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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-40-531-2022</article-id><title-group><article-title>Multiple conjugate observations of magnetospheric fast flow bursts using THEMIS observations</article-title><alt-title>Multiple conjugate observations of magnetospheric fast flow bursts</alt-title>
      </title-group><?xmltex \runningtitle{Multiple conjugate observations of magnetospheric fast flow bursts}?><?xmltex \runningauthor{H.~Aryan~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Aryan</surname><given-names>Homayon</given-names></name>
          <email>aryan.homayon@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bortnik</surname><given-names>Jacob</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Jinxing</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0500-1056</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Weygand</surname><given-names>James Michael</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Chu</surname><given-names>Xiangning</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4109-0770</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Angelopoulos</surname><given-names>Vassilis</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>University of California Los Angeles, Atmospheric and Oceanic Sciences, Math Sciences Building, Los Angeles, <?xmltex \hack{\break}?> California 90095-1565, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth, Planetary and Space Sciences, University of California Los Angeles, California 90095, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, Colorado 80303, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Homayon Aryan (aryan.homayon@gmail.com)</corresp></author-notes><pub-date><day>5</day><month>August</month><year>2022</year></pub-date>
      
      <volume>40</volume>
      <issue>4</issue>
      <fpage>531</fpage><lpage>544</lpage>
      <history>
        <date date-type="received"><day>20</day><month>January</month><year>2022</year></date>
           <date date-type="accepted"><day>14</day><month>June</month><year>2022</year></date>
           <date date-type="rev-recd"><day>12</day><month>May</month><year>2022</year></date>
           <date date-type="rev-request"><day>26</day><month>January</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Homayon Aryan et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022.html">This article is available from https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022.html</self-uri><self-uri xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e142">Magnetotail earthward fast flow bursts can transport most magnetic flux and energy into the inner magnetosphere. These fast flow bursts
are generally an order of magnitude higher than the typical convection speeds that are azimuthally localised (1–3 <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and are flanked by
plasma vortices, which map to ionospheric plasma vortices of the same sense of rotation. This study uses a multipoint analysis of conjugate
magnetospheric and ionospheric observations to investigate the magnetospheric and ionospheric responses to fast flow bursts that are associated
with both substorms and pseudobreakups. We study in detail what properties control the differences in the magnetosphere–ionosphere responses between
substorm fast flow bursts and pseudobreakup events, and how these differences lead to different ionospheric responses. The fast flow bursts and
pseudobreakup events were observed by the Time History of Events and Macroscale Interaction during Substorms (THEMIS), while the primary ionospheric
observations were made by all-sky cameras and magnetometer-based equivalent ionospheric currents. These events were selected when the satellites
were at least 6 <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the Earth in radial distance and a magnetic local time (MLT) region of <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> from local midnight. The
results show that the magnetosphere and ionosphere responses to substorm fast flow bursts are much stronger and more structured compared to
pseudobreakups, which are more likely to be localised, transient and weak in the magnetosphere. The magnetic flux in the tail is much stronger for
strong substorms and much weaker for pseudobreakup events. The <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreases significantly for substorm fast flow bursts compared to
pseudobreakup events. The curvature force density for pseudobreakups are much smaller than substorm fast flow events, indicating that the
pseudobreakups may not be able to penetrate deep into the inner magnetosphere. This association can help us study the properties and activity of the
magnetospheric earthward flow vortices from ground data.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e202">Magnetic reconnection in the Earth's magnetosphere converts open magnetic flux in the lobes into closed magnetic flux in the plasmasheet. A
magnetospheric substorm is an important energy unloading process in the magnetosphere. This process converts lobe magnetic energy into the thermal
and kinetic energy of fast flow bursts, which are also known as bursty bulk flows (BBFs) in the central plasmasheet <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx47 bib1.bibx51 bib1.bibx14 bib1.bibx6 bib1.bibx7" id="paren.1"/>. These processes may repeat many times in the course of a moderate to strong substorm
<xref ref-type="bibr" rid="bib1.bibx66" id="paren.2"/>. These bursty bulk flows are an important component of plasmasheet dynamics during many different geomagnetic activity
conditions. They are a common feature of radial transport throughout the plasmasheet and typically are associated with magnetic field dipolarisations
<xref ref-type="bibr" rid="bib1.bibx55" id="paren.3"/> and plasmasheet heating <xref ref-type="bibr" rid="bib1.bibx64" id="paren.4"/>. They are observed on short timescales of around minutes and small-scale sizes of a
few Earth radius (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the <inline-formula><mml:math id="M7" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> directions <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx41" id="paren.5"/>. They exhibit large earthward velocities that are usually an order of
magnitude higher than the typical convection speeds, and transport magnetic flux and energy into the inner magnetosphere that often decelerate and stop
at around 8–10 <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx52 bib1.bibx32 bib1.bibx63 bib1.bibx66 bib1.bibx42" id="paren.6"/>. The rebound of earthward fast flow
bursts can also cause a tailward fast flow <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx21" id="paren.7"/>. Even though substorms are closely associated with fast flow bursts generated
by magnetic reconnection in the tail <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx43" id="paren.8"/>, not all fast flow bursts are necessarily associated with a global response (e.g.
<xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx50 bib1.bibx25" id="altparen.9"/>) and they can also form spontaneously <xref ref-type="bibr" rid="bib1.bibx68" id="paren.10"/>. It was shown that the strength of a
substorm is related to the magnetic flux accumulated in the inner magnetosphere <xref ref-type="bibr" rid="bib1.bibx26" id="paren.11"/>. Furthermore, the midlatitude positive bay (MPB)
index is used to distinguish the difference between global substorms and pseudobreakups <xref ref-type="bibr" rid="bib1.bibx24" id="paren.12"/>. It is insensitive to the localised fine
structure of the electrojet and can capture the global substorm current wedge well. Using a list of global substorms and pseudobreakups, it was found
that substorm-onset-related fast flows are associated with stronger dipolarisations in Bz and larger magnetic flux transport rates than non-substorm
fast flows <xref ref-type="bibr" rid="bib1.bibx38" id="paren.13"/>. Many fast flow bursts are associated with localised, transient and weak responses in the magnetosphere and ionosphere
<xref ref-type="bibr" rid="bib1.bibx38" id="paren.14"/>, and may not involve auroral brightening <xref ref-type="bibr" rid="bib1.bibx59" id="paren.15"/> or plasmasheet injections (narrow high-speed flow bursts that were
initially studied in detail as a substorm phenomenon <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx14 bib1.bibx44 bib1.bibx46" id="paren.16"/> at a geosynchronous orbit (GEO) due to the
availability of many satellite observations in this region) <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx20" id="paren.17"/>. However, substorm fast flow bursts are more likely to
penetrate closer to the Earth and are typically accompanied by a larger magnetic field increase and magnetic field energy input than non-substorm
fast flow bursts <xref ref-type="bibr" rid="bib1.bibx38" id="paren.18"/>.</p>
      <p id="d1e298">The magnetospheric substorm disturbances are associated with the formation of the substorm current wedge (SCW) <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx35 bib1.bibx36 bib1.bibx48" id="paren.19"/> that electrically couples the near-Earth plasmasheet with the ionosphere through at least one pair of downward and upward
field-aligned currents (FACs) <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx69" id="paren.20"/>. The pressure gradient of current and inertial current are thought to be the sources of the SCW
<xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx18" id="paren.21"/>, both of which are perpendicular currents and are believed to be diverted to form the field-aligned portion of the SCW
<xref ref-type="bibr" rid="bib1.bibx34" id="paren.22"/>. The field-aligned currents within the ionosphere are connected to one another via mostly Pedersen currents. The westward
electrojet and eastward electrojet are mostly Hall currents that are believed to be anti-parallel to the ionospheric convection. The auroral
brightening associated with substorm onset is the deposition of electrons into the ionosphere <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx51 bib1.bibx45" id="paren.23"/>,
typically associated with the upward field-aligned current as the magnetic field lines become more depolarised and the SCW intensifies
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.24"/>.</p>
      <p id="d1e320">The magnetosphere–ionosphere responses between substorm and non-substorm (pseudobreakups) events have been studied in the past (e.g.
<xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx37 bib1.bibx53 bib1.bibx16 bib1.bibx17" id="altparen.25"/>). They have concluded that substorms and pseudobreakups have common
responses (e.g. fast flows, dipolarisations, injections, electrojet and current wedge) without phenomenological differences. The differences between
substorms and pseudobreakups are thought to be the strength, scale size and duration of activity; substorms have stronger and global activity, but
non-substorm conditions have weaker and localised activity. It has been shown that the substorm–time ionospheric currents have clockwise and
counter-clockwise vortices <xref ref-type="bibr" rid="bib1.bibx34" id="paren.26"/> that are connected to plasma flow vortices in the magnetosphere <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx23" id="paren.27"/>. However, there is limited direct observational evidence of this connection, largely due to the difficulty of finding
conjunctions. <xref ref-type="bibr" rid="bib1.bibx34" id="text.28"/> performed a multipoint analysis of conjugate magnetospheric and ionospheric flow vortices for a single substorm-related fast flow bursts to show that the equivalent ionospheric current (EIC) vortices were directly driven by the vortices observed in the
magnetosphere. This study uses a multipoint analysis of conjugate magnetospheric and ionospheric observations to investigate the magnetospheric and
ionospheric responses to fast flow bursts that are associated with both substorms and pseudobreakups. In this study, we look into what properties
control the differences in the magnetosphere–ionosphere responses between substorm fast flows and pseudobreakup events, and how these differences lead
to different ionospheric responses. We analyse the Time History of Events and Macroscale Interaction during Substorms (THEMIS) observations and
the all-sky imager (ASI) data on the ground. We then select three pairs of fast flow and pseudobreakup events that were observed by all three inner THEMIS
satellites (THEMIS A, D and E) on the nightside, and study their properties.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data</title>
      <p id="d1e343">The THEMIS mission <xref ref-type="bibr" rid="bib1.bibx5" id="paren.29"/> was launched in February 2007 and consists of five identically equipped satellites (A, B, C, D
and E). The main goal of this mission is to carry out multipoint investigations of substorm phenomena in the tail of the terrestrial magnetosphere
<xref ref-type="bibr" rid="bib1.bibx67" id="paren.30"/>. The fluxgate magnetometer (MAG) measures the background magnetic field <xref ref-type="bibr" rid="bib1.bibx13" id="paren.31"/>. The electric field
instrument (EFI) <xref ref-type="bibr" rid="bib1.bibx22" id="paren.32"/> measures the wave electric field. The electrostatic analyser (ESA) measures the thermal
