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Predicted times of bow Shock crossings at Venus from the ESA/Venus Express mission, using spacecraft ephemerides and magnetic field data, with a predictor-corrector algorithm

<p><strong>CHARACTERISTICS</strong><br> Planet: <strong>Venus</strong><br> Radius: <strong>R<sub>V</sub> = 6051.8 km</strong> (volumetric mean planetary radius)<br> Spacecraft: <strong>ESA/Venus Express</strong><br> Spacecraft coordinates system: <strong>Venus Solar Orbital (VSO)</strong> equivalent to <em>Sun-State </em>coordinate system:</p> <ul> <li>+<em>X<sub>VSO</sub></em>&nbsp;points towards the Sun from the planet&rsquo;s centre,</li> <li>+<em>Z<sub>VSO</sub></em>&nbsp;towards Venus&rsquo; North pole and perpendicular to the orbital plane defined as the&nbsp;<em>X<sub>VSO</sub></em>&ndash;<em>Y<sub>VSO</sub></em>&nbsp;plane passing through the centre of Venus,</li> <li><em>Y<sub>VSO</sub></em>&nbsp;completes the orthogonal system.</li> </ul> <p>Time span: <strong>01/04/2006 to 25/11/2014</strong><br> Total number N of candidate bow shock crossings in the database: <strong>N = 4950</strong><br> Number of quasi-parallel bow shock crossings: <strong>N<sub>||</sub> = 844</strong><br> Number of quasi-perpendicular bow shock crossings: <strong>N<sub><span class="math-tex">\(\perp\)</span></sub> = 4106</strong></p> <p><strong>ORIGINAL DATASETS USED</strong><br> The original Venus Express/MAG data repository on which these algorithms&nbsp;were applied is available on ESA&#39;s Planetary Science Archive system (PSA) at: https://archives.esac.esa.int/psa/ftp/VENUS-EXPRESS/MAG/.&nbsp;For this study, 1-Hz magnetic field data was used.</p> <p><strong>METHOD</strong><br> To construct this database from the original datasets above, the&nbsp;predictor and predictor-corrector algorithms used are described for the Mars case in:<br> Simon Wedlund, C., Volwerk, M., Beth, A., Mazelle, C.,&nbsp;M&ouml;stl, C., Halekas, J., Gruesbeck, J. and Rojas-Castillo, D.,&nbsp;(2021), A Fast Bow Shock Location Predictor-Estimator From 2D&nbsp;and 3D Analytical Models: Application to Mars and the MAVEN&nbsp;mission, <em>Journal of Geophysical Research</em>, <strong>127</strong>, e2021JA029942. <a href="https://doi.org/10.1029/2021JA029942">https://doi.org/10.1029/2021JA029942</a></p> <p>They consist of two consecutive steps:&nbsp;</p> <ol> <li>Predictor geometric algorithm based on 2D or 3D existing fits for prediction of the Venus bow shock&nbsp;position. The original fits were taken from 2D conic fits in the plane <span class="math-tex">\(\left(X_\text{VSO}, \sqrt{Y_\text{VSO}^2+Z_\text{VSO}^2}\right)\)</span>performed on the datasets of <strong>Persson et al. (2023)</strong>, Venusian bow shock crossings manually identified from measurements by the ASPERA-4 and MAG instruments onboard Venus Express, <em>Zenodo</em> (<a href="http://doi.org/10.5281/zenodo.7679677">https://doi.org/10.5281/zenodo.7679677</a>).</li> <li>Corrector algorithm based on magnetic field measurements.</li> </ol> <p>We also provide the angle between the average Interplanetary Magnetic Field (IMF)&nbsp;vector upstream of the shock and&nbsp;the shock normal, noted <span class="math-tex"><em>&theta;</em><sub><em>B</em><em>n</em></sub></span> (ThetaBn). Assuming a locally smooth shock surface, this gives a&nbsp;first indication of the geometry of the shock, so that:</p> <ul> <li><span class="math-tex">45<sup>∘</sup>&lt;<em>&theta;</em><sub><em>B</em><em>n</em></sub>&lt;135<sup>∘</sup></span>: quasi-perpendicular shock condition</li> <li><span class="math-tex"><em>&theta;</em><sub><em>B</em><em>n</em></sub>&le;45<sup>∘</sup> and <em>&theta;</em><sub><em>B</em><em>n</em></sub><span class="math-tex">\(\geq\)</span>135<sup>∘</sup></span>: quasi-parallel shock condition</li> </ul> <p>Uncertainty on these angles is estimated to be &plusmn; 5&ordm;.&nbsp;</p> <p>For details, see <strong>Simon Wedlund et al. (2022)</strong> above, &sect;2.3 pp. 10-12.