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<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-27-1583-2009</article-id>
<title-group>
<article-title>Time-varying magnetotail magnetic flux calculation: a test of the method</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Shukhtina</surname>
<given-names>M. A.</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>Gordeev</surname>
<given-names>E. I.</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>Sergeev</surname>
<given-names>V. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>St. Petersburg State University, St. Petersburg, Russia</addr-line>
</aff>
<pub-date pub-type="epub">
<day>02</day>
<month>04</month>
<year>2009</year>
</pub-date>
<volume>27</volume>
<issue>4</issue>
<fpage>1583</fpage>
<lpage>1591</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2009 M. A. Shukhtina et al.</copyright-statement>
<copyright-year>2009</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/27/1583/2009/angeo-27-1583-2009.html">This article is available from https://angeo.copernicus.org/articles/27/1583/2009/angeo-27-1583-2009.html</self-uri>
<self-uri xlink:href="https://angeo.copernicus.org/articles/27/1583/2009/angeo-27-1583-2009.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/27/1583/2009/angeo-27-1583-2009.pdf</self-uri>
<abstract>
<p>We modified the Petrinec and Russell (1996) algorithm to allow the
computation of time-varying magnetotail magnetic flux based on simultaneous
spacecraft measurements in the magnetotail and near-Earth solar wind. In
view of many assumptions made we tested the algorithm against MHD simulation
in the artificial event, which provides the input from two artificial
spacecraft to compute the magnetic flux F values with our algorithm; the
latter are compared with flux values, obtained by direct integration in the
tail cross-section. The comparison shows similar time variations of
predicted and simulated fluxes as well as their good correlation (&lt;I&gt;cc&lt;/I&gt;&amp;gt;0.9)
for the input taken from the tail lobe, which somewhat degrades if using the
&quot;measurements&quot; from the central plasma sheet. The regression relationship
between the predicted and computed flux values is rather stable allowing one
to correct the absolute value of predicted magnetic flux.

&lt;br&gt;&lt;br&gt;

We conclude that this method is a perspective tool to monitor the tail
magnetic flux which is one of the main global magnetotail parameters.</p>
</abstract>
<counts><page-count count="9"/></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"> Baker, D. N., Pulkkinen, T. I., McPherron, R. L., and Clauer, C. R.: Multispacecraft study of substorm growth and expansion phase features using a time-evolving field model, in: Solar System Plasmas in Space and Time, Geophys. Monogr. Ser., vol. 84, edited by: Burch, J. I. and Waite Jr., J. H., p. 101, AGU, Washington, D.C., 1994. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Baumjohann, W., Paschmann, G., and Luhr, H.: Pressure balance between lobe and plasma sheet, Geophys. Res. Lett., 17, 45–48, 1990. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</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(A6), 12251–12262, 1999. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Caan, M. N., McPherron, R. L., and Russell, C. T.: Solar wind and substorm related changes in the lobes of geomagnetic tail, J. Geophys. Res., 78, 8087–8096, 1973. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</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, 2007. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Fairfield, D. H., Lepping, R. P., Hones, E. W. Jr., Bame, S. J., and Asbridge, J. R.: Simultaneous measurements of magnetotail dynamics by IMP spacecraft, J. Geophys. Res., 86, 1396–1414, 1981. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Garcia, K. S. and Hughes, W. J.: Finding the Lyon-Fedder-Mobarry magnetopause: A statistical perspective, J. Geophys. Res., 112, A06229, https://doi.org/10.1029/2006JA012039, 2007. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</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, https://doi.org/10.1029/2005JA011140, 2006. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Kawano, H., Petrinec, S. M., Russell, C. T., and Higuchi, T.: Magnetopause shape determination from measured position and estimated flaring angle, J. Geophys. Res., 104, 247–261, 1999. