<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="correction" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Astron. Space Sci.</journal-id>
<journal-title>Frontiers in Astronomy and Space Sciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Astron. Space Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-987X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1197352</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1197352</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Correction</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Corrigendum: Magnetic field reconstruction for a realistic multi-point, multi-scale spacecraft observatory</article-title>
<alt-title alt-title-type="left-running-head">Broeren et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fspas.2023.1197352">10.3389/fspas.2023.1197352</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Broeren</surname>
<given-names>T.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1376810/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Klein</surname>
<given-names>K. G.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/904876/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>TenBarge</surname>
<given-names>J. M.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1909343/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dors</surname>
<given-names>Ivan</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Roberts</surname>
<given-names>O. W.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/694832/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Verscharen</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/892667/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Applied Mathematics</institution>, <institution>University of Arizona</institution>, <addr-line>Tucson</addr-line>, <addr-line>AZ</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Lunar and Planetary Laboratory</institution>, <institution>University of Arizona</institution>, <addr-line>Tucson</addr-line>, <addr-line>AZ</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Astrophysical Sciences</institution>, <institution>Peyton Hall</institution>, <institution>Princeton University</institution>, <addr-line>Princeton</addr-line>, <addr-line>NJ</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Space Research Institute</institution>, <institution>Austrian Academy of Sciences</institution>, <addr-line>Graz</addr-line>, <country>Austria</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Mullard Space Science Laboratory</institution>, <institution>University College London</institution>, <addr-line>Surrey</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Space Science Center</institution>, <institution>University of New Hampshire</institution>, <addr-line>Durham</addr-line>, <addr-line>NH</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited and reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/191391/overview">Georgios Balasis</ext-link>, National Observatory of Athens, Greece</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: T. Broeren, <email>broeren@email.arizona.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>10</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1197352</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>03</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Broeren, Klein, TenBarge, Dors, Roberts and Verscharen.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Broeren, Klein, TenBarge, Dors, Roberts and Verscharen</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<related-article id="RA1" related-article-type="corrected-article" journal-id="Front. Astron. Space Sci." journal-id-type="nlm-ta" xlink:href="10.3389/fspas.2021.727076" ext-link-type="doi">A Corrigendum on <article-title>Magnetic field reconstruction for a realistic multi-point, multi-scale spacecraft observatory</article-title> by Broeren T, Klein KG, TenBarge JM, Dors I, Roberts OW and Verscharen D (2021). Front. Astron. Space Sci. 8:727076. doi: <object-id>10.3389/fspas.2021.727076</object-id>
</related-article>
<kwd-group>
<kwd>plasma physics</kwd>
<kwd>magnetic fields</kwd>
<kwd>spacecraft</kwd>
<kwd>vector field reconstruction</kwd>
<kwd>space physics</kwd>
<kwd>curlometer</kwd>
<kwd>space mission analysis</kwd>
<kwd>multi-spacecraft analysis</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Space Physics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<p>In the published article, there was an error in <xref ref-type="fig" rid="F8">Figures 8</xref>&#x2013;<xref ref-type="fig" rid="F10">10</xref>. The word &#x201c;Turbulence&#x201d; was misspelled in all these figures titles as &#x201c;Trubulance&#x201d;. Additionally in <xref ref-type="fig" rid="F8">Figure 8</xref>, in this six-panel figure, the bottom-left panel was a duplicate of the top-right panel. The correct bottom-left panel has the title &#x201c;<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mn>1.4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Reconstruction&#x201d;.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Computation error (defined in <bold>Eq. 7</bold>) at all points on the z &#x3d; 0 plane of the turbulent magnetic field (from the Gkeyll Simulation), using the swarm configuration at hour 94 of the HelioSwarm DRM. The layout is identical to Figure 4.</p>
</caption>
<graphic xlink:href="fspas-10-1197352-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Computation error (defined in <bold>Eq. 7</bold>) at all points on the z &#x3d; 0 plane of the turbulent magnetic field (from the Gkeyll Simulation), using the swarm configuration at hour 144 of the HelioSwarm DRM. The layout is identical to Figure 4.</p>
</caption>
<graphic xlink:href="fspas-10-1197352-g009.tif"/>
</fig>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Computation error (defined in <bold>Eq. 7</bold>) at all points on the z &#x3d; 0 plane of the turbulent magnetic field (from the Gkeyll Simulation), using the swarm configuration at hour 205 of the HelioSwarm DRM. The layout is identical to Figure 4.</p>
</caption>
<graphic xlink:href="fspas-10-1197352-g010.tif"/>
</fig>
<p>In the published article, there was an error in <xref ref-type="fig" rid="F2">Figure 2</xref> as published. The data that was used to generate this figure was slightly mismatched with the data that was used throughout the rest of the paper to carry out the calculations.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Elongation and planarity of the 126 tetrahedron associated with the three nine-spacecraft configurations under consideration, with characteristic lengths shown in color.</p>
</caption>
<graphic xlink:href="fspas-10-1197352-g002.tif"/>
</fig>
<p>The corrected figures appear below.</p>
<p>In the published article, there was a typo in the second paragraph of <bold>Section 2.3.2</bold> there is a typo in one of the inline equations (the definition of proton thermal velocity). The correct equation is below:<disp-formula id="equ1">
<mml:math id="m2">
<mml:mrow>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:mspace width="2em"/>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msqrt>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Subsequently, a correction has been made to <bold>Section 2.3.2</bold>, paragraph 2.</p>
<p>The corrected sentence appears below:</p>
<p>&#x201c;Lengths are normalized to the proton gyroradius <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the ratio of the proton thermal speed <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula> and the proton cyclotron frequency <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mi>B</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.&#x201d;</p>
<p>The authors apologize for these errors and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.</p>
</body>
<back>
<sec sec-type="disclaimer" id="s1">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</back>
</article>