<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/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>
</journal-title-group>
<issn pub-type="epub">1432-0576</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>GÃ¶ttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/angeo-27-2457-2009</article-id>
<title-group>
<article-title>Solar wind and substorm excitation of the wavy current sheet</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Forsyth</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lester</surname>
<given-names>M.</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>Fear</surname>
<given-names>R. C.</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>Lucek</surname>
<given-names>E.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dandouras</surname>
<given-names>I.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fazakerley</surname>
<given-names>A. N.</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>Singer</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yeoman</surname>
<given-names>T. K.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Dept. Physics and Astronomy, University of Leicester, Leicester, LE1 7RH, UK</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Mullard Space Science Laboratory, University College London, Holmbury St. Mary, Dorking, Surrey, RH5 6NT, UK</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Blackett Laboratory, Imperial College, London, SW7 2BZ, UK</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>CESR/CNRS-UniversitÃ© de Toulouse, 9 Avenue du Colonel Roche, B.P. 4346, 31028, Toulouse Cedex 4, France</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>National Oceanic and Atmospheric Administration, Boulder, CO 80305, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>19</day>
<month>06</month>
<year>2009</year>
</pub-date>
<volume>27</volume>
<issue>6</issue>
<fpage>2457</fpage>
<lpage>2474</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.ann-geophys.net/27/2457/2009/angeo-27-2457-2009.html">This article is available from http://www.ann-geophys.net/27/2457/2009/angeo-27-2457-2009.html</self-uri>
<self-uri xlink:href="http://www.ann-geophys.net/27/2457/2009/angeo-27-2457-2009.pdf">The full text article is available as a PDF file from http://www.ann-geophys.net/27/2457/2009/angeo-27-2457-2009.pdf</self-uri>
<abstract>
<p>Following a solar wind pressure pulse on 3 August 2001, GOES 8, GOES 10,
Cluster and Polar observed dipolarizations of the magnetic field, accompanied
by an eastward expansion of the aurora observed by IMAGE, indicating the
occurrence of two substorms. Prior to the first substorm, the motion of the
plasma sheet with respect to Cluster was in the &lt;I&gt;Z&lt;/I&gt;&lt;sub&gt;GSM&lt;/sub&gt; direction.
Observations following the substorms show the occurrence of current sheet
waves moving predominantly in the &amp;minus;&lt;I&gt;Y&lt;/I&gt;&lt;sub&gt;GSM&lt;/sub&gt; direction. Following the second
substorm, the current sheet waves caused multiple current sheet crossings of
the Cluster spacecraft, previously studied by Zhang et al. (2002). We further
this study to show that the velocity of the current sheet waves was similar
to the expansion velocity of the substorm aurora and the expansion of the
dipolarization regions in the magnetotail. Furthermore, we compare these
results with the current sheet wave models of Golovchanskaya and Maltsev (2005) and
Erkaev et al.
(2008). We find that the Erkaev et al. (2008) model gives the best
fit to the observations.</p>
</abstract>
<counts><page-count count="18"/></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"> Angelopoulos, V., Baumjohann, W., Kennel, C F., Coronti, F V., Kivelson, M G., Pellat, R., Walker, R J., Luehr, H., and Paschmann, G.: Bursty bulk flows in the inner central plasma sheet, J. Geophys. Res., 97, 4027â€“4039, 1992. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Baker, K B. and Wing, S.: A new magnetic coordinate system for conjugate studies at high latitudes, J. Geophys. Res., 94, 9139â€“9143, 1989. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Balogh, A., Carr, C. M., AcuÃ±a, M. H., Dunlop, M. W., Beek, T. J., Brown, P., Fornacon, K.-H., Georgescu, E., Glassmeier, K.-H., Harris, J., Musmann, G., Oddy, T., and Schwingenschuh, K.: The Cluster Magnetic Field Investigation: overview of in-flight performance and initial results, Ann. Geophys., 19, 1207â€“1217, 2001. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Bauer, T M., Baumjohann, W., and Treumann, R A.: Neutral sheet oscillations at substorm onset, J. Geophys. Res., 100, 23737â€“23742, \doi10.1029/95JA02448, 1995. