<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">ANGEO</journal-id>
<journal-title-group>
<journal-title>Annales Geophysicae</journal-title>
<abbrev-journal-title abbrev-type="publisher">ANGEO</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ann. Geophys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1432-0576</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/angeo-30-1727-2012</article-id>
<title-group>
<article-title>Remote estimation of reconnection parameters in the Earth&apos;s magnetotail: model and observations</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Alexandrova</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Nakamura</surname>
<given-names>R.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Semenov</surname>
<given-names>V. S.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kubyshkin</surname>
<given-names>I. V.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Apatenkov</surname>
<given-names>S.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Panov</surname>
<given-names>E. V.</given-names>
<ext-link>https://orcid.org/0000-0003-3609-235X</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Korovinskiy</surname>
<given-names>D.</given-names>
<ext-link>https://orcid.org/0000-0002-7694-3422</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Biernat</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Baumjohann</surname>
<given-names>W.</given-names>
<ext-link>https://orcid.org/0000-0001-6271-0110</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Glassmeier</surname>
<given-names>K.-H.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>McFadden</surname>
<given-names>J. P.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Space Research Institute, Austrian Academy of Sciences, Graz, Austria</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>St. Petersburg State University, St. Petersburg, Russia</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>TU Braunschweig, Braunschweig, Germany</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Max-Planck Institute of Solar System Research, Katlenburg-Lindau,Germany</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>Space Science Laboratory, University of California, Berkeley, CA, USA</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>Invited contribution by A. Alexandrova, recipient of the EGU Outstanding Student Poster (OSP) Award 2011.</addr-line>
</aff>
<pub-date pub-type="epub">
<day>20</day>
<month>12</month>
<year>2012</year>
</pub-date>
<volume>30</volume>
<issue>12</issue>
<fpage>1727</fpage>
<lpage>1741</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 A. Alexandrova et al.</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://angeo.copernicus.org/articles/30/1727/2012/angeo-30-1727-2012.html">This article is available from https://angeo.copernicus.org/articles/30/1727/2012/angeo-30-1727-2012.html</self-uri>
<self-uri xlink:href="https://angeo.copernicus.org/articles/30/1727/2012/angeo-30-1727-2012.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/30/1727/2012/angeo-30-1727-2012.pdf</self-uri>
<abstract>
<p>We develop a method to estimate the reconnected magnetic
flux and the location of the reconnection site using
properties of magnetic field and plasma
velocity disturbances in the regions surrounding the reconnection
plasma flow.
Our analysis is based on a 3-D non-steady reconnection
model with a finite-sized X-line length. In this framework,
we obtain a system of equations capturing the relationships between
the disturbances of the magnetic field and plasma flow from one side and the reconnection
characteristics from another side. These equations allow us to determine
the reconnection characteristics from one-point remote observations of the
reconnection fast flow, propagated in the magnetotail current sheet.
We apply the model to magnetic field and plasma observations at (−43, −11.2, −6.9) &lt;I&gt;R&lt;/I&gt;&lt;sub&gt;E&lt;/sub&gt; GSM
obtained by the THEMIS/ARTEMIS spacecraft, located in the tail lobe during a substorm event.
We found that the reconnection region was located at
~ (−27, 3.5, 0) &lt;I&gt;R&lt;/I&gt;&lt;sub&gt;E&lt;/sub&gt; GSM.
The X-line appeared to be close to the local time of the substorm current wedge
identified from ground-based observations.
We estimated the total magnetic flux, which was reconnected in the event as ~5 MWb.
