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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">1107605</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1107605</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>Distinctive response of thermospheric cooling to ICME and CIR-driven geomagnetic storms</article-title>
<alt-title alt-title-type="left-running-head">Bag et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fspas.2023.1107605">10.3389/fspas.2023.1107605</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Bag</surname>
<given-names>Tikemani</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2080323/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rout</surname>
<given-names>Diptiranjan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2149235/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ogawa</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Singh</surname>
<given-names>Vir</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Institute of Polar Research</institution>, <addr-line>Tachikawa</addr-line>, <country>Japan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>GFZ German Research Centre for Geosciences</institution>, <addr-line>Potsdam</addr-line>, <country>Germany</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Physics</institution>, <institution>Indian Institute of Technology Roorkee</institution>, <addr-line>Roorkee</addr-line>, <country>India</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/2030743/overview">Xu-Zhi Zhou</ext-link>, Peking University, China</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/2114554/overview">Jiuhou Lei</ext-link>, University of Science and Technology of China, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1447477/overview">Denny Oliveira</ext-link>, University of Maryland, Baltimore County, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Tikemani Bag, <email>tiku.bag@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Space Physics, a section of the journal Frontiers in Astronomy and Space Sciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1107605</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Bag, Rout, Ogawa and Singh.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Bag, Rout, Ogawa and Singh</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>The temporal response of thermospheric CO<sub>2</sub> and NO cooling emissions is investigated during ICME and CIR-driven geomagnetic storms by using data from the SABER instrument onboard the TIMED, GRACE, and DMSP satellites. The superposed epoch analysis reveals that the cooling emissions experience a strong enhancement and quick recovery to pre-event value within 3&#x2013;4&#xa0;days during CME storms. Whereas, it shows slower recovery that lasts for more than 6&#x2013;7&#xa0;days during CIR-driven storms. We performed detailed study of NO cooling emission owing to the fact that the production of NO depends on the external energy input. The different response of thermospheric NO cooling during CME and CIR storms can be attributed to differences in precipitation of particle (electron and ion) fluxes. A strong correlation with a positive timelag is observed between NO cooling emission and Dst index, coupling functions and particle flux. Further, the correlation between NO cooling flux and particle flux displays a distinct and stronger correlation during CIR storms as compared to CME. This study also shows that the Newell coupling function (normalized cross-correlation, r &#x3d; 0.90 for CME and r &#x3d; 0.92 for CIR) and the Akasofu parameter (r &#x3d; 0.92 for CME, r &#x3d; 0.76 for CIR) are better correlated with NO cooling flux, respectively, during CIR- and ICME-driven storms.</p>
</abstract>
<kwd-group>
<kwd>thermospheric radiative cooling</kwd>
<kwd>nitric oxide</kwd>
<kwd>carbon dioxide</kwd>
<kwd>geomagnetic storm</kwd>
<kwd>satellite observations</kwd>
</kwd-group>
<contract-sponsor id="cn001">Japan Society for the Promotion of Science<named-content content-type="fundref-id">10.13039/501100001691</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The large-scale magnetic reconnection process on the Sun&#x2019;s corona, particularly during solar maxima, gives rise to the Interplanetary Coronal Mass Ejections (ICMEs). On the other hand, during the declining and minimum phase of the solar cycle, the fast solar wind (600&#x2013;800&#xa0;kms<sup>&#x2212;1</sup>) emanating from the coronal holes interacts with the background slow solar wind stream (300&#x2013;400&#xa0;kms<sup>&#x2212;1</sup>) in the interplanetary medium forming an interaction region known as a Corotating Interaction Regions (CIRs). Generally, CMEs create the strongest geomagnetic storms while the storms formed by CIRs are less intense but can last for several days (<xref ref-type="bibr" rid="B44">Smith and Wolfe 1976</xref>; <xref ref-type="bibr" rid="B9">Borovsky and Denton 2006</xref>; <xref ref-type="bibr" rid="B49">Tsurutani et al. 2006</xref>). Consequently, the CME induced storms are impulsive, and the CIR induced are more protractive in terms of solar energy depositions into the magnetosphere-ionosphere (M-I) system and hence their impacts (<xref ref-type="bibr" rid="B9">Borovsky and Denton 2006</xref>; <xref ref-type="bibr" rid="B49">Tsurutani et al. (2006)</xref>, <xref ref-type="bibr" rid="B43">Rout et al. (2017)</xref>, <xref ref-type="bibr" rid="B42">Rout et al. (2022)</xref>, <xref ref-type="bibr" rid="B41">Richardson 2018</xref>; <xref ref-type="bibr" rid="B35">Ogawa et al., 2019</xref>).</p>