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Maezawa, K.: Magnetotail boundary motion associated with geomagnetic substorms, J Geophys. Res., 80, 3543–3548, 1975. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</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, https://doi.org/10.1029/2006JA011642, 2007. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Newbury, J. A., Russell, C. T., Phillips, J. L., and Gary, S. P.: Electron temperature in the ambient solar wind: Typical properties and a lower bound at 1 AU, J. Geophys. Res., 103, 9553–9566, 1998. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Newell, P. T., Liou, K., Sotirelis, T., and Meng, Ch.-I.: Polar ultraviolet imager observations of global auroral power as a function of polar cap size and magnetotail stretching, J Geophys. Res., 106, 5895–5905, 2001. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Palmroth, M., Pulkkinen, T. I., Janhunen, P., and Wu, C.-C.: Stormtime energy transfer in global MHD simulation, J. Geophys. Res., 108(A1), 1048, https://doi.org/10.1029/2002JA009446, 2003. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Petrinec, S., Song, P., and Russell, C. T.: Solar cycle variations in the size and shape of the magnetopause, J Geophys. Res., 96, 7893–7896, 1991. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Petrinec, S. M. and Russell, C. T.: Near-Earth magnetotail shape and size as determined from the magnetopause flaring angle, J Geophys. Res., 101, 137–152, 1996. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Petrukovich, A. A., Mukai, T., Kokubun, S., Romanov, S. A., Saito, Y., Yamomoto, T., and Zelenyi, L. M.: Substorm-associated pressure variations in the magnetotail plasma sheet and lobe, J Geophys. Res., 104, 4501–4514, 1999. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Raeder, J.: Global Magnetohydrodynamics – A Tutorial, in: Space Plasma Simulation, edited by:~Buechner, J., Dum, C. T., and Scholer, M., Lecture Notes in Physics, vol. 615, Springer Verlag, Heidelberg, 2003. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Rybal&apos;chenko, V. V. and Sergeev, V. A.: Rate of magnetic flux buildup in the magnetospheric tail, Geomagn. Aeron., 25, 378–386, 1985. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Russell, C. T. and McPherron, R. L.: The magnetotail and substorms, Space Sci. Rev., 15, 205–266, 1973. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Sergeev, V. A., Pellinen, R. J., and Pulkkinen, T. I.: Steady Magnetospheric Convection: a review of recent results, Space Sci. Rev., 75, 551–604, 1996. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Shue, J.-H., Chao, J. K., Fu, H. C., Khurana, K. K., Russell, C. T., Singer, H. J., and Song, P.: Magnetopause location under extreme solar wind conditions, J Geophys. Res., 103, 17691–17700, 1998. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Shukhtina, M. A., Dmitrieva, N. P., and Sergeev, V. A.: Quantitative magnetotail characteristics of different magnetospheric states, Ann. Geophys., 22, 1019–1032, 2004. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Spreiter, J. R., Alksne, A. Y., and Summers, A. L.: Hydromagnetic flow around the magnetosphere, Planet. Space Sci., 14, 223–248, 1966. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Tsyganenko, N. A.: A model of the near magnetosphere with a dawn-dusk asymmetry. 1. Mathematical structure, J. Geophys.Res., 107, 1179, https://doi.org/10.1029/2001JA000219, 2002. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Tsyganenko, N. A. and Fairfield, D. H.: Global shape of the magnetotail current sheet as derived from Geotail and Polar data, J. Geophys. Res., 109, A03218, https://doi.org/10.1029/2003JA010062, 2004. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Yang, Y.-H., Chao, J. K., Lin, C.-H., Shue, J.-H., Wang, X.-Y., Song, P., Russell, C. T., Lepping, R. P., and Lazarus, A. J.: Comparison of three magnetopause prediction models under extreme solar wind conditions, J. Geophys.Res., 107, 1008, https://doi.org/10.1029/2001JA000079, 2002. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Yahnin, A., Malkov, M. V., Sergeev, V. A., Pellinen, R. J., Aulamo, O., et al.: Features of steady magnetospheric convection, J. Geophys. Res., 99, 4039–4051, 1994. </mixed-citation>
</ref>
</ref-list>
</back>
</article>