That corresponds to a small fraction of the total amount of magnetic flux transferred during a substorm.</p>
</abstract>
<counts><page-count count="15"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Amm, O., Donovan, E. F., Frey, H., Lester, M., Nakamura, R., Wild, J. A., Aikio, A., Dunlop, M., Kauristie, K., Marchaudon, A., McCrea, I. W., Opgenoorth, H.-J., and Strømme, A.: Coordinated studies of the geospace environment using Cluster, satellite and ground-based data: an interim review, Ann. Geophys., 23, 2129–2170, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-23-2129-2005&quot;&gt;https://doi.org/10.5194/angeo-23-2129-2005&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Angelopoulos, V.: The THEMIS mission, Space Sci. Rev., 141, 534, &lt;a href=&quot;http://dx.doi.org/10.1007/s11214-008-9336-1&quot;&gt;https://doi.org/10.1007/s11214-008-9336-1&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Angelopoulos, V., Baumjohann, W., Kennel, C. F., Coroniti, F. V., Kivelson, M. G., Pellat, R., Walker, R. J., Lühr, H., and Paschmann, G.: Bursty bulk flows in the inner central plasma sheet, J. Geophys. Res., 97, 4027–4039, 1992.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Angelopoulos, V., Phan, T. D., Larson, D. E., Mozer, F. S., Lin, R. P., Tsuruda, K., Hayakawa, H., Mukai, T., Kokubun, S., Yamamoto, T., Williams, D. J., McEntire, R. W., Lepping, R. P., Parks, G. K., Brittnacher, M., Germany, G., Spann, J., Singer, H. J., and Yumoto, K.: Magnetotail flow bursts: association to global magnetospheric circulation, relationship to ionospheric activity and direct evidence for localization, Geophys. Res. Lett., 24, 2271–2274, 1997.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Auster, H. U., Glassmeier,  K. H., Magnes, W., Aydogar, O., Baumjohann, W., Constantinescu, D., Fischer, D., Fornacon, K. H., Georgescu, E., Harvey, P., Hillenmaier, O., Kroth, R., Ludlam, M., Narita, Y., Nakamura, R., Okrafka, K., Plaschke, F., Richter, I., Schwarzl, H., Stoll, B., Valavanoglou, A., and Wiedemann, M.: The THEMIS Fluxgate Magnetometer, Space Sci. Rev., 141, 235–264, &lt;a href=&quot;http://dx.doi.org/10.1007/s11214-008-9365-9&quot;&gt;https://doi.org/10.1007/s11214-008-9365-9&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Baumjohann, W., Paschmann, G., and Lühr, H.: Characteristics of high-speed flows in the plasma sheet, J. Geophys. Res., 95, 3801–3809, 1990.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Baumjohann, W., Hesse, M., Kokubun, S., Mukai, T., Nagai, T., and Petrukovich, A. A.: Substorm dipolarization and recovery, J. Geophys. Res., 104, 24995–25000, 1999.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Biernat, H. K., Heyn, M. F., and Semenov, V. S.: Unsteady Petschek reconnection, J. Geophys. Res., 92, 3392–3396, 1987.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Brittnacher, M., Fillingim, M., Parks, G., Germany, G., and Spann, J.: Polar cap area and boundary motion during substorms, J. Geophys. Res., 104, 12251–12262, 1999.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">DeJong, A. D., Cai, X., Clauer, R. C., and Spann, J. F.: Aurora and open magnetic flux during isolated substorms, sawteeth, and SMC events, Ann. Geophys., 25, 1865–1876, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-25-1865-2007&quot;&gt;https://doi.org/10.5194/angeo-25-1865-2007&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Grocott, A., Yeoman, T. K., Nakamura, R., Cowley, S. W. H., Frey, H. U., Rème, H., and Klecker, B.: Multi-instrument observations of the ionospheric counterpart of a bursty bulk flow in the near-Earth plasma sheet, Ann. Geophys., 22, 1061–1075, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-22-1061-2004&quot;&gt;https://doi.org/10.5194/angeo-22-1061-2004&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Heyn, M. F. and Semenov, V. S.: Rapid reconnection in compressible plasma, Phys. Plasmas, 3, 2725–2741, 1996.