</p> <p><strong>VARIABLES DESCRIPTION</strong></p> <p>This database contains the following ASCII variables:</p> <ul> <li>Bow shock times in Venus Express&#39; database (1-s resolution): <em>T</em><sub>bs</sub></li> <li>Venus Solar Orbital coordinates of the shock, in&nbsp;units of Venus radius <em>R</em><sub>V </sub>(<em>R</em><sub>V</sub> = 6051.8 km):<br> <em>X<sub>VSO</sub></em>,<sub>&nbsp;</sub><em>Y<sub>VSO</sub></em>,&nbsp;<em>Z<sub>VSO</sub></em>&nbsp;and Euclidean&nbsp;distance&nbsp;<span class="math-tex">\(R_{VSO} = \sqrt{X_{VSO}^2 + Y_{VSO}^2 + Z_{VSO}^2}\)</span>&nbsp;(in&nbsp;<em>R<sub>V</sub></em>)</li> <li>Solar Zenith angle in degrees:&nbsp;<em>SZA</em> = <span class="math-tex">\(\tan^{-1}{Y_{VSO}^2+Z_{VSO}^2 \over X_{VSO}^2}\)</span>&nbsp;(in&nbsp;&ordm;)&nbsp;</li> <li>Angle between average B-field direction and&nbsp;shock&nbsp;normal assuming a smooth shock surface <span class="math-tex">\(\theta_{Bn}\)</span>&nbsp;(ThetaBn,&nbsp;in &ordm;, calculated with atan2(norm(cross(<strong>B</strong>,<strong>&ntilde;</strong>),dot(<strong>B</strong>,<strong>&ntilde;</strong>)), with <strong>B</strong> the magnetic field vector and <strong>&ntilde;</strong> the vector normal to the shock surface): <ul> <li>45 &lt; ThetaBn &lt;&nbsp; 135 deg: quasi-<span class="math-tex">\(\perp\)</span> shock</li> <li>ThetaBn <span class="math-tex">\(\leq\)</span> 45 deg &amp; ThetaBn <span class="math-tex">\(\geq\)</span> 135 deg: quasi-|| shock</li> </ul> </li> <li>Interplanetary Magnetic Field (IMF) upstream average vector in VSO coordinates, <em>B<sub>x</sub></em>, <em>B<sub>y</sub></em>, <em>B<sub>z</sub></em> (in nT).</li> <li>Flag for direction of crossing: <ul> <li>flag = 0: magnetosheath <span class="math-tex">\(\longrightarrow\)</span>&nbsp;solar wind (2447 events)</li> <li>flag = 1: solar wind <span class="math-tex">\(\longrightarrow\)</span> magnetosheath (2503 events)</li> </ul> </li> </ul> <p><strong>WARNING</strong></p> <ol> <li>This version of the database is currently in a preliminary stage of application and, as such, is not fully tested. Solar wind upstream magnetic field values (IMF) are given only as a first approximation for each orbit segment. See point 2 for caveats. For carefully manually picked shock crossings, the user is referred to the database of:<br> <strong>Persson et al. (2023)</strong>, Venusian bow shock crossings manually identified from measurements by the ASPERA-4 and MAG instruments onboard Venus Express, <em>Zenodo</em> (<a href="http://doi.org/10.5281/zenodo.7679677">https://doi.org/10.5281/zenodo.7679677</a>)</li> <li>This database is based on an automatic statistical&nbsp;geometrical estimate, further refined by constraints on magnetic&nbsp;fields. This is aimed at giving a first approximation of the shock area times in the Venus Express data. It is particularly suited to&nbsp;statistical studies and region identification in the Venus Express datasets. As such, this database should be used as a <em>first&nbsp;indicator</em> of the shock location, and <em>with</em> <em>caution</em>: it <strong>CANNOT</strong>, and <strong>WILL NOT&nbsp;</strong>substitute, especially in case studies, for a careful analysis&nbsp;of the full magnetometer and plasma bow shock signatures.&nbsp;Moreover, the algorithm is optimised for detecting the first disturbance observed in&nbsp;the magnetic field immediately ahead of the shock&#39;s foot (in the foreshock area), and not for the detection of&nbsp;other structures in the shock, such as the shock ramp. The&nbsp;&quot;shock&quot;&nbsp;location is therefore given here with typical uncertainties of about 0.040 R<sub>V</sub> (with R<sub>V</sub> = 6051.8 km, i.e., about 250 km in the radial direction). Finally, for multiple shock crossings, the algorithm chooses the first occurrence of the shock starting from the undisturbed&nbsp;solar wind.</li> </ol> <p>Current formatting optimised for MATLAB.</p> <p><strong>ACKNOWLEDGEMENTS</strong><br> C. Simon Wedlund and M. Volwerk thank the Austrian Science Fund&nbsp;(FWF) project P32035-N36. &nbsp; &nbsp;</p> <p><strong>LICENSE AND RIGHTS</strong><br> This database is shared under a Creative Commons CC-BY-4.0 license.</p> <p>Version 1 (c) Cyril Simon Wedlund @ Space Research Institute of Graz (IWF),&nbsp;<br> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Austrian Academy of Sciences, 2022-10-05<br> Contact email: &nbsp; &nbsp; &nbsp; &nbsp;cyril.simon.wedlund@gmail.com</p>

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48/100

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8
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4
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20
Reuse readiness
8
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8

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