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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">1091967</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2023.1091967</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Jupiter radio emission probability tool</article-title>
<alt-title alt-title-type="left-running-head">Cecconi 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.2023.1091967">10.3389/fspas.2023.1091967</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cecconi</surname>
<given-names>B.</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/1204346/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Aicardi</surname>
<given-names>S.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2159242/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lamy</surname>
<given-names>L.</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="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2156812/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>LESIA, Observatoire de Paris-PSL, CNRS, Sorbonne Universit&#x00E9;, Universit&#x00E9; Paris Cit&#xe9;</institution>, <addr-line>Paris</addr-line>, <country>France</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>ORN, Observatoire de Paris-PSL, Universit&#x00E9; d'Orl&#x00E9;ans, CNRS</institution>, <addr-line>Nan&#xe7;ay</addr-line>, <country>France</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>DIO, Observatoire de Paris-PSL, CNRS</institution>, <addr-line>Paris</addr-line>, <country>France</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Aix Marseille Universit&#x00E9;, CNRS, CNES, LAM</institution>, <addr-line>Marseille</addr-line>, <country>France</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/1490937/overview">Angeline G. Burrell</ext-link>, United States Naval Research Laboratory, United States</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/904543/overview">Fabio Lepreti</ext-link>, University of Calabria, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/120839/overview">Nickolay Ivchenko</ext-link>, Royal Institute of Technology, Sweden</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: B. Cecconi, <email>baptiste.cecconi@observatoiredeparis.psl.eu</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>16</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1091967</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Cecconi, Aicardi and Lamy.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Cecconi, Aicardi and Lamy</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>Jupiter is a source of intense radio emissions in the decametric wavelength range observable from ground (above &#x223c;10 MHz) and from space (down to a few kHz). The strong anisotropy of the Jovian radio sources results in characteristic shapes in the temporal-spectral domain, which can be used to identified the various types of Jovian radio components. The <italic>Jupiter Probability Tool</italic> provides users with Jovian radio emission observability predictions, depending on the observers location, and the radio emission class. The application can be used for observation planning or data analysis for ground or space observations.</p>
</abstract>
<kwd-group>
<kwd>jupiter</kwd>
<kwd>radio emissions</kwd>
<kwd>space physics</kwd>
<kwd>online application</kwd>
<kwd>observation planning</kwd>
<kwd>python</kwd>
</kwd-group>
<contract-num rid="cn001">871149</contract-num>
<contract-sponsor id="cn001">H2020 Research Infrastructures<named-content content-type="fundref-id">10.13039/100010666</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Jupiter low frequency radio emissions have been studied since their discovery (<xref ref-type="bibr" rid="B5">Burke and Franklin, 1955</xref>), with ground (from 10 to 40 MHz) and space observatories (down to a few kHz), the ground based observations being limited by the ionospheric cutoff at &#x223c;10 MHz. The Jovian radio spectrum displays several components, which can be identified in dynamic spectra (time series of spectra), thanks to their temporal-spectral arc-shaped characteristic features (see, e.g.: <xref ref-type="bibr" rid="B35">Zarka, 2000</xref>; <xref ref-type="bibr" rid="B36">2007</xref>). Moreover, a subset of Jovian radio components are driven by the interaction between the Jovian magnetic field and the Galilean