<p>The infrared radiative cooling by thermospheric nitric oxide (NO) <italic>via</italic> 5.3&#xa0;&#x3bc;m wavelength and carbon dioxide (CO<sub>2</sub>) <italic>via</italic> 15&#xa0;&#x3bc;m molecular emissions are two major sources that regulate the thermospheric temperature through the rapid release of energy into space and lower atmosphere (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>). Several investigations have shown that the cooling emissions show a strong correlation with the Dst index during ICME-induced geomagnetic storms (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>; <xref ref-type="bibr" rid="B3">Bag., 2018</xref>; <xref ref-type="bibr" rid="B22">Knipp et al., 2013</xref>; <xref ref-type="bibr" rid="B23">Knipp et al., 2017</xref>; <xref ref-type="bibr" rid="B53">Zesta and Oliveira, 2019</xref>). At the same time, a few studies also reported the response of these cooling emissions during CIR-driven storms (<xref ref-type="bibr" rid="B50">Verkhoglyadova et al., 2015</xref>; <xref ref-type="bibr" rid="B51">Verkhoglyadova et al., 2016</xref>). Nevertheless, the similarities and differences in the effects of these two types of storms on thermospheric cooling are still not well understood and need to be further studied.</p>
<p>The primary mechanism for the production of NO and CO<sub>2</sub> emissions is the vibrational-rotational (v &#x3d; 1 to v &#x3d; 0) transition resulting due to the inelastic collision with atomic oxygen density (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>; <xref ref-type="bibr" rid="B31">Mlynczak et al., 2010</xref>). During daytime, the solar x-ray and extreme ultraviolet dictate the production of nitric oxide. In the high latitude, the ionization/dissociation of molecular nitrogen due to Joule heating and energetic particle precipitation create nitric oxide. Above 140&#xa0;km, the nitric oxide is formed due to the temperature dependent reaction between the atomic nitrogen and molecular oxygen (<xref ref-type="bibr" rid="B54">Barth et al., 1988</xref>; <xref ref-type="bibr" rid="B7">Barth and Bailey., 2004</xref>; <xref ref-type="bibr" rid="B8">Barth, 2009</xref>; <xref ref-type="bibr" rid="B45">Solomon et al., 1999</xref>). Consequently, the nitric oxide emission depends on the densities of nitric oxide, atomic oxygen and the thermospheric temperature (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>). On the other hand, CO<sub>2</sub> is primarily of the anthropogenic origin (<xref ref-type="bibr" rid="B31">Mlynczak et al., 2010</xref>).</p>
<p>
<xref ref-type="bibr" rid="B10">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2014</xref> studied the response of thermospheric density by using CHAMP (Challenging Minisatellite Payload) satellite during both the ICME- and CIR-driven geomagnetic storms and showed that the total changes in thermospheric density and satellite orbit decays during the CIR-storms are much larger than those during the CME-storms. Similarly, the response of the thermospheric density and ionospheric, during CIR- and CME-storms, is separately studied by using space borne observations (<xref ref-type="bibr" rid="B26">Lei et al., 2011</xref>; <xref ref-type="bibr" rid="B12">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B25">Krauss et al., 2015</xref>; <xref ref-type="bibr" rid="B36">Oliveira et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Oliveira et al., 2020</xref>). On the other hand, the response of thermospheric heating and cooling time was studied by <xref ref-type="bibr" rid="B53">Zesta and Oliveira, (2019)</xref> for the geomagnetic storms of different strengths by using data from CHAMP and GRACE. It is found that the more intense the storm, the shorter the heating and cooling times. They also attributed such cooling effects to the high production of NO molecules that in turn play a major role in cooling the thermosphere. However, they neither differentiated the storms in terms of their origin nor studied the thermospheric cooling due to the Nitric Oxide emission. Further, <xref ref-type="bibr" rid="B22">Knipp et al. (2013)</xref> showed that the solar wind density enhancements and pressure pulses can lead to intense low-energy particle precipitation which affects the production of thermospheric NO emission. In addition to this, the study of <xref ref-type="bibr" rid="B23">Knipp et al. (2017)</xref> statistically showed the impact of shock-led storms on NO emission which are associated to ICME-driven geomagnetic storms. They concluded that the shock-led ICME-driven storms are prone to early and excessive thermospheric NO production and IR emissions and can lead to the process of thermospheric overcooling phenomenon. It is because the interplanetary shock-led ICME-driven storms can increase the precipitating particles, that dictate the thermospheric NO density production, by more than double. It, in turns, enhances the NO emissions by more than double. <xref ref-type="bibr" rid="B28">Lin et al. (2019)</xref> investigated the role of electron and ion precipitation on NO cooling during ICME-driven geomagnetic storms and showed that electrons play a dominant role in enhancing the NO cooling production. However, to the best of our knowledge there is no study that shows the relative difference between the ICME- and CIR-driven storms on the response of the NO and CO<sub>2</sub> cooling emissions.</p>
<p>In the present study, we address the following few unanswered questions related to the NO and CO<sub>2</sub> cooling emissions during ICME and CIR-driven geomagnetic storms: 1) Are there any differences in these cooling fluxes in terms of their magnitude and duration? 2) How do the precipitation of the energetic electrons and ions affect the cooling fluxes for both the solar events? 3) Which energy band of electrons and ions is more efficient in impacting the cooling fluxes? and 4) which coupling function (Akasofu or Newell) is the better one to explain the changes in these cooling fluxes? In order to answer these questions, we performed detailed cross-correlation and superposed epoch analysis study to 10 ICME- and 10 CIR-driven storms by using data from the SABER observations onboard the TIMED, DMSP, and GRACE satellites. These results may help thermospheric modelers and satellite drag forecasters as an input to predict the satellite drag during storms of different solar origin.</p>
</sec>
<sec id="s2">
<title>2 Data acquisition and analysis</title>
