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<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">1195805</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1195805</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Global insight into a complex-structured heliosphere based on the local multi-point analysis</article-title>
<alt-title alt-title-type="left-running-head">Pal et&#xa0;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.2023.1195805">10.3389/fspas.2023.1195805</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Pal</surname>
<given-names>Sanchita</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1721780/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Balmaceda</surname>
<given-names>Laura</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1785473/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Weiss</surname>
<given-names>Andreas J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2176576/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nieves-Chinchilla</surname>
<given-names>Teresa</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/961113/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Carcaboso</surname>
<given-names>Fernando</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2166534/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kilpua</surname>
<given-names>Emilia</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/639647/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>M&#xf6;stl</surname>
<given-names>Christian</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2278266/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Heliophysics Science Division</institution>, <institution>NASA Goddard Space Flight Center</institution>, <addr-line>Greenbelt</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Physics and Astronomy</institution>, <institution>George Mason University</institution>, <addr-line>Fairfax</addr-line>, <addr-line>VA</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>NASA Postdoctoral Program Fellow</institution>, <institution>NASA Goddard Space Flight Center</institution>, <addr-line>Greenbelt</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Physics</institution>, <institution>The Catholic University of America</institution>, <addr-line>Washington</addr-line>, <addr-line>DC</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Physics</institution>, <institution>University of Helsinki</institution>, <addr-line>Helsinki</addr-line>, <country>Finland</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Austrian Space Weather Office</institution>, <institution>GeoSphere Austria</institution>, <addr-line>Graz</addr-line>, <country>Austria</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/95890/overview">Vladislav Izmodenov</ext-link>, Space Research Institute (RAS), Russia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1421467/overview">Yuri Yermolaev</ext-link>, Space Research Institute (RAS), Russia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1349642/overview">Roman Kislov</ext-link>, Ariel University, Israel</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Sanchita Pal, <email>spal4@gmu.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>05</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1195805</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>03</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>04</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Pal, Balmaceda, Weiss, Nieves-Chinchilla, Carcaboso, Kilpua and M&#xf6;stl.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Pal, Balmaceda, Weiss, Nieves-Chinchilla, Carcaboso, Kilpua and M&#xf6;stl</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>
<abstract>
<p>From 29 January to 7 February 2022, the heliosphere was structured with large-scale interacting substructures that appeared with significant dissimilarities at distant observations separated longitudinally by <inline-formula id="inf1">
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</inline-formula>. Probing the complexity of the structured heliosphere with multi-point <italic>in situ</italic> and imaging observations by using a fleet of spacecraft has revealed many unknown facts on the dynamics of large-scale structures in the heliosphere. In this paper, we investigate a complex-structured heliosphere by analyzing the Sun, solar corona, and solar wind with remote and <italic>in situ</italic> observations aided by heliospheric modeling. We identified multiple flux ropes (FRs) associated with large expulsions of magnetized plasma-coronal mass ejections, from the same solar source in a three-day interval, an interplanetary wave shock, and a sheath in front of the FRs. <italic>In situ</italic> observations displayed a stream interaction region behind FRs formed due to the overtaking of different-speed solar winds. This high-speed stream originated from a coronal hole located southeast of the coronal mass ejection solar source. We find evidence of merging FRs, FR deflection due to the presence of the nearby coronal hole, and FR&#x2019;s unalike structural appearance at distant multi-point observations obtained at 1 au. This complex-structured heliosphere resulted in multiple G1-class geomagnetic storms when interacting with Earth&#x2019;s magnetosphere. Thus, the study focuses on the reconstruction of the structured heliosphere based on observations and modeling. It highlights the importance of multi-point observations in understanding the global configuration and disparity in the local nature of a structured heliosphere.</p>
</abstract>
<kwd-group>
<kwd>Sun</kwd>
<kwd>coronal mass ejection</kwd>
<kwd>heliosphere</kwd>
<kwd>high-speed stream</kwd>
<kwd>stream interaction region</kwd>
<kwd>multi-point observations</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>
<sec id="s1">
<title>1 Introduction</title>
<p>The heliosphere is a giant bubble of magnetized plasma around the Sun. It goes beyond the Solar System and is shaped by a constant outflow of charged particles called the solar wind. Coronal mass ejections (CMEs; <xref ref-type="bibr" rid="B102">Webb and Howard, 2012</xref>), a gigantic eruption from the Sun, may result in large-scale heliospheric structures such as interplanetary shock (<xref ref-type="bibr" rid="B99">Tsurutani&#xa0;et&#xa0;al., 2003</xref>), sheath (<xref ref-type="bibr" rid="B34">Kilpua&#xa0;et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B86">Salman&#xa0;et&#xa0;al., 2021</xref>), magnetic flux ropes (FRs), and complex ejecta. The FRs having smooth rotating high-intensity magnetic field lines with low temperature compared to the surrounding are called magnetic clouds (MCs; <xref ref-type="bibr" rid="B8">Burlaga, 1988</xref>). The interplanetary CMEs (ICMEs) may interact with other ICMEs and solar wind transients, including high-speed streams (HSSs) emanating from coronal holes (CHs; <xref ref-type="bibr" rid="B10">Cranmer, 2009</xref>) and slow&#x2013;fast stream interaction regions (SIRs; <xref ref-type="bibr" rid="B77">Richardson, 2018</xref>) created, while fast stream overtakes a slower stream and restructures the heliosphere in a way that may result in significant space weather disturbances (<xref ref-type="bibr" rid="B110">Zhang&#xa0;et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B88">Scolini&#xa0;et&#xa0;al., 2020</xref>). A study by <xref ref-type="bibr" rid="B70">Pal&#xa0;et&#xa0;al. (2022a)</xref> observed a structured heliosphere containing an MC and a heliospheric current sheet (HCS; <xref ref-type="bibr" rid="B92">Smith, 2001</xref>) that draped about the FR and resulted in &#x223c;18% erosion of the FR flux at &#x223c;0.5 au heliocentric distance. A study by <xref ref-type="bibr" rid="B20">Feng&#xa0;et&#xa0;al. (2019)</xref> indicated that a large-scale FR could occur in the heliosphere by merging multiple ICME FRs. CME interaction with solar wind structures can impact their properties in several ways such as rotating their axis (<xref ref-type="bibr" rid="B48">Manchester&#xa0;IV&#xa0;et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B56">Nieves-Chinchilla&#xa0;et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B59">2013</xref>; <xref ref-type="bibr" rid="B28">Isavnin&#xa0;et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B24">Heinemann&#xa0;et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B68">Pal&#xa0;et&#xa0;al., 2020</xref>), deforming their front convexity (<xref ref-type="bibr" rid="B6">Braga&#xa0;et&#xa0;al., 2022</xref>), and distorting and eroding their intrinsic magnetic properties (<xref ref-type="bibr" rid="B69">Pal&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B72">Pal, 2022</xref>). If a CME originates close to CHs, its expansion and propagation are prohibited in the direction of CH open fields and its propagation path is deflected by the magnetic gradient resulting from the difference in the magnetic field strength of the surrounding flux system (<xref ref-type="bibr" rid="B49">Manchester&#xa0;et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B24">Heinemann&#xa0;et&#xa0;al., 2019</xref>). These effects alter the initial ICME properties close to the Sun and can lead to significant errors in predictions of ICME arrival time and geoeffectiveness (<xref ref-type="bibr" rid="B71">Pal&#xa0;et&#xa0;al., 2022b</xref>).</p>
<p>A comprehensive understanding of the Sun&#x2013;Earth system leads to improvements in the prediction of phenomena that have significant societal relevance. This calls for improvement in tools such as data assimilation, statistical analysis, and synthesis of observations and models (<xref ref-type="bibr" rid="B11">Daglis&#xa0;et&#xa0;al., 2021</xref>). Several studies have analyzed interacting large-scale solar wind phenomena using multi-point observations supported by heliospheric modeling and their space weather impacts (<xref ref-type="bibr" rid="B19">Farrugia&#xa0;et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B105">Winslow&#xa0;et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B71">Pal&#xa0;et&#xa0;al., 2022b</xref>). However, the existence of a series of solar wind transients (similar or different kinds) and their interactions are not very usual. <xref ref-type="bibr" rid="B19">Farrugia&#xa0;et&#xa0;al. (2011)</xref> studied an ICME followed by the corotating interaction region (CIR&#x2014;SIRs that persist for several solar rotations) using three longitudinally separated spacecraft and found distortion and rotation of ICME FR caused by its interaction with the CIR. <xref ref-type="bibr" rid="B90">Shugay&#xa0;et&#xa0;al. (2018)</xref> compared the predicted and observed arrival time and speed of HSSs continued for three consecutive Carrington rotations (CRs), where, during one of the CRs, the HSS overtook a complex ejecta formed of merged ICMEs that resulted in significant decrement in the HSS speed. However, the models used in their prediction were unable to capture the impact of the HSS&#x2013;ejecta interaction. <xref ref-type="bibr" rid="B89">Scolini&#xa0;et&#xa0;al. (2021)</xref> investigated the CME&#x2013;HSS interaction using a heliospheric model in two radially aligned spacecraft and derived CME complexity driven by the HSS. <xref ref-type="bibr" rid="B105">Winslow&#xa0;et&#xa0;al. (2021)</xref> studied the CME&#x2013;SIR interaction using observations from two spacecraft having longitudinal conjunction and determined drastic changes in the ICME magnetic structure and properties of sheath due to the interaction. <xref ref-type="bibr" rid="B73">Palmerio et al. (2022)</xref> studied two successive ICMEs followed by HSS on their way to Earth and Mars and found out the reason for the second ICME missing Mars being the ICME&#x2019;s rotation and deflection due to its interaction with the HSS. Moreover, all these studies focused on understanding the complexity resulting from interacting transients and serve as an indicator for further investigations on the interacting solar events in the heliosphere.</p>