moons, specifically with the moon Io (<xref ref-type="bibr" rid="B4">Bigg, 1963</xref>), but also with Europa and Ganymede (<xref ref-type="bibr" rid="B23">Louis et al., 2017a</xref>; <xref ref-type="bibr" rid="B33">Zarka et al., 2018a</xref>). The arc-shaped temporal-spectral geometry is a consequence of the radio emission mechanism, which produces a strongly anisotropic beaming pattern. Hence the observer&#x2019;s location is a key parameter for prediction the observability of Jovian radio emissions. Jupiter observation probability maps have been produced with the first published catalogues (see e.g.: <xref ref-type="bibr" rid="B4">Bigg, 1963</xref>; <xref ref-type="bibr" rid="B19">Leblanc et al., 1981</xref>), relating the observer&#x2019;s longitude in the Jovian System III frame (<xref ref-type="bibr" rid="B10">Higgins et al., 1997</xref>) and the phase of Io.</p>
<p>Planning or analysing Jupiter radio observations thus requires to know the observation geometry: observation date, observer&#x2019;s location and phase of the Jovian moons. In this article, we present an online application providing the probability of observing Jovian radio components depending on the observation and Jovian system geometries.</p>
</sec>
<sec id="s2">
<title>2 Use cases and requirements</title>
<p>The first use case is the analysis of a Jupiter low frequency radio observation. As presented in the introduction section, the interpretation of Jupiter radio emission observations requires an detailed knowledge of the geometry of the Jovian system, together with the observer&#x2019;s location. The observation configuration shall be displayed in a two-dimensional diagram with axes being (a) the longitude of the observer (usually in Jupiter system III longitude) also known as &#x201c;Central Meridian Longitude&#x201d; (or CML), and (b) the selected Moon phase with respect to the observer. Such a diagram is referred to as a &#x201c;Phase-CML&#x201d; map. Many Phase-CML maps have been published (see, e.g., <xref ref-type="bibr" rid="B19">Leblanc et al., 1981</xref>; <xref ref-type="bibr" rid="B25">Marques et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Zarka et al., 2018a</xref>). Comparing the selected observation configuration with Phase-CML maps greatly facilitates the Jupiter decametric radio emission observation interpretation. A second critical aspect of the Jovian radio emissions is their shape in the temporal-spectral domain. Comparing the observed shape with predicted ones would also strengthen the scientific interpretation (see, e.g., <xref ref-type="bibr" rid="B24">Louis et al., 2017b</xref>).</p>
<p>The second use case is the preparation of a Jupiter low frequency radio observation. The same geometry configuration display against Phase-CML maps allows to select observation times with higher probability of detecting the studied radio component. Furthermore, in order to prepare a ground based observation, the knowledge of Jupiter&#x2019;s elevation as seen from the observer&#x2019;s location is also required.</p>
<p>A series of design requirements has been derived from the two use cases.<list list-type="simple">
<list-item>
<p>&#x2022; <italic>Time range</italic>: The observation time (or time range) shall be configurable.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Predefined observer</italic>: Space missions with a low frequency instrument (e.g., Cassini, Juno, Wind, STEREO-A, STEREO-B, Galileo...), as well as major ground based low frequency radio observatories (e.g., Long Wavelengths Array, Nan&#xe7;ay Decameter Array...) shall be easily configurable.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Custom ground-based observer</italic>: For ground based observation, it shall be possible to set the location of an observatory (e.g., for radio amateur observatories).</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Jovian Moon Control</italic>: In the recent studies of Jovian radio emissions, Europa and Ganymede controlled radio emissions have been reported (<xref ref-type="bibr" rid="B23">Louis et al., 2017a</xref>; <xref ref-type="bibr" rid="B33">Zarka et al., 2018a</xref>) in addition to the long-studied Io-controlled emissions. Control by Callisto and Amalthea are also mentioned in some publications (<xref ref-type="bibr" rid="B25">Marques et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Zarka et al., 2018a</xref>). The interface shall allow users to select the moon of interest (i.e., Io, Europa, Ganymede, Callisto and Amalthea).