<p>The infrared radiative emissions by NO and CO<sub>2</sub> are two dominating thermospheric coolants. They effectively regulate the thermospheric temperature due to the conversion of kinetic energy into radiative energy that exits the thermosphere (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>). In order to investigate the response of these radiative emissions to the solar wind energy input into the magnetosphere during CME and CIR storms, the cooling emissions from SABER (Sounding of the Atmosphere using Broadband Emission Radiometry) observations onboard the TIMED (Thermosphere ionosphere Mesosphere Energetics Dynamics) satellite are utilized. We selected 20 storms (10 CME and 10 CIR storms) those are not associated with any storm within at least 3&#xa0;days prior-to and 5&#xa0;days ahead of the onset. A superposed epoch analysis is employed with zero epoch time corresponding to the onset time of main phase. The list of the storm events selected for investigation are listed in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>List of storms used in the present study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="left">ICME-driven storms</th>
</tr>
<tr>
<th align="left">Sl. No</th>
<th align="left">Event (DOY, Year)</th>
<th align="left">Main Phase(DOY: UT)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1.</td>
<td align="left">226&#x2010;236, 2003</td>
<td align="left">229:14</td>
</tr>
<tr>
<td align="left">2.</td>
<td align="left">320&#x2010;330, 2003</td>
<td align="left">323:22</td>
</tr>
<tr>
<td align="left">3.</td>
<td align="left">345&#x2010;355, 2006</td>
<td align="left">348:14</td>
</tr>
<tr>
<td align="left">4.</td>
<td align="left">214&#x2010;224, 2011</td>
<td align="left">217:19</td>
</tr>
<tr>
<td align="left">5.</td>
<td align="left">165&#x2010;175, 2012</td>
<td align="left">168:22</td>
</tr>
<tr>
<td align="left">6.</td>
<td align="left">193&#x2010;203, 2012</td>
<td align="left">196:18</td>
</tr>
<tr>
<td align="left">7.</td>
<td align="left">73&#x2010;83, 2013</td>
<td align="left">76:06</td>
</tr>
<tr>
<td align="left">8.</td>
<td align="left">148&#x2010;158, 2013</td>
<td align="left">151:17</td>
</tr>
<tr>
<td align="left">9.</td>
<td align="left">73&#x2010;83, 2015</td>
<td align="left">76:05</td>
</tr>
<tr>
<td align="left">10.</td>
<td align="left">350&#x2010;360, 2015</td>
<td align="left">353:22</td>
</tr>
<tr>
<td colspan="3" align="left">CIR-driven Storms</td>
</tr>
<tr>
<td align="left">1.</td>
<td align="left">74&#x2010;84, 2006</td>
<td align="left">77:04</td>
</tr>
<tr>
<td align="left">2.</td>
<td align="left">154&#x2010;164, 2006</td>
<td align="left">157:06</td>
</tr>
<tr>
<td align="left">3.</td>
<td align="left">216&#x2010;226, 2006</td>
<td align="left">219:01</td>
</tr>
<tr>
<td align="left">4.</td>
<td align="left">310&#x2010;320, 2006</td>
<td align="left">313:17</td>
</tr>
<tr>
<td align="left">5.</td>
<td align="left">26&#x2010;36, 2007</td>
<td align="left">29:08</td>
</tr>
<tr>
<td align="left">6.</td>
<td align="left">198&#x2010;208, 2007</td>
<td align="left">201:07</td>
</tr>
<tr>
<td align="left">7.</td>
<td align="left">83&#x2010;93, 2008</td>
<td align="left">86:09</td>
</tr>
<tr>
<td align="left">8.</td>
<td align="left">119&#x2010;129, 2010</td>
<td align="left">122:08</td>
</tr>
<tr>
<td align="left">9.</td>
<td align="left">163&#x2010;173, 2010</td>
<td align="left">166:08</td>
</tr>
<tr>
<td align="left">10.</td>
<td align="left">32&#x2010;42, 2011</td>
<td align="left">35:16</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The TIMED satellite was launched in December 2001 and is still in operation. SABER, a limb sounder, is one of the four instruments onboard (<xref ref-type="bibr" rid="B52">Yee et al., 2003</xref>). It continuously provides the infrared radiance (W.m<sup>&#x2212;2</sup>. sr<sup>&#x2212;1</sup>) in ten distinct spectral channels by scanning Earth&#x2019;s atmosphere from 400&#xa0;km to surface and back with a vertical resolution of about 0.4&#xa0;km. SABER covers Earth asymmetrically from about 83&#xb0; latitude in one hemisphere to 53&#xb0; latitude in other hemisphere because of its anti-sunward view. This hemispheric coverage changes every 60&#x2013;65&#xa0;days corresponding to the TIMED yaw period. The SABER completes 24-h local-time coverage within this period. The SABER observations of the infrared radiance include NO 5.3&#xa0;&#xb5;m and CO<sub>2</sub> 15&#xa0;&#xb5;m radiative emissions.</p>
<p>The Nitric Oxide emission is in the weak-line limit of radiative transfer unlike CO<sub>2</sub> (<xref ref-type="bibr" rid="B31">Mlynczak et al., 2010</xref>). Consequently, an Abel inversion technique is applied to the radiance to get volume emission rate (W.m<sup>&#x2212;3</sup>) of NO. The calculation of CO<sub>2</sub> radiative cooling emission is different from that of NO emission. A non-local thermodynamic equilibrium condition is assumed to calculate CO<sub>2</sub> radiative cooling rate in Kelvin per day (K/day) by applying the Curtis Matrix approach to the SABER non-LTE modelling and temperature (<xref ref-type="bibr" rid="B31">Mlynczak et al., 2010</xref>; <xref ref-type="bibr" rid="B19">Hunt et al., 2011</xref>). The first law of thermodynamics is then used to calculate the vertical CO<sub>2</sub> cooling emission rate (W.m<sup>&#x2212;3</sup>). The NO volume emission rate in the altitude of 100&#x2013;250&#xa0;km and CO<sub>2</sub> volume emission rate in the altitude of 100&#x2013;140&#xa0;km are vertically integrated to get respective cooling flux (W.m<sup>&#x2212;2</sup>) (<xref ref-type="bibr" rid="B29">Mertens et al. 2009</xref>; <xref ref-type="bibr" rid="B31">Mlynczak et al, 2010</xref>; <xref ref-type="bibr" rid="B19">Hunt et al., 2011</xref>). The accuracy of the estimated cooling rates due to NO and CO<sub>2</sub> is better than 15% (<xref ref-type="bibr" rid="B31">Mlynczak et al., 2010</xref>). In the present study, we use the processed NO and CO<sub>2</sub> cooling flux data (Dataset Version: V 1.0, SABER Data Version 2.0) obtained from the TIMED-SABER satellite (<ext-link ext-link-type="uri" xlink:href="https://saber.gats-inc.com/data.php">https://saber.gats-inc.com/data.php</ext-link>) binned into 1-h average.</p>