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Brown, P., Dunlop, M W., Balogh, A., Carr, C., Gloag, J., Lucek, E., and Oddy, T.: Calibration techniques for magnetometers implementing on-board de-spinning algorithms, Adv. Space Res., 41, 1571â€“1578, \doi10.1016/j.asr.2007.09.028, 2008. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Cowley, S W H.: The Distant Geomagnetic Tail in Theory and Observation, in: Magnetic Reconnection in Space and Laboratory Plasmas, edited by: Hones, Jr., E W., pp. 228â€“239, 1984. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Dunlop, M W., Southwood, D J., Glassmeier, K.-H., and Neubauer, F M.: Analysis of multipoint magnetometer data, Adv. Space Res., 8, 273â€“277, \doi10.1016/0273-1177(88)90141-X, 1988. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Erkaev, N V., Semenov, V S., and Biernat, H K.: Magnetic double gradient mechanism for flapping oscillations of a current sheet, Geophys. Res. Lett., 35, L02111, \doi10.1029/2007GL032277, 2008. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Fairfield, D H. and Ness, N F.: Configuration of the geomagnetic tail during substorms., J. Geophys. Res., 75, 7032â€“7047, 1970. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Golovchanskaya, I V. and Maltsev, Y P.: On the identification of plasma sheet flapping waves observed by Cluster, Geophys. Res. Lett., 32, L02102, \doi10.1029/2004GL021552, 2005. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Harris, E G.: On a plasma sheath separating regions of oppositely directed magnetic field, Il Nuovo Cimento, 23, 115â€“121, \doi10.1007/BF02733547, 1962. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Harvey, C C.: Spatial gradients and the volumetric tensor, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P W., pp. 307â€“348, ISSI, 1998. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Johnstone, A D., Alsop, C., Burge, S., Carter, P J., Coates, A J., Coker, A J., Fazakerley, A N., Grande, M., Gowen, R A., Gurgiolo, C., Hancock, B K., Narheim, B., Preece, A., Sheather, P H., Winningham, J D., and Woodliffe, R D.: PEACE: a Plasma Electron And Current Experiment, Space Sci Rev., 79, 351â€“398, 1997. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Khan, H. and Cowley, S. W. H.: Observations of the response time of high-latitude ionospheric convection to variations in the interplanetary magnetic field using EISCAT and IMP-8 data, Ann. Geophys., 17, 1306â€“1335, 1999. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Kokubun, S. and McPherron, R L.: Substorm signatures at synchronous altitude, J. Geophys. Res, 86, 11265â€“11277, 1981. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Liou, K. and Ruohoniemi, J M.: A case study of relationship between substorm expansion and global plasma convection, Geophys. Res. Lett., 33, L02105, \doi10.1029/2005GL024736, 2006a. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Liou, K. and Ruohoniemi, J M.: Correction to &quot;A case study of relationship between substorm expansion and global plasma convection&quot;, Geophys. Res. Lett., 33, L10101, \doi10.1029/2006GL025990, 2006b. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Liou, K., Meng, C.-I., Lui, A T Y., Newell, P T., and Wing, S.: Magnetic dipolarization with substorm expansion onset, J. Geophys. Res., 107, 1131â€“1142, \doi10.1029/2001JA000179, 2002. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Liou, K., Meng, C.-I., and Wu, C.-C.: On the interplanetary magnetic field B$_y$ control of substorm bulge expansion, J. Geophys. Res., 111, 9312â€“9319, \doi10.1029/2005JA011556, 2006. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Luhr, H.: The IMAGE Magnetometer Network, in: STEP International, vol 4, pp. 4â€“6, USSCO, 1994. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> McComas, D J., Bame, S J., Barker, P., Feldman, W C., Phillips, J L., Riley, P., and Griffee, J W.: Solar Wind Electron Proton Alpha Monitor (SWEPAM) for the Advanced Composition Explorer, Space Sci. Rev., 86, 563â€“612, \doi10.1023/A:1005040232597, 1998. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> McPherron, R L., Russell, C T., and Aubry, M P.: Satellite studies of magnetospheric substorms on August 15, 1968. 9. Phenomenological model for substorms., J. Geophys. Res., 78, 3131â€“3149, 1973. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Mende, S B., Heetderks, H., Frey, H U., Lampton, M., Geller, S P., Abiad, R., Siegmund, O H W., Tremsin, A S., Spann, J., Dougani, H., Fuselier, S A., Magoncelli, A L., Bumala, M B., Murphree, S., and Trondsen, T.: Far ultraviolet imaging from the IMAGE spacecraft. 2. Wideband FUV imaging, Space Sci. Rev., 91, 271â€“285, 2000a. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Mende, S B., Heetderks, H., Frey, H U., Lampton, M., Geller, S P., Habraken, S., Renotte, E., Jamar, C., Rochus, P., Spann, J., Fuselier, S A., Gerard, J.-C., Gladstone, R., Murphree, S., and Cogger, L.: Far ultraviolet imaging from the IMAGE spacecraft. 1. System design, Space Sci. Rev., 91, 243â€“270, 2000b. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Mende, S B., Heetderks, H., Frey, H U., Stock, J M., Lampton, M., Geller, S P., Abiad, R., Siegmund, O H W., Habraken, S., Renotte, E., Jamar, C., Rochus, P., Gerard, J.-C., Sigler, R., and Lauche, H.: Far ultraviolet imaging from the IMAGE spacecraft. 3. Spectral imaging of Lyman-Î± and OI 135.6 nm, Space Sci. Rev., 91, 287â€“318, 2000c. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Nagai, T.: Observed magnetic substorm signatures at synchronous altitude, J. Geophys. Res., 87, 4405â€“4417, 1982. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Nakagawa, T. and Nishida, A.: Southward magnetic field in the neutral sheet produced by wavy motions propagating in the dawn-dusk direction, Geophys. Res. Lett., 16, 1265â€“1268, 1989. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Nakamura, R., Baumjohann, W., Zhang, T. L., Carr, C. M., Balogh, A., Fornacon, K-H., Georgescu, E., Rème, H., Dandouras, I., Takada, T., Volwerk, M., Asano, Y., Runov, A., Eichelberger, H., Klecker, B., Mouikis, C., Kistler, L. M., and Amm, O.: Cluster and Double Star observations of dipolarization, Ann. Geophys., 23, 2915â€“2920, 2005. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Petrukovich, A. A., Zhang, T. l., Baumjohann, W., Nakamura, R., Runov, A., Balogh, A., and Carr, C.: Oscillatory magnetic flux tube slippage in the plasma sheet, Ann. Geophys., 24, 1695â€“1704, 2006. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> RÃ¨me, H., Aoustin, C., Bosqued, J. M., Dandouras, I., Lavraud, B., Sauvaud, J. A., Barthe, A., Bouyssou, J., Camus, Th., Coeur-Joly, O., Cros, A., Cuvilo, J., Ducay, F., Garbarowitz, Y., Medale, J. L., Penou, E., Perrier, H., Romefort, D., Rouzaud, J., Vallat, C., AlcaydÃ©, D., Jacquey, C., Mazelle, C., d’Uston, C., MÃ¶bius, E., Kistler, L. M., Crocker, K., Granoff, M., Mouikis, C., Popecki, M., Vosbury, M., Klecker, B., Hovestadt, D., Kucharek, H., Kuenneth, E., Paschmann, G., Scholer, M., Sckopke, N., Seidenschwang, E., Carlson, C. W., Curtis, D. W., Ingraham, C., Lin, R. P., McFadden, J. P., Parks, G. K., Phan, T., Formisano, V., Amata, E., Bavassano-Cattaneo, M. B., Baldetti, P., Bruno, R., Chionchio, G., Di Lellis, A., Marcucci, M. F., Pallocchia, G., Korth, A., Daly, P. W., Graeve, B., Rosenbauer, H., Vasyliunas, V., McCarthy, M., Wilber, M., Eliasson, L., Lundin, R., Olsen, S., Shelley, E. G., Fuselier, S., Ghielmetti, A. G., Lennartsson, W., Escoubet, C. P., Balsiger, H., Friedel, R., Cao, J.-B., Kovrazhkin, R. A., Papamastorakis, I., Pellat, R., Scudder, J., and Sonnerup, B.: First multispacecraft ion measurements in and near the Earth&apos;s magnetosphere with the identical Cluster ion spectrometry (CIS) experiment, Ann. Geophys., 19, 1303â€“1354, 2001. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Robert, P., Dunlop, M W., Roux, A., and Chanteur, G.: Accuracy of Current Density Determination, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P W., pp. 395â€“418, ISSI, 1998. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Rostoker, G.: Current flow in the magnetosphere during magnetospheric substorms., J. Geophys. Res., 79, 1994â€“1998, 1974. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Runov, A., Nakamura, R., Baumjohann, W., Zhang, T L., Volwerk, M., Eichelberger, H.-U., and Balogh, A.: Cluster observation of a bifurcated current sheet, Geophys. Res. Lett., 30(2), L01036, doi:10.1029/2002GL016136, 2003. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Runov, A., Sergeev, V. A., Baumjohann, W., Nakamura, R., Apatenkov, S., Asano, Y., Volwerk, M., Vörös, Z., Zhang, T. L., Petrukovich, A., Balogh, A., Sauvaud, J.-A., Klecker, B., and Rème, H.: Electric current and magnetic field geometry in flapping magnetotail current sheets, Ann. Geophys., 23, 1391â€“1403, 2005. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Runov, A., Sergeev, V. A., Nakamura, R., Baumjohann, W., Apatenkov, S., Asano, Y., Takada, T., Volwerk, M., Vörös, Z., Zhang, T. L., Sauvaud, J.