(5 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>–25 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>) ions and electrons (McFadden et al., 2008). The solid state telescope (SST) measures the hot (25 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>
to <inline-formula><mml:math id="M13" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MeV</mml:mi></mml:mrow></mml:math></inline-formula>) ions and electrons <xref ref-type="bibr" rid="bib1.bibx7" id="paren.33"/>. In this study, observations from the three inner probes (A, D and E) are analysed to
identify fast flow bursts that were observed when the three satellites were closely separated on the nightside, located at least 6 <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> away from
the Earth in radial distance and within a magnetic local time (MLT) region of <inline-formula><mml:math id="M16" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> from local midnight.</p>
      <p id="d1e428">The all-sky imager (ASI) data on the ground are analysed to complement the response of the ionosphere to fast flow bursts. The ground data provide
contextual information of the processes observed in space by providing a two-dimensional view of the injection's formation and propagation and
its connection to the substorm evolution. A series of ground magnetometer arrays are used to generate the equivalent ionospheric currents (EICs) and
current amplitudes at 10 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> resolution, using the spherical elementary current systems (SECS) technique <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4 bib1.bibx71 bib1.bibx72 bib1.bibx70" id="paren.34"/>. This consists of a curl-free system whose divergences represent the FACs. It also consists of a
divergence-free elementary system that is contained entirely within the ionosphere <xref ref-type="bibr" rid="bib1.bibx4" id="paren.35"/>. This study analyses the EICs during conjunctions
with the THEMIS satellites for the selected fast flow cases.</p>
      <p id="d1e445">The electron flux data at a geostationary orbit are measured by the magnetospheric electron detector (MAGED) <xref ref-type="bibr" rid="bib1.bibx62" id="paren.36"/> on board the
Geostationary Operational Environmental Satellite (GOES) 13 and 15. The MAGED operates on five energy channels: 40, 75, 150, 275 and 475 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>,
and has nine telescopes pointing in different directions.</p>
      <p id="d1e459">The substorms are identified using the midlatitude positive bay (MPB) index <xref ref-type="bibr" rid="bib1.bibx49" id="paren.37"/> and by checking the SuperMAG auroral electrojet indices
(SMU and SML) <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx58" id="paren.38"/>. The MPB index is calculated as the moving variance of changes in the <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> components (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M23" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), obtained generally from 20 to 53 stations at midlatitudes (20–52<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in
magnetic latitude) from the International Real-time Magnetic Observatory 127 Network <xref ref-type="bibr" rid="bib1.bibx24" id="paren.39"/>.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Selection criteria</title>
      <p id="d1e540">In this study, we analysed the THEMIS observations to identify fast flow burst events that were observed by all three inner THEMIS satellites (THEMIS A,
D and E) at the end of 2015 when the THEMIS configuration was identical to that considered by <xref ref-type="bibr" rid="bib1.bibx65" id="text.40"/> and was recreated by the THEMIS
mission operations team. This unique tail science phase configuration lasted around three months (October, November and December). The configuration of
the three THEMIS spacecraft were very favourable for determining the magnetic field gradients and plasma parameters in the magnetotail. This was because the
<inline-formula><mml:math id="M26" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> coordinates of the three satellites were almost the same and it could be assumed that all differences between the magnetic field measured at the
three satellites are caused by the satellite separation in the (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) plane, allowing us to derive the time-varying parameters, such as the current density,
lobe magnetic field, curvature force density and plasma pressure.</p>
      <p id="d1e566">We studied the data from this unique tail science phase configuration to identify pairs of fast flows (where one event represented pseudobreakups and
another event represented substorm fast flow burst) that occurred within a few hours of each other on the same orbit (so that the background
conditions were as similar as possible), during close separation between the three inner THEMIS satellites on the nightside, located at least
6 <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> away from the Earth in radial distance and within a magnetic local time (MLT) region of <inline-formula><mml:math id="M29" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> from local midnight. The MPB
index and the auroral electrojet indices were used to distinguish between pseudobreakups (quiet conditions) and substorm (active conditions) fast flow
bursts, where the MPB substorm is defined as the MPB index larger than 25 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. The SuperMAG auroral electrojet indices (SMU and SML) were
checked and plotted for convenience to show the difference for substorm fast flow bursts and pseudobreakup events. The MPB index is used because it is
insensitive to the localised fine structure of the electrojet and can capture the global substorm current wedge well.</p>
      <p id="d1e606">In addition, the fast flow bursts were selected based on at least one sample of the perpendicular velocity projected to the <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math></inline-formula> plane exceeding
150 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The start/end time of the fast flow bursts were defined by the first/last time when the earthward velocity component exceeded
120 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The observations while the THEMIS satellites were in the eclipse were excluded. Fast flow bursts that occurred within