<p>GRACE (Gravity Recovery and Climate Experiment)-A and GRACE-B, two identical 3-axis stabilized satellites, were launched in March 2002 to a near circular orbit at 500&#xa0;km at an inclination of 89.5&#xb0;. The two satellites, along-track, are separated by about 220&#xa0;km. Each satellite carried inter-satellite ranging system, Global Positioning system (GPS) receiver, attitude sensor and accelerometer (<xref ref-type="bibr" rid="B47">Tapley et al., 2004</xref>). The accelerometer has precision of about 10<sup>&#x2212;11</sup>g. The mass density from GRACE-A and GRACE-B are similar. We have used the GRACE-A accelerometer data normalized, using NRLMSISE-00 model, to 400&#xa0;km (<xref ref-type="bibr" rid="B46">Sutton et al., 2007</xref>). The normalized GRACE data are obtained from the University of Colorado Boulder&#x2019;s Space Weather Data Portal (<ext-link ext-link-type="uri" xlink:href="https://lasp.colorado.edu/space-weather-portal/home">https://lasp.colorado.edu/space-weather-portal/home</ext-link>).</p>
<p>The particle precipitation plays important roles in the production of NO, particularly in the high latitude (<xref ref-type="bibr" rid="B54">Barth et al., 1988</xref>; <xref ref-type="bibr" rid="B7">Barth and Bailey., 2004</xref>; <xref ref-type="bibr" rid="B8">Barth, 2009</xref>; <xref ref-type="bibr" rid="B45">Solomon et al., 1999</xref>
<underline>)</underline>. In order to study the effect of energetic particle precipitation on NO cooling flux, the electron and ion particle flux data are obtained from the Defense Meteorological Satellite Program (DMSP) F15, F16, and F17 satellites <italic>via</italic> the Madrigal database (<ext-link ext-link-type="uri" xlink:href="http://cedar.openmadrigal.org/index.html">http://cedar.openmadrigal.org/index.html</ext-link>). The DMSP spacecraft fly in nearly circular, polar orbit at 850&#xa0;km with orbital period of about 100&#xa0;min (<xref ref-type="bibr" rid="B39">Rich et al., 1985</xref>). It has low energy particle detectors onboard (SSJ/4). The low energy particle detector sensor measures the auroral precipitating particle in 20 energy channels in the energy range of 30&#xa0;eV to 30&#xa0;keV each second with pitch angle in the loss cone. We have divided the electron flux into three categories; low (0.03&#x2013;0.949&#xa0;keV), mid (0.949&#x2013;9.45&#xa0;keV) and high (9.45&#x2013;30&#xa0;keV) electron flux. Similarly, the ion flux has been divided into mid (0.949&#x2013;9.45&#xa0;keV) and high (9.45&#x2013;30&#xa0;keV) flux categories.</p>
<p>The southward component of interplanetary magnetic field (IMF) plays crucial roles in efficiently transferring solar wind energy into the magnetosphere. It proceeds <italic>via</italic> the process of magnetic reconnection at magnetopause region during daytime (<xref ref-type="bibr" rid="B24">Koskinen and Eija, 2002</xref>). The transfer of the solar wind energy into M-I system is represented by the coupling functions. We used the Akasofu [Epsilon (&#x3b5;)] and the Newell coupling functions as the representations of energy transfer in the present study (<xref ref-type="bibr" rid="B2">Akasofu., 1981</xref>; <xref ref-type="bibr" rid="B34">Newell et al., 2007</xref>). The Epsilon parameter is given as (in SI unit); <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="bold">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">W</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">4</mml:mn>
<mml:mi mathvariant="bold-italic">&#x3c0;</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3bc;</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
</mml:msub>
</mml:mfrac>
<mml:mi mathvariant="bold-italic">v</mml:mi>
<mml:msup>
<mml:mi mathvariant="bold-italic">B</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msup>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:msup>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold">&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, where v &#x3d; solar wind speed, B is the magnetic field intensity; <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="bold">&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the clock-angle of IMF perpendicular to Sun-Earth line, the scaling factor lo &#x3d; 7Re, Re &#x3d; radius of Earth and <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mn mathvariant="bold">4</mml:mn>
<mml:mi mathvariant="bold">&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">&#x3bc;</mml:mi>
<mml:mi mathvariant="bold">o</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mn mathvariant="bold">7</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B38">Perreault and Akasofu, 1978</xref>; <xref ref-type="bibr" rid="B1">Akasofu, 1979</xref>; <xref ref-type="bibr" rid="B2">Akasofu., 1981</xref>). The Newell coupling function is derived from a number of indices used for understanding the magnetospheric activity (<xref ref-type="bibr" rid="B34">Newell et al., 2007</xref>). It is represented as the rate of magnetic flux opened at the magnetopause; <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold">&#x3a6;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">v</mml:mi>
<mml:mrow>
<mml:mn mathvariant="bold">4</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">B</mml:mi>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:msup>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mrow>
<mml:mn mathvariant="bold">8</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">&#x3b8;</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, where v is the solar wind velocity, B<sub>T</sub> is the interplanetary magnetic field, <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">&#x3b8;</mml:mi>