</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Phase-CML maps</italic>: The various published probability or occurrence Phase-CML maps shall be available for comparison (<xref ref-type="bibr" rid="B13">Lamy et al., 2022</xref>), which includes Phase-CML maps from <xref ref-type="bibr" rid="B18">Leblanc et al. (1993)</xref>; <xref ref-type="bibr" rid="B23">Louis et al. (2017a)</xref>; <xref ref-type="bibr" rid="B25">Marques et al. (2017)</xref>; <xref ref-type="bibr" rid="B33">Zarka et al. (2018a</xref>,<xref ref-type="bibr" rid="B34">b)</xref>; <xref ref-type="bibr" rid="B12">J&#xe1;come et al. (2022)</xref> at the time of writing.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Observational geometry</italic>: The observational geometry shall be displayed on top of a selected Phase-CML map.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Jupiter elevation</italic>: The elevation of Jupiter shall be displayed on the interface in a way the user can tell if the planet is observable at a given time.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Dynamic Spectra modeling</italic>: An estimated model of the observed Jovian dynamic spectrum shall be available.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s3">
<title>3 Existing tools</title>
<p>We have identified a set of existing tools serving the identified needs (observation planning and observation interpretation).</p>
<sec id="s3-1">
<title>3.1 Nan&#xe7;ay decameter array probability maps</title>
<p>The Nan&#xe7;ay Decameter Array (NDA, <xref ref-type="bibr" rid="B17">Lamy et al., 2017</xref>) is a phased array located in Nan&#xe7;ay Radioastronomy Observatory (ORN), routinely observing Jupiter and the Sun. In addition to the data products<xref ref-type="fn" rid="fn1">
<sup>1</sup>
</xref>, the NDA team is providing its users with a series of monthly Io Phase-CML probability maps, as well as the time of the Jupiter transit at the observer&#x2019;s location, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>NDA provided probability maps for Io-controlled Jovian radio emission, on October 2006. The figure presents the observer&#x2019;s CML on the horizontal axis, and the Io phase on the vertical axis. The dotted lines are the trajectory of the observer in this plane. At the start of each dotted line, the starting day of month of the line is indicated. Each dotted line covers 8 h. The transit time of Jupiter is also provided on the middle tick along this trace. The labels and titles are in French.</p>
</caption>
<graphic xlink:href="fspas-10-1091967-g001.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Radio jupiter pro</title>
<p>The Radio Sky Publishing<xref ref-type="fn" rid="fn2">
<sup>2</sup>
</xref> team developed tools to help the preparation of Jupiter radio observation, in the frame of the RadioJOVE citizen science project (<xref ref-type="bibr" rid="B31">Thieman et al., 2006</xref>; <xref ref-type="bibr" rid="B7">Fung et al., 2020</xref>). The <italic>Radio Jupiter Pro</italic> application<xref ref-type="fn" rid="fn3">
<sup>3</sup>
</xref> specifically provides Io Phase-CML probability map, plots indicating the elevation of Jupiter and the Sun at the observer&#x2019;s location, as well as their location within the antenna beam, when this information is configured. See <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Radio Jupiter Pro features: <bold>(A)</bold> Io Phase-CML probability map with the observer&#x2019;s location marked with the Jupiter planet symbol; <bold>(B)</bold> elevation of Jupiter at the location of the observer. Tick marks are labelled every hour on the tracks of Jupiter on each panel.</p>
</caption>
<graphic xlink:href="fspas-10-1091967-g002.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Jupiter radio map</title>
<p>Jupiter Radio Map<xref ref-type="fn" rid="fn4">
<sup>4</sup>
</xref> is a java based application providing the Jovian radio observation probability, in an Io Phase-CML map. This application has been developed by a Japanese team (Kochi National College of Technology, Kochi). The tool displays an Io Phase-CML map, overlaid with the trace of the observational geometry, as selected on the user interface. It also used to be published as an iOS application.</p>