<p>The present study uncovers the features of a complex-structured heliosphere formed of a series of solar wind transients and their interactions using a longitudinally separated multi-point remote and <italic>in situ</italic> observations aided by heliospheric modeling. The structured heliosphere caused a disturbance in space weather, influencing the loss of multiple satellites on 3 February 2022 (<xref ref-type="bibr" rid="B12">Dang&#xa0;et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B18">Fang&#xa0;et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B23">Hapgood&#xa0;et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B98">Tsurutani&#xa0;et&#xa0;al., 2022</xref>). By probing the origin, early and inner-heliospheric evolution of the components of the structured heliosphere, we infer its complexity and explain its unalike appearances in distant <italic>in situ</italic> observations. Moreover, this study provides evidence of solar transient evolution regulating its global structure and local impacts. In <xref ref-type="sec" rid="s2">Section&#xa0;2</xref>, we provide a brief overview of the satellite instruments, the dataset utilized in this study, and a summary of the observed structured heliosphere. In <xref ref-type="sec" rid="s3">Section&#xa0;3</xref>, we analyze the data and their outcome. Finally, in <xref ref-type="sec" rid="s4">Section&#xa0;4</xref>, we discuss our results and present our conclusions.</p>
</sec>
<sec id="s2">
<title>2 Instruments, dataset, and event overview</title>
<p>This study employs multi-viewpoint extreme ultraviolet (EUV) and white-light solar imagery, heliospheric images, and multi-point <italic>in situ</italic> observations aided by the Wang-Sheeley-Arge (WSA)-ENLIL&#x2b;Cone model publicly available for simulation runs by the Community Coordinated Modeling Center (<ext-link ext-link-type="uri" xlink:href="http://ccmc.gsfc.nasa.gov">http://ccmc.gsfc.nasa.gov</ext-link>). The model consists of a semi-empirical WSA (<xref ref-type="bibr" rid="B5">Arge and Pizzo, 2000</xref>; <xref ref-type="bibr" rid="B4">Arge&#xa0;et&#xa0;al., 2004</xref>) coronal model that approximates the solar wind outflow at an inner boundary 21.5 Rs and a magnetohydrodynamical (MHD) ENLIL solar wind model (<xref ref-type="bibr" rid="B64">Odstr&#x10d;il&#xa0;et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B61">Odstr&#x10d;il and Pizzo, 1999a</xref>; <xref ref-type="bibr" rid="B62">Odstr&#x10d;il and Pizzo, 1999b</xref>; <xref ref-type="bibr" rid="B60">Odstrcil, 2003</xref>; <xref ref-type="bibr" rid="B63">Odstrcil&#xa0;et&#xa0;al., 2004</xref>) that provides a time-dependent description of the background solar wind plasma and magnetic field. CME-related transients are then inserted at the inner boundary as high-pressure (without magnetic field) pulses. The CME geometry is approximated with a cone model described by <xref ref-type="bibr" rid="B111">Zhao&#xa0;et&#xa0;al. (2002)</xref> and <xref ref-type="bibr" rid="B108">Xie&#xa0;et&#xa0;al. (2004)</xref>.</p>
<p>To obtain multi-point remote-sensing data, we use Extreme UltraViolet Imager (EUVI), Cor2 coronagraph and Heliospheric Imager-1 (HI-1; <xref ref-type="bibr" rid="B17">Eyles&#xa0;et&#xa0;al., 2009</xref>), onboard the Sun-Earth Connection Coronal and Heliospheric Investigation (SECCHI; <xref ref-type="bibr" rid="B26">Howard&#xa0;et&#xa0;al., 2008</xref>), suite of the Solar Terrestrial Relations Observatory Ahead (STEREO-A; <xref ref-type="bibr" rid="B30">Kaiser&#xa0;et&#xa0;al., 2008</xref>) spacecraft, C2&#x26;C3 coronagraphs of the Large Angle and Spectrometric COronagraph (LASCO; <xref ref-type="bibr" rid="B7">Brueckner&#xa0;et&#xa0;al., 1995</xref>) onboard the Solar and Heliospheric Observatory (SOHO; <xref ref-type="bibr" rid="B16">Domingo&#xa0;et&#xa0;al., 1995</xref>), the Atmospheric Imaging Assembly (AIA; <xref ref-type="bibr" rid="B36">Lemen&#xa0;et&#xa0;al., 2012</xref>) and Helioseismic and Magnetic Imager (HMI; <xref ref-type="bibr" rid="B87">Scherrer&#xa0;et&#xa0;al., 2012</xref>) instruments onboard the Solar Dynamics Observatory (SDO; <xref ref-type="bibr" rid="B75">Pesnell&#xa0;et&#xa0;al., 2012</xref>), and H-<italic>&#x3b1;</italic> imagery from the National Solar Observatory (NSO)/Global Oscillation Network Group (GONG) instrument.</p>
<p>We use <italic>in situ</italic> observations of solar wind plasma, interplanetary magnetic field (IMF), Suprathermal Electron Telescope (STE), Magnetometer (MAG), Solar Electron and Proton Telescope (SEPT) on board IMPACT (<xref ref-type="bibr" rid="B43">Luhmann&#xa0;et&#xa0;al., 2008</xref>) suite of STEREO-A, Magnetometer (<xref ref-type="bibr" rid="B25">Horbury&#xa0;et&#xa0;al., 2020</xref>), Energetic Particle Detector (EPD; <xref ref-type="bibr" rid="B81">Rodr&#xed;guez-Pacheco et al., 2020</xref>) and Solar Wind Analyzer (SWA; <xref ref-type="bibr" rid="B67">Owen&#xa0;et&#xa0;al., 2020</xref>) suites onboard Solar Orbiter (SolO; <xref ref-type="bibr" rid="B53">M&#xfc;ller&#xa0;et&#xa0;al., 2020</xref>), Magnetic Field Investigation (MFI; <xref ref-type="bibr" rid="B37">Lepping&#xa0;et&#xa0;al., 1995</xref>), Solar Wind Experiment (SWE; <xref ref-type="bibr" rid="B65">Ogilvie&#xa0;et&#xa0;al., 1995</xref>), 3D Plasma Analyzer (3D-P; <xref ref-type="bibr" rid="B41">Lin&#xa0;et&#xa0;al., 1995</xref>) instruments onboard Wind (<xref ref-type="bibr" rid="B37">Lepping&#xa0;et&#xa0;al., 1995</xref>), EPAM (Electron, Proton, and Alpha Monitor), and SWICS (Solar Wind Temperatures, Speeds, Composition, and Charge States) onboard Advanced Composition Explorer (ACE; <xref ref-type="bibr" rid="B91">Smith&#xa0;et&#xa0;al., 1998</xref>).</p>
<p>The level-2, 1-min&#xa0;resolution <italic>in situ</italic> data are collected from the public Automated Multi-Dataset Analysis (AMDA; <xref ref-type="bibr" rid="B21">G&#xe9;not&#xa0;et&#xa0;al., 2021</xref>), Coordinated Data Analysis Web (CDAWeb), and the ACE Science Center (ASC) databases. During the 7-day period centered on the structured heliosphere, STEREO-A and SolO were 0.6 <inline-formula id="inf2">
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</inline-formula> eastward from the Lagrangian point-L1 at 0.96 and 0.85&#xa0;au heliocentric distances, respectively, with a spread in heliographic latitudes (&#x2212;2.7&#xb0;, &#x2212;2.1&#xb0;, &#x2212;6&#xb0; for STEREO-A, SolO, and Wind, respectively). In <xref ref-type="fig" rid="F1">Figure&#xa0;1A,&#xa0;C</xref> and <xref ref-type="fig" rid="F2">Figure&#xa0;2A</xref>, the <italic>in situ</italic> observations using multiple spacecraft are shown, whereas in <xref ref-type="fig" rid="F1">Figure&#xa0;1B</xref> and <xref ref-type="fig" rid="F2">Figure&#xa0;2B</xref>, the location of the spacecraft and the CME directions in Heliocentric Earth Equatorial (HEEQ) are indicated.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Solar wind magnetized plasma measurements (in the RTN coordinate system) obtained from STEREO-A are divided into two panels. The left panel contains magnetic field intensity (<italic>B</italic>) and vector components (<italic>B</italic>
<sub>
<italic>RTN</italic>
</sub>), magnetic vector angles (<italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub> and <italic>&#x3b8;</italic>
<sub>
<italic>B</italic>
</sub>), plasma velocity (<italic>V</italic>
<sub>
<italic>sw</italic>
</sub>), density (<italic>N</italic>
<sub>
<italic>p</italic>
</sub>), temperature (<italic>T</italic>
<sub>
<italic>p</italic>
</sub>), and proton-<italic>&#x3b2;</italic> (from top to bottom). The right panel shows total pressure (<italic>P</italic>
<sub>
<italic>t</italic>
</sub>), PAD of the suprathermal electron at 246&#x2013;255&#xa0;eV energy range, energetic ion (<italic>ion</italic>
<sub>
<italic>E</italic>
</sub>) (100&#x2013;500&#xa0;eV) intensities from the Sunward telescope (please note that STEREO-A is upside down at the moment of this event), and <italic>&#x3f5;</italic>. The <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub> between the horizontal lines corresponds to the sunward IMF. The vertical lines separate the annotated regions. The annotated regions are described at the right. <bold>(B)</bold> Locations where <italic>in situ</italic> measurements were obtained are shown in the ecliptic plane using colored dots where the center indicates the location of the Sun. Three arrows show the direction of CME propagation longitudes obtained from remote observation. The location of STEREO-A and the Solar Orbiter is encircled. <bold>(C)</bold> <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> measurements from the Solar Orbiter with annotated regions. The measurements of solar wind magnetic field and plasma were not available from the solar wind.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Solar wind measurements divided into two panels. The observations are obtained using Wind and ACE at L1 (in the GSE coordinate system). The left panel contains the intensity and vector components of <italic>B</italic>, <italic>&#x3b8;</italic>
<sub>
<italic>B</italic>
</sub>, <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub>, <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, and <italic>T</italic>
<sub>
<italic>p</italic>
</sub>. The right panel shows <italic>&#x3b2;</italic>, <italic>PAD</italic>, <italic>P</italic>
<sub>
<italic>t</italic>
</sub>, <italic>ion</italic>
<sub>
<italic>E</italic>
</sub>, mean iron charge state <inline-formula id="inf4">
<mml:math id="m4">
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
</mml:math>
</inline-formula>, and <italic>&#x3f5;</italic>. The <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub> between horizontal lines corresponds to anti-sunward IMF. The grey-shaded region shows an abundance of a mini FR, whereas the purple-shaded region indicates the interaction region between two FRs. In <bold>(B)</bold>, the location of L1 is encircled.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g002.tif"/>
</fig>
<sec id="s2-1">
<title>2.1 Overview of the structured heliosphere</title>
<sec id="s2-1-1">
<title>2.1.1 <italic>In situ</italic> observations</title>
<p>We analyzed the <italic>in situ</italic> measurements of solar wind magnetic properties such as magnetic vector (<bold>B</bold>), total intensity (<italic>B</italic>), field line latitude (<italic>&#x3b8;</italic>
<sub>
<italic>B</italic>
</sub>) and longitude (<italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub>) angles, plasma properties, including plasma velocity (<italic>V</italic>
<sub>
<italic>sw</italic>
</sub>), density (<italic>N</italic>
<sub>
<italic>p</italic>
</sub>), temperature (<italic>T</italic>
<sub>
<italic>p</italic>
</sub>), suprathermal electron pitch angle distribution (PAD) at 246&#x2013;255&#xa0;eV energy range, and energetic ion (&#x223c; 100&#x2013;550&#xa0;KeV) intensities (<italic>ion</italic>
<sub>
<italic>E</italic>
</sub>), and mean iron charge state (&#x27e8;<italic>Q</italic>
<sub>
<italic>Fe</italic>