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Hones, E. W.: Substorm processes in the magnetotail: Comments on &quot;On hot tenuous plasmas, fireballs, and boundary layers in the Earth&apos;s magnetotail&quot;  by Frank et al., J. Geophys. Res., 82, 5633–5643, 1977.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Hones, E. W.: Transient phenomena in the magnetotail and their relation to substorms, Space Sci. Rev., 23, 3, 393–410, &lt;a href=&quot;http://dx.doi.org/10.1007/BF00172247&quot;&gt;https://doi.org/10.1007/BF00172247&lt;/a&gt;, 1979.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Hones, E. W., Baker, D. N., Bame, S. J., Feldman, W. C., Gosling, J. T., McComas, D. J., Zwickl, R. D., Slavin, J. A., Smith, E. J., and Tsurutani, B. T.: Structure of the magnetotail at 220 Earth radii and its response to geomagnetic activity, Geophys. Res. Lett., 11, 5–7, 1984.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Horning, B. L., McPherron, R. L. and Jackson, D. D.: Application of linear inverse theory to a line current model of substorm current systems, J. Geophys. Res., 79, 5202–5210, &lt;a href=&quot;http://dx.doi.org/10.1029/JA079i034p05202&quot;&gt;https://doi.org/10.1029/JA079i034p05202&lt;/a&gt;, 1974.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Hubert, B., Milan, S. E., Grocott, A., Cowley, S. W. H., and Gerard, J.-C.: Dayside ang nightside reconnection rates inferred from IMAGE  FUV and SuperDARN data, J. Geophys. Res., 111, A03217, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JA011140&quot;&gt;https://doi.org/10.1029/2005JA011140&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Imber, S. M., Slavin, J. A., Auster, H. U., and Angelopoulos, V.: A THEMIS survey of flux ropes and traveling compression regions: Location of the near-Earth reconnection site during solar minimum, J. Geophys. Res., 116, A02201, &lt;a href=&quot;http://dx.doi.org/10.1029/2010JA016026&quot;&gt;https://doi.org/10.1029/2010JA016026&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Ivanova, V. V., Semenov, V. S., Penz, T., Ivanov, I. B., Sergeev, V. A., Heyn, M. F., Farrugia, C. J., Biernat, H. K., Nakamura, R., and Baumjohann, W.: Reconstruction of the reconnection rate from Cluster measurements: Method improvements, J. Geophys. Res., 112, A10226, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JA012183&quot;&gt;https://doi.org/10.1029/2006JA012183&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Ivanova, V. V., Semenov, V. S., Ivanov, I. B., Biernat, H. K., and Kiehas, S. A.: Reconstruction of time-varying reconnection rate and X-line location, Ann. Geophys., 26, 3445–3450, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-26-3445-2008&quot;&gt;https://doi.org/10.5194/angeo-26-3445-2008&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Kauristie, K., A.Sergeev, V., Kubyshkina, M., Pulkkinen, T. I., Angelopoulos, V., Phan, T., Lin, R. P., and Slavin, J. A.: Ionospheric current signatures of transient plasma sheet flows, J. Geophys. Res., 105, 10677–10690, 2000.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Kiehas, S. A., Semenov, V. S., Kubyshkin, I. V., Kubyshkina, M. V., Penz, T., Biernat, H. K., and Nakamura, R.: Determination of reconnected flux via remote sensing, Adv. Space Res., 41, 1292–1297, &lt;a href=&quot;http://dx.doi.org/10.1016/j.asr.2007.05.069&quot;&gt;https://doi.org/10.1016/j.asr.2007.05.069&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Kiehas, S. A., Semenov, V. S., Kubyshkina, M. V., Angelopoulos, V., Nakamura, R., Keika, K., Ivanova, V. V., Biernat, H. K., Baumjohann, W., Mende, S., Magnes, W., Auster, U., Fornaçon, K.