</sec>
<sec id="s3-4">
<title>3.4 ExPRES</title>
<p>The ExPRES (Exoplanetary and Planetary Radio Emission Simulator, <xref ref-type="bibr" rid="B21">Louis et al., 2019</xref>) is a radio observation modeling code dedicated to planetary radio emissions. It allows to construct dynamic spectra predictions, for an observation geometry and a set of radio emission conditions.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Online application</title>
<p>The &#x201c;Jupiter Probability Tool&#x201d; application has been designed following the requirements presented in <xref ref-type="sec" rid="s2">Section 2</xref>. The tools cited in <xref ref-type="sec" rid="s3">Section 3</xref> are already implementing part of project requirements. Hence, our application&#x2019;s graphical user interface implements some interface features found in existing tools (e.g., the location of Jupiter on the Phase-CML map, similarly to the Radio Jupiter Pro tool, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>). However, since the previous tools are not open source, none of their code have been reused.</p>
<p>The application is using the SPICE kernel system (<xref ref-type="bibr" rid="B1">Acton et al., 2018</xref>) for computing observational and planetary ephemerides. It also displays contextual data, when available, such as observational data (e.g., from the NDA database) and pre-computed modeled data from the ExPRES modeling tool.</p>
<p>The application has been developed as a joint project between the MASER (Measuring, Analysing and Modeling of Emissions in the Radio range) service (<xref ref-type="bibr" rid="B6">Cecconi et al., 2020</xref>), and the NDA team (<xref ref-type="bibr" rid="B17">Lamy et al., 2017</xref>), with support of PADC (Paris Astronomical Data Centre).</p>
<sec id="s4-1">
<title>4.1 Graphical user interface</title>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> shows a screenshot of the tool user interface. The tagged elements of this interface are described in <xref ref-type="table" rid="T1">Table 1</xref>. The online Jupiter Probability Tool application (<xref ref-type="bibr" rid="B2">Aicardi et al., 2022</xref>) is currently available at: <ext-link ext-link-type="uri" xlink:href="https://jupiter-probability-tool.obspm.fr">https://jupiter-probability-tool.obspm.fr</ext-link>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Screenshot of the online application. The numbers are referring to the numbered items in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
</caption>
<graphic xlink:href="fspas-10-1091967-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Features of the application graphical user interface, with their type. <italic>List</italic> items are drop-down menus with predefined values. <italic>Number</italic> items are text boxes with decimal numbers input. <italic>Epoch</italic> items are text boxes with date and time input. <italic>Switch</italic> items are buttons to activate a feature. <italic>Button</italic> items are used to trigger an action. <italic>Display</italic> items are showing the result of the query. <italic>Cursor</italic> items are actionable objects allowing to select a location within a range.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Tag</th>
<th align="left">Type</th>
<th align="left">Description</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">List</td>
<td align="left">
<italic>Observatory selection</italic>: A list of predefined observatories. At the time of writing of the paper, the list of observatories is: NDA (Nan&#xe7;ay Decameter Array, Nancay, France), UTR-2 (Kharkiv, Ukraine), Iitate (Japan), LWA (Long Wavelength Array, New Mexico, United States), I-LOFAR (Irish LOFAR station), and the Juno spacecraft. In order to manually enter the location of an observatory, use the &#x201c;Custom (Earth-based)&#x201d; entry</td>
</tr>
<tr>
<td align="left">2,3,4</td>
<td align="left">Number</td>
<td align="left">
<italic>Observer&#x2019;s coordinates</italic>: For ground based observatories, the latitude 1) in <italic>degrees</italic>, longitude 2) in <italic>degrees</italic>, and altitude in <italic>m</italic> above see level of the observatory (automatically filled in upon selection of the predefined observatory)</td>