60 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of each other were merged into one flow <xref ref-type="bibr" rid="bib1.bibx38" id="paren.41"/>. The above criteria allowed us to identify the three pairs of fast flow bursts that are
discussed in this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e667">THEMIS spacecraft in situ measurements for fast flow burst Cases 1 and 2 that were observed on 25 December 2015. The pseudobreakup events are highlighted in green (Case 1), while the substorm fast flow burst events are highlighted in yellow (Case 2). <bold>(a)</bold> The auroral electrojet indices SMU, SML and MPB index, <bold>(b–d)</bold> the 3-D magnetic field measured by THEMIS A, D and E, respectively, and <bold>(e–g)</bold> the perpendicular ion velocity measured by THEMIS A, D and E, respectively.</p></caption>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e687">THEMIS spacecraft in situ measurements for fast flow burst Cases 3 and 4 that were observed on 20 December 2015. The caption of Fig. <xref ref-type="fig" rid="Ch1.F1"/> applies.</p></caption>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e700">THEMIS spacecraft in situ measurements for fast flow burst Cases 5 and 6 that were observed on 10 December 2015. The caption of Fig. <xref ref-type="fig" rid="Ch1.F1"/> applies.</p></caption>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Observations</title>
      <p id="d1e719">The THEMIS spacecraft in situ measurements for six selected fast flow burst cases are shown in Figs. <xref ref-type="fig" rid="Ch1.F1"/>–<xref ref-type="fig" rid="Ch1.F3"/>. The pseudobreakups fast flow
bursts are highlighted in green (Cases 1, 3 and 5), while substorm-related fast flow bursts are highlighted in yellow (Cases 2, 4
and 6). Figure <xref ref-type="fig" rid="Ch1.F1"/> shows the pair of fast flow bursts – Cases 1 and 2 – that were observed on 25 December 2015. The pseudobreakups fast flow burst,
Case 1, was observed around 05:35 UT by all three THEMIS spacecraft. The MPB index was around 5 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and all three spacecraft observed magnetic
field fluctuations. The Bx magnetic field component decreased by <inline-formula><mml:math id="M37" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>, while the Bz magnetic field component increased by
<inline-formula><mml:math id="M39" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. THEMIS D observed the maximum ion perpendicular velocity of around 725 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the <inline-formula><mml:math id="M42" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> direction. Approximately
2.5 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> later, at around 08:17 UT, all three THEMIS spacecraft observed another burst of fast flows, i.e. Case 2. The MPB index increased to just over
200 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and all three THEMIS spacecraft observed a significant fluctuation in magnetic field and ion perpendicular velocity, which was consistent
across all three spacecraft. The Bx and Bz magnetic field components increased, while THEMIS D observed the maximum ion perpendicular velocity of around
310 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the <inline-formula><mml:math id="M46" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> direction.</p>
      <p id="d1e838">Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the pair of fast flow bursts, Cases 3 and 4, that were observed on 20 December 2015. The pseudobreakups fast flow burst, Case 3,
was observed around 02:40 UT by all three THEMIS spacecraft, when the MPB index was around 20 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. All three spacecraft observed fluctuations in
magnetic field and ion perpendicular velocity. The peak ion perpendicular velocity of around 290 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was observed by THEMIS A, while all
three spacecraft observed an increase in the Bz magnetic field component. On the other hand, the substorm fast flow burst, Case 4, was observed around
2 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> later. The MPB index increased to more than 2500 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, indicating a large substorm. All three THEMIS spacecraft observed a significant
variation in magnetic field and ion perpendicular velocity. The peak ion perpendicular velocity, around 530 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, was observed by
THEMIS E. In addition, Fig. <xref ref-type="fig" rid="Ch1.F3"/> shows the pair of fast flow bursts, Cases 5 and 6, that were observed on 10 December 2015. The pseudobreakups
fast flow burst, Case 5, was observed around 06:50 UT when the MPB index was around 10 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. All three THEMIS spacecraft observed fluctuations
in magnetic field and ion perpendicular velocity. In this case, THEMIS E observed the largest peak ion velocity of around 600 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The
substorm fast flow burst was observed less than an hour later at around 07:40 UT, as the MPB index increased to around 570 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Again, the
fluctuations in the magnetic field and ion perpendicular velocity were consistently observed by all three THEMIS spacecraft. The Bx magnetic field
components decreased, while THEMIS D observed the maximum ion perpendicular velocity of around 500 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the <inline-formula><mml:math id="M56" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> direction.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e976">The location of the three THEMIS satellites (THEMIS A, D and E) in the GSM coordinate system for the selected fast flow burst Cases 1–6. The green and yellow dots indicate the exact location where each fast flow burst was observed along the spacecraft orbit.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f04.png"/>

      </fig>

      <p id="d1e986">The location of the three THEMIS spacecraft (THEMIS A, D and E) in the GSM coordinate system for the selected fast flow bursts is shown in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>. The yellow and green dots indicate where each fast flow was observed along the orbit of each THEMIS spacecraft. During the observation