-H., Larson, D., Carlson, C. W., Bonnell, J., and McFadden, J.: First application of a Petschek-type reconnection model with time-varying reconnection rate to THEMIS observations, J. Geophys. Res, 114, A00C20, &lt;a href=&quot;http://dx.doi.org/10.1029/2008JA013528&quot;&gt;https://doi.org/10.1029/2008JA013528&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">McFadden, J. P., Carlson, C. W., Larson, D., Angelopoulos, V., Ludlam, M., Abiad, R., Elliott, B., Turin, P., and Marckwordt, M.: The THEMIS ESA plasma instrument and in-flight calibration, Space Sci. Rev., 141, 277–302, &lt;a href=&quot;http://dx.doi.org/10.1007/s11214-008-9440-2&quot;&gt;https://doi.org/10.1007/s11214-008-9440-2&lt;/a&gt;, 2008a.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">McFadden, J. P., Carlson, C. W., Larson, D., Bonnell, J., Mozer, F., Angelopoulos, V., Glassmeier, K.-H., and Auster, U.: THEMIS ESA first science results and performance issues, Space Sci. Rev., 141, 477–508, &lt;a href=&quot;http://dx.doi.org/10.1007/s11214-008-9433-1&quot;&gt;https://doi.org/10.1007/s11214-008-9433-1&lt;/a&gt;, 2008b.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Milan, S. E., Provan, G., and Hubert, B.: Magnetic flux transport in the Dungey cycle: A survey of dayside and nightside reconnection rates, J. Geophys. Res., 112, A01209, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JA011642&quot;&gt;https://doi.org/10.1029/2006JA011642&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Miyashita, Y., Ieda, A., Kamide, Y., Machida, S., Mukai, T., Saito, Y., Liou, K., Meng, C.-I., Parks, G. K., McEntire, R. W., Nishitani, N., Lester, M., Sofko, G. J., and Villain, J.-P.: Plasmoids observed in the near-Earth magnetotail at $X \sim -7 R_\text{E}$, J. Geophys. Res., 110, A12214, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JA011263&quot;&gt;https://doi.org/10.1029/2005JA011263&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Nagai, T., Fujimoto, M., Saito, Y., Machida, S., Terasawa, T., Nakamura, R., Yamamoto, T., Mukai, T., Nishida, A., and Kokubun, S.: Structure and dynamics of magnetic reconnection for substorm onsets with Geotail observations, J. Geophys. Res., 103, 4419–4440, 1998.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Nagai, T., Shinohara, I., Fujimoto, M., Hoshino, M., Saito, Y., Machida, S., and Mukai, T.: Geotail observations of the Hall current system: Evidence of magnetic reconnection in the magnetotail, J. Geophys. Res., 106, 25929–25950, 2001.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Nagai, T., Fujimoto,  M., Nakamura, R., Baumjohann, W., Ieda,  A., Shinohara, I., Machida,  S., Saito,  Y., and Mukai, T.: Solar wind control of the radial distance of the magnetic reconnection site in the magnetotail, J. Geophys. Res., 110, A09208, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JA011207&quot;&gt;https://doi.org/10.1029/2005JA011207&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Nakamura, R. Baumjohann, W., Schödel, R., Brittnacher, M., Sergeev, V. A., Kubyshkina, M., Mukai, T., and Liou, K.: Earthward fow bursts, auroral streamers, and small expansions. J. Geophys. Res., 106, 10791–10802, 2001.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Nakamura, R., Baumjohann,W., Mouikis, C., Kistler, L. M., Runov, A., Volwerk, M., Asano, Y., Vörös, Z., Zhang, T. L., Klecker, B., R`eme, H., and Balogh, A.: Spatial scale of high-speed flows in the plasma sheet observed by Cluster, Geophys. Res. Lett., 31, L09894, &lt;a href=&quot;http://dx.doi.org/10.1029/2004GL019558&quot;&gt;https://doi.org/10.1029/2004GL019558&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Nakamura, T. K. M., Nakamura,  R., Alexandrova, A., Kubota, Y. and  Nagai, T.: Hall magnetohydrodynamic effects for three-dimensional magnetic reconnection with finite width along the direction of the current, J. Geophys. Res., 117, A03220, &lt;a href=&quot;http://dx.doi.org/10.1029/2011JA017006&quot;&gt;https://doi.org/10.1029/2011JA017006&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Øieroset, M., Phan, T. D., Fujimoto, M., Lin, R. P., and Lepping, R. P.: In situ detection of collisionless reconnection in the Earth&apos;s magnetotail, Nature, 412, 414–417, 2001.