</tr>
<tr>
<td align="left">5,6</td>
<td align="left">Epoch</td>
<td align="left">
<italic>Time range selection</italic>: Start time 5) and End time 6) for the display</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">Epoch</td>
<td align="left">
<italic>Sliding Time selection</italic>: Selected observation configuration within the time range</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">List</td>
<td align="left">
<italic>Phase-CML map selection</italic>: A list of Phase-CML maps</td>
</tr>
<tr>
<td align="left">9</td>
<td align="left">List</td>
<td align="left">
<italic>Satellite selection</italic>: A list of Jovian moon: Io, Europa, Ganymede, Callisto, Amalthea</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">Switch</td>
<td align="left">
<italic>Jupiter visibility</italic>: Activate the Jupiter visibility from the observer feature</td>
</tr>
<tr>
<td align="left">11</td>
<td align="left">Switch</td>
<td align="left">
<italic>Jupiter elevation threshold</italic>: Set the elevation threshold if the &#x201c;Jupiter visibility&#x201d; feature is active</td>
</tr>
<tr>
<td align="left">12,13</td>
<td align="left">Button</td>
<td align="left">
<italic>Time selection</italic>: Move the time range backward 12) or forward 13)</td>
</tr>
<tr>
<td align="left">14</td>
<td align="left">Button</td>
<td align="left">
<italic>Submit</italic>: Submit the form and update the display panels</td>
</tr>
<tr>
<td align="left">15</td>
<td align="left">Display</td>
<td align="left">
<italic>Probability map</italic>: The selected Phase-CML map 8) is displayed, with the track of the observation geometry [using the time range 5) to 6)] and the &#x201c;Jupiter&#x201d; symbol placed at the time 7). The panel can be used to select the display time by clicking on the observation track. If the &#x201c;Jupiter visibility&#x201d; feature is active, the track shows shading depending on the elevation of Jupiter. The reference of the map is given below the figure</td>
</tr>
<tr>
<td align="left">16</td>
<td align="left">Cursor</td>
<td align="left">
<italic>Observational geometry</italic>: The marker of the selected observational geometry if a &#x201c;Jupiter&#x201d; planet symbol</td>
</tr>
<tr>
<td align="left">17</td>
<td align="left">Button</td>
<td align="left">
<italic>Download map</italic>: The figure can be downloaded as a PDF file</td>
</tr>
<tr>
<td align="left">18</td>
<td align="left">Display</td>
<td align="left">
<italic>Modeled dynamic spectrum</italic>: A modeled dynamic spectrum, using ExPRES, with a background shading if the &#x201c;Jupiter visibility&#x201d; feature is active. A vertical dashed line with markers at the top and bottom is showing the display time</td>
</tr>
<tr>
<td align="left">19</td>
<td align="left">Display</td>
<td align="left">
<italic>Observation</italic>: If observations are available for the selected observatory, and the selected time range, they are displayed in this panel. Currently, only NDA data can be displayed here</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Development details</title>
<p>The application is developed in python, using the <italic>flask</italic>
<xref ref-type="fn" rid="fn5">
<sup>5</sup>
</xref> web development library (<xref ref-type="bibr" rid="B8">Grinberg, 2018</xref>). The Solar System bodies and spacecraft ephemerides are retrieved using the <italic>python-webgeocalc</italic>
<xref ref-type="fn" rid="fn6">
<sup>6</sup>
</xref> library, accessing a dedicated WebGeoCalc server (<xref ref-type="bibr" rid="B1">Acton et al., 2018</xref>) installed at the Observatoire de Paris. That server is configured to serve locally SPICE kernels for NASA, ESA and JAXA space mission. The NDA Jupiter data are retrieved using the <italic>das2</italic> (<xref ref-type="bibr" rid="B27">Piker, 2017</xref>) protocol, connecting to a <italic>das2</italic> server implemented and maintained by the Nan&#xe7;ay Data Centre (CDN), at the Nan&#xe7;ay Radio Observatory (ORN). The ExPRES simulation runs are retrieved from a local server as CDF<xref ref-type="fn" rid="fn7">
<sup>7</sup>
</xref> files, and are accessed using the <italic>spacepy</italic>. <italic>PyCDF</italic> (<xref ref-type="bibr" rid="B26">Niehof et al., 2022</xref>) module. The application also uses the <italic>Pillow</italic>
<xref ref-type="fn" rid="fn8">