<mml:mi mathvariant="bold">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the clock-angle. In the present study, the Epsilon and Newell coupling function data with 1-min time resolutions are obtained from the SuperMAG database (<ext-link ext-link-type="uri" xlink:href="https://supermag.jhuapl.edu/">https://supermag.jhuapl.edu/</ext-link>, last access: 7 June 2022; <xref ref-type="bibr" rid="B18">Gjerloev, 2012</xref>). In addition, the Z-component of the interplanetary magnetic field (IMF Bz) and ring current index (Dst index and Sym-H index) are obtained from OMNIweb (<ext-link ext-link-type="uri" xlink:href="https://omniweb.gsfc.nasa.gov/">https://omniweb.gsfc.nasa.gov/</ext-link>).</p>
</sec>
<sec id="s3">
<title>3 Results and observations</title>
<p>
<xref ref-type="fig" rid="F1">Figure 1</xref> shows a typical case of ICME (left) and CIR-driven (right) storms, respectively, during 16&#x2013;26 November 2003 and April 29-9 May 2010. Left panel of <xref ref-type="fig" rid="F1">Figure 1</xref> shows the temporal variations of (a) IMF Bz, (b) Dst- and SYM-H indices, (c) GRACE-A thermospheric density, (d) GRACE-A thermospheric density at 400&#xa0;km, (e) SABER- CO<sub>2</sub> flux and (f) SABER- NO flux for ICME-driven storm during November 16&#x2013;26, 2003. Similarly, the right panel of <xref ref-type="fig" rid="F1">Figure 1</xref> shows the temporal variation of same parameters for the CIR-driven storm during April 29-09 May 2010. The main phase of the ICME-driven storm started around 0824UT lasted for about 12&#xa0;h before reaching the minimum Dst value of &#x2212;422&#xa0;nT at around 21 UT on 20 November 2003. The thermospheric density undergoes a huge enhancement (&#x3e;500%) during storm period (<xref ref-type="fig" rid="F1">Figures 1C, D</xref>). The CO<sub>2</sub> and NO radiative emissions also undergo similar strong variations with relatively slower response time than the thermospheric density (<xref ref-type="fig" rid="F1">Figures 1E, F</xref>). The CIR-storm during April 29-9 May 2010 started at around 08 UT on May 02 and the main phase lasted for less than 12&#xa0;h before reaching the minimum Dst (&#x2212;71&#xa0;nT) at 19 UT on the same day. The density and cooling fluxes showed remarkable enhancements during the storm period. However, the relative increase in the magnitudes of the thermospheric density, CO<sub>2</sub> and NO fluxes are found to be lesser as compared to CME storm. It is to be noted that the thermospheric density presented here is only to show that the thermospheric density also exhibits different temporal response during ICME- and CIR-driven storms. In the present investigation, the variation of thermospheric density has not been given much attention. More detailed study on the variation of the thermospheric density has been reported by (<xref ref-type="bibr" rid="B10">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2014</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Temporal variations of <bold>(A)</bold> IMF Bz, <bold>(B)</bold> Dst and SYM-H-indices, <bold>(C)</bold> GRACE-A thermospheric density, <bold>(D)</bold> GRACE-A thermospheric density at 400&#xa0;km, <bold>(E)</bold>SABER CO<sub>2</sub> flux and <bold>(F) </bold>SABER NO flux during CME-storm of November 16&#x2013;26, 2003. <bold>(A1&#x2013;F1)</bold> Same for CIR-storm during April 29-09 May 2010.</p>
</caption>
<graphic xlink:href="fspas-10-1107605-g001.tif"/>
</fig>
<p>In order to understand the average trend of the thermospheric cooling and its response to energy input, we performed a superposed epoch analysis (SEA) study with zero epoch time corresponding to the storm&#x2019;s main phase. The SEA of the CME- and CIR-storms are, respectively, depicted in <xref ref-type="fig" rid="F2">Figures 2A&#x2013;E, A1-E1</xref>. The horizontal dotted lines represent the pre-onset value. It can clearly see that as the storm intensifies, the thermospheric density also increases both during the CME- and CIR-storms (<xref ref-type="fig" rid="F2">Figures 2C, C1</xref>). The maximum density enhancement occurs within a day of onset, similar to the previous reported results (<xref ref-type="bibr" rid="B26">Lei et al., 2011</xref>; <xref ref-type="bibr" rid="B10">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2104</xref>; <xref ref-type="bibr" rid="B36">Oliveira et al., 2017</xref>). The density during CIR-storm peaks earlier but lasts longer than the CME-storms. <xref ref-type="bibr" rid="B25">Krauss et al. (2015)</xref> reported a factor of eight increase in the thermospheric density during ICME-storms as compared to pre-event period. Similar variation is also noticed in the thermospheric cooling emissions (<xref ref-type="fig" rid="F2">Figures 2E, F, E1&#x2013;F1</xref>). A stronger (slower) enhancement with faster (slower) recovery is observed in the CO<sub>2</sub> and NO cooling fluxes during CME (CIR) storms. The peak values of the NO and CO<sub>2</sub> cooling fluxes are 2.0&#xa0;mW&#xa0;m<sup>&#x2212;2</sup> and 1.23&#xa0;mW&#xa0;m<sup>&#x2212;2</sup> during CME-storm. Whereas, they are 1.5&#xa0;mW&#xa0;m<sup>&#x2212;2</sup> and 0.28&#xa0;mW&#xa0;m<sup>&#x2212;2</sup> for CIR-storm, respectively. This indicates that the impact of the ICME-driven storms is much more than the CIR-driven storms as far as the magnitude is concerned. However, it is interesting to note here that the cooling fluxes take more time (&#x3e;6&#x2013;7&#xa0;days) to recover during CIR-driven storms, whereas, the recovery rate is faster (&#x223c;3&#x2013;4&#xa0;days) for ICME-driven storms.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Superposed Epoch Analysis for (left) CME and (Right) CIR storms. <bold>(A)</bold> IMF Bz, <bold>(B)</bold> Dst- and SYM-H indices, <bold>(C)</bold> GRACE thermospheric density at 400&#xa0;km, <bold>(D)</bold>SABER CO<sub>2</sub> flux and <bold>(E)</bold> SABER NO cooling flux during CME storm. <bold>(A1&#x2013;E1)</bold> Same for CIR-storms. All data are binned into 1&#xa0;h average. Vertical red lines mark the time of main phase. The horizontal dotted lines represent the pre-event value.</p>
</caption>
<graphic xlink:href="fspas-10-1107605-g002.tif"/>
</fig>
