<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<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" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Солнечно-земная физика / Solnechno-Zemnaya Fizika / Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2712-9640</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">21934</article-id>
   <article-id pub-id-type="doi">10.12737/szf-52201913</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Результаты  исследований</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Результаты  исследований</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Diagnostics of auroral oval boundaries on the basis of the magnetogram inversion technique</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Диагностика границ аврорального овала на основе техники инверсии магнитограмм</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Лунюшкин</surname>
       <given-names>Сергей Брониславович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Lunyushkin</surname>
       <given-names>Sergey Bronislavovich</given-names>
      </name>
     </name-alternatives>
     <email>lunyushkin@iszf.irk.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Пенских</surname>
       <given-names>Юрий Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Penskikh</surname>
       <given-names>Yury Vladimirovich</given-names>
      </name>
     </name-alternatives>
     <email>penskikh@iszf.irk.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>5</volume>
   <issue>2</issue>
   <fpage>97</fpage>
   <lpage>113</lpage>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/21934/view">https://zh-szf.ru/en/nauka/article/21934/view</self-uri>
   <abstract xml:lang="ru">
    <p>Показано, что граница обращения ионосферной конвекции является фундаментальным параметром магнитосферно-ионосферной связи, определяющим сильную аналогию между электростатическим потенциалом ионосферы и эквивалентной токовой функцией в приближении дипольного геомагнитного поля и однородной проводимости ионосферы. Разработан новый наземный метод автоматической диагностики границ аврорального овала по выходным данным техники инверсии магнитограмм (ТИМ). На основе карт распределений токовой функции и продольных токов, рассчитанных на первом этапе ТИМ при однородной проводимости ионосферы, определяются граница обращения ионосферной конвекции, граница полярной шапки, экваториальная граница аврорального овала и линия максимумов плотности авроральных электроструй. Указанные параметры ранее определялись визуально-ручным методом: анализом карт продольных и эквивалентных токов на экране монитора и проведением заданных границ с помощью мыши, что занимало очень много времени (недели и месяцы). Сравнение границ, полученных старым ручным и новым автоматическим методами, показало, что коэффициент корреляции между двумя границами составляет в среднем 0.85, а среднеквадратичное отклонение не превышает 2° по широте. Обеспечивая достаточную точность определения границ, автоматический метод сокращает время обработки необходимых объемов данных на два-три порядка (до минут и часов), освобождая исследователя от трудоемкой визуальной работы. Новый метод реализован как один из важных блоков модернизированного комплекса программ ТИМ.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>It is shown that the convection reversal boundary is a fundamental parameter of the magnetosphere-ionosphere coupling, which determines a strong analogy between the electrostatic potential of the ionosphere and the equivalent current function in the dipole geomagnetic field approximation and the uniform ionospheric conductance. We have developed a new ground-based method for automatically diagnosing boundaries of the auroral oval using output data obtained with the magnetogram inversion technique (MIT). Using maps of the current function and field-aligned currents, calculated at the first stage of MIT with uniform ionospheric conductance, we determine the convection reversal boundary, polar cap boundary, equatorial boundary of the auroral oval, and line of maximum density of auroral electrojets. These parameters have previously been determined by a visual-manual method: analyzing maps of field-aligned and equivalent currents on the monitor screen and carrying out predetermined boundaries with the mouse — this took a very long time (weeks and months). The comparison between manually and automatically obtained boundaries has shown that the correlation coefficient between the two boundaries is, on average, 0.85, and the root-mean-square deviation does not exceed 2° in latitude. By providing an adequate accuracy for the boundary determination, the automatic method reduces the time for map processing by a factor of 2–3 (to minutes and hours), releasing a researcher from laborious visual work. The new method is implemented as one of the important modules in the updated MIT software.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>ионосферная конвекция</kwd>