<sup>8</sup>
</xref>, <italic>numpy</italic> (<xref ref-type="bibr" rid="B9">Harris et al., 2020</xref>), <italic>astropy</italic> (<xref ref-type="bibr" rid="B28">The Astropy Collaboration et al., 2018</xref>), <italic>matplotlib</italic> (<xref ref-type="bibr" rid="B11">Hunter, 2007</xref>) and <italic>sqlalchemy</italic> (<xref ref-type="bibr" rid="B3">Bayer, 2012</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Ephemerides computation</title>
<p>The observational geometry is computed in a two-step process. First the location of the observer is retrieved with a <italic>STATE&#x5f;VECTOR</italic> query to the WebGeoCalc server, using the <italic>LATITUDINAL</italic> representation (providing latitude, longitude and distance in the selected frame), the <italic>IAU&#x5f;JUPITER</italic> reference frame, and the aberration correction set to <italic>CN &#x2b; S</italic> (see WebGeoCalc documentation for details). In the following listings, we assume the <monospace>timestamp</monospace> variable is a iterable containing the list of times to be used for computation (list of <monospace>datetime.datetime</monospace> objects). The <monospace>kernels</monospace> variable contains the list of meta-kernels to be usedfor the current computation. For Earth-based observatories, the <italic>Solar System Kernels</italic> are selected. For space mission, the specific meta-kernel has to added. Finally, the <monospace>observer</monospace> variable contains the observer&#x2019;s name.</p>
<p>
<boxed-text id="Box1" position="float">
<label>Listing 1.&#x00A0;</label>
<title>First State Vector query to Webgeocalc: computing <italic>CML</italic> and <italic>time at target</italic>
</title>
<p>
<preformat>
<named-content content-type="line-number">1&#x2003;</named-content>
<font color="#FA8072">from</font> webgeocal <font color="#FA8072">import</font> Calculation</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">2&#x2003;</named-content>
<font color="#FA8072">import</font> numpy as np</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">3&#x2003;</named-content>
</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">4&#x2003;</named-content>API &#x003D; <font color="#9932CC">"<ext-link ext-link-type="uri" xlink:href="https://voparis-webgeocalc2.obspm.fr/geocalc/api/">https://voparis-webgeocalc2.obspm.fr/geocalc/api/</ext-link>"</font>
</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">5&#x2003;</named-content>calc_jupiter &#x3d; Calculation(</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">6&#x2003;&#x2003;</named-content>kernels&#x3d;kernels,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">7&#x2003;&#x2003;</named-content>api&#x3d; API,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">8&#x2003;&#x2003;</named-content>times&#x3d;[timestamp.isoformat() <font color="#FA8072">for</font> timestamp <font color="#FA8072">in</font> timestamps],</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">9&#x2003;&#x2003;</named-content>calculation_type&#x3d;<font color="#9932CC">"STATE_VECTOR"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">10&#x2003;&#x2003;</named-content>target&#x3d;<font color="#9932CC">"JUPITER"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">11&#x2003;&#x2003;</named-content>observer&#x3d;observer,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">12&#x2003;&#x2003;</named-content>aberration_correction&#x3d;<font color="#9932CC">"CN&#x2b;S"</font>
</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">13&#x2003;&#x2003;</named-content>reference_frame&#x3d;<font color="#9932CC">"IAU_JUPITER"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">14&#x2003;&#x2003;</named-content>state_representation&#x3d;<font color="#9932CC">&#x2019;LATITUDINAL&#x2019;</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">15&#x2003;&#x2003;</named-content>verbose&#x3d;False</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">16&#x2003;</named-content>)</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">17&#x2003;</named-content>res_jupiter &#x3d; calc_jupiter.run()</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">18&#x2003;</named-content>cml &#x3d; (180-np.array(res_jupiter.get(<font color="#9932CC">"LONGITUDE"</font>)))&#x0025;360</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">19&#x2003;</named-content>date_jupiter &#x3d; res_jupiter.get(<font color="#9932CC">"TIME_AT_TARGET"</font>)</preformat>