<p>In order to understand the impact of the energetic particle precipitations and the energy input from magnetosphere on the thermospheric cooling emission, <xref ref-type="fig" rid="F3">Figure 3</xref> is presented. <xref ref-type="fig" rid="F3">Figures 3A&#x2013;F, A1&#x2013;F1</xref>, respectively, show the DMSP measured electron flux, ion flux along with the Epsilon (&#x3b5;) and Newell coupling functions (CF) during CME- and CIR-storms. It can be seen that the particle (electron and ion) fluxes and the coupling functions show strong enhancement during both the storm periods. The enhancement in the particle fluxes and the CFs during CME-storm is higher than the CIR-storm. The &#x3b5;-parameter shows higher enhancement as compared to the Newell&#x2019;s. The relative enhancement in &#x3b5;-parameter is more than 50% and 30% during CME- and CIR-storm, respectively, as compared to the quiet value. Whereas, the Newell&#x2019;s CF undergoes enhancement of about 7% and 5%, respectively. The ion flux returns to pre-event level within 2&#xa0;days post peak enhancement. However, the electron flux (particularly the mid and high) remains elevated for many days. Further, it is interesting to note that the enhancement in electron fluxes (mid and high) during CIR-storm sustain longer than the CME-storm.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Superposed Epoch for (left) CME and (Right) CIR storms. <bold>(A&#x2013;C)</bold> DMSP electron flux, <bold>(D)</bold> DMSP ion flux, <bold>(E)</bold> Akasofu coupling function and <bold>(F)</bold> Newell coupling function during CME storms. <bold>(A1&#x2013;F1)</bold> Same for CIR storms.</p>
</caption>
<graphic xlink:href="fspas-10-1107605-g003.tif"/>
</fig>
<p>In order to understand the inter-relationship between the cooling flux and other parameters (IMF Bz, Dst index, coupling functions, the particle flux and thermospheric density) during ICME- and CIR-driven storms, we performed a detailed cross-correlation analyses as a function of timelag and are shown in <xref ref-type="fig" rid="F4">Figures 4A&#x2013;J</xref>. It is important to mention here that the correlation analysis is carried out only for NO cooling flux and not with CO<sub>2</sub> cooling flux as the CO<sub>2</sub> is of anthropogenic origin. The impact of the space weather events on the CO<sub>2</sub> cooling flux, in terms of particle precipitation, is yet to be well established. The normalized cross-correlation coefficients (r) for NO cooling flux with other parameters are provided in <xref ref-type="table" rid="T2">Table 2</xref>. The NO cooling flux exhibits a strong anti-correlation with Dst index during CME- and CIR-events. A strong negative correlation (r &#x3d; &#x2212;0.57) is also noticed between the NO cooling flux and IMF Bz during CME-event. However, no significant correlation is observed during the CIR-storm. The Akasofu-CF exhibits a relatively stronger correlation during CME-events (r &#x3d; 0.92) as compared to the CIR-storms (r &#x3d; 0.76). The Newell CF has higher normalized cross-correlation (r &#x3d; 0.92) during CIR-storm than the CME-storm (r &#x3d; 0.9) with the thermospheric cooling (<xref ref-type="fig" rid="F4">Figures 4C, D</xref>). A timelag of about 9&#xa0;h is observed between the NO cooling flux and both coupling functions during CME-storms. Whereas, it displays different timelag with Akasofu and Newell-CF during CIR-storms. The timelag is about 14&#xa0;h for Akasofu, whereas, it is about 9&#xa0;h for Newell-CF. Almost an identical behavior is observed with the cross-correlation between NO cooling flux and electron fluxes of lower energy range (0.03&#x2013;0.949&#xa0;keV). However, a timelag about 13&#xa0;h is observed between NO cooling flux and lower electron energy flux during both CME and CIR storms. It is about 5&#xa0;h longer than the timelag between the NO cooling flux, and mid-electron and high-electron flux. Similarly, about 15&#xa0;h of timelag is noticed between the NO cooling flux and ion particle flux of mid and high energy range during CIR-storms as compared to the CME-storms. It is interesting to note here that the correlation coefficient significantly increases for mid and high-electron fluxes during CIR events. The NO cooling flux is also found to have a strong correlation with the thermospheric density at 400&#xa0;km both during CME (r &#x3d; 0.86) and CIR (r &#x3d; 0.95) storms. As far as the correlation with ion flux is concerned, the correlation coefficients are much higher for CIR-driven storms. Therefore, it is important to note that the particle flux (both electron and ion) of higher energy range is strongly correlated with the NO cooling flux during CIR events. It is to be noted that the cross-correlation coefficient between cooling fluxes and particle fluxes is maximum with a time lag of 8&#x2013;15&#xa0;h. This indicates a distinct delayed response between NO cooling flux and particle precipitation for both the storm events as compared to other parameters.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Cross-correlation between NO Cooling flux and other parameters. Solid black and red colors, respectively, represent the CIR-storm and CME-storm. Cross-correlation between cooling fluxes and <bold>(A)</bold> IMF Bz, <bold>(B)</bold> Dst-Index, <bold>(C)</bold> Akasofu CF, <bold>(D)</bold> Newell CF, <bold>(E)</bold> Low electron flux (0.03&#x2013;0.949&#xa0;keV), <bold>(F)</bold> mid electron flux (0.949&#x2013;9.45&#xa0;keV) <bold>(G)</bold> high electron flux (9.45&#x2013;30&#xa0;keV), <bold>(H)</bold> mid ion flux (0.949&#x2013;9.45&#xa0;keV), <bold>(I)</bold> high ion flux (9.45&#x2013;30&#xa0;keV) and <bold>(J)</bold> GRACE-thermospheric density at 400&#xa0;km.</p>
</caption>
<graphic xlink:href="fspas-10-1107605-g004.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Normalized correlation coefficient between NO cooling flux and other parameters during CME-and CIR-storms.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Bz</th>
<th align="left">Dst</th>
<th align="left">Akasofu</th>
<th align="left">Newell</th>
<th align="left">[e] Low (0.03-0.95&#xa0;keV)</th>
<th align="left">[e] Mid (0.949-9.45&#xa0;keV)</th>
<th align="left">[e] High (9.45-30&#xa0;keV)</th>