-A., RÃ¨me, H., and Balogh, A.: Local structure of the magnetotail current sheet: 2001 Cluster observations, Ann. Geophys., 24, 247â€“262, 2006. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Russell, C T., Snare, R C., Means, J D., Pierce, D., Dearborn, D., Larson, M., Barr, G., and Le, G.: The GGS/POLAR magnetic fields investigation, Space Sci. Rev., 71, 563â€“582, \doi10.1007/BF00751341, 1995. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Safargaleev, V V. and Mal&apos;Tsev, Y P.: Internal gravitational waves in a plasma sheet., Geomagnetism and Aeronomy, 26, 270â€“274, 1986. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V., Angelopoulos, V., Carlson, C., and Sutcliffe, P.: Current sheet measurements within a flapping plasma sheet, J. Geophys. Res., 103, 9177â€“9188, \doi10.1029/97JA02093, 1998. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V., Runov, A., Baumjohann, W., Nakamura, R., Zhang, T L., Volwerk, M., Balogh, A., RÃ¨me, H., Sauvaud, J A., AndrÃ©, M., and Klecker, B.: Current sheet flapping motion and structure observed by Cluster, Geophys. Res. Lett., 30(6), L01327, doi:10.1029/2002GL016500, 2003. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V., Runov, A., Baumjohann, W., Nakamura, R., Zhang, T L., Balogh, A., Louarnd, P., Sauvaud, J.-A., and Reme, H.: Orientation and propagation of current sheet oscillations, Geophys. Res. Lett., 31, L05807, \doi10.1029/2003GL019346, 2004. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V. A., Sormakov, D. A., Apatenkov, S. V., Baumjohann, W., Nakamura, R., Runov, A. V., Mukai, T., and Nagai, T.: Survey of large-amplitude flapping motions in the midtail current sheet, Ann. Geophys., 24, 2015â€“2024, 2006. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Smith, C W., L&apos;Heureux, J., Ness, N F., AcuÃ±a, M H., Burlaga, L F., and Scheifele, J.: The ACE Magnetic Fields Experiment, Space Sci. Rev., 86, 613â€“632, \doi10.1023/A:1005092216668, 1998. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Sonnerup, B U O. and Cahill Jr., L J.: Magnetopause structure and attitude from Explorer 12 observations, J. Geophys. Res., 72, 171â€“183, 1967. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Sonnerup, B U O. and Scheible, M.: Minimum and Maximum Variance Analysis, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P W., pp. 185â€“220, ISSI, 1998. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Speiser, T W. and Ness, N F.: The Neutral Sheet in the Geomagnetic Tail: Its Motion, Equivalent Currents, and Field Line Connection through It, J. Geophys. Res., 72, 131â€“141, 1967. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Stone, E C., Frandsen, A M., Mewaldt, R A., Christian, E R., Margolies, D., Ormes, J F., and Snow, F.: The Advanced Composition Explorer, Space Sci. Rev., 86, 1â€“22, \doi10.1023/A:1005082526237, 1998. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Tsyganenko, N A.: A magnetospheric magnetic field model with a warped tail current sheet, Planetary and Space Science, 37, 5â€“20, \doi10.1016/0032-0633(89)90066-4, 1989. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Tsyganenko, N A., Singer, H J., and Kasper, J C.: Storm-time distortion of the inner magnetosphere: How severe can it get?, J. Geophys. Res., 108, 1209, \doi10.1029/2002JA009808, 2003. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Viljanen, A. and HÃ¤kkinen, L.: Image magnetometer network, in: ESA SP-1198: Satellite-Ground Based Coordination Sourcebook, edited by: Lockwood, M., Wild, M N., and Opgenoorth, H J., pp. 111â€“118, 1997. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Volwerk, M., Glassmeier, K.-H., Runov, A., Nakamura, R., Baumjohann, W., Klecker, B., Richter, I., Balogh, A., RÃ¨me, H., and Yumoto, K.: Flow burst-induced large-scale plasma sheet oscillation, J. Geophys. Res., 109, A11208, \doi10.1029/2004JA010533, 2004. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, T L., Baumjohann, W., Nakamura, R., Balogh, A., and Glassmeier, K.-H.: A wavy twisted neutral sheet observed by CLUSTER, Geophys. Res. Lett., 29(19), L01899, doi:10.1029/2002GL015544, 2002.  </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, T. L., Nakamura, R., Volwerk, M., Runov, A., Baumjohann, W., Eichelberger, H. U., Carr, C., Balogh, A., Sergeev, V., Shi, J. K., and Fornacon, K.-H.: Double Star/Cluster observation of neutral sheet oscillations on 5 August 2004, Ann. Geophys., 23, 2909â€“2914, 2005. </mixed-citation>
</ref>
</ref-list>
</back>
</article>