</sub>&#x27e9;) during the passage of the structured heliosphere. At STEREO-A and L1, we derive the proton-<italic>&#x3b2;</italic> (the ratio of solar wind proton pressure to the magnetic pressure), total perpendicular pressure (<italic>P</italic>
<sub>
<italic>t</italic>
</sub>; proton thermal pressure &#x2b; magnetic pressure perpendicular to the magnetic field (<xref ref-type="bibr" rid="B85">Russell&#xa0;et&#xa0;al., 1990</xref>)) of solar wind from <italic>in situ</italic> measurement, and the <italic>&#x3f5;</italic> parameter that is sometimes used to describe the upstream solar wind Poynting flux transfer to the magnetosphere during the geomagnetic storm and sub-storm processes (<xref ref-type="bibr" rid="B1">Akasofu, 1981</xref>; <xref ref-type="bibr" rid="B35">Koskinen and Tanskanen, 2002</xref>). The <italic>&#x3f5;</italic> (<xref ref-type="bibr" rid="B1">Akasofu, 1981</xref>) parameter is a coupling function that is used to describe the relationship between solar wind condition and magnetospheric disturbances and depends on <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, <italic>B</italic>, and clock angle <italic>q</italic> of the solar wind magnetic field oriented perpendicular to the Sun&#x2013;Earth line, i.e., tan&#x2009; <italic>&#x3b8;</italic>
<sub>
<italic>c</italic>
</sub> &#x3d; <italic>B</italic>
<sub>
<italic>y</italic>
</sub>/<italic>B</italic>
<sub>
<italic>z</italic>
</sub> (<xref ref-type="bibr" rid="B74">Perreault and Akasofu, 1978</xref>; <xref ref-type="bibr" rid="B2">Akasofu, 1979</xref>), and a scale factor <italic>l</italic>
<sub>0</sub> &#x3d; 7<italic>R</italic>
<sub>
<italic>E</italic>
</sub> (<italic>R</italic>
<sub>
<italic>E</italic>
</sub>&#x2013;Earth radii) that is understood as a constant effective area of the solar wind&#x2013;magnetosphere interaction <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>/</mml:mo>
<mml:mn>4</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:mspace width="0.3333em" class="nbsp"/>
<mml:msup>
<mml:mrow>
<mml:mi>sin</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. However, <italic>&#x3f5;</italic> is a first-order approximation and is not adequate to provide the description of total energy transfer (<xref ref-type="bibr" rid="B35">Koskinen and Tanskanen, 2002</xref>). The higher value of <italic>&#x3f5;</italic> at L1 during the crossing of the complex-structured heliosphere complies with the fact that the structure was geoeffective. At STEREO-A, we derive the <italic>&#x3f5;</italic> parameter to estimate the geomagnetic consequences that might occur if the structure at STEREO-A would have impacted Earth. <xref ref-type="fig" rid="F1">Figure&#xa0;1A,&#xa0;C</xref> and <xref ref-type="fig" rid="F2">Figure&#xa0;2A</xref> show the <italic>in situ</italic> measurements and derived parameters obtained from STEREO-A, SolO, and Wind &#x26; ACE, respectively. The STEREO-A, SolO, and Earth locations are represented by red, blue, and green color dots, respectively, on the ecliptic plane (panel B of <xref ref-type="fig" rid="F1">Figures&#xa0;1</xref> and <xref ref-type="fig" rid="F2">Figure&#xa0;2</xref>), where the Sun locates at the center. The measurements in STEREO-A and SolO are collected in the radial, tangential, normal (RTN) coordinate, whereas at the Lagrangian point-L1, it is obtained in the geocentric solar ecliptic (GSE) coordinate. Unfortunately, due to spacecraft interference, except <italic>ion</italic>
<sub>
<italic>E</italic>
</sub>, the continuous level-2 data from SolO for solar wind plasma and magnetic properties were not available.</p>
<p>The arrival of the compound heliospheric structure was identified by a sudden enhancement (region <italic>r</italic>
<sub>1</sub>) in <italic>B</italic>, <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, <italic>T</italic>
<sub>
<italic>p</italic>
</sub>, <italic>P</italic>
<sub>
<italic>t</italic>
</sub>, and <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> on 1 February 2022, at 22:20 and 22:00 UT at L1 and STEREO-A, respectively. The <italic>r</italic>
<sub>1</sub> was followed by an interval <italic>r</italic>
<sub>2</sub> having increased magnetic field fluctuations and enhanced <italic>ion</italic>
<sub>
<italic>E</italic>
</sub>. The <italic>r</italic>
<sub>1</sub> and <italic>r</italic>
<sub>2</sub> regions were identified at SolO using the enhanced <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> patches. The horizontal lines in <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub> panels indicate the sector boundaries (SBs). The field lines crossing one of the nominal boundaries indicate a change of their directions toward the sector or <italic>vice versa</italic> (in RTN). The same is identified by the change of the propagation direction of the suprathermal electrons from the field aligned to anti-field-aligned or <italic>vice versa</italic>. At STEREO-A, inside the region <italic>r</italic>
<sub>2</sub>, during 2:00&#x2013;8:00 UT on 2 Feb 2022, <italic>B</italic> and <italic>P</italic>
<sub>
<italic>t</italic>
</sub> significantly enhanced with <italic>B</italic> having multiple intensity dips and the <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub> crossed the SBs multiple times, whereas at L1, the field lines remain in between the SBs for the interval.</p>
<p>
<italic>r</italic>
<sub>2</sub> was followed by a region <italic>r</italic>
<sub>3</sub> having smooth coherent rotation in <bold>B</bold> and high intensity <italic>B</italic>, <italic>N</italic>
<sub>
<italic>p</italic>
</sub> less than the ambient medium and proton-<italic>&#x3b2;</italic> &#x3c; 1, indicating the presence of a FR. During <italic>r</italic>3, the presence of bidirectional suprathermal electrons and a decrease in <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> were observed at both L1 and STEREO-A. Also, at SolO, low-energy <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> started decreasing at &#x223c;01:00UT on 2 February 2022, which may suggest the beginning of region <italic>r</italic>
<sub>3</sub>. During <italic>r</italic>
<sub>3</sub>, the &#x27e8;<italic>Q</italic>
<sub>
<italic>Fe</italic>
</sub>&#x27e9; peaked at L1. At L1, <italic>r</italic>3 was followed by high <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, and proton-<italic>&#x3b2;</italic>, where suprathermal electron PAD was isotropic. A region <italic>r</italic>
<sub>4</sub> showing FR-like properties with comparatively high intensity <italic>B</italic>, large coherent magnetic field rotation, low <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, <italic>T</italic>
<sub>
<italic>p</italic>
</sub>, and proton-<italic>&#x3b2;</italic> was observed only at L1. However, these were not observed at STEREO-A. A region indicated by <italic>r</italic>
<sub>5</sub> was observed at both L1 and STEREO-A, where <italic>V</italic>
<sub>
<italic>sw</italic>
</sub> was increasing, <italic>P</italic>
<sub>
<italic>t</italic>
</sub> reached a local maximum, and <italic>T</italic>
<sub>
<italic>p</italic>
</sub> showed enhancement. After <italic>r</italic>
<sub>5</sub>, <italic>V</italic>
<sub>
<italic>sw</italic>
</sub> significantly increased (region <italic>r</italic>
<sub>6</sub>). From the PAD data at both L1 and STEREO-A, it was evident that IMFs directed toward the Sun during <italic>r</italic>
<sub>5</sub> and <italic>r</italic>
<sub>6</sub>.</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 Remote-sensing observations</title>
<p>Taking into account the arrival time and speed of different segments in the structured heliosphere at the Sun, we identified three consecutive CMEs&#x2014;CME1, CME2, and CME3&#x2014;and a nearby CH as responsible origins of the transients in the structured heliosphere. Only CME1 was associated with an eruptive M-class flare that occurred at 22:30 UT on 29 January 2022, from a bipolar active region (AR) identified as NOAA 12936 and located at N17E11 in the heliographic coordinate.</p>
<p>
<xref ref-type="fig" rid="F3">Figures&#xa0;3</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref> show the white-light images of CME1, CME2, and CME3 using coronagraphs and their sources identified on the solar disk using running-difference EUV images. CME1 appeared as a halo event at <italic>t</italic>
<sub>
<italic>cme1</italic>
</sub> &#x223c; 00:40 UT on 30 January 2022, with a distorted shape identified by their leading edges visible at STEREO-A/COR2 and LASCO/C2 field-of-view (FOV) (<xref ref-type="fig" rid="F3">Figures 3A, B</xref>). <xref ref-type="fig" rid="F3">Figures 3C, D</xref> CME1 in COR2 and LASCO/C3 coronagraphs around 3&#xa0;h after its first appearence, where the leading edges of the two different parts of CME1 were not clearly observed. Using coronal EUV images, we could locate only one post-eruption arcade and a &#x201c;J&#x201d;-shaped ribbon at the CME1 eruption location. Therefore, we may assume that CME1 was not accompanied by any other CME and that the two leading edges observed at coronagraphs (STEREO-A/COR2 and LASCO/C2) were associated with CME1. However, CMEs may generate, having no direct association, with AR, and they may lack classic low-coronal signatures <xref ref-type="bibr" rid="B79">Robbrecht&#xa0;et&#xa0;al. (2009)</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>White-light observations of CME1 in STEREO-A/COR2 <bold>(A)</bold> and LASCO/C2 <bold>(B)</bold> at its first appearance when two separate structures associated with CME1 can be identified well. In the lower panel, the observation of CME1 is shown using STEREO-A/COR2 <bold>(C)</bold> and LASCO/C3 <bold>(D)</bold>, 3&#xa0;h after its first appearance. In the upper panel, the CME&#x2019;s two distinct parts (<italic>CME</italic>1<sub>1</sub> and <italic>CME</italic>1<sub>2</sub>) are indicated with white arrows. At the upper panel, the running-difference EUV image of the solar disk during CME2 eruption is shown, where the CME1-associated coronal signature is pointed using a yellow box.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>White-light observations of CME2 observed in STA/COR2 <bold>(A)</bold> and LASCO/C2 <bold>(B)</bold> and fitted with GCS approximation <bold>(C, D)</bold>. In the inset of <bold>(A)</bold>, the running-difference EUV image during CME2 eruption is shown. The associated coronal signature is indicated using a yellow box.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>White-light observations of CME3 observation by STA/COR2 <bold>(A)</bold> and LASCO/C2 <bold>(B)</bold> and its approximation with GCS shown in <bold>(C, D)</bold>. In the inset of <bold>(A)</bold>, the running-difference EUV image during CME3 eruption is shown. The yellow box indicates the CME3-associated coronal brightening.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g005.tif"/>
</fig>
<p>The origin of CME2 and CME3 was associated with AR 12936, while it rotated toward the west and reached locations N17W21 and N17W34, respectively (the insets of <xref ref-type="fig" rid="F4">Figures&#xa0;4</xref>, <xref ref-type="fig" rid="F5">5</xref>). The CMEs appeared with their full-grown structures in LASCO/C2 FOV at <italic>t</italic>
<sub>
<italic>cme2</italic>
</sub> &#x223c; 17:50 UT on 31 January 2022 and <italic>t</italic>
<sub>
<italic>cme3</italic>