of these six fast flow burst events, the configuration of the three THEMIS spacecraft was very favourable for determining the magnetic field gradients and
plasma parameters in the magnetotail because the <inline-formula><mml:math id="M57" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> coordinates of the three satellites were almost the same and it could be assumed that all differences
between the magnetic field measured at the three satellites are caused by satellite separation in the (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) plane. In the tail science phase
(September to December 2015), the apogee of the three THEMIS spacecraft was approximately 12 <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The probes
were separated by 1000 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> to a few Earth radii at apogee. In addition, during the observation of the selected fast flow bursts, at least one
of the two GOES 13 and 15 satellites were ideally located on the nightside to observe injections that may have been associated with the earthward fast
flow bursts. The next section discusses the derived equivalent ionospheric currents and current amplitudes (the current amplitudes are simply the
current perpendicular to the ionosphere at an altitude of 100 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), the ASI data on the ground and the electron flux data from the MAGED
measurements on board the GOES 13 and 15 satellites associated with each fast flow burst.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1041">The derived equivalent ionospheric currents and current amplitudes plotted over a sequence of ASI mosaics for fast flow burst Case 4 on 20 December 2015. The yellow arrows represent the direction and the strength of the horizontal currents. The blue squares and the red plus signs show the current amplitudes. The red lines mark the midnight local time. The footprints of the three THEMIS satellites at an altitude of 110 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> are marked by letters A (THEMIS A), D (THEMIS D), and E (THEMIS E). Each ASI field of view is approximately 800 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> when mapped to a 110 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. The green circles mark the area of discussion. The snapshots show measurements <bold>(a, b)</bold> before, <bold>(c, d)</bold> during, and <bold>(e, f)</bold> after the fast flow burst.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f05.png"/>

      </fig>

      <p id="d1e1084">The substorm ionospheric currents are typically accompanied with a clockwise and a counter-clockwise vortex associated with corresponding vortices in
the magnetosphere. Multipoint analysis of conjugate magnetospheric and ionospheric flow vortices for a single substorm-related fast flow burst was
performed by <xref ref-type="bibr" rid="bib1.bibx34" id="text.42"/> to show that the EIC vortices were directly driven by the flow vortices in the magnetosphere. In this study, we
investigate the magnetospheric and ionospheric response to fast flow bursts during both substorm and non-substorm times. We analysed in detail the six
fast flow burst cases. Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the derived EICs and their current amplitudes plotted over ASI mosaics for fast flow burst Case 4 that
was observed on 20 December 2015. This fast flow burst corresponds to Case 4, which is a substorm-time flow and the THEMIS satellites began observing
the flow around 04:50 UT on 20 December 2015 (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Before the initiation of the flow burst, <inline-formula><mml:math id="M65" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 04:45 UT (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and b),
there were very weak, large-scale clockwise flow vortices that overlapped with the footprint of the THEMIS satellites. The centre of the vortex is
located at about 55<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> Glat and 257<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> WGLong (marked by green circles). Note that clockwise and counter-clockwise rotations correspond to
downward and upward FAC, respectively. At this time there were only downward region 2 and upward region 1 currents. Two thin equatorward drifting
east–west auroral arcs, moving south in ASIs WHIT (61<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 225<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), FSIM (62<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 239<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), FSMI (60<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 248<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), and
ATHA (55<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 247<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) were also observed starting at about 04:45 UT. However, during the fast flow burst event,
<inline-formula><mml:math id="M76" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 04:50 UT (Fig. <xref ref-type="fig" rid="Ch1.F5"/>c and d), relatively stronger counter-clockwise current vortices develop at 52<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> GLat and 265<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> WGlong
and the downward region 1 current system and upward Harang current intensifies just north and south, respectively of the THEMIS satellite foot
points. An intensified westward electrojet and the poleward arc formed/brightened in ASIs FSIM and FSMI at about 04:53 UT. The strong current vortices in the equivalent ionospheric currents were continuously observed and intensified to the end of the fast flow
burst, <inline-formula><mml:math id="M79" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 04:58 UT (Fig. <xref ref-type="fig" rid="Ch1.F5"/>e and f). A streamer in ASIs FSMI and ATHA is also observed starting at about 04:53 UT and ending by about 05:02 UT. The equivalent currents closest to the streamer point poleward from about 04:53 to
04:55 UT, then rotates and point toward the SW from 04:57 to 05:02 UT. The aurora brightened at
the ATHA ASI from about 04:51 UT and moved poleward into the field of view of the RANK ASI starting at