    <kwd>эквивалентная токовая функция</kwd>
    <kwd>авроральный овал</kwd>
    <kwd>полярная шапка</kwd>
    <kwd>продольные токи</kwd>
    <kwd>граница обращения конвекции</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>ionospheric convection</kwd>
    <kwd>equivalent current function</kwd>
    <kwd>auroral oval</kwd>
    <kwd>polar cap</kwd>
    <kwd>field-aligned currents</kwd>
    <kwd>convection reversal boundary</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Базаржапов А.Д., Матвеев М.И., Мишин В.М. Геомагнитные вариации и бури. Новосибирск. Наука, 1979. 248 с.</mixed-citation>
     <mixed-citation xml:lang="en">Akasofu S.I. Polar and Magnetospheric Substorms. Dordrecht, Holland, Springer Netherlands, 1968, 280 p. DOI: 10.1007/978-94-010-3461-6.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Лазутин Л.Л. Овал полярных сияний - прекрасная, но устаревшая парадигма // Солнечно-земная физика. 2015. Т. 1, № 1, С. 23-35. DOI: 10.12737/5673.</mixed-citation>
     <mixed-citation xml:lang="en">Akasofu S.I. Physics of Magnetospheric Substorms. Dordrecht, Holland, Springer Netherlands, 1977, 617 p. DOI: 10.1007/978-94-010-1164-8_1.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Матвеев М.И., Шпынев Г.Б. Определение электрических полей и продольных токов в магнитосфере по данным геомагнитных возмущений (высокоширотная область) // Исследования по геомагнетизму, аэрономии и физике Солнца. 1975. Вып. 36. С. 34-39.</mixed-citation>
     <mixed-citation xml:lang="en">Alfvén H. Cosmic plasma. Dordrecht, Holland, Springer Netherlands, 1981, 168 p. DOI: 10.1007/978-94-009-8374-8.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Мишин В.М., Шпынев Г.Б., Базаржапов А.Д., Шира-пов Д.Ш. Электрическое поле и токи в неоднородно-проводящей высокоширотной ионосфере // Исследования по геомагнетизму, аэрономии и физике Солнца. 1981. Вып. 53. С. 116-133.</mixed-citation>
     <mixed-citation xml:lang="en">Axford W.I., Hines C.O. A Unifying theory of high-latitude geophysical phenomena and geomagnetic storms. Can. J. Phys. 1961, vol. 39, no. 10, pp. 1433-1464. DOI: 10.1139/p61-172.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ширапов Д.Ш., Мишин В.М., Базаржапов А.Д., Сайфудинова Т.И. Адаптированная динамическая модель проводимости ионосферы // Геомагнетизм и аэрономия. 2000. Т. 40, № 4. С. 471-475.</mixed-citation>
     <mixed-citation xml:lang="en">Baker D.N., Peterson W.K., Eriksson S., Li X., Blake J.B., Burch J.L., Daly P.W., Dunlop M.W., Korth A., Donovan E., Friedel R., Fritz T.A., Frey H.U., Mende S.B., Roeder J., Singer H.J. Timing of magnetic reconnection initiation during a global magnetospheric substorm onset. Geophys. Res. Lett. 2002, vol. 29, no. 24, pp. 2190. DOI: 10.1029/2002GL015539.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Akasofu S.I. Polar and Magnetospheric Substorms. Dordrecht, Holland, Springer Netherlands, 1968. 280 p. DOI: 10.1007/978-94-010-3461-6.</mixed-citation>
     <mixed-citation xml:lang="en">Bazarzhapov A.D., Mishin V.M., Shpynev G.B. A mathe-matical analysis of geomagnetic variation fields. Gerlands Beitr. Geophysik. 1976, vol. 85, no. 1, pp. 76-82.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Akasofu S.I. Physics of Magnetospheric Substorms. Dordrecht, Holland, Springer Netherlands, 1977. 617 p. DOI: 10.1007/978-94-010-1164-8_1.</mixed-citation>
     <mixed-citation xml:lang="en">Bazarzhapov A.D., Matveev M.I., Mishin V.M. Geomagnitnye variatsii i buri [Geomagnetic Variations and Storms]. Novosibirsk, Nauka Publ. 1979, 248 p. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Alfvén H. Cosmic plasma. Dordrecht, Holland, Springer Netherlands, 1981, 168 p. DOI: 10.1007/978-94-009-8374-8.</mixed-citation>
     <mixed-citation xml:lang="en">Boakes P.D., Milan S.E., Abel G.A., Freeman M.P., Chisham G., Hubert B., Sotirelis T. On the use of IMAGE FUV for estimating the latitude of the open/closed magnetic field line boundary in the ionosphere. Ann. Geophys. 2008, vol. 26, no. 9, pp. 2759-2769. DOI: 10.5194/angeo-26-2759-2008.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Axford W.I., Hines C.O. A Unifying Theory of High-Latitude Geophysical Phenomena and Geomagnetic Storms // Can. J. Phys. 1961. V. 39, N 10. P. 1433-1464. DOI: 10.1139/p61-172.</mixed-citation>