</sub> &#x223c; 08:20 UT on 1 February 2022, respectively. The low-coronal signatures are shown using a yellow box overplotted on the EUV difference images. For CME1 and CME2, we identified coronal dimming regions on the solar disk, and for CME3, a coronal brightening was observed at the north&#x2013;west solar limb. The distorted leading edge (LE) of CME1 is well observed at STEREO-A/HI-1. In <xref ref-type="fig" rid="F6">Figures&#xa0;6A,&#xa0;B</xref>, we show the STEREO-A/HI-1 (FOV diameter 20 deg) running-difference images where the LEs of CME1, CME2, and CME3 are identified distinctly at position angles 271 deg&#xa0;(CME1 LE) and 277 deg&#xa0;(CME2 and CME3 LEs) and are indicated with white arrows. <xref ref-type="fig" rid="F6">Figure&#xa0;6C</xref> shows a time&#x2013;distance plot of the ICME LEs. The LEs are tracked at a position angle (PA) corresponding to the propagation longitude of the CME trajectories. The errors in measuring the PAs provide the uncertainty in deriving the propagation distance of ICME LEs with time (<xref ref-type="fig" rid="F6">Figure&#xa0;6C</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Front edges of CME1 <bold>(A)</bold> and CME2 and CME3 <bold>(B)</bold> as observed by STA/HI-1. <bold>(C)</bold> Time&#x2013;distance plot of CME1, CME2, and CME3. The front edges of CME2 and CME3 began to interact at <inline-formula id="inf6">
<mml:math id="m6">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>7</mml:mn>
<mml:mo>:</mml:mo>
<mml:mn>00</mml:mn>
</mml:math>
</inline-formula> UT on 2 February 2022.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g006.tif"/>
</fig>
<p>The flare origin AR 12936 was closely followed by another bipolar AR 12938 and a CH that was located to the southeast of AR 12938. The CME1 eruption was accompanied by a &#x201c;J&#x201d;-shaped flare-ribbon (<xref ref-type="bibr" rid="B14">D&#xe9;moulin&#xa0;et&#xa0;al., 1996</xref>) and a forward EUV-sigmoid (<xref ref-type="bibr" rid="B97">Titov and D&#xe9;moulin, 1999</xref>) observed at SDO/AIA 1600 A<sup>0</sup> and 131 A<sup>0</sup>, respectively, which indicate that the ICME FR had right-handed (RH) twisted field lines. In <xref ref-type="fig" rid="F7">Figures&#xa0;7A,&#xa0;B</xref>, the EUV images of the solar disk obtained from STEREO-A/EUVI 195&#xc5; and SDO/AIA 193&#xc5; are shown with the CH overplotted on them using white contours. The CH faced STEREO-A (within &#xb1;20&#xb0; of the central meridian) around the time of CME1 eruption, whereas it faced the SDO around the eruption of CME3. The indicated bright regions shown with arrows are associated with the two ARs. The CH boundary was obtained following the method described by <xref ref-type="bibr" rid="B83">Rotter&#xa0;et&#xa0;al. (2012)</xref> and <xref ref-type="bibr" rid="B82">Rotter&#xa0;et&#xa0;al. (2015)</xref>. They found a strong relationship between the CH close to the CME and solar wind high-speed stream peak amplitudes. We notice that the CH in our study took &#x223c;2&#xa0;days to rotate <inline-formula id="inf7">
<mml:math id="m7">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>34</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:math>
</inline-formula> to appear near the disk center of the Earth-facing solar disk. Similarly, the HSS originating from the CH arrived at L1 &#x223c;2&#xa0;days after its arrival at <inline-formula id="inf8">
<mml:math id="m8">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>34</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:math>
</inline-formula> east to L1, i.e., the location of STEREO-A.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> STA/EUVI 195&#xc5; and <bold>(B)</bold> SDO/AIA 193&#xc5; observations of the solar disk when the coronal hole overplotted using white contours appeared within &#xb1;20&#xb0; of CM. The grids are drawn with &#xb1;20&#xb0; separation in the Stonyhurst coordinate system.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g007.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Analysis and results</title>
<sec id="s3-1">
<title>3.1 <italic>In situ</italic> analysis</title>
<p>
<xref ref-type="sec" rid="s2-1-1">Section&#xa0;2.1.1</xref> describes multi-point <italic>in situ</italic> observations of different substructures (regions) in the structured heliosphere. Here, we described <italic>r</italic>
<sub>1</sub>&#x2013;<italic>r</italic>
<sub>5</sub> regions exhibiting different behaviors. In this section, we explain each region based on our analysis.</p>
<p>Region <italic>r</italic>
<sub>1</sub> observed at all locations indicates the arrival of a shock driven by CME1 FR. The shock can accelerate charged particles (<xref ref-type="bibr" rid="B22">Giacalone, 2012</xref>) and cause ion enhancements. In our study, we considered a particular ion energy range (<inline-formula id="inf9">
<mml:math id="m9">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>500</mml:mn>
</mml:math>
</inline-formula> eV), at which the measurements of the ion&#x2019;s number density are available for all three locations. Region <italic>r</italic>
<sub>2</sub> corresponds to a sheath that contains a wealth of substructures that are swept into and compressed by CME1 while propagating outward from the Sun. The sheath observed by STEREO-A contains multiple HCS crossings associated with the patches of <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> enhancements, isotropic PAD of suprathermal electrons, and high-density piled-up compression region (<italic>r</italic>
<sub>2</sub> in <xref ref-type="fig" rid="F1">Figure&#xa0;1A</xref>). However, the sheath at L1 did not contain HCS crossing, whereas at its front, the abundance of a small-scale FR (mini-FR; indicated by the grey-shaded region in <xref ref-type="fig" rid="F2">Figure&#xa0;2A</xref>) can be speculated by the signature of almost smoothly rotating magnetic field components and a high intensity <italic>B</italic> coinciding its front part with the strongest <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> enhancement. A mini-FR showing similar criteria was observed in a recent study by <xref ref-type="bibr" rid="B33">Kilpua&#xa0;et&#xa0;al. (2021)</xref>. However, the mini-FR was not identified by STEREO-A. The two patches of <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> enhancements observed by SolO (the region indicated by <italic>r</italic>
<sub>2</sub> in <xref ref-type="fig" rid="F1">Figure&#xa0;1C</xref>) might correspond to the presence of the mini-FR and multiple HCS crossings, respectively. Although, due to the unavailability of solar wind magnetic field and plasma data, we could not confirm it.</p>
<p>Region <italic>r</italic>
<sub>3</sub> contains the FR of CME1 that appeared with mostly negative and positive <italic>B</italic>
<sub>
<italic>z</italic>
</sub> at L1 and STEREO-A, respectively. Inside <italic>r</italic>
<sub>3</sub>, the signature of BDE was observed in both L1 and STEREO-A. Also, CME1 propagated as an individual structure with a separation angle between the ICME legs larger than the angular distance between the location of STEREO-A and L1. Therefore, we assume that the same FR was present in region <italic>r</italic>
<sub>3</sub>. Following <xref ref-type="bibr" rid="B8">Burlaga&#x2019;s (1988)</xref> definition of a magnetic cloud, we confidently identified the FR&#x2019;s front and rear boundaries in the solar wind data and obtained its axis orientation in both locations by fitting its vector magnetic profile with four different techniques&#x2014;minimum variance analysis (MVA; <xref ref-type="bibr" rid="B93">Sonnerup and Scheible, 1998</xref>), a constant <italic>&#x3b1;</italic> linear force-free (LFF; <xref ref-type="bibr" rid="B39">Lepping&#xa0;et&#xa0;al., 1990</xref>; <xref ref-type="bibr" rid="B51">Marubashi and Lepping, 2007</xref>) cylindrical model, a circular and elliptical cylindrical model based on the radial dependence of the current density (CC and EC <xref ref-type="bibr" rid="B58">Nieves-Chinchilla&#xa0;et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B57">2018</xref>), and the Three-Dimensional COronal Rope Ejection (3DCORE; <xref ref-type="bibr" rid="B103">Weiss&#xa0;et&#xa0;al., 2021a</xref>; <xref ref-type="bibr" rid="B104">Weiss&#xa0;et&#xa0;al., 2021b</xref>) model based on the assumption of a uniformly twisted torus-shaped flux rope with a global circular shape attached to the Sun. The LFF, CC, EC, and 3DCORE fitting to CME1 FR are shown in <xref ref-type="fig" rid="F8">Figures&#xa0;8A&#x2013;D</xref>, where the left and right panels contain the fittings on observed magnetic field vectors obtained by Wind and STEREO-A, respectively. The inclination angle (<italic>&#x3b8;</italic>
<sub>
<italic>GSE</italic>
</sub>- angle measured positive toward north from the ecliptic plane) and the azimuth angle (<italic>&#x3d5;</italic>
<sub>
<italic>GSE</italic>
</sub>- angle measured counterclockwise positive from the Earth&#x2013;Sun direction) of the CME1 axis, impact parameter (<italic>Y</italic>
<sub>0</sub> &#x2212; perpendicular distance between the FR axis and the spacecraft propagation path normalized to the FR radius), and handedness (<italic>H</italic>), estimated at L1 and STEREO-A by FR-fitting, are mentioned in <xref ref-type="table" rid="T1">Table&#xa0;1</xref>. In MVA, <italic>Y</italic>
<sub>0</sub> is approximated as <italic>Y</italic>
<sub>0</sub> &#x3d; &#x27e8;<italic>B</italic>
<sub>
<italic>x</italic>,FR</sub>&#x27e9;/&#x27e8;<italic>B</italic>&#x27e9; (<xref ref-type="bibr" rid="B13">D&#xe9;moulin and Dasso, 2009</xref>; <xref ref-type="bibr" rid="B84">Ruffenach&#xa0;et&#xa0;al., 2015</xref>). Here, <italic>B</italic>
<sub>
<italic>x</italic>,FR</sub> is in the FR frame obtained using MVA. We confirm the certainty in the MVA method by calculating the intermediate-to-minimum eigenvalue ratio. The ratio is more than 2 (<xref ref-type="bibr" rid="B93">Sonnerup and Scheible, 1998</xref>), which indicates that the CME1 FR axis orientation is unambiguously determined using MVA. The error in the fitting of the LFF model is measured using <inline-formula id="inf10">
<mml:math id="m10">
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>rms</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mo movablelimits="false" form="prefix">&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>LFF</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>/</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">&#x7c;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B51">Marubashi and Lepping, 2007</xref>). For CC and EC, the model fit errors are estimated using <inline-formula id="inf11">
<mml:math id="m11">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c7;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mo movablelimits="false" form="prefix">&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close=")">
<mml:mrow>
<mml:mfenced open="(" close="]">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>CC/EC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>/</mml:mo>
<mml:mi>N</mml:mi>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B58">Nieves-Chinchilla&#xa0;et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B57">2018</xref>). Here, <italic>N</italic> is the number of points inside the FR included in the analysis. The estimated error values in fitting CME1-FR at two separate locations using different models indicate a good fit (for Wind observations, the <italic>E</italic>
<sub>
<italic>rms</italic>
</sub>, <inline-formula id="inf12">
<mml:math id="m12">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c7;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, and <inline-formula id="inf13">