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Petrukovich, A. A., Baumjohann, W., Nakamura,  R., and  Rème, H.: Tailward and Earthward flow onsets observed by Cluster in a thin current sheet, J. Geophys. Res., 114, A09203, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JA014064&quot;&gt;https://doi.org/10.1029/2009JA014064&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Runov, A., Nakamura, R., Baumjohann, W., Treumann, R. A., Zhang, T. L., Volwerk, M., Vörös, Z., Balogh, A., Glassmeier, K.-H., Klecker, B., Rème, H., and Kistler, L.: Current sheet structure near magnetic X-line observed by Cluster, Geophys. Res. Lett., 30, 1579, &lt;a href=&quot;http://dx.doi.org/10.1029/2002GL016730&quot;&gt;https://doi.org/10.1029/2002GL016730&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Russell, C. T., Mellott, M. M., Smith,  E. J., and King, J. H.: Multiple Spacecraft Observations of Interplanetary Shocks: Four Spacecraft Determination of Shock Normals, J. Geophys. Res., 88, 4739–4748, &lt;a href=&quot;http://dx.doi.org/10.1029/JA088iA06p04739&quot;&gt;https://doi.org/10.1029/JA088iA06p04739&lt;/a&gt;, 1983.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Schindler, K.: A theory of the substorm mechanism, J. Geophys. Res., 79, 2803–2810, 1974.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Semenov, V. S., Vasilyev, E. P., and Pudovkin, A. I.: A scheme for the nonsteady reconnection of magnetic lines of force, Geomagnet. Aeronomy (Engl. Transl.), 24, 370–373, 1984.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Semenov, V. S., Kubyshkin, I. V., Lebedeva, V. V., Rijnbeek, R. P., Heyn, M. F., Biernat, H. K., and Farrugia, C. J.: A comparison and review of steady-state and time-varying reconnection, Planet. Space Sci., 49, 63–87, 1992.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Semenov, V. S., Penz, T., Heyn, M. F., Ivanov, I. B., Kubyshkin, I. V., Biernat, H. K., and Ivanova, V. V.: Reconstruction of the reconnection rate from magnetic field disturbances in an incompressible plasma, in: Solar-planetary relations, edited by: Biernat, H. K., Lammer, H., Vogl, D. F., and Mühlbachler, S., pp. 261–302, Research Signpost, Trivandrum, India, 2005a.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Semenov, V. S., Penz, T., Ivanova, V. V., Sergeev, V. A., Biernat, H. K., Nakamura, R., Heyn, M. F., Kubyshkin, I. V., and Ivanov, I. B.: Reconstruction of the reconnection rate from Cluster measurements: First results, J. Geophys. Res., 110, A11217, &lt;a href=&quot;http://dx.doi.org/10.1029/2005JA011181&quot;&gt;https://doi.org/10.1029/2005JA011181&lt;/a&gt;, 2005b.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V., Elphic, R. C., Mozer, F. S., Saint-Marc, A., and Sauvaud, J.-A.: A two-satellite study of nightside flux transfer events in the plasma sheet, Planet. Space Sci., 40, 1551–1572, 1992.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V. A., Angelopoulos, V., Gosling, J. T., Cattell, C. A., and  Russell, C. T.: Detection of localized, plasma-depleted flux tubes or bubbles in the midtail plasma sheet, J. Geophys. Res., 101, 10817–10826, &lt;a href=&quot;http://dx.doi.org/10.1029/96JA00460&quot;&gt;https://doi.org/10.1029/96JA00460&lt;/a&gt;, 1996a.