04:56 UT. These observations are consistent with past observations <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx38" id="paren.43"/>, indicating that the
ionospheric currents are associated with plasma flow vortices in the magnetosphere for fast flow bursts that are associated with substorms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1237">The derived equivalent ionospheric currents and current amplitudes plotted over a sequence of ASI mosaics for fast flow burst Case 1 on 25 December 2015. The caption of Fig. <xref ref-type="fig" rid="Ch1.F2"/> applies.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f06.png"/>

      </fig>

      <p id="d1e1248">The same analysis was performed on pseudobreakups. Figure <xref ref-type="fig" rid="Ch1.F6"/> shows the derived equivalent ionospheric currents and their current amplitudes
plotted over a sequence of ASI mosaics for fast flow burst Case 1. This fast flow burst occurred during relatively quiet geomagnetic activity
conditions and the inner THEMIS satellites began observing the flow around 05:35 UT on 25 December 2015 (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Before the initiation of
this fast flow burst, <inline-formula><mml:math id="M80" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 05:30 UT (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and b), the EICs were very weak and the ASIs did not observe significant activity. However,
during the fast flow burst, <inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 05:38 UT (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c and d), larger EICs were observed near the satellite foot points. This enhancement in
the EICs begins at about 05:37 UT.  To west of the spacecraft foot points the EICs point southward and to the east of the
footpoints the EICs point poleward indicating the foot points are within the Harang current system. The EICs continued to strengthen to the end of the
fast flow burst, <inline-formula><mml:math id="M82" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 05:50 UT (Fig. <xref ref-type="fig" rid="Ch1.F6"/>e and f). During the fast flow burst the spacecraft foot points were located in the upward (red)
Harang current and between a downward region 1 current system and a downward region 2 current system. Starting at 05:49 UT
an auroral streamer appears between the downward and upward currents, consistent with the magnetospheric fast flow burst <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx54 bib1.bibx56" id="paren.44"/>. Figure <xref ref-type="fig" rid="Ch1.F6"/>e shows a streamer was present in both the GILL (56<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> 265<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and RANK (63<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
268<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) ASIs between 05:49 and 05:51 UT, but the poleward pointing EICs suggest that the streamer is present until about 05:57 UT (marked by green circles). The EICs just to the east of the streamer pointed poleward, which is a good indicator
of ionospheric flow from the north to the south and consistent with a north–south streamer. The current density near the foot point of the THEMIS
spacecraft just prior to the fast flow burst at 05:35 UT had current density of about 0.1 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and
increased to a peak value of 1 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> near the end of the flow burst. This shows that although the ionosphere current response to the
pseudobreakups is not as strong as it is for substorm fast flow bursts, nevertheless it is still connected to plasma flow vortices in the
magnetosphere.</p>
      <p id="d1e1364">The earthward fast flow bursts could also play an important role in actively accelerating particles or directly injecting energetic particles into the
inner magnetosphere. At substorm onset, the particle flux increases and often lasts tens of minutes to over an hour. In this study, we analyse the
electron flux data from the MAGED observations on board the GOES 13 and 15 satellites. These two satellites were ideally positioned on the nightside
to observe such injections for the selected fast flow burst cases.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1369">THEMIS spacecraft in situ measurements for pseudobreakup Case 1 on 25 December 2015. <bold>(a–c)</bold> The magnetic field measured by THEMIS A, D and E, respectively, <bold>(d–f)</bold> the perpendicular ion velocity measured by THEMIS A, D and E, respectively, <bold>(g)</bold> the magnetic lobe (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(h)</bold> the curvature force density (<inline-formula><mml:math id="M90" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>), <bold>(i, j)</bold> the magnetic field from GOES 13 and GOES 15, respectively, <bold>(k)</bold> electron flux measured by GOES 13 and <bold>(l)</bold> electron flux measured by GOES 15. The grey vertical lines mark the location of peak perpendicular ion velocity observed by each satellite associated with the fast flow bursts.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f07.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1420">THEMIS and GOES in situ measurements for substorm fast flow burst Case 2 on 25 December 2015. The caption of Fig. <xref ref-type="fig" rid="Ch1.F7"/> applies.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://angeo.copernicus.org/articles/40/531/2022/angeo-40-531-2022-f08.png"/>

      </fig>

      <p id="d1e1431">The magnetosphere response to pseudobreakups, Case 1, at around 05:35 UT on 25 December 2015 is presented in Fig. <xref ref-type="fig" rid="Ch1.F7"/>. The magnetic field
measured by THEMIS A, D and E, respectively, is shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>a–c, while the perpendicular
ion velocity measured by THEMIS A, D and E, respectively, is shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>d–f, and the magnetic field from GOES 13
and GOES 15 is shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>i and j, respectively. Figure <xref ref-type="fig" rid="Ch1.F7"/>k and l show the electron
flux measured by GOES 13 and GOES 15, respectively. The grey vertical lines mark the peak perpendicular velocity associated with each fast flow burst
as observed by each THEMIS spacecraft. It is clear that both GOES 13 and GOES 15 satellites did not observe significant flux increase for any of the