<mml:math id="m13">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c7;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> are 0.27, 0.39, and 0.4, and for STA, the values are 0.23, 0.2, and 0.19, respectively). At L1, the FR appeared as an intermediate FR (<xref ref-type="bibr" rid="B73">Palmerio&#xa0;et&#xa0;al., 2022</xref>) with an inclination angle of 36&#xb0; &#xb1; 4&#xb0;, and the low value of <italic>Y</italic>
<sub>0</sub> indicates that the FR crossed with its core. The presence of the FR core was evident from the increased abundance of the high-charge state [&#x27e8;<italic>Q</italic>
<sub>
<italic>Fe</italic>
</sub>&#x27e9; &#x3e; 12 <xref ref-type="bibr" rid="B40">Lepri&#xa0;et&#xa0;al. (2001)</xref>]. However, at STEREO-A, it appeared as a highly inclined FR with an inclination angle of 58&#xb0; &#xb1; 8&#xb0; to the ecliptic plane.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Left and right panels show the observation of solar wind magnetic field vectors in GSE and RTN coordinates at L1 and STEREO-A using Wind and STEREO-A spacecraft, respectively. The green, red, and blue colors represent <italic>B</italic>
<sub>
<italic>x</italic>
</sub> (<italic>B</italic>
<sub>
<italic>R</italic>
</sub>), <italic>B</italic>
<sub>
<italic>y</italic>
</sub> (<italic>B</italic>
<sub>
<italic>T</italic>
</sub>), and <italic>B</italic>
<sub>
<italic>z</italic>
</sub> (<italic>B</italic>
<sub>
<italic>N</italic>
</sub>), respectively. The fitting with LFF <bold>(A)</bold>, CC <bold>(B)</bold>, EC <bold>(C)</bold>, and 3DCORE <bold>(D)</bold> models is overplotted on the CME1 FR bounded by two vertical lines.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g008.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of results obtained from <italic>in situ</italic> reconstruction of CME1 FR observed by Wind and STEREO-A spacecraft.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="9" align="center">
<italic>In situ</italic> reconstruction results</th>
</tr>
<tr>
<th align="left"/>
<th colspan="4" align="center">L1</th>
<th colspan="4" align="center">STEREO-A</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Models</td>
<td align="center">
<italic>&#x3b8;</italic>
<sub>
<italic>GSE</italic>
</sub>
</td>
<td align="center">
<italic>&#x3d5;</italic>
<sub>
<italic>GSE</italic>
</sub>
</td>
<td align="center">
<italic>Y</italic>
<sub>0</sub>
</td>
<td align="center">
<italic>H</italic>
</td>
<td align="center">
<italic>&#x3b8;</italic>
</td>
<td align="center">
<italic>&#x3d5;</italic>
</td>
<td align="center">
<italic>Y</italic>
<sub>0</sub>
</td>
<td align="center">
<italic>H</italic>
</td>
</tr>
<tr>
<td align="left">MVA<sup>
<italic>a</italic>
</sup>
</td>
<td align="center">&#x2212;43&#xb0;</td>
<td align="center">120&#xb0;</td>
<td align="center">&#x2212;0.12</td>
<td align="center">&#x2b;1</td>
<td align="center">54&#xb0;</td>
<td align="center">99&#xb0;</td>
<td align="center">&#x2212;0.5</td>
<td align="center">&#x2b;1</td>
</tr>
<tr>
<td align="left">LFF<sup>
<italic>b</italic>
</sup>
</td>
<td align="center">&#x2212;40&#xb0;</td>
<td align="center">112&#xb0;</td>
<td align="center">&#x2212;0.04</td>
<td align="center">&#x2b;1</td>
<td align="center">57&#xb0;</td>
<td align="center">114&#xb0;</td>
<td align="center">&#x2212;0.34</td>
<td align="center">&#x2b;1</td>
</tr>
<tr>
<td align="left">CC<sup>
<italic>c</italic>
</sup>
</td>
<td align="center">&#x2212;33&#xb0;</td>
<td align="center">94&#xb0;</td>
<td align="center">0.002</td>
<td align="center">&#x2b;1</td>
<td align="center">53&#xb0;</td>
<td align="center">115&#xb0;</td>
<td align="center">0.02</td>
<td align="center">&#x2b;1</td>
</tr>
<tr>
<td align="left">EC<sup>
<italic>d</italic>
</sup>
</td>
<td align="center">&#x2212;34&#xb0;</td>
<td align="center">86&#xb0;</td>
<td align="center">0.01</td>
<td align="center">&#x2b;1</td>
<td align="center">52&#xb0;</td>
<td align="center">126&#xb0;</td>
<td align="center">0.02</td>
<td align="center">&#x2b;1</td>
</tr>
<tr>
<td align="left">3DCORE<sup>
<italic>e</italic>
</sup>
</td>
<td align="center">&#x2212;34 &#xb1; 9&#xb0;</td>
<td align="center">81 &#xb1; 7&#xb0;</td>
<td align="center">&#x2212;0.02 &#xb1; 0.04</td>
<td align="center">&#x2b;1</td>
<td align="center">72 &#xb1; 3&#xb0;</td>
<td align="center">101 &#xb1; 10&#xb0;</td>
<td align="center">&#x2212;0.2 &#xb1; 0.05</td>
<td align="center">&#x2b;1</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>A significant mismatch in the FR inclination at two different locations (<xref ref-type="table" rid="T1">Table&#xa0;1</xref>) indicates a complexity in the CME1 FR that might result from the early and/or interplanetary FR evolution. An increase in <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> close to the FR rear boundary at L1 and STEREO-A coincides with a shock-like region featured by an enhancement in <italic>B</italic>, <italic>P</italic>
<sub>
<italic>t</italic>
</sub>, and gradually increasing <italic>V</italic>
<sub>
<italic>sw</italic>
</sub> caused by the impact of the HSS behind it.</p>
<p>At L1, region <italic>r</italic>
<sub>4</sub> contains the signatures of multiple interacting FRs with a large and nearly smooth rotation in <italic>B</italic>
<sub>
<italic>z</italic>
</sub>. It suggests that the region was formed of two merged FRs (indicated by shaded regions in <xref ref-type="fig" rid="F2">Figure&#xa0;2A</xref>) corresponding to CME2 and CME3 with a boundary region <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> between them having depression in <italic>B</italic> and enhancement in <italic>N</italic>
<sub>
<italic>p</italic>
</sub> and proton-<italic>&#x3b2;</italic>. A similar region inside a merged FR was identified by <xref ref-type="bibr" rid="B20">Feng&#xa0;et&#xa0;al. (2019)</xref>. A negative-to-positive rotation in <italic>B</italic>
<sub>
<italic>z</italic>
</sub> and almost negative <italic>B</italic>
<sub>
<italic>y</italic>
</sub> suggest that the FR had a right-handed twist and intermediate-to-low-inclination to the ecliptic plane. The FR&#x2019;s orientation was further confirmed using MVA, which gave <italic>&#x3b8;</italic>
<sub>
<italic>GSE</italic>
</sub> &#x3d; &#x2212;28&#xb0; and <italic>&#x3d5;</italic>
<sub>
<italic>GSE</italic>
</sub> &#x3d; 278&#xb0; with an intermediate-to-minimum eigenvalue ratio of 4. The absence of a significant enhancement in &#x27e8;<italic>Q</italic>
<sub>
<italic>Fe</italic>
</sub>&#x27e9; during <italic>r</italic>
<sub>4</sub> suggests that the merged FR did not cross the L1 with its core. Region <italic>r</italic>
<sub>5</sub> contains a local peak in <italic>P</italic>
<sub>
<italic>t</italic>
</sub>, a decreasing <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, gradually increasing <italic>V</italic>
<sub>
<italic>sw</italic>
</sub> and <italic>T</italic>
<sub>
<italic>p</italic>
</sub>, and local peak at <italic>B</italic>. This satisfies the SIR identification criteria suggested by <xref ref-type="bibr" rid="B29">Jian&#xa0;et&#xa0;al. (2006)</xref>, <xref ref-type="bibr" rid="B38">Lepping&#xa0;et&#xa0;al. (1997)</xref>, and <xref ref-type="bibr" rid="B109">Yermolaev&#xa0;et&#xa0;al. (2022)</xref>. <xref ref-type="bibr" rid="B109">Yermolaev&#xa0;et&#xa0;al. (2022)</xref> performed a superposed epoch analysis of solar wind parameters for corotating interaction regions (CIRs) with and without a preceding interplanetary shock wave during high and low solar activity periods and observed a decrease in <italic>n</italic>
<sub>
<italic>p</italic>
</sub> and enhancement in <italic>T</italic>
<sub>
<italic>p</italic>
</sub>, <italic>B</italic>, <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, and thermal pressure. However, they found that the temporal profile of <italic>&#x3b2;</italic> remains at nearly 1 during the CIR crossings. At STEREO-A observation, the rear part of region <italic>r</italic>
<sub>5</sub> contains a local dip in <italic>B</italic>, peak in <italic>&#x3b2;</italic>, <italic>T</italic>
<sub>
<italic>p</italic>
</sub>, and <italic>N</italic>
<sub>
<italic>p</italic>
</sub>, and the <italic>&#x3d5;</italic>
<sub>
<italic>B</italic>
</sub>&#x2019;s sudden crossing of one of the sector boundaries, which further suggests an existence of the HCS crossing at that region (<xref ref-type="bibr" rid="B92">Smith, 2001</xref>; <xref ref-type="bibr" rid="B70">Pal&#xa0;et&#xa0;al., 2022a</xref>). The presence of SIR at region <italic>r</italic>
<sub>5</sub> suggests that the HSS originating from the nearby CH overtook the comparatively slow-speed stream ahead of it. Region <italic>r</italic>
<sub>6</sub> following <italic>r</italic>
<sub>5</sub> contains the HSS, where <italic>V</italic>
<sub>
<italic>sw</italic>
</sub> reached more than 500&#xa0;km/s in both L1 and STEREO-A. The region showed similar characteristics to a high-speed stream that followed and compressed the rear region of an MC studied by <xref ref-type="bibr" rid="B38">Lepping&#xa0;et&#xa0;al. (1997)</xref>. At <italic>r</italic>
<sub>6</sub>, <italic>T</italic>
<sub>
<italic>p</italic>
</sub> was comparatively high, <italic>N</italic>
<sub>
<italic>p</italic>
</sub> was low at STEREO-A and had a gradually decreasing profile at L1, and <italic>B</italic> reached to average and resulted in a comparatively higher <italic>&#x3b2;</italic> than that of the preceding region.</p>
</sec>
<sec id="s3-2">
<title>3.2 Remote-sensing analysis</title>
<p>In the interplanetary medium, before reaching <italic>in situ</italic> observation points, we tracked the propagation of CMEs in heliocentric distance 0.05&#x2013; &#x223c;0.4&#xa0;AU using the STEREO-A/HI-1 imager. We extracted the time-elongation plots for the CMEs and converted them to the time-distance plots using the harmonic mean (HM; <xref ref-type="bibr" rid="B42">Lugaz&#xa0;et&#xa0;al., 2009</xref>) method. This method requires the Sun-observer distance, elongation angle, and the angle (<italic>&#x3d5;</italic>
<sub>
<italic>HM</italic>
</sub>) between the sun-observer line and the LE trajectory. We determined <italic>&#x3d5;</italic>
<sub>
<italic>HM</italic>
</sub> using the CME propagation direction (<italic>&#x3b8;</italic>
<sub>
<italic>lat</italic>
</sub>, <italic>&#x3d5;</italic>
<sub>
<italic>lon</italic>
</sub>) at the maximum observable height <italic>h</italic>
<sub>
<italic>LE</italic>
</sub> from a forward modeling method (<xref ref-type="bibr" rid="B95">Thernisien&#xa0;et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B96">Thernisien&#xa0;et&#xa0;al., 2009</xref>) using LASCO/C2, C3 and STEREO-A/COR2 images. We consider that after <italic>h</italic>
<sub>
<italic>LE</italic>
</sub> &#x223c; 20<italic>Rs</italic>, the CME propagation direction is constant in the heliosphere. From the propagation of CMEs as observed in the heliographic images (<xref ref-type="fig" rid="F6">Figures&#xa0;6A,&#xa0;B</xref>) and the time&#x2013;distance plot (<xref ref-type="fig" rid="F6">Figure&#xa0;6C</xref>) derived from the heliographic images, it is evident that CME1 propagated individually without having an interaction with other CMEs. However, CME3 caught up to the CME2 speed at a heliocentric distance of &#x223c; 0.35 &#xb1; 0.02 au as CME3 had a higher early speed (573&#xa0;km/s) than that of CME2 (465&#xa0;km/s) derived by fitting the height&#x2013;time plot of ICME LEs in coronagraphs.</p>