     <mixed-citation xml:lang="en">Boström R. Ionosphere-magnetosphere coupling. Mag-netospheric Physics. Ed. by B.M. McCormac. D. Reidel Publishing Company, Dordrecht-Holland, 1974, pp. 45-59.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Baker D.N., Peterson W.K., Eriksson S., et al. Timing of magnetic reconnection initiation during a global magnetospheric substorm onset // Geophys. Res. Lett. 2002. V. 29, N 24. P. 2190. DOI: 10.1029/2002GL015539.</mixed-citation>
     <mixed-citation xml:lang="en">Bristow W.A., Spaleta J. An investigation of the characteristics of the convection reversal boundary under southward interplanetary magnetic field. J. Geophys. Res.: Space Phys. 2013, vol. 118, no. 10, pp. 6338-6351. DOI: 10.1002/ jgra.50526.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bazarzhapov A.D., Mishin V.M., Shpynev G.B. A Mathe-matical Analysis of Geomagnetic Variation Fields // Gerlands Beitr. Geophys. 1976. V. 85, N 1. P. 76-82.</mixed-citation>
     <mixed-citation xml:lang="en">Chapman S., Bartels J. Geomagnetism. Vol. 2. Great Britain, Oxford University Press, 1940, 520 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Boakes P.D., Milan S.E., Abel G.A., et al. On the use of IMAGE FUV for estimating the latitude of the open/closed magnetic field line boundary in the ionosphere // Ann. Geophys. 2008. V 26, N 9. P. 2759-2769. DOI: 10.5194/angeo-26-2759-2008.</mixed-citation>
     <mixed-citation xml:lang="en">Chen Y.J., Heelis R.A., Cumnock J.A. Response of the ionospheric convection reversal boundary at high latitudes to changes in the interplanetary magnetic field. J. Geophys. Res.: Space Phys. 2015, vol. 120, no. 6, pp. 5022-5034. DOI: 10.1002/ 2015ja021024.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Boström R. Ionosphere-magnetosphere coupling // Magnetospheric Physics. Ed. by B.M. McCormac. D. Reidel Publishing Company, Dordrecht-Holland, 1974. P. 45-59.</mixed-citation>
     <mixed-citation xml:lang="en">Drake K.A., Heelis R.A., Hairston M.R., Anderson P.C. Electrostatic potential drop across the ionospheric signature of the low-latitude boundary layer. J. Geophys. Res. 2009, vol. 114, no. A4. DOI: 10.1029/2008ja013608.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bristow W.A., Spaleta J. An investigation of the characteristics of the convection reversal boundary under southward interplanetary magnetic field // J. Geophys. Res.: Space Phys. 2013. V. 118, N 10. P. 6338-6351. DOI: 10.1002/ jgra.50526.</mixed-citation>
     <mixed-citation xml:lang="en">Dungey J.W. Interplanetary magnetic field and the auroral zones. Phys. Rev. Lett. 1961, vol. 6, no. 2, pp. 47-48. DOI: 10.1103/PhysRevLett.6.47.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chapman S., Bartels J. Geomagnetism. V. 2. Great Britain, Oxford University Press, 1940. 520 p.</mixed-citation>
     <mixed-citation xml:lang="en">Feldstein Y.I. Polar auroras, polar substorms, and their relationships with the dynamics of the magnetosphere. Rev. Geophys. 1969, vol. 7, no. 1-2, pp. 179-218. DOI: 10.1029/RG 007i001p00179.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chen Y.J., Heelis R.A., Cumnock J.A. Response of the ionospheric convection reversal boundary at high latitudes to changes in the interplanetary magnetic field // J. Geophys. Res.: Space Phys. 2015. V. 120, N 6. P. 5022-5034. DOI: 10.1002/2015ja021024.</mixed-citation>
     <mixed-citation xml:lang="en">Feldstein Y.I. The discovery and the first studies of the auroral oval: A review. Geomagnetism and Aeronomy. 2016, vol. 56, no. 2, pp. 129-142. DOI: 10.1134/s0016793216020043.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Drake K.A., Heelis R.A., Hairston M.R., Anderson P.C. Electrostatic potential drop across the ionospheric signature of the low-latitude boundary layer // J. Geophys. Res. 2009. V. 114, N A4. DOI: 10.1029/2008ja013608.</mixed-citation>
     <mixed-citation xml:lang="en">Feldstein Y.I., Starkov G.V. Dynamics of auroral belt and polar geomagnetic disturbances. Planet. Space Sci. 1967, vol. 15, no. 2, pp. 209-229. DOI: 10.1016/0032-0633(67)90190-0.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Dungey J.W. Interplanetary magnetic field and the auroral zones // Phys. Rev. Lett. 1961. V. 6, N 2. P. 47-48. DOI: 10.1103/PhysRevLett.6.47.</mixed-citation>