<th align="left">[Ion] Mid (0.949-9.45&#xa0;keV)</th>
<th align="left">[ion] High (9.45-30&#xa0;keV)</th>
<th align="left">Density at 400&#xa0;km</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">CME</td>
<td align="left">&#x2212;0.57</td>
<td align="left">&#x2212;0.85</td>
<td align="left">0.92</td>
<td align="left">0.90</td>
<td align="left">0.81</td>
<td align="left">0.67</td>
<td align="left">0.24</td>
<td align="left">0.26</td>
<td align="left">0.22</td>
<td align="left">0.86</td>
</tr>
<tr>
<td align="left">CIR</td>
<td align="left">&#x2212;0.34</td>
<td align="left">&#x2212;0.91</td>
<td align="left">0.76</td>
<td align="left">0.92</td>
<td align="left">0.68</td>
<td align="left">0.83</td>
<td align="left">0.82</td>
<td align="left">0.65</td>
<td align="left">0.72</td>
<td align="left">0.95</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4">
<title>4 Interpretation and discussion</title>
<p>The NO and CO<sub>2</sub> radiative cooling emissions strongly react to the energy deposition into M-I system during space weather events (<xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>; <xref ref-type="bibr" rid="B22">Knipp et al., 2013</xref>; <xref ref-type="bibr" rid="B23">Knipp et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Bag 2018</xref>; <xref ref-type="bibr" rid="B4">Bag et al., 2021</xref>). It is due to their strong dependence on the abundance of NO (CO<sub>2</sub>), atomic oxygen and kinetic temperature (<xref ref-type="bibr" rid="B13">Houghton, 1970</xref>; <xref ref-type="bibr" rid="B20">Kockarts, 1980</xref>; <xref ref-type="bibr" rid="B30">Mlynczak et al., 2003</xref>). Between the two, NO cooling is more susceptible to the external energy deposition. However, the CO<sub>2</sub> cooling can be dominating during the solar minimum period (<xref ref-type="bibr" rid="B33">Mlynczak et al., 2016</xref>). In the present investigation, it is found that the CO<sub>2</sub> cooling flux undergoes, respectively, about 40% and 25% increment during CME- and CIR-storms. Although it is observed that CO<sub>2</sub> cooling flux is strongly affected by the ICME- and CIR-driven storms, the mechanisms with respect to the external energy deposition and particle flux are not well established.</p>
<p>The CME-storms are impulsive and drive stronger ring current due to steady southward IMF Bz. The CIR-storms drive less intense ring current but last for several days (<xref ref-type="bibr" rid="B49">Tsurutani et al., 2006</xref>; <xref ref-type="bibr" rid="B9">Borovsky and Denton, 2006</xref>). As a result, the thermospheric density returns to pre-onset value after 2&#x2013;3&#xa0;days of storm&#x2019;s main phase in case of ICME-driven storm. On the other hand, it takes about 5&#x2013;6&#xa0;days for density to return to pre-event, owing to the longer energy deposition, during CIR storm (<xref ref-type="fig" rid="F1">Figure 1C1</xref>). <xref ref-type="bibr" rid="B10">Chen et al. (2012)</xref> have found that the CIR storms can have same or even greater effects on the thermospheric density than the CME-storms due to the result of the energy deposition in longer time scales. The NO cooling flux undergoes about six times and three times increment, respectively, during CME- and CIR-storms. The cooling emissions strongly dictate the thermospheric density during geomagnetic storms. The different response of the thermospheric density to the CME- and CIR-storms could be due to the impacts of the CO<sub>2</sub> and NO emissions.</p>
<p>Earlier studies suggest that the lower energy electrons (&#x3c;1&#xa0;keV) have stronger impacts on the thermospheric cooling and intravenously contribute to the upliftment of atmospheric density (<xref ref-type="bibr" rid="B22">Knipp et el., 2013</xref>; <xref ref-type="bibr" rid="B28">Lin et al., 2019</xref>). A strong correspondence between the cooling and electron flux is also found during storm events. The electron flux during CME-storm shows a sudden, higher enhancement and a quick recovery as compared to the CIR events similar to the thermospheric cooling flux (<xref ref-type="fig" rid="F3">Figures 3A&#x2013;C, A1&#x2013;C1</xref>). It could be due to different magnitude and temporal scales of energy deposition (Knipp et el.,2013). The coupling functions also have similar behavior during storm events (<xref ref-type="fig" rid="F3">Figures 3D, E, D1, E1</xref>). <xref ref-type="bibr" rid="B28">Lin et al. (2019)</xref> have reported that the enhancement in the NO cooling is dominated by electron flux of 1.4&#x2013;30&#xa0;keV during particle precipitation events. The NO molecule is created due to the dissociation of N<sub>2</sub> by auroral electrons with energies between 1 and 10&#xa0;keV (<xref ref-type="bibr" rid="B6">Barth et al., 2003</xref>). The electrons of 1&#xa0;keV produce NO density in the altitude above 120&#xa0;km whereas that of 1.4&#x2013;4.6&#xa0;keV affect 100&#x2013;110&#xa0;km altitude (<xref ref-type="bibr" rid="B5">Bailey et al., 2002</xref>; <xref ref-type="bibr" rid="B40">Richards, 2004</xref>). The ion also significantly contributes to the cooling flux. The electron (ion) of 0.1 keV and 10&#xa0;keV can reach, respectively, the altitude of 230 (170) km and 105 (120) km (<xref ref-type="bibr" rid="B16">Fang et al., 2010</xref>; <xref ref-type="bibr" rid="B15">Fang et al., 2013</xref>). The ion flux of 1&#x2013;20&#xa0;keV can lead to the NO production by &#x3e;50% particularly during night (<xref ref-type="bibr" rid="B17">Galand et al., 1999</xref>).</p>