<p>The CMEs observed in coronagraphs are modeled using Graduated Cylindrical Shells (GCSs; <xref ref-type="bibr" rid="B95">Thernisien&#xa0;et&#xa0;al., 2006</xref>) having croissant-like shapes to understand the three-dimensional morphology of their FRs. The fits are performed to quasi-simultaneous images from different viewpoints covering the height range of 6&#x2013;20&#xa0;Rs to obtain the geometry of CMEs and their propagation directions. We derived their physical parameters including <italic>&#x3b8;</italic>
<sub>
<italic>lat</italic>
</sub>, <italic>&#x3d5;</italic>
<sub>
<italic>lon</italic>
</sub>, aspect ratio (<italic>&#x3ba;</italic>), half angular width (<italic>AW</italic>), tilt (<italic>&#x3bb;</italic>&#x2014;measured counterclockwise positive from the solar west), and the height of the leading edge, <italic>h</italic>
<sub>
<italic>LE</italic>
</sub>. An analysis of the errors in the CME 3D parameters arising from the human-in-the-loop factor has recently been presented by <xref ref-type="bibr" rid="B100">Verbeke&#xa0;et&#xa0;al. (2022)</xref>. In the analysis of the CME1, <xref ref-type="bibr" rid="B12">Dang&#xa0;et&#xa0;al. (2022)</xref> fitted the whole structure of CME1 using a single GCS. Instead, we used two separate GCSs to fit CME1<sub>1</sub> and CME1<sub>2</sub>. The use of multiple GCS models to fit a single structure has been carried out previously to better reproduce the complex appearance of a CME in the coronagraph field-of-view (<xref ref-type="bibr" rid="B80">Rodr&#xed;guez-Garc&#xed;a&#xa0;et&#xa0;al., 2022</xref>). In movie m1 (&#x201c;m1. mov&#x201d;) and m2 (&#x201c;m2. mov&#x201d;) attached with this paper, we show GCS approximations of CME1<sub>1</sub> and CME1<sub>2</sub> during the interval 2022/01/30 00:23&#x2013;2022/01/30 03:38. In the lower panels of <xref ref-type="fig" rid="F4">Figures&#xa0;4</xref>, <xref ref-type="fig" rid="F5">5</xref>, we display the GCS approximation of CME2 and CME3, respectively.</p>
<p>Columns 1&#x2013;5 of <xref ref-type="table" rid="T2">Table&#xa0;2</xref> list the GCS-fitting results for three CMEs. Here, the results in row 1 are derived by a single GCS approximation of CME1 as carried out by <xref ref-type="bibr" rid="B12">Dang&#xa0;et&#xa0;al. (2022)</xref>. Row 2 contains the fitting results where CME1 is approximated with two different GCS structures. Rows 3 and 4 contain GCS-fit results for CME2 and CME3, respectively. To investigate the atypical shape of CME1 associating two distinct structures in coronagraphs (<xref ref-type="sec" rid="s2-1-2">Section&#xa0;2.1.2</xref>), we concentrated on interpreting CME1&#x2019;s solar origin and its early evolution. To obtain the footpoints of the CME in the low-corona (<xref ref-type="bibr" rid="B15">Dissauer&#xa0;et&#xa0;al., 2019</xref>), we captured the extent of coronal dimming&#x2014;regions of strongly reduced emission at EUV (<xref ref-type="bibr" rid="B27">Hudson&#xa0;et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B94">Sterling and Hudson, 1997</xref>)&#x2014;by using cumulative dimming masks during the interval started at the time of flare onset and ended, while the CME appeared as a full-grown structure in coronagraphs. The dimming masks contain all pixels having intensity below a certain threshold obtained following the work of <xref ref-type="bibr" rid="B76">Reinard and Biesecker (2008)</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>CME parameters obtained from GCS approximations and converted to the WSA-ENLIL&#x2b;Cone model input.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Events</th>
<th colspan="5" align="center">GCS-fit results</th>
<th colspan="5" align="center">CME input to the ENLIL model</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">
<italic>&#x3b8;</italic>
<sub>
<italic>lat</italic>
</sub>
</td>
<td align="center">
<italic>&#x3d5;</italic>
<sub>
<italic>lon</italic>
</sub>
</td>
<td align="center">
<italic>&#x3ba;</italic>
</td>
<td align="center">
<italic>AW</italic>
</td>
<td align="center">
<italic>&#x3bb;</italic>
</td>
<td align="center">rmaj</td>
<td align="center">rmin</td>
<td align="center">tilt</td>
<td align="center">vcme</td>
<td align="center">Date <italic>&#x26;</italic> Time @ 21.5 RS (UT)</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(&#xb0;)</td>
<td align="center">(&#xb0;)</td>
<td align="left"/>
<td align="center">(&#xb0;)</td>
<td align="center">(&#xb0;)</td>
<td align="center">(&#xb0;)</td>
<td align="center">(&#xb0;)</td>
<td align="center">(&#xb0;)</td>
<td align="center">(km/s)</td>
<td align="center">(UT)</td>
</tr>
<tr>
<td align="left">CME1</td>
<td align="center">&#x2212;6</td>
<td align="center">&#x2212;34</td>
<td align="center">0.63</td>
<td align="center">38.4</td>
<td align="center">42</td>
<td align="center">77</td>
<td align="center">39</td>
<td align="center">42</td>
<td align="center">817</td>
<td align="center">2022-01-30 03:38</td>
</tr>
<tr>
<td align="left">CME1<sub>1</sub>
</td>
<td align="center">12</td>
<td align="center">&#x2212;13</td>
<td align="center">0.37</td>
<td align="center">17.5</td>
<td align="center">&#x2212;35</td>
<td align="center">39.23</td>
<td align="center">21.7</td>
<td align="center">&#x2212;50</td>
<td align="center">697</td>
<td align="center">2022-01-30 04:34</td>
</tr>
<tr>
<td align="left">CME1<sub>2</sub>
</td>
<td align="center">&#x2212;6</td>
<td align="center">&#x2212;22</td>
<td align="center">0.44</td>
<td align="center">38.3</td>
<td align="center">44</td>
<td align="center">64.4</td>
<td align="center">26.1</td>
<td align="center">44</td>
<td align="center">713</td>
<td align="center">2022-01-30 04:07</td>
</tr>
<tr>
<td align="left">CME2</td>
<td align="center">15</td>
<td align="center">20</td>
<td align="center">0.35</td>
<td align="center">15</td>
<td align="center">25</td>
<td align="center">37</td>
<td align="center">22</td>
<td align="center">25</td>
<td align="center">465</td>
<td align="center">2022-02-01 00:41</td>
</tr>
<tr>
<td align="left">CME3</td>
<td align="center">20</td>
<td align="center">24</td>
<td align="center">0.3</td>
<td align="center">20</td>
<td align="center">35</td>
<td align="center">38</td>
<td align="center">18</td>
<td align="center">35</td>
<td align="center">573</td>
<td align="center">2022-02-01 14:19</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The dimming region is indicated using a red contour on the STEREO-A/EUVI image in <xref ref-type="fig" rid="F9">Figure&#xa0;9A</xref>. It surrounds both ARs 12936 and 12938, which further suggests that CME1 eruption resulted due to an interplay between two ARs. We notice that the southeastern part of the red contour in Figure&#xa0;9A was in close proximity to a CH (shown in white in <xref ref-type="fig" rid="F9">Figure&#xa0;9A</xref>) that might initially deflect the FR structure. The two bipolar ARs are shown using HMI magnetogram in the lower panel of <xref ref-type="fig" rid="F9">Figure&#xa0;9A</xref>, where the outward and inward magnetic field line regions are indicated by white and black patches, respectively. The polarity inversion line (PIL) is overplotted with a red line. We notice that the PIL exists only on AR 12936 and the radial magnetic field component <italic>B</italic>
<sub>
<italic>r</italic>
</sub> of AR 12938 barely crossed the noise threshold. It further suggests that AR 12936 is stronger than AR 12938. <xref ref-type="fig" rid="F9">Figure&#xa0;9B</xref> shows extrapolated closed coronal field lines connected to AR 12936 and AR 12938. The coronal field lines are obtained using the potential field source surface (PFSS; <xref ref-type="bibr" rid="B101">Wang and Sheeley, 1992</xref>) model. We utilize the pfsspack1 <ext-link ext-link-type="uri" xlink:href="https://www.lmsal.com/&#x223c;derosa/pfsspack/">https://www.lmsal.com/&#x223c;derosa/pfsspack/</ext-link> IDL library to perform PFSS extrapolations. <xref ref-type="fig" rid="F9">Figure&#xa0;9C</xref> shows a running-ratio composite image prepared with STEREO-A/EUVI 195, 284, 171&#xa0;&#xc5; images, where the dashed white line indicates the wavefront of the pseudo-wave generated from the expanding outer envelope of the propagating CME (<xref ref-type="bibr" rid="B66">Olmedo&#xa0;et&#xa0;al., 2012</xref>) and the coronal hole region is shown in black. The locations of L1, SolO, and STEREO-A during the structured heliosphere interval are projected on the solar disk using cyan, blue, and red dots, respectively. Based on the derived orientation of the CME1 FR axis (<xref ref-type="table" rid="T1">Table&#xa0;1</xref>) at two different locations, L1 and STEREO-A, we approximated the global structure of CME1 FR and represented the same in <xref ref-type="fig" rid="F9">Figure&#xa0;9D</xref>. The global FR structure approximated from its <italic>in situ</italic> observations matches well with the FR&#x2019;s imprints on running-ratio composite images and coronagraphs.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Coronal dimming region (red contour) formed during CME1 eruption is overplotted on the STA/EUVI 195&#xc5; image along with the coronal hole shown in white. The white-outlined box contains both ARs which are shown in the SDO/HMI magnetogram. The polarity inversion line is shown using a red contour overplotted on the magnetogram. The blue contours enclose regions with a radial magnetic field <italic>B</italic>
<sub>
<italic>r</italic>
</sub> greater than the noise threshold. <bold>(B)</bold> Coronal field extrapolation till 2.5 Rs using PFSS. The white field lines are closed field lines associated with AR 12936 and 12938. The different arcades derived using PFSS are named as central arcade, side lobes, and overlying arcade following the 3D cartoon of a typical breakout configuration shown in <xref ref-type="bibr" rid="B9">Chen&#xa0;et&#xa0;al. (2016)</xref>. <bold>(C)</bold> CME1 wavefront is indicated by the white dotted line on a running-ratio composite image, where the presence of a coronal hole is shown using a red-filled contour. <bold>(D)</bold> Sketch of the CME1 FR&#x2019;s global shape where the right and left circular cross-sectioned cylinders are used to show the FR&#x2019;s orientation and size at L1 and STEREO-A, respectively. The locations of L1, SolO, and STEREO-A are projected on the solar disk and shown using cyan, blue, and red color dots on all panels.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g009.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Heliospheric modeling analysis</title>
<p>To understand the structured heliosphere&#x2019;s behavior, we simulated the solar wind conditions in 0.1&#x2013;2&#xa0;au radial, &#x2212;60&#xb0; &#x2212; &#x2b;60&#xb0; latitudinal, and 0&#xb0;&#x2013;360&#xb0; longitudinal extents, during 29 January 29&#x2013;7 February 2022. We used the WSA-ENLIL&#x2b;Cone model available at NASA&#x2019;s CCMC that couples the WSA (version 5.2) model&#x2019;s synoptic maps computed from the time-dependent sequence of daily updated GONG synoptic magnetograms with the ENLIL (version 2.8f) model having the default ambient solar wind condition setting (&#x201c;a6b1&#x201d;) and the CME kinematics and speed derived from the GCS fitting at 21.5 Rs. Columns 6&#x2013;10 in <xref ref-type="table" rid="T2">Table&#xa0;2</xref> show the CME parameter translation from the GCS output to the ENLIL input following the process discussed in <xref ref-type="bibr" rid="B55">Nieves-Chinchilla&#xa0;et&#xa0;al. (2022)</xref>. The WSA-ENLIL&#x2b;Cone model is strongly influenced by the CME inputs (<xref ref-type="bibr" rid="B52">Mays&#xa0;et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B32">Kay&#xa0;et&#xa0;al., 2020</xref>), errors and uncertainty in ambient model parameters, and solar wind background derived using coronal maps.</p>