five energy channels (40, 75, 150, 275 and 475 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>). Also, both GOES 13 and GOES 15 did not observe any significant variation in the magnetic
field. For this particular case, both GOES 13 and GOES 15 spacecraft were located on the nightside, around 6 <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> away from the THEMIS
spacecraft at around 0.5 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula> and 21 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The GOES 13 spacecraft was located slightly to the dawn-side, around 2 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
MLT from the THEMIS spacecraft, and may have not been able to observe injections related to the fast flow burst. However, the GOES 15 spacecraft was
within 1 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>  MLT from the three THEMIS spacecraft and ideally located to observe injections associated with the fast flow burst, but did not observe
anything. This is an indication that pseudobreakups may only cause localised particle injections that do not penetrate very deep into the
magnetosphere and, hence, are not observed at geosynchronous orbit. The same can be shown for the other two pseudobreakup cases (Case 3 and 5) presented
in this study.</p>
      <p id="d1e1496">Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the magnetosphere response to substorm fast flow bursts, Case 2, at around 08:17 UT on 25 December 2015. Clearly, both
GOES 13 and GOES 15 observed significant flux increases in multiple energy channels. In this case, the GOES 15 spacecraft was within the same MLT hour
(<inline-formula><mml:math id="M97" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>23 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MLT</mml:mi></mml:mrow></mml:math></inline-formula>). GOES 15 began observing a flux increase at 08:17 across all five energy channels (40, 75, 150, 275 and 475 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>), with
the most significant increases in flux observed at low energies (e.g. 40, 75 and 150 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>), which were more pronounced (by up to 2 orders of
magnitude). GOES 13 also observed an increase in flux across all energy channels a few minutes later despite being located more than
3 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>  MLT away on the dawn-side. This shows that substorm fast flow bursts are more likely to produce a strong inner magnetosphere
response. The other two substorm fast flow bursts also show strong magnetosphere responses that were similarly observed by the GOES spacecraft. It is
worth noting that we studied flux observations for other geosynchronous satellites that were ideally located on the nightside to observe such
injections at the time of these fast flow bursts, such as the Los Alamos National Laboratory (LANL) satellites, for which similar particle injections
were observed.</p>
      <p id="d1e1542">In addition, to understand the difference in the magnetospheric response between substorm fast flow bursts and pseudobreakups, we studied the
curvature force density (<inline-formula><mml:math id="M102" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx61" id="paren.45"/>, estimated based on equatorial pressure gradient (Figs. <xref ref-type="fig" rid="Ch1.F7"/>h
and <xref ref-type="fig" rid="Ch1.F8"/>h) and the magnetic lobe (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) (Figs. <xref ref-type="fig" rid="Ch1.F7"/>g
and <xref ref-type="fig" rid="Ch1.F8"/>g), using the unique configuration of the three THEMIS spacecraft in close proximity and
coplanar, with the normal directed along <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi mathvariant="normal">gsm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx8" id="paren.46"/>. The results show a clear and consistent difference between pseudobreakups and substorm fast flow bursts. For pseudobreakups (Fig. <xref ref-type="fig" rid="Ch1.F7"/>), the <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreased from <inline-formula><mml:math id="M106" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 42 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> before the fast flow burst to
<inline-formula><mml:math id="M108" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula> after the fast flow burst, while there were fluctuations during the fast flow burst. The curvature force density also fluctuated,
but was largely similar and relatively small before and after the fast flow burst (<inline-formula><mml:math id="M110" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). These observations are largely
consistent for all three pseudobreakups, indicating that the pseudobreakups may not be able to penetrate deep into the inner magnetosphere
<xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx27" id="paren.47"/>.</p>
      <p id="d1e1677">In contrast, for substorm fast flow bursts shown in Fig. <xref ref-type="fig" rid="Ch1.F8"/>, the decrease in <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value was much more apparent as <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
decreased from <inline-formula><mml:math id="M116" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 54 to <inline-formula><mml:math id="M117" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nT</mml:mi></mml:mrow></mml:math></inline-formula>. Also, the fluctuations consisted of larger amplitudes and higher
frequencies. The curvature force density increased gradually to <inline-formula><mml:math id="M119" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>3400 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> before the fast flow burst, which was much larger
than what was observed for pseudobreakups (Fig. <xref ref-type="fig" rid="Ch1.F7"/>h). As energy is released during the fast flow burst, the curvature force density decreased to
<inline-formula><mml:math id="M123" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 800 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">nT</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and remained relatively low, with large amplitude and high frequency fluctuations. These observations indicate that
much more magnetic flux and energy <xref ref-type="bibr" rid="bib1.bibx26" id="paren.48"/> is released during substorm fast flow bursts than pseudobreakups and, hence, the substorm fast flow