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V. A., Vagina, L. I., Elphinstone, R. D., Murphree, J. S., Hearn, D. J., Cogger, L. L., and Johnson, M. L.: Comparison of UV optical signatures with the substorm current wedge as predicted by an inversion algorithm, J. Geophys. Res., 101, 2615–2627, &lt;a href=&quot;http://dx.doi.org/10.1029/95JA00537&quot;&gt;https://doi.org/10.1029/95JA00537&lt;/a&gt;, 1996b.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V. A., Kubyshkina, M. V., Baumjohann, W., Nakamura, R., Amm, O., Pulkkinen, T., Angelopoulos, V., Mende, S. B., Klecker, B., Nagai, T., Sauvaud, J.-A., Slavin, J. A., and Thomsen, M. F.: Transition from substorm growth to substorm expansion phase as observed with a radial configuration of ISTP and Cluster spacecraft, Ann. Geophys., 23, 2183–2198, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-23-2183-2005&quot;&gt;https://doi.org/10.5194/angeo-23-2183-2005&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V., Semenov, V., Kubyshkina, M., Ivanova, V., Baumjohann, W., Nakamura, R., Penz, T., Runov, A., Zhang, T., Glassmeier, K., Angelopoulos, V., Frey, H., Sauvaud, J., Daly, P., Cao, J., Singer, H., and Lucek, E.: Observation of repeated intense near-Earth reconnection on closed field lines with Cluster, Double Star and other spacecraft, Geophys. Res. Lett., 34, L0213, &lt;a href=&quot;http://dx.doi.org/10.1029/2006GL028452&quot;&gt;https://doi.org/10.1029/2006GL028452&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Sergeev, V., Kubyshkina, M., Alexeev, I., Fazakerley, A., Owen, C., Baumjohann, W., Nakamura, R., Runov, A., Vörös, Z., Zhang, T. L., Angelopoulos, V., Sauvaud, J.-A., Daly, P., Cao, J. B., and Lucek, E.: Study of near-Earth reconnection events with Cluster and Double Star, J. Geophys. Res., 113, A07S36, &lt;a href=&quot;http://dx.doi.org/10.1029/2007JA012902&quot;&gt;https://doi.org/10.1029/2007JA012902&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Sharma, A. S., Nakamura, R., Runov, A., Grigorenko, E. E., Hasegawa, H., Hoshino, M., Louarn, P., Owen, C. J., Petrukovich, A., Sauvaud, J.-A., Semenov, V. S., Sergeev, V. A., Slavin, J. A., Sonnerup, B. U. Ö., Zelenyi, L. M., Fruit, G., Haaland, S., Malova, H., and Snekvik, K.: Transient and localized processes in the magnetotail: a review, Ann. Geophys., 26, 955–1006, &lt;a href=&quot;http://dx.doi.org/10.5194/angeo-26-955-2008&quot;&gt;https://doi.org/10.5194/angeo-26-955-2008&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Slavin, J. A., Smith, E. J., Tsurutani, B. T., Sibeck, D. G., Singer, H. J., Baker, D. N., Gosling, J. T., Hones, E. W., and Scarf, F. L.: Substorm associated traveling compression regions in the distant tail – ISEE-3 geotail observations, Geophys. Res. Lett., 11, 657–660, 1984.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Slavin, J. A., Owen, C. J., Kuznetsova, M. M., and Hesse, M.: ISEE 3 observations of plasmoids with flux rope magnetic topologies, Geophys. Res. Lett., 22, 2061–2064, 1995.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Taguchi, S., Slavin, J. A., and Lepping, R. P.: Traveling compression regions in the midtail: Fifteen years of IMP 8 observations, J. Geophys. Res., 103, 17641–17650, 1998.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Tsyganenko, N. A.: Modeling the Earth&apos;s magnetospheric magnetic field confined within a realistic magnetopause, J. Geophys. Res., 100, 5599–5612, 1995.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Tsyganenko, N. A.: Effects of the solar wind conditions on the global magnetospheric configuration as deduced from data-based field models, in European Space Agency Publication ESA SP-389, p. 181, 1996.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Vladimirov, V. S.: Equations of Mathematical Physics, MARCEL DEKKER, INC., New York, 1971.</mixed-citation>
</ref>
</ref-list>
</back>
</article>