<p>We obtained two simulation results, <italic>S</italic>
<sub>1</sub> and <italic>S</italic>
<sub>2</sub>, using two sets of CME input parameters, where for <italic>S</italic>
<sub>1</sub>, we considered CME1 as a single structure while approximated with GCS, and for <italic>S</italic>
<sub>2</sub>, we used two separate GCSs to reconstruct the two parts of CME1&#x2014;<italic>CME</italic>1<sub>1</sub> and <italic>CME</italic>1<sub>2</sub>. In <xref ref-type="fig" rid="F10">Figures&#xa0;10A,&#xa0;B</xref>, we provide snapshots of ENLIL simulation results in the ecliptic plane before and after the merging of CME2 and CME3, respectively. <xref ref-type="fig" rid="F10">Figures&#xa0;10C&#x2013;E</xref> show the comparison of simulated solar wind parameters with the <italic>in situ</italic> observation at L1, SolO, and STEREO-A, respectively. The simulation results from <italic>S</italic>
<sub>1</sub> and <italic>S</italic>
<sub>2</sub> (the simulations are available at S1 <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain=SH&#x0026;runnumber=Sanchita_Pal_082022_SH_1">https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain&#x3d;SH&#x0026;runnumber&#x3d;Sanchita_Pal_082022_SH_1</ext-link> and S2 <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain=SH&#x0026;runnumber=Sanchita_Pal_092922_SH_1">https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain&#x3d;SH&#x0026;runnumber&#x3d;Sanchita_Pal_092922_SH_1</ext-link>) are represented in purple and red colors, respectively. <xref ref-type="table" rid="T3">Table&#xa0;3</xref> summarizes the results of the comparison of the shock arrival at L1, SolO, and STEREO-A derived from <italic>S</italic>
<sub>1</sub> and <italic>S</italic>
<sub>2</sub> (the simulations are available at S1 <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain=SH&#x0026;runnumber=Sanchita_Pal_082022_SH_1">https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain&#x3d;SH&#x0026;runnumber&#x3d;Sanchita_Pal_082022_SH_1</ext-link> and S2 <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain=SH&#x0026;runnumber=Sanchita_Pal_092922_SH_1">https://ccmc.gsfc.nasa.gov/results/viewrun.php?domain&#x3d;SH&#x0026;runnumber&#x3d;Sanchita_Pal_092922_SH_1</ext-link>) to its observed arrival times and speeds. The negative signs in the values of columns 5 and 6 indicate that the simulated arrival time of the shock (<italic>r</italic>
<sub>1</sub>) at L1 and SolO is later than the observed, and the simulated arrival speeds are less than those of the observed ones. By comparing the <italic>S</italic>
<sub>2</sub> simulation results to the observations, we find that the simulated shock arrival time and speed were within &#xb1; 4&#xa0;h and &#xb1; 50&#xa0;km/s of those of the observed values, respectively. The errors in prediction are within the mean absolute error range that <xref ref-type="bibr" rid="B106">Wold&#xa0;et&#xa0;al. (2018)</xref> found in their study, where they used the WSA-ENLIL&#x2b;Cone model in prediction of the ICME arrival time at L1, STEREO-A, and STEREO-B during the interval of March 2010 and December 2016.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Overview of the WSA-ENLIL&#x2b;Cone simulation result at three locations. <bold>(A</bold>,<bold>B)</bold> Snapshots of the simulation (<italic>S</italic>
<sub>2</sub>) results for the radial speed Vr shown in the ecliptic plane before and after merging of CME2 and CME3, respectively. The white contours represent the simulated location of HCS. <bold>(C&#x2013;E)</bold> Solar wind plasma parameters such as magnetic field intensity <bold>(B)</bold>, solar wind speed (<italic>V</italic>
<sub>
<italic>sw</italic>
</sub>), density (<italic>N</italic>
<sub>
<italic>p</italic>
</sub>), and temperature (<italic>T</italic>
<sub>
<italic>p</italic>
</sub>) derived from <italic>S</italic>
<sub>1</sub> and <italic>S</italic>
<sub>2</sub> simulations are overplotted on real observations using purple and red lines, respectively. The vertical lines explain the boundaries of the regions described in <xref ref-type="sec" rid="s3">Section&#xa0;3</xref>.</p>
</caption>
<graphic xlink:href="fspas-10-1195805-g010.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Summary of results obtained from the comparison between the simulated and real arrival speed (<italic>&#x3b4;V</italic>
<sub>
<italic>arr</italic>
</sub>) and time (<italic>&#x3b4;t</italic>
<sub>
<italic>arr</italic>
</sub>) of the structured heliosphere at different locations.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Arrival parameters</th>
<th colspan="3" align="center">
<italic>S</italic>
<sub>1</sub>
</th>
<th colspan="3" align="center">
<italic>S</italic>
<sub>2</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">L1</td>
<td align="center">SolO</td>
<td align="center">STEREO-A</td>
<td align="center">L1</td>
<td align="center">SolO</td>
<td align="center">STEREO-A</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b4;t</italic>
<sub>
<italic>arr</italic>
</sub> (hr) &#x223c;</td>
<td align="center">2.9</td>
<td align="center">4</td>
<td align="center">8</td>
<td align="center">&#x2212;3.2</td>
<td align="center">&#x2212;1</td>
<td align="center">1.3</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b4;V</italic>
<sub>
<italic>arr</italic>
</sub> (km/s) &#x223c;</td>
<td align="center">44</td>
<td align="center">&#x2014;</td>
<td align="center">99</td>
<td align="center">&#x2212;17</td>
<td align="center">&#x2014;</td>
<td align="center">50</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The speed of HSS that we obtained using the model was &#x223c;50&#xa0;km/s lower than the observed value at both L1 and STEREO-A. However at L1, the modeled solar wind parameters specifically, <italic>B</italic> and <italic>V</italic>
<sub>
<italic>sw</italic>
</sub>, were significantly different from the observed ones at <italic>r</italic>
<sub>4</sub> and the region in between <italic>r</italic>
<sub>3</sub> and <italic>r</italic>
<sub>4</sub>. The modeled and observed solar wind speed difference at the region between <italic>r</italic>
<sub>3</sub> and <italic>r</italic>
<sub>4</sub> was <inline-formula id="inf15">
<mml:math id="m15">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>200</mml:mn>
</mml:math>
</inline-formula> km/s. <xref ref-type="bibr" rid="B90">Shugay&#xa0;et&#xa0;al. (2018)</xref> used WSA-ENLIL&#x2b;Cone simulation to model an HSS speed while the HSS interacted with merged ICMEs. As the model could not capture the interaction well, they found the difference between the modeled and observed speeds of the HSS as 217&#xa0;km/s.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>Using multi-point remote and <italic>in situ</italic> analysis combined with global simulations, this study uncovers a complex compound heliospheric structure triggered by several large-scale structures. The part of the structure that impinged Earth caused multiple moderate geomagnetic storms. Interestingly, we found that the properties of the structure varied significantly in different longitudinally separated locations, which further indicates that the structure&#x2019;s impacts on different locations might not be the same. This study leads to an enhanced understanding of the global properties of compound heliospheric structures and the reasons behind the disparities in their local properties.</p>
<p>At L1, the structured heliosphere contained six different components including an interplanetary shock, a sheath followed by an individual and merged FRs associated with CME1 and CME2&#x2b;CME3, respectively, an SIR, and an HSS. The total energy input to the magnetosphere during the crossing of the structured heliosphere through L1 was approximated as <italic>W</italic>
<sub>
<italic>&#x3f5;</italic>
</sub> &#x3d; <italic>&#x222b;&#x3f5;</italic>(<italic>t</italic>)<italic>dt</italic> &#x3d; 4.3 &#xd7; 10<sup>14</sup>&#xa0;<italic>W</italic> (<xref ref-type="bibr" rid="B74">Perreault and Akasofu, 1978</xref>). At STEREO-A, the structured heliosphere contained four regions except the CME2 &#x2b; CME3 FR. If the structure appeared at STEREO-A hit Earth, <italic>W</italic>
<sub>
<italic>&#x3f5;</italic>
</sub> could decrease by a factor of 25 from its derived value at L1. From the <italic>ion</italic>
<sub>
<italic>E</italic>
</sub> parameter, only the presence of shock, sheath, and CME1 FR was approximated at SolO.</p>
<p>Close to the CME1 FR rear boundary, a shock-like/compression wave structure was observed that matches to what <xref ref-type="bibr" rid="B38">Lepping&#xa0;et&#xa0;al. (1997)</xref> and <xref ref-type="bibr" rid="B88">Scolini&#xa0;et&#xa0;al. (2020)</xref> found inside FRs which was followed by an SIR and a CME, respectively. The CME&#x2013;CME interaction studied by <xref ref-type="bibr" rid="B88">Scolini&#xa0;et&#xa0;al. (2020)</xref> reported a shock inside the preceding CME. The shock amplified the CME&#x2019;s <italic>B</italic>
<sub>
<italic>z</italic>
</sub> significantly and resulted in an intense geomagnetic storm. In our case, the shock-like structure amplified the southward magnetic field component of CME1 FR by <inline-formula id="inf16">
<mml:math id="m16">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>8</mml:mn>
<mml:mspace width="0.3333em" class="nbsp"/>
</mml:math>
</inline-formula> nT observed at both L1 and STEREO-A. This structure was driven by a following HSS and a merged FR at L1.</p>
<p>The WSA-ENLIL&#x2b;Cone simulation allowed us to reconstruct the propagation scenario of multiple interacting solar wind transients in the inner heliosphere till 2&#xa0;au. It shows the presence of an HSS behind the eastern part of CME1 and a merged CME2&#x2b;CME3 behind the western part of CME1. The solar wind speed observed at <italic>r</italic>
<sub>6</sub> and in between <italic>r</italic>
<sub>3</sub> and <italic>r</italic>
<sub>4</sub> at L1 was almost similar. The observation suggests that the merged CME2 &#x2b; CME3 structure was overtaken by the following HSS, which further penetrated in between <italic>r</italic>
<sub>3</sub> and <italic>r</italic>
<sub>4</sub>, pushed ICME1 from behind, and caused instability inside the ICME1 FR. However, from the simulation result, the HSS behavior of overtaking the merged CME2 &#x2b; CME3 structure was not confirmed. Although the simulated results had good agreement with the observed arrival time and speed of the shock driven by ICME1, the simulation could not capture well the merged ICME (CME2 &#x2b; CME3)&#x2019;s arrival time and its interaction with the HSS at L1. From the observational analysis, we could confirm that unlike CME1, the merged ICME structure crossed L1 with its flank discussed in (<xref ref-type="sec" rid="s3-1">Section&#xa0;3.1</xref>), although simulation results did not fully agree with it. According to the simulation, the merged ICME crossed L1 not so far from its apex, the density of the complex-merged ICME was higher than the surroundings and became an obstacle for the HSS. Therefore, the HSS remained behind the merged ICME while arrived at L1.</p>
<p>The comparison between the observed and modeled solar wind features demonstrates that this type of modeling approaches can successfully reproduce the large-scale features of the structured solar wind, but have a number of limitations that must be considered while modeling their interactions. The Cone model of CME is a hydrodynamic structure, and it is inserted into the inner ENLIL boundary (21.5 <italic>R</italic>