     <mixed-citation xml:lang="en">Fukushima N. Generalized theorem for no ground magnetic effect of vertical currents connected with Pedersen currents in the uniform-conductivity ionosphere. Report of Ionosphere and Space Research in Japan. 1976, vol. 30, no. 1-2, pp. 35-40.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Feldstein Y.I. Polar auroras, polar substorms, and their relationships with the dynamics of the magnetosphere // Rev. Geophys. 1969. V. 7, N 1-2. P. 179-218. DOI: 10.1029/RG007 i001p00179.</mixed-citation>
     <mixed-citation xml:lang="en">Gjerloev J.W. The SuperMAG data processing technique. J. Geophys. Res. 2012, vol. 117, no. A9, pp. A09213. DOI: 10.1029/ 2012ja017683.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Feldstein Y.I. The discovery and the first studies of the auroral oval: A review // Geomagnetism and Aeronomy.2016. V. 56, N 2. P. 129-142. DOI: 10.1134/s0016793216020043.</mixed-citation>
     <mixed-citation xml:lang="en">Gussenhoven M.S., Hardy D.A., Heinemann N. Systematics of the equatorward diffuse auroral boundary. J. Geophys. Res. 1983, vol. 88, no. A7, pp. 5692-5708. DOI: 10.1029/JA088iA07p05692.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Feldstein Y.I., Starkov G.V. Dynamics of auroral belt and polar geomagnetic disturbances // Planet. Space Sci. 1967. V. 15, N 2. P. 209-229. DOI: 10.1016/0032-0633(67)90190-0.</mixed-citation>
     <mixed-citation xml:lang="en">Haaland S., Lybekk B., Maes L., Laundal K., Pedersen A., Tenfjord P., Ohma A., Østgaard N., Reistad J., Snekvik K. North-south asymmetries in cold plasma density in the magnetotail lobes: Cluster observations. J. Geophys. Res.: Space Phys. 2017, vol. 122, no. 1, pp. 136-149. DOI: 10.1002/2016ja023404.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fukushima N. Generalized theorem for no ground magnetic effect of vertical currents connected with Pedersen currents in the uniform-conductivity ionosphere // Report of Ionosphere and Space Research in Japan. 1976. V. 30, N 1-2. P. 35-40.</mixed-citation>
     <mixed-citation xml:lang="en">Haines G.V., Torta J.M. Determination of equivalent current sources from spherical cap harmonic models of geomagnetic field variations. Geophys. J. Int. 1994, vol. 118, no. 3, pp. 499-514. DOI: 10.1111/j.1365-246X.1994.tb03981.x.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gjerloev J.W. The SuperMAG data processing technique // J. Geophys. Res. 2012. V. 117, N A9. P. A09213. DOI: 10.1029/ 2012ja017683.</mixed-citation>
     <mixed-citation xml:lang="en">Harang L. The mean field of disturbance of polar geomagnetic storms. Terr. Magn. Atmos. Electr. 1946, vol. 51, no. 3, pp. 353-380. DOI: 10.1029/TE051i003p00353.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gussenhoven M.S., Hardy D.A., Heinemann N. Systematics of the equatorward diffuse auroral boundary // J. Geophys. Res. 1983. V. 88, N A7. P. 5692-5708. DOI: 10.1029/JA088iA07 p05692.</mixed-citation>
     <mixed-citation xml:lang="en">Heikkila W.J. Earth’s Magnetosphere: Formed by the Low-Latitude Boundary Layer. Amsterdam, Elsevier Science, 2011, 536 p. DOI: 10.1016/B978-0-444-52864-3.10012-7.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Haaland S., Lybekk B., Maes L., et al. North-south asymmetries in cold plasma density in the magnetotail lobes: Cluster observations // J. Geophys. Res.: Space Phys. 2017. V. 122, N 1. P. 136-149. DOI: 10.1002/2016ja023404.</mixed-citation>
     <mixed-citation xml:lang="en">Heppner J.P. Electric field variations during substorms: OGO-6 measurements. Planet. Space Sci. 1972, vol. 20, no. 9, pp. 1475-1498. DOI: 10.1016/0032-0633(72)90052-9.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Haines G.V., Torta J.M. Determination of equivalent current sources from spherical cap harmonic models of geomagnetic field variations // Geophys. J. Int. 1994. V. 118, N 3. P. 499-514. DOI: 10.1111/j.1365-246X.1994.tb03981.x.</mixed-citation>
     <mixed-citation xml:lang="en">Hubert B., Aikio A.T., Amm O., Pitkänen T., Kauristie K., Milan S.E., Cowley S.W.H., Gérard J.C. Comparison of the open-closed field line boundary location inferred using IMAGE-FUV SI12 images and EISCAT radar observations. Ann. Geophys. 2010, vol. 28, no. 4, pp. 883-892. DOI: 10.5194/angeo-28-883-2010.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Harang L. The mean field of disturbance of polar geomagnetic storms // Terr. Magn. Atmos. Electr. 1946. V. 51, N 3. P. 353-380. DOI: 10.1029/TE051i003p00353.</mixed-citation>