</p>
</boxed-text>
</p>
<p>The CML of the observer is then:<disp-formula id="e1">
<mml:math id="m1">
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>180</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mi mathvariant="normal">mod</mml:mi>
<mml:mspace width=".17em"/>
<mml:mn>360</mml:mn>
</mml:math>
<label>(1)</label>
</disp-formula>the result of this call also provides a <italic>TIME&#x5f;AT&#x5f;TARGET</italic>. The second query retrieves the location of the selected moon in the <italic>IAU&#x5f;JUPITER</italic> reference frame, with a similar <italic>STATE&#x5f;VECTOR</italic> query, using the <italic>TIME&#x5f;AT&#x5f;TARGET</italic>, and no aberration correction. In the following listing, the <monospace>satellite</monospace> variable contains the name of the selected moon.</p>
<p>
<boxed-text id="Box2" position="float">
<label>Listing 2.&#x00A0;</label>
<title>Second State Vector query to Webgeocalc: computing the moon&#x2019;s <italic>Phase</italic>.</title>
<p>
<preformat>
<named-content content-type="line-number">1&#x2003;</named-content>calc_moon &#x3d; Calculation(</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">2&#x2003;&#x2003;</named-content>kernels&#x3d;kernels,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">3&#x2003;&#x2003;</named-content>api&#x3d;API,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">4&#x2003;&#x2003;</named-content>times&#x3d;date_jupiter,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">5&#x2003;&#x2003;</named-content>calculation_type&#x3d;<font color="#9932CC">"STATE_VECTOR"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">6&#x2003;&#x2003;</named-content>target&#x3d;satellite,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">7&#x2003;&#x2003;</named-content>observer&#x3d;<font color="#9932CC">"JUPITER"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">8&#x2003;&#x2003;</named-content>aberration_correction&#x3d;<font color="#9932CC">"NONE"</font>
</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">9&#x2003;&#x2003;</named-content>reference_frame&#x3d;<font color="#9932CC">"IAU_JUPITER"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">10&#x2003;&#x2003;</named-content>state_representation&#x3d;<font color="#9932CC">"LATITUDINAL"</font>,</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">11&#x2003;&#x2003;</named-content>verbose&#x3d;False</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">12&#x2003;</named-content>)</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">13&#x2003;</named-content>res_moon &#x3d; calc_moon.run()</preformat>
</p>
<p>
<preformat>
<named-content content-type="line-number">14&#x2003;</named-content>phase &#x3d; (180&#x2b;cml&#x2b;np.array(res_moon.get(<font color="#9932CC">"LONGITUDE"</font>)))&#x0025;360</preformat>
</p>
</boxed-text>
</p>
<p>The Phase of the moon is then:<disp-formula id="e2">
<mml:math id="m2">
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>180</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>moon</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mi mathvariant="normal">mod</mml:mi>
<mml:mspace width=".17em"/>
<mml:mn>360</mml:mn>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The elevation of Jupiter for ground observatories is retrieved with a <italic>STATE&#x5f;VECTOR</italic> call on the <italic>WebGeoCalc</italic> server, using the <italic>RA&#x5f;DEC</italic> representation. The obtained sky coordinates are transformed into alt-azimuthal coordinates using <italic>astropy</italic> and the observatory location.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Summary and perspectives</title>
<p>The Jupiter Probability Tool application is a science ready tool for preparing and analysing Jupiter radio observations. It has already been used in several studies. <xref ref-type="bibr" rid="B22">Louis et al. (2021)</xref> prepared a series of joint Jupiter decametric observations on three international LOFAR stations (Ireland, France and Germany) using the Jupiter Probability Tool. <xref ref-type="bibr" rid="B14">Lamy et al. (2022a)</xref> is a comment on a published paper. The authors made use of the application to support their argumentation. <xref ref-type="bibr" rid="B15">Lamy et al. (2022b)</xref> also made use of the application to confirm that the observed emissions were Io-controlled emissions.</p>