bursts are capable of penetrating deeper into the inner magnetosphere <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx27" id="paren.49"/>. Figures and videos for all the cases that
are not shown here are provided as supplementary material.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d1e1825">In this study, a multipoint analysis of conjugate magnetospheric and ionospheric observations was used to investigate the magnetospheric and
ionospheric responses to substorm fast flow bursts and pseudobreakup events. The three inner THEMIS spacecraft's (THEMIS A, D and E) in situ measurements
of THEMIS observations were used to select three pairs of fast flow bursts associated with substorm and pseudobreakup events. These fast flow bursts were
observed during close separations on the nightside, beyond 6 <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">E</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the Earth in radial distance and a magnetic local time (MLT) region of
<inline-formula><mml:math id="M128" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> from local midnight. The unique tail science phase configuration of the three THEMIS spacecraft provided the opportunity to study in
detail the magnetospheric and ionospheric response to each substorm fast flow burst and pseudobreakup event, allowing us to derive time-varying
parameters, such as the current density, lobe magnetic field, curvature force density and plasma pressure. Using these parameters, we were able to
compare and understand what properties control the differences in the magnetosphere–ionosphere responses between substorm fast flow bursts and
pseudobreakup events, and how these differences lead to different ionospheric responses.</p>
      <p id="d1e1854">The results show that ionospheric currents respond to both substorm fast flow bursts and pseudobreakup events. This indicates that the ionosphere
currents are created by plasma flow vortices in the magnetosphere for fast flow bursts that are associated with substorms fast flow bursts and
pseudobreakup events. The magnetic flux in the tail is much stronger for strong substorms and much weaker for pseudobreakup events. The
<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreases significantly (by up to 40<inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">%</mml:mi></mml:math></inline-formula>) for substorm fast flow bursts, but is a much smaller decrease in <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>lobe</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for
pseudobreakup events. The curvature force density for pseudobreakups is much smaller than substorm fast flow events, indicating that the
pseudobreakups may not be able to penetrate deep into the inner magnetosphere.</p>
      <p id="d1e1886">In addition, the magnetospheric and ionospheric response to substorm fast flow bursts is stronger compared to pseudobreakups. The pseudobreakups may
only cause localised particle injections that do not penetrate very deep into the inner magnetosphere. However, more magnetic flux and energy are
released during substorm fast flow bursts and, hence, substorm fast flow bursts are capable of penetrating deep into the inner magnetosphere and
produce a much stronger magnetospheric response. This association can help us study the properties and activity of the magnetospheric earthward flow
vortices from ground data. Satellite data are not always available to observe these events in the magnetosphere, whereas ground data can be readily
available. Therefore, if we understand how these ionospheric currents respond to substorm fast flow bursts and pseudobreakup events, then we can
determine magnetospheric conditions based on ground observations.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1893">The THEMIS data are publicly available at <uri>http://themis.ssl.berkeley.edu</uri> <xref ref-type="bibr" rid="bib1.bibx9" id="paren.50"/>. The SECS-EIC data are publicly available at <uri>http://www.igpp.ucla.edu/public/jweygand/SECS/</uri> <xref ref-type="bibr" rid="bib1.bibx10" id="paren.51"/>. The GOES 13 and 15 electron flux data and magnetic field data are publicly available from NOAA (<uri>https://www.ngdc.noaa.gov/stp/satellite/goes/</uri>, <xref ref-type="bibr" rid="bib1.bibx11" id="altparen.52"/>). We gratefully acknowledge the SuperMAG collaborators (<uri>https://supermag.jhuapl.edu/info/?page=acknowledgement</uri>). The SML, SMU and SME Indices <xref ref-type="bibr" rid="bib1.bibx58" id="paren.53"/> were used in this study. The SuperMAG data are publicly available from <uri>http://supermag.jhuapl.edu/</uri> <xref ref-type="bibr" rid="bib1.bibx12" id="paren.54"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1927">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/angeo-40-531-2022-supplement" xlink:title="zip">https://doi.org/10.5194/angeo-40-531-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1936">HA was the lead author, contributed in gathering data, analysed the results and wrote the manuscript. JL contributed to the identification of fast flows and general discussions. JB contributed to data analysis and general discussion. JMW provided data of the ionospheric currents calculated using the SEC technique, helped with generating some of the figures and contributed to data analysis and general discussions. XC primarily provided the supermag data and contributed to data analysis and general discussions. VA is the THEMIS PI who helped with the THEMIS data and contributed to general discussion.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1942">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1948">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1954">The authors would like to thank Anton Artemyev for useful discussions. Homayon Aryan, Jacob Bortnik, Jinxing Li, James Michael Weygand and Xiangning Chu would like to acknowledge the NASA HSR grant 80NSSC18K1227.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1959">This research has been supported by the National Aeronautics and Space Administration (grant no. 80NSSC18K1227).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1965">This paper was edited by Minna Palmroth and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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