     <mixed-citation xml:lang="en">Iijima T., Potemra T.A. Large-scale characteristics of field-aligned currents associated with substorms. J. Geophys. Res. 1978, vol. 83, no. A2, pp. 599-615. DOI: 10.1029/JA083i A02p00599.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Heikkila W.J. Earth’s Magnetosphere: Formed by the Low-Latitude Boundary Layer. Amsterdam, Elsevier Science, 2011. 536 p. DOI: 10.1016/B978-0-444-52864-3.10012-7.</mixed-citation>
     <mixed-citation xml:lang="en">Kamide Y., Matsushita S. Simulation studies of ionospheric electric fields and currents in relation to field-aligned currents. 1. Quiet periods. J. Geophys. Res. 1979, vol. 84, no. A8, pp. 4083-4098. DOI: 10.1029/JA084iA08p04083.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Heppner J.P. Electric field variations during substorms: OGO-6 measurements // Planet. Space Sci. 1972. V. 20, N 9. P. 1475-1498. DOI: 10.1016/0032-0633(72)90052-9.</mixed-citation>
     <mixed-citation xml:lang="en">Kamide Y., Richmond A.D. Ionospheric conductivity dependence of electric fields and currents estimated from ground magnetic observations. J. Geophys. Res. 1982, vol. 87, no. A10, pp. 8331-8337. DOI: 10.1029/JA087iA10p08331.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hubert B., Aikio A.T., Amm O., et al. Comparison of the open-closed field line boundary location inferred using IMAGE-FUV SI12 images and EISCAT radar observations // Ann. Geophys. 2010. V. 28, N 4. P. 883-892. DOI: 10.5194/angeo-28-883-2010.</mixed-citation>
     <mixed-citation xml:lang="en">Kamide Y., Baumjohann W. Magnetosphere-ionosphere coupling. Berlin, Springer Berlin Heidelberg, 1993, 178 p. DOI: 10.1007/978-3-642-50062-6.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Iijima T., Potemra T.A. Large-scale characteristics of field-aligned currents associated with substorms // J. Geophys. Res. 1978. V. 83, N A2. P. 599-615. DOI: 10.1029/JA083iA02p 00599.</mixed-citation>
     <mixed-citation xml:lang="en">Kern J.W. Analysis of Polar Magnetic Storms. J. Geomag. Geoelectr. 1966, vol. 18, no. 2, pp. 125-131. DOI: 10.5636/jgg. 18.125.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B32">
    <label>32.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kamide Y., Matsushita S. Simulation studies of ionospheric electric fields and currents in relation to field-aligned currents. 1. Quiet periods // J. Geophys. Res. 1979. V. 84, N A8. P. 4083-4098. DOI: 10.1029/JA084iA08p04083.</mixed-citation>
     <mixed-citation xml:lang="en">Koustov A.V., Fiori R.A.D. Seasonal and solar cycle variations in the ionospheric convection reversal boundary location inferred from monthly SuperDARN data sets. Ann. Geophys. 2016, vol. 34, no. 2, pp. 227-239. DOI: 10.5194/angeo-34-227-2016.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B33">
    <label>33.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kamide Y., Richmond A.D. Ionospheric conductivity dependence of electric fields and currents estimated from ground magnetic observations // J. Geophys. Res. 1982. V. 87, N A10. P. 8331-8337. DOI: 10.1029/JA087iA10p08331.</mixed-citation>
     <mixed-citation xml:lang="en">Laundal K.M., Haaland S.E., Lehtinen N., Gjerloev J.W., Østgaard N., Tenfjord P., Reistad J.P., Snekvik K., Milan S.E., Ohtani S., Anderson B.J. Birkeland current effects on high-latitude ground magnetic field perturbations. Geophys. Res. Lett. 2015, vol. 42, no. 18, pp. 7248-7254. DOI: 10.1002/ 2015gl065776.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B34">
    <label>34.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kamide Y., Baumjohann W. Magnetosphere-ionosphere coupling. Berlin, Springer Berlin Heidelberg, 1993. 178 p. DOI: 10.1007/978-3-642-50062-6.</mixed-citation>
     <mixed-citation xml:lang="en">Lazutin L.L. Auroral oval as a beautiful but outdated paradigm. Solnechno-zemnaya fizika [Solar-Terrestrial Phys.]. 2015, vol. 1, no. 1, pp. 23-35. DOI: 10.12737/5673. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B35">
    <label>35.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kern J.W. Analysis of Polar Magnetic Storms // J. Geomag. Geoelectr. 1966. V. 18, N 2. P. 125-131. DOI: 10.5636/jgg.18.125.</mixed-citation>
     <mixed-citation xml:lang="en">Longden N., Chisham G., Freeman M.P., Abel G.A., Sotirelis T. Estimating the location of the open-closed magnetic field line boundary from auroral images. Ann. Geophys. 2010, vol. 28, no. 9, pp. 1659-1678. DOI: 10.5194/ angeo-28-1659-2010.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B36">