<p>The particles strongly react to the external energy input (<xref ref-type="bibr" rid="B28">Lin et al., 2019</xref>). The energy deposited into the M-I system can immediately be evident in the magnetospheric/ionospheric parameter, particle flux and coupling functions. Whereas, the cooling flux takes a little longer for the atmosphere to heat and subsequently the cooling mechanism to proceed. It will lead to a positive timelag between the cooling flux and other parameters such as IMF Bz, coupling function, particle flux and thermospheric density (<xref ref-type="fig" rid="F4">Figure 4</xref>). <xref ref-type="bibr" rid="B48">Turner et al. (2009)</xref> have shown that CIR-driven storms deposit more energy into the ionosphere through Joule and particle heating and the CME-storms dissipate more energy into the ring current. In addition, the magnetospheric electron flux precipitates on the Earth&#x2019;s high latitude ionosphere causing considerably high Joule heating (<xref ref-type="bibr" rid="B21">Knipp et al., 2011</xref>; <xref ref-type="bibr" rid="B14">Deng et al., 2011</xref>; <xref ref-type="bibr" rid="B50">Verkhoglyadova et al., 2015</xref>). It is observed from the <xref ref-type="fig" rid="F3">Figure 3</xref> that there is an enhancement of low, mid and high-energy electron and ion precipitations into the upper atmosphere as measured by the DMSP spacecraft at the onset of storm. The enhancement of particle flux is found to be short-lived in case of CME. Whereas, it remains elevated for a sustained period of time during CIR-storm. Therefore, a stronger correlation is expected between cooling flux and particle flux during CIR-driven storms (<xref ref-type="fig" rid="F4">Figure 4</xref>). Further, <xref ref-type="bibr" rid="B28">Lin et al. (2019)</xref> have reported that the NO cooling due to the proton is about 1/4th of the total cooling and about 30% of cooling due to electron precipitation. Relatively longer timelag during CIR-storm could be attributed to the relatively longer-time deposition of energy (<xref ref-type="fig" rid="F4">Figures 4E&#x2013;I</xref>). Further, the ion flux reacts faster than cooling flux to the energy input during CME storms; resulting in a shorter timelag (<xref ref-type="fig" rid="F4">Figures 4H, I</xref>). A clear and distinct variations in the particle flux, solar wind-magnetosphere coupling functions are observed during the CME- and CIR-storms. It is evident that the different temporal and magnitude of cooling and subsequent thermospheric density could be due to the impacts of the particle flux. Further, the decay rates of the satellite orbits, during the CME storms, are larger due to large amount of energy input in short duration. The CIR storms last longer and affect the orbit for longer time resulting in the larger satellite orbital decays as compared to the CME-storms (<xref ref-type="bibr" rid="B10">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2014</xref>). Similar result is also reported by <xref ref-type="bibr" rid="B37">Oliveira et al. (2020)</xref> during historical geomagnetic storms. Their study shows that the long-lived, week superstorm can be more detrimental to the LEO satellite as compared to the short-lived, intense superstorms. Non-etheless, more investigations are needed to understand the relative roles of electron and ion particle flux in the production of NO emission. The response of the CO<sub>2</sub> cooling during geomagnetic storm is not well explored. It, along with NO, can have significant impacts on the thermospheric density variability. The distinctive temporal response of the thermospheric cooling could be utilized to model the thermospheric density forecast, and consequently the LEO satellite&#x2019;s orbital prediction and lifetime estimation.</p>
</sec>
<sec id="s5">
<title>5 Summary</title>
<p>We performed superposed epoch analysis and detailed cross-correlation study to investigate the response of CO<sub>2</sub> 15&#xa0;&#x3bc;m and NO 5.3&#xa0;&#x3bc;m cooling emissions during ICME- and CIR-driven storms by utilizing the data from TIMED-SABER satellite along with other datasets. The silent features emerged from this investigation are as follows: (I) The thermospheric cooling fluxes undergo quick and strong enhancement with a faster recovery (&#x223c;3&#x2013;4&#xa0;days) during CME storms. Whereas, a slower enhancement and a longer recovery (&#x3e;6&#x2013;7&#xa0;days) is observed during CIR. (II) The Akasofu and Newell coupling functions display different behavior during CME- and CIR-storms. (III) The NO cooling flux during CIR storm shows longer time-lag with all parameters than the CME-event. (IV) The ions (&#x3e;0.945&#xa0;keV) and electrons (&#x3e;9.45&#xa0;keV) display a stronger correlation and higher timelag during CIR storms for NO cooling emission. The different behavior of NO cooling emission during ICME and CIR-driven storms could be due to the impacts of the both proton and electron fluxes.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://saber.gats-inc.com/data.php">https://saber.gats-inc.com/data.php</ext-link>, <ext-link ext-link-type="uri" xlink:href="https://lasp.colorado.edu/space-weather-portal">https://lasp.colorado.edu/space-weather-portal</ext-link>, <ext-link ext-link-type="uri" xlink:href="http://cedar.openmadrigal.org/single">http://cedar.openmadrigal.org/single</ext-link>, <ext-link ext-link-type="uri" xlink:href="https://omniweb.gsfc.nasa.gov/">https://omniweb.gsfc.nasa.gov/</ext-link>, <ext-link ext-link-type="uri" xlink:href="https://supermag.jhuapl.edu">https://supermag.jhuapl.edu</ext-link>.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>TB calculated all relevant data, produced the figures, and wrote parts of the introduction and discussion sections and the majority of the results section. DR worked on epoch calculation and wrote parts of discussion sections and the majority of the introduction. YO and VS reviewed the results, advised on manuscript content, and contributed to the introduction and discussion sections.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>TB is supported by the Japan Society for the Promotion of Science (JSPS) postdoctoral fellowship for research in Japan, grant number: 22F32017. DR acknowledges the support from Humboldt research Fellowship for Postdoctoral Researchers (Humboldt foundation grants PSP D-023-20-001).</p>
</sec>
<ack>
<p>We thank the SABER, GRACE, DMSP, SuperMAG, and OMNI team for providing the data.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<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>
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