<sub>
<italic>s</italic>
</sub>) as a cloud of spherical plasma with uniform plasma properties (<xref ref-type="bibr" rid="B52">Mays&#xa0;et&#xa0;al., 2015</xref>). The structure gradually expands with time and evolves in the presence of surrounding solar transients. At the inner boundary, the modeled CME lacks an internal (driver) magnetic field, and as a result, the ENLIL&#x2b;Cone model may tend to overestimate the plasma density and temperature of the propagating structure and underestimate the magnetic field strength (<xref ref-type="bibr" rid="B107">Xie&#xa0;et&#xa0;al., 2012</xref>). Including the internal magnetic field is essential for accurately capturing the physics of an ICME&#x2019;s evolution and its solar wind interaction in transit (<xref ref-type="bibr" rid="B44">Luhmann&#xa0;et&#xa0;al., 2020</xref>). Also, the model of ambient corona that is used to drive the ambient solar wind model majorly utilizes the processed line-of-sight (LOS) magnetograms of the Earth-facing solar disk. <xref ref-type="bibr" rid="B78">Riley&#xa0;et&#xa0;al. (2012)</xref> and <xref ref-type="bibr" rid="B47">MacNeice&#xa0;et&#xa0;al. (2018)</xref> discussed in more detail the limitations of the data inputs available to these models, assessed the possible error sources in the modeling, and speculated the way of mitigation of these problems in the future.</p>
<p>At L1, the FR axis orientation matched well with the tilt of <italic>CME</italic>1<sub>1</sub> (obtained using GCS), the post-eruption arcade that appeared as a coronal signature of the CME eruption at AR12936 observed using SDO/AIA 193&#xc5; during 00:00-06:00 UT on 30 January 2022, and the AR&#x2019;s PIL (see <xref ref-type="fig" rid="F9">Figure&#xa0;9A</xref>). At STEREO-A, the FR axis direction matched well with the tilt of <italic>CME</italic>1<sub>2</sub> (obtained from the GCS-fitting result). However, we could not locate any post-eruption arcade and PIL on the corona whose tilt could be matched with the tilt of <italic>CME</italic>1<sub>2</sub>. Although stealth CME can erupt without leaving any coronal signature, it is not straightforward to relate the field-line orientation inside the FR observed by STEREO-A with another CME that could possibly erupt from the multipolar flux system connected to AR 12936 and AR 12938. Thus, we speculate that <italic>CME</italic>1<sub>2</sub> was a part of CME1 and resulted from the deflection of the eastern part of CME1 due to interaction with the nearby CH. The coronal wave&#x2019;s structure shown in <xref ref-type="fig" rid="F9">Figure&#xa0;9C</xref> suggests that due to the open magnetic field configuration of the CH located at the southeast of AR pairs, the CME&#x2019;s eastern part underwent a deflection toward the north (<xref ref-type="bibr" rid="B66">Olmedo&#xa0;et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B24">Heinemann&#xa0;et&#xa0;al., 2019</xref>). At a height of 8&#xa0;Rs, the eastern part of CME1 was observed to be inclined with &#x223c; &#x2212; 36&#xb0; (measured clockwise negative from the solar west), whereas the western part was inclined with <inline-formula id="inf17">
<mml:math id="m17">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>44</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:math>
</inline-formula> deg&#xa0;to the ecliptic plane.</p>
<p>To obtain the footprints of CME1 and its initial behavior, we derived coronal dimming regions (red contour in <xref ref-type="fig" rid="F9">Figure&#xa0;9A</xref>) resulting from CME1 eruption. The dimming regions surrounded two consecutive bipolar ARs (AR-12936 and AR-12938). From the extrapolated coronal field lines obtained using PFSS (<xref ref-type="fig" rid="F9">Figure&#xa0;9B</xref>), we confirm that AR 12936 and AR 12938 formed a multipolar flux system (central arcade and side lobes), where a null point was formed between an energized low-lying sheared arcade (central arcade) and an overlying arcade with an opposite polarity. <xref ref-type="bibr" rid="B9">Chen&#xa0;et&#xa0;al. (2016)</xref> proposed a 3D cartoon for a typical breakout configuration (<xref ref-type="fig" rid="F1">Figure&#xa0;1A</xref>). The multipolar flux system in our case resembles the arcade geometry described in that figure quite well. In such a configuration, reconnection can occur when the low-lying sheared arcade rises and compresses the current layer around the null point (<xref ref-type="bibr" rid="B3">Antiochos&#xa0;et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B45">Lynch&#xa0;et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B76">Reinard and Biesecker, 2008</xref>; <xref ref-type="bibr" rid="B31">Karpen&#xa0;et&#xa0;al., 2012</xref>). This leads to reconnection that causes flux transfer from the restraining overlying arcade to the neighboring side lobes and reduces the confining force acting on the flux system. The reduced overarching force can further trigger an explosive flare-reconnection at the side lobes with favorable conditions (<xref ref-type="bibr" rid="B46">Lynch and Edmondson, 2013</xref>; <xref ref-type="bibr" rid="B70">Pal&#xa0;et&#xa0;al., 2022a</xref>). In our case, CME1 eruption that was accompanied by an M-class flare might have followed the eruption mechanism described previously. The flare signature was prominent at AR12936, which was a strong magnetic region in the whole flux system. We also observed a filament between the two ARs (below the low-lying arcade) using GONG/H-<italic>&#x3b1;</italic> imagery. However, the filament might not be a source of any other eruption because it was almost static due to the increased magnetic tension resulting from the reconnection between neighboring sidelobes and was not observed to rise above and erupt. It went through &#x201c;slow-dissolution&#x201d; during 4:52&#x2013;5:45 UT on 30 January 2022, after the CME1&#x2019;s eruption took place. The disappearance of filaments may occur when the rate of its mass loss to the chromosphere increased the rate of new mass accumulation (<xref ref-type="bibr" rid="B50">Martin, 1973</xref>).</p>
<p>Using multi-point solar and heliospheric observations coupled with heliospheric modeling, this work aims to understand the anatomy of a complex-structured heliosphere that includes several large-scale interacting heliospheric structures like CMEs, SIR, and HSS. Thanks to the facility of multiple simultaneous solar and heliospheric remotes and <italic>in situ</italic> observations that allowed us to understand the components of the structured heliosphere and their interplay. The period considered for this analysis was led by a CME which had significantly unalike appearances at two distant locations&#x2014;at STEREO-A and L1. At L1, the range of electromagnetic energy (<italic>&#x3f5;</italic>) that was transferred from the solar wind during 2&#x2013;5 February 2022 was 0.1&#x2013;2 &#xd7; 10<sup>12</sup> W. In general, during magnetic storms, the energy exceeds 10<sup>12</sup> W and may intermittently reach up to 10<sup>13</sup> W (<xref ref-type="bibr" rid="B35">Koskinen and Tanskanen, 2002</xref>). In our case, the evolution and impact on Earth of the structured heliosphere resulted in two minor geomagnetic storms, which are believed to influence the loss of satellites owned by an aerospace manufacturing company Space-X. During the same interval, <inline-formula id="inf18">
<mml:math id="m18">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>0.6</mml:mn>
</mml:math>
</inline-formula> au eastward to the L1, the total transferred electromagnetic energy <italic>W</italic>
<sub>
<italic>&#x3f5;</italic>
</sub> was significantly lesser than that at L1. Therefore, this study supports the employment of multi-point remote and <italic>in situ</italic> observations along with the heliospheric modeling in studying interacting heliospheric events to infer their global structures and improve the predictability of space weather.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found as follows: Automated Multi-Dataset Analysis (AMDA; <ext-link ext-link-type="uri" xlink:href="http://amda.irap.omp.eu/index.html">http://amda.irap.omp.eu/index.html</ext-link>), Coordinated Data Analysis Web (CDAWeb; <ext-link ext-link-type="uri" xlink:href="https://cdaweb.gsfc.nasa.gov/">https://cdaweb.gsfc.nasa.gov/</ext-link>), the ACE Science Center (ASC; <ext-link ext-link-type="uri" xlink:href="https://izw1.caltech.edu/ACE/ASC/level2/index.html">https://izw1.caltech.edu/ACE/ASC/level2/index.html</ext-link>) database, and the STEREO Science Center (SSC; <ext-link ext-link-type="uri" xlink:href="https://stereo-ssc.nascom.nasa.gov/data.shtml">https://stereo-ssc.nascom.nasa.gov/data.shtml</ext-link>). This work made use of ESA&#x27;s JHelioviewer <xref ref-type="bibr" rid="B54">M&#xfc;ller et al. (2017)</xref> software. The GCS approximation of CMEs are performed using <ext-link ext-link-type="uri" xlink:href="https://github.com/johan12345/gcs_python/tree/0.2.2">https://github.com/johan12345/gcs_python/tree/0.2.2</ext-link> GCS Python (DOI: 10.5281/zenodo.5084818). Gieseler et al. (2023) is used to demonstrate the location of spacecrafts. The heliospheric model simulations are performed in Community Coordinated Modeling Center (CCMC; <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/">https://ccmc.gsfc.nasa.gov/</ext-link>).</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>SP, TNC, LB, EK, and FC contributed to the conception and design of the study. SP, LB, AW, and TNC performed the analysis. All authors contributed to preparing the manuscript and approved the submitted version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>SP acknowledges the support of NASA Solar Orbiter Collaboration and STEREO missions. TNC acknowledges the support of the NASA Solar Orbiter, STEREO, PSP missions, and Heliophysics Internal Fund (HIF) programs. CM was funded by the European Union (ERC, HELIO4CAST, 101042188).</p>
</sec>
<ack>
<p>SP thanks Dr. James A Klimchuk for the useful discussion on the solar origin of the CMEs, Dr. Erika Palmerio for her help initially with the Community Coordinated Modeling Center (CCMC) model run, and Dr. Katsuhide Marubashi for providing us with the linear force-free cylindrical model. TNC, SP, and FC acknowledge the scientific discussion within the LASSOS-Goddard group. The WSA and Enlil models were developed by C. N. Arge (currently at NASA/GSFC) and D. Odstrcil (currently at GMU), respectively. The authors would like to thank the model developers and the Community Coordinated Modeling Center (CCMC) staff. The authors also acknowledge the Solar Orbiter, SDO, NSO, SOHO, and STEREO teams.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<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>
<sec id="s10">
<title>Author disclaimer</title>
<p>Views and opinions expressed are, however, those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fspas.2023.1195805/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fspas.2023.1195805/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Video2.mp4" id="SM1" mimetype="application/mp4" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Video1.mp4" id="SM2" mimetype="application/mp4" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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