    <label>36.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Koustov A.V., Fiori R.A.D. Seasonal and solar cycle variations in the ionospheric convection reversal boundary location inferred from monthly SuperDARN data sets // Ann. Geophys. 2016. V. 34, N 2. P. 227-239. DOI: 10.5194/angeo-34-227-2016.</mixed-citation>
     <mixed-citation xml:lang="en">Makita K., Meng C.I., Akasofu S.I. The shift of the auroral electron precipitation boundaries in the dawn-dusk sector in association with geomagnetic activity and interplanetary magnetic field. J. Geophys. Res. 1983, vol. 88, no. A10, pp. 7967-7981. DOI: 10.1029/JA088iA10p07967.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B37">
    <label>37.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Laundal K.M., Haaland S.E., Lehtinen N., et al. Birkeland current effects on high-latitude ground magnetic field perturbations // Geophys. Res. Lett. 2015. V. 42, N 18. P. 7248-7254. DOI: 10.1002/2015gl065776.</mixed-citation>
     <mixed-citation xml:lang="en">Makita K., Meng C.I., Akasofu S.I. Temporal and spatial variations of the polar cap dimension inferred from the precipitation boundaries. J. Geophys. Res. 1985, vol. 90, no. A3, pp. 2744-2752. DOI: 10.1029/JA090iA03p02744.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B38">
    <label>38.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Longden N., Chisham G., Freeman M.P., et al. Estimating the location of the open-closed magnetic field line boundary from auroral images // Ann. Geophys. 2010. V. 28, N 9. P. 1659-1678. DOI: 10.5194/angeo-28-1659-2010.</mixed-citation>
     <mixed-citation xml:lang="en">Matveev M.I., Shpynev G.B. Determination of electric fields and field-aligned currents in the magnetosphere on data of geomagnetic variations (high-latitude region). Issledovaniya po geomagnetizmu, aeronomii i fizike Solntsa [Research on Geomagnetism, Aeronomy and Solar Physics]. 1975, no. 36, pp. 34-39. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B39">
    <label>39.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Makita K., Meng C.I., Akasofu S.I. The shift of the auroral electron precipitation boundaries in the dawn-dusk sector in association with geomagnetic activity and interplanetary magnetic field // J. Geophys. Res. 1983. V. 88, N A10. P. 7967-7981. DOI: 10.1029/JA088iA10p07967.</mixed-citation>
     <mixed-citation xml:lang="en">Milan S.E., Provan G., Hubert B. Magnetic flux transport in the Dungey cycle: A survey of dayside and nightside reconnection rates. J. Geophys. Res. 2007, vol. 112, no. A1, pp. A01209. DOI: 10.1029/2006ja011642.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B40">
    <label>40.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Makita K., Meng C.I., Akasofu S.I. Temporal and spatial variations of the polar cap dimension inferred from the precipitation boundaries // J. Geophys. Res. 1985. V. 90, N A3. P. 2744-2752. DOI: 10.1029/JA090iA03p02744.</mixed-citation>
     <mixed-citation xml:lang="en">Milan S.E., Evans T.A., Hubert B. Average auroral configuration parameterized by geomagnetic activity and solar wind conditions. Ann. Geophys. 2010, vol. 28, no. 4, pp. 1003-1012. DOI: 10.5194/angeo-28-1003-2010.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B41">
    <label>41.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Milan S.E., Provan G., Hubert B. Magnetic flux transport in the Dungey cycle: A survey of dayside and nightside reconnection rates // J. Geophys. Res. 2007. V. 112, N A1. P. A01209. DOI: 10.1029/2006ja011642.</mixed-citation>
     <mixed-citation xml:lang="en">Mishin V.M. The magnetogram inversion technique and some applications. Space Sci Rev. 1990, vol. 53, no. 1-2, pp. 83-163. DOI: 10.1007/bf00217429.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B42">
    <label>42.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Milan S.E., Evans T.A., Hubert B. Average auroral configuration parameterized by geomagnetic activity and solar wind conditions // Ann. Geophys. 2010. V. 28, N 4. P. 1003-1012. DOI: 10.5194/angeo-28-1003-2010.</mixed-citation>
     <mixed-citation xml:lang="en">Mishin V.M., Shpynev G.B., Bazarshapov A.D., Shirapov D.S. Electric field and currents in the nonuniformly-conductive high-latitude ionosphere. Issledovaniya po geomagnetizmu, aeronomii i fizike Solntsa [Research on Geomagnetism, Aeronomy and Solar Physics]. 1981, no. 53, pp. 116-133. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B43">