<p>A series of improvement and new features are planned for the next versions of the application. Firstly, new observatories shall be implemented, especially space missions with low frequency radio instrumentation, such as, e.g., Cassini; STEREO-A; STEREO-B; WIND; Galileo; JUICE; Voyager 1; Voyager 2; and Mars Express. Improvement of the application to adhere to the FAIR (Findable, Accessible, Interoperable, and Reusable) principles (<xref ref-type="bibr" rid="B32">Wilkinson et al., 2016</xref>) are also in preparation. One of the planned feature in this context is the addition of provenance (<xref ref-type="bibr" rid="B30">Servillat et al., 2022</xref>) information to the output figures (with the provision of the list of citations to be used if the figures are included in a scientific publication), thus improving the reusability of the application products.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The code of the application is currently not open (except the lines presented in the paper). The data used in this application are all openly available: ExPRES collection (<xref ref-type="bibr" rid="B20">Louis et al., 2020</xref>), NDA Jupiter Routine collection (<xref ref-type="bibr" rid="B16">Lamy et al., 2021</xref>), Phase-CML maps (<xref ref-type="bibr" rid="B13">Lamy et al., 2022</xref>), and the Juno SPICE kernel dataset (<xref ref-type="bibr" rid="B29">Semenov et al., 2017</xref>).</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>BC and LL prepared the application requirements. SA developed the application. BC and LL reviewed and commented the application during the development process. BC wrote the first version of the papier. SA and LL commented and proofread the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>The work is supported by the Europlanet 2024 Research Infrastructure project, which has received funding from the European Union&#x2019;s Horizon 2020 research and innovation programme under grant agreement No 871149.</p>
</sec>
<ack>
<p>The authors acknowledge support from Observatoire de Paris, CNES (Centre National d'Etudes Spatiale) and CNRS (Centre National de la Recherche Scientifique) through two of its funding programmes: PNP (Programme National de Plan&#xe9;tologie) and PNST (Programme National des relations Soleil-Terre). Support from Paris Astronomical Data Centre (PADC) is acknowledged.</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>
</sec>
<fn-group>
<fn id="fn1">
<label>1</label>
<p>NDA propability maps: <ext-link ext-link-type="uri" xlink:href="https://realtime.obs-nancay.fr/dam/data&#x5f;dam&#x5f;affiche/data&#x5f;dam&#x5f;affiche.php?lang=en&amp;planete=jupiter&amp;mode=proba">https://realtime.obs-nancay.fr/dam/data_dam_affiche/data_dam_affiche.php?lang&#x3d;en&#x26;planete&#x3d;jupiter&#x26;mode&#x3d;proba</ext-link>
</p>
</fn>
<fn id="fn2">
<label>2</label>
<p>Radio Sky Publishing: <ext-link ext-link-type="uri" xlink:href="https://radiosky.com/softwarehome.html">https://radiosky.com/softwarehome.html</ext-link>
</p>
</fn>
<fn id="fn3">
<label>3</label>
<p>Radio Jupiter Pro: <ext-link ext-link-type="uri" xlink:href="https://radiosky.com/rjpro3ishere.html">https://radiosky.com/rjpro3ishere.html</ext-link>
</p>
</fn>
<fn id="fn4">
<label>4</label>
<p>Jupiter Radio Map: <ext-link ext-link-type="uri" xlink:href="http://jupiter.kochi-ct.jp/jrm/">http://jupiter.kochi-ct.jp/jrm/</ext-link>
</p>
</fn>
<fn id="fn5">
<label>5</label>
<p>flask: <ext-link ext-link-type="uri" xlink:href="https://flask.palletsprojects.com/en/2.2.x/">https://flask.palletsprojects.com/en/2.2.x/</ext-link>
</p>
</fn>
<fn id="fn6">
<label>6</label>
<p>Python-Webgeocalc: <ext-link ext-link-type="uri" xlink:href="https://webgeocalc.readthedocs.io/en/latest/">https://webgeocalc.readthedocs.io/en/latest/</ext-link>
</p>
</fn>
<fn id="fn7">
<label>7</label>
<p>Common Data Format: <ext-link ext-link-type="uri" xlink:href="https://cdf.gsfc.nasa.gov/">https://cdf.gsfc.nasa.gov/</ext-link>
</p>
</fn>
<fn id="fn8">
<label>8</label>
<p>Pillow: <ext-link ext-link-type="uri" xlink:href="https://pillow.readthedocs.io/en/stable/">https://pillow.readthedocs.io/en/stable/</ext-link>
</p>
</fn>
</fn-group>
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