2002.</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>Mishin V.V. Accelerated motions of the magnetopause as a trigger of the Kelvin Helmholtz instability // J. Geophys. Res. V. 98. № 12. P. 21365–21372. 1993. https://doi.org/10.1029/93JA00417</mixed-citation></ref><ref id="B17"><label>17.</label><mixed-citation>Motoba T., Kikuchi T., Lühr H., Tachihara H., Kitamura T.I., Hayash K, et al. Global Pc 5 caused by a DP2-type ionospheric current system // J. Geophys. Res. V. 107. P. 1032–1047. 2002. https://doi.org/10.1029/2001JA900156</mixed-citation></ref><ref id="B18"><label>18.</label><mixed-citation>Mann I.R., Voronkov I., Dunlop M., Donovan E., Yeoman T.K., Milling D.K., Wild J., Kauristie K., Amm O., Bale S.D., Balogh A., Viljanen A., Opgenoorth H.J. Coordinated ground-based and Cluster observations of large amplitude global magnetospheric oscillations during a fast solar wind speed interval // Ann. Geophys.V.20. P. 405‒426. 2002. https://doi.org/10.5194/angeo-20-405-2002</mixed-citation></ref><ref id="B19"><label>19.</label><mixed-citation>Pronin V.E., Zakharov V.I., Pilipenko V.A., Martines-Bedenko V.A., Murr D.L. Response of ionospheric total electron content to convective vortices // Cosmic Res. V. 57. 2. P. 69–78. 2019.</mixed-citation></ref><ref id="B20"><label>20.</label><mixed-citation>Pulkkinen A., Amm O., Viljanen A., and BEAR working group. Separation of the geomagnetic variation field on the ground into external and internal parts using the spherical elementary current system method // Earth Planets Space. V. 55. P. 117–129. 2003. https://doi.org/10.1186/BF03351739</mixed-citation></ref><ref id="B21"><label>21.</label><mixed-citation>Saito T. Long-period irregular magnetic pulsation Pi3 // Space Sci. Rev. V. 21. P. 427–467. 1978. https://doi.org/10.1007/BF00173068</mixed-citation></ref><ref id="B22"><label>22.</label><mixed-citation>Samson J.C., Harrold B.G., Ruohoniemi J.M., Greenwald R.A, Walker A.D.M. Field line resonances associated with MHD waveguides in the magnetosphere // Geophys. Res. Let. V. 19. № 5. P. 441‒444. 1992. https://doi.org/10.1029/92GL00116</mixed-citation></ref><ref id="B23"><label>23.</label><mixed-citation>Southwood D.J. Some features of field line resonances in the magnetosphere // Planet. Space Sci. V. 22. P. 483‒491. 1974.</mixed-citation></ref><ref id="B24"><label>24.</label><mixed-citation>Southwood D.J., Dungey J.W., Etherington R.J. Bounce resonant interaction between pulsations and trapped particles // Planet. Space Sci. V. 17. P. 349‒361. 1969. https://doi.org/10.1016/0032-0633(69)90068-3</mixed-citation></ref><ref id="B25"><label>25.</label><mixed-citation>Vanhamäki H., Juusola L. Introduction to Spherical Elementary Current Systems. // Ionospheric Multi-Spacecraft Analysis Tools. V. 17. P. 5–33. 2020. https://doi.org/10.1007/978-3-030-26732-2_13</mixed-citation></ref><ref id="B26"><label>26.</label><mixed-citation>Vorobiev V.G. Dynamics of Hall vortices in the daytime high-latitude region // Geomagnetism and Aeronomy. V. 33. № 5. P. 58‒68. 1993.</mixed-citation></ref><ref id="B27"><label>27.</label><mixed-citation>Wright A.N. Dispersion and wave coupling in inhomogeneous MHD waveguides // J. Geophys. Res. V. 99. P. 159‒167. 1994. https://doi.org/10.1029/93JA02206</mixed-citation></ref><ref id="B28"><label>28.</label><mixed-citation>Yeoman T.K., Tian M., Lester M., Jones T.B. A study of Pc 5 hydromagnetic waves with equatorward phase propagation // Planet. Space Sci. V. 40. P. 797–810. 1992. https://doi.org/10.1016/0032-0633(92)90108-Z</mixed-citation></ref><ref id="B29"><label>29.</label><mixed-citation>Zhao H., Liu Y., Zong Q., Yang H., Hu Z., Zhou X., Sun J. Poleward-Moving Black Aurora Associated with Impulse-Excited Field-Line Resonances in the Dawnside Sector: THEMIS and Ground Observations // Universe. 9(6), 250 2023. https://doi.org/10.3390/universe9060250</mixed-citation></ref><ref id="B30"><label>30.</label><mixed-citation>Zesta E., Hughes W. J., Engebretson M. J. A statistical study of traveling convection vortices using the Magnetometer Array for Cusp and Cleft Studies // J. Geophys. Res. V. 107. P. 18.1‒18.21. 2002. https://doi.org/10.1029/1999JA000386</mixed-citation></ref><ref id="B31"><label>31.</label><mixed-citation>SuperMAG Web Service API. http://supermag.jhuapl.edu/mag.</mixed-citation></ref><ref id="B32"><label>32.</label><mixed-citation>Coordinated Data Analysis Web (CDAWeb). http://cdaweb.gsfc.nasa.gov.</mixed-citation></ref><ref id="B33"><label>33.</label><mixed-citation>Vanhamäki and Juusola 2020.Program code as supplementary material to the paper https://link.springer.com/chapter/10.1007/978-3-030-26732-2_2#Sec18</mixed-citation></ref></ref-list></back></article>