    <label>43.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mishin V.M. The magnetogram inversion technique and some applications // Space Sci Rev. 1990. V. 53, N 1-2. P. 83-163. DOI: 10.1007/bf00217429.</mixed-citation>
     <mixed-citation xml:lang="en">Mishin V.M., Lunyushkin S.B., Shirapov D.S., Baumjohann W. A new method for generating instantaneous ionospheric conductivity models using ground-based magnetic data. Planet. Space Sci. 1986, vol. 34, no. 8, pp. 713-722. DOI: 10.1016/0032-0633(86)90125-x.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B44">
    <label>44.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mishin V.M., Lunyushkin S.B., Shirapov D.S., Baumjohann W. A new method for generating instantaneous ionospheric conductivity models using ground-based magnetic data // Planet. Space Sci. 1986. V. 34, N 8. P. 713-722. DOI: 10.1016/0032-0633(86)90125-x.</mixed-citation>
     <mixed-citation xml:lang="en">Mishin V.M., Mishin V.V., Lunyushkin S.B., Wang J.Y., Moiseev A.V. 27 August 2001 substorm: Preonset phenomena, two main onsets, field-aligned current systems, and plasma flow channels in the ionosphere and in the magnetosphere. J. Geophys. Res.: Space Phys. 2017, vol. 122, no. 5, pp. 4988-5007. DOI: 10.1002/2017ja023915.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B45">
    <label>45.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mishin V.M., Mishin V.V., Lunyushkin S.B., et al. 27 August 2001 substorm: Preonset phenomena, two main onsets, field-aligned current systems, and plasma flow channels in the ionosphere and in the magnetosphere // J. Geophys. Res.: Space Phys. 2017. V. 122, N 5. P. 4988-5007. DOI: 10.1002/2017 ja023915.</mixed-citation>
     <mixed-citation xml:lang="en">Newell P.T., Liou K., Zhang Y., Sotirelis T., Paxton L.J., Mitchell E.J. OVATION Prime-2013: Extension of auroral precipitation model to higher disturbance levels. Space Weather. 2014, vol. 12, no. 6, pp. 368-379. DOI: 10.1002/2014sw001056.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B46">
    <label>46.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Newell P.T., Liou K., Zhang Y., et al. OVATION Prime-2013: Extension of auroral precipitation model to higher disturbance levels // Space Weather. 2014. V. 12, N 6. P. 368-379. DOI: 10.1002/2014sw001056.</mixed-citation>
     <mixed-citation xml:lang="en">Reiff P.H. Models of auroral-zone conductances. Magnetospheric Currents. Ed. by T.A. Potemra, Washington, DC, AGU, 1984, pp. 180-191. DOI: 10.1029/GM028p0180.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B47">
    <label>47.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Reiff P.H. Models of auroral-zone conductances // Magnetospheric Currents. Ed. by T.A. Potemra, Washington, DC, AGU, 1984. P. 180-191. DOI: 10.1029/GM028p0180.</mixed-citation>
     <mixed-citation xml:lang="en">Russell C.T., McPherron R.L. The magnetotail and substorms. Space Sci Rev. 1973, vol. 15, no. 2-3, pp. 205-266. DOI: 10.1007/bf00169321.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B48">
    <label>48.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Russell C.T., McPherron R.L. The magnetotail and substorms // Space Sci Rev. 1973. V. 15, N 2-3. P. 205-266. DOI: 10.1007/bf00169321.</mixed-citation>
     <mixed-citation xml:lang="en">Shirapov D.S., Mishin V.M., Bazarzhapov A.D., Saifudinova T.I. Adapted dynamic model of ionospheric conductivity. Geomagnetism and Aeronomy. 2000, vol. 40, no. 4, pp. 471-475.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B49">
    <label>49.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shukhtina M.A., Gordeev E.I., Sergeev V.A., et al. Magnetotail magnetic flux monitoring based on simultaneous solar wind and magnetotail observations // J. Geophys. Res.: Space Phys. 2016. V. 121, N 9. P. 8821-8839. DOI: 10.1002/ 2016ja022911.</mixed-citation>
     <mixed-citation xml:lang="en">Shukhtina M.A., Gordeev E.I., Sergeev V.A., Tsyganenko N.A., Clausen L.B.N., Milan S.E. Magnetotail magnetic flux monitoring based on simultaneous solar wind and magnetotail observations. J. Geophys. Res.: Space Phys. 2016, vol. 121, no. 9, pp. 8821-8839. DOI: 10.1002/2016ja022911.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B50">
    <label>50.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sotirelis T., Newell P.T. Boundary-oriented electron precipitation model // J. Geophys. Res. 2000. V. 105, N A8. P. 18655-18673. DOI: 10.1029/1999ja000269.</mixed-citation>
     <mixed-citation xml:lang="en">Sotirelis T., Newell P.T. Boundary-oriented electron precipitation model. J. Geophys. Res. 2000, vol. 105, no. A8, pp. 18655-18673. DOI: 10.1029/1999ja000269.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B51">
    <label>51.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sugiura M. A fundamental magnetosphere-ionosphere coupling mode involving field-aligned currents as deduced from DE-2 observations // Geophys. Res. Lett. 1984. V. 11, N 9. P. 877-880. DOI: 10.1029/GL011i009p00877.</mixed-citation>
     <mixed-citation xml:lang="en">Sugiura M. A fundamental magnetosphere-ionosphere coupling mode involving field-aligned currents as deduced from DE-2 observations. Geophys. Res. Lett. 1984, vol. 11, no. 9, pp. 877-880. DOI: 10.1029/GL011i009p00877.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B52">
    <label>52.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sun W., Lee L.C., Kamide Y., Akasofu S.I. An improvement of the Kamide-Richmond-Matsushita scheme for the estimation of the three-dimensional current system // J. Geophys. Res. 1985. V. 90, N A7. P. 6469-6474. DOI: 10.1029/JA090 iA07p06469.</mixed-citation>
     <mixed-citation xml:lang="en">Sun W., Lee L.C., Kamide Y., Akasofu S.I. An improve-ment of the Kamide-Richmond-Matsushita scheme for the estimation of the three-dimensional current system. J. Geophys. Res. 1985, vol. 90, no. A7, pp. 6469-6474. DOI: 10.1029/ JA090iA07p06469.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B53">
    <label>53.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Troshichev O.A., Shishkina E.M., Lu G., Richmond A.D. Relationship of the ionospheric convection reversal to the hard auroral precipitation boundary // J. Geophys. Res. 1996. V. 101. N A7. P. 15423-15432. DOI: 10.1029/96ja01192.</mixed-citation>
     <mixed-citation xml:lang="en">Troshichev O.A., Shishkina E.M., Lu G., Richmond A.D. Relationship of the ionospheric convection reversal to the hard auroral precipitation boundary. J. Geophys. Res. 1996, vol. 101, no. A7, pp. 15423-15432. DOI: 10.1029/96ja01192.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B54">
    <label>54.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Vasyliūnas V.M. Mathematical Models of Magnetospheric Convection and its Coupling to the Ionosphere // Particles and Fields in the Magnetosphere. Ed. by B.M. McCormac, Springer Netherlands, 1970. P. 60-71. DOI: 10.1007/978-94-010-3284-1_6.</mixed-citation>
     <mixed-citation xml:lang="en">Vasyliūnas V.M. Mathematical Models of Magnetospheric Convection and its Coupling to the Ionosphere. Particles and Fields in the Magnetosphere. Ed. by B.M. McCormac, Springer Netherlands, 1970, pp. 60-71. DOI: 10.1007/978-94-010-3284-1_6.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B55">
    <label>55.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Vorobjev V.G., Yagodkina O.I., Katkalov Y.V. Auroral Precipitation Model and its applications to ionospheric and magnetospheric studies // J. Atmos. Solar. Terr. Phys. 2013. V. 102, P. 157-171. DOI: 10.1016/j.jastp.2013.05.007.</mixed-citation>
     <mixed-citation xml:lang="en">Vorobjev V.G., Yagodkina O.I., Katkalov Y.V. Auroral Precipitation Model and its applications to ionospheric and magnetospheric studies. J. Atmos. Solar- Terr. Phys. 2013, vol. 102, pp. 157-171. DOI: 10.1016/j.jastp.2013.05.007.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B56">
    <label>56.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Winningham J.D., Heikkila W.J. Polar cap auroral electron fluxes observed with Isis 1 // J. Geophys. Res. 1974. V. 79, N 7. P. 949-957. DOI: 10.1029/JA079i007p00949.</mixed-citation>
     <mixed-citation xml:lang="en">Winningham J.D., Heikkila W.J. Polar cap auroral electron fluxes observed with Isis 1. J. Geophys. Res. 1974, vol. 79, no. 7, pp. 949-957. DOI: 10.1029/JA079i007p00949.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B57">
    <label>57.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">URL: http://supermag.jhuapl.edu (дата обращения 2 июня 2018).</mixed-citation>
     <mixed-citation xml:lang="en">URL: http://supermag.jhuapl.edu (accessed June 2, 2018).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B58">
    <label>58.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">URL: http://vt.superdarn.org/tiki-index.php (дата обращения 2 июня 2018).</mixed-citation>
     <mixed-citation xml:lang="en">URL: http://vt.superdarn.org/tiki-index.php (accessed June 2, 2018).</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
