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Subsolar point - Wikipedia
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vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button 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Available in 24 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-24" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">24 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Subsolarer_Punkt" title="Subsolarer Punkt – Alemannic" lang="gsw" hreflang="gsw" data-title="Subsolarer Punkt" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%82%D8%B7%D8%A9_%D8%AA%D8%AD%D8%AA_%D8%A7%D9%84%D8%B4%D9%85%D8%B3_%D9%85%D8%A8%D8%A7%D8%B4%D8%B1%D8%A9" title="نقطة تحت الشمس مباشرة – Arabic" lang="ar" hreflang="ar" data-title="نقطة تحت الشمس مباشرة" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%8C%E0%A6%B0%E0%A6%AA%E0%A6%BE%E0%A6%A6_%E0%A6%AC%E0%A6%BF%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%81" title="সৌরপাদ বিন্দু – Bangla" lang="bn" hreflang="bn" data-title="সৌরপাদ বিন্দু" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Punt_subsolar" title="Punt subsolar – Catalan" lang="ca" hreflang="ca" data-title="Punt subsolar" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Subsolarer_Punkt" title="Subsolarer Punkt – German" lang="de" hreflang="de" data-title="Subsolarer Punkt" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A5%CF%80%CE%BF%CE%B7%CE%BB%CE%B9%CE%B1%CE%BA%CF%8C_%CF%83%CE%B7%CE%BC%CE%B5%CE%AF%CE%BF" title="Υποηλιακό σημείο – Greek" lang="el" hreflang="el" data-title="Υποηλιακό σημείο" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Punto_subsolar" title="Punto subsolar – Spanish" lang="es" hreflang="es" data-title="Punto subsolar" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%86%D9%82%D8%B7%D9%87_%D8%B2%DB%8C%D8%B1%D8%AE%D9%88%D8%B1%D8%B4%DB%8C%D8%AF%DB%8C" title="نقطه زیرخورشیدی – Persian" lang="fa" hreflang="fa" data-title="نقطه زیرخورشیدی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Point_subsolaire" title="Point subsolaire – French" lang="fr" hreflang="fr" data-title="Point subsolaire" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Pointe_foghr%C3%A9ine" title="Pointe foghréine – Irish" lang="ga" hreflang="ga" data-title="Pointe foghréine" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AC%E0%A4%B8%E0%A5%8B%E0%A4%B2%E0%A4%B0_%E0%A4%AA%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%87%E0%A4%82%E0%A4%9F" title="सबसोलर प्वाइंट – Hindi" lang="hi" hreflang="hi" data-title="सबसोलर प्वाइंट" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Subsolarna_to%C4%8Dka" title="Subsolarna točka – Croatian" lang="hr" hreflang="hr" data-title="Subsolarna točka" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/L%C3%B3%C3%B0punktur_s%C3%B3lar" title="Lóðpunktur sólar – Icelandic" lang="is" hreflang="is" data-title="Lóðpunktur sólar" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Titik_subsuria" title="Titik subsuria – Malay" lang="ms" hreflang="ms" data-title="Titik subsuria" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%A4%AA%E9%99%BD%E7%9B%B4%E4%B8%8B%E7%82%B9" title="太陽直下点 – Japanese" lang="ja" hreflang="ja" data-title="太陽直下点" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Punkt_pods%C5%82oneczny" title="Punkt podsłoneczny – Polish" lang="pl" hreflang="pl" data-title="Punkt podsłoneczny" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Ponto_subsolar" title="Ponto subsolar – Portuguese" lang="pt" hreflang="pt" data-title="Ponto subsolar" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Punct_subsolar" title="Punct subsolar – Romanian" lang="ro" hreflang="ro" data-title="Punct subsolar" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D0%B4%D1%81%D0%BE%D0%BB%D0%BD%D0%B5%D1%87%D0%BD%D0%B0%D1%8F_%D1%82%D0%BE%D1%87%D0%BA%D0%B0" title="Подсолнечная точка – Russian" lang="ru" hreflang="ru" data-title="Подсолнечная точка" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Subsolar_point" title="Subsolar point – Simple English" lang="en-simple" hreflang="en-simple" data-title="Subsolar point" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D1%83%D0%B1%D1%81%D0%BE%D0%BB%D0%B0%D1%80%D0%BD%D0%B0_%D1%82%D0%B0%D1%87%D0%BA%D0%B0" title="Субсоларна тачка – Serbian" lang="sr" hreflang="sr" data-title="Субсоларна тачка" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Supsolarna_to%C4%8Dka" title="Supsolarna točka – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Supsolarna točka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BA%A1_%C4%91i%E1%BB%83m_M%E1%BA%B7t_Tr%E1%BB%9Di" title="Hạ điểm Mặt Trời – Vietnamese" lang="vi" hreflang="vi" data-title="Hạ điểm Mặt Trời" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%97%A5%E4%B8%8B%E9%BB%9E" title="日下點 – Chinese" lang="zh" hreflang="zh" data-title="日下點" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1399772#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > 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decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Lahaina_noon_subsolar_point.svg/330px-Lahaina_noon_subsolar_point.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Lahaina_noon_subsolar_point.svg/440px-Lahaina_noon_subsolar_point.svg.png 2x" data-file-width="512" data-file-height="384" /></a><figcaption>The subsolar point at Honolulu during <a href="/wiki/Lahaina_Noon" title="Lahaina Noon">Lahaina Noon</a> with the range of possible subsolar points shaded in pink – the angle between the Sun and the local horizontal level is exactly 90° at the subsolar point</figcaption></figure> <p>The <b>subsolar point</b> on a <a href="/wiki/Planet" title="Planet">planet</a> is the point at which its <a href="/wiki/Sun" title="Sun">Sun</a> is perceived to be directly overhead (at the <a href="/wiki/Zenith" title="Zenith">zenith</a>);<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> that is, where the Sun's <a href="/wiki/Ray_(optics)" title="Ray (optics)">rays</a> strike the planet exactly <a href="/wiki/Perpendicular" title="Perpendicular">perpendicular</a> to its surface. It can also mean the point closest to the Sun on an <a href="/wiki/Astronomical_object" title="Astronomical object">astronomical object</a>, even though the Sun might not be visible. </p><p>To an observer on a planet with an <a href="/wiki/Axial_tilt" title="Axial tilt">orientation</a> and <a href="/wiki/Earth%27s_rotation" title="Earth's rotation">rotation</a> similar to those of <a href="/wiki/Earth" title="Earth">Earth</a>, the subsolar point will appear to move westward with a speed of 1600 km/h, completing one circuit around the <a href="/wiki/Globe" title="Globe">globe</a> each day, approximately moving along the <a href="/wiki/Equator" title="Equator">equator</a>. However, it will also move <a href="/wiki/Declination" title="Declination">north and south</a> between the <a href="/wiki/Tropics" title="Tropics">tropics</a> over the course of a year, so will appear to spiral like a <a href="/wiki/Helix" title="Helix">helix</a>. </p><p>The subsolar point contacts the <a href="/wiki/Tropic_of_Cancer" title="Tropic of Cancer">Tropic of Cancer</a> on the <a href="/wiki/June_solstice" title="June solstice">June solstice</a> and the <a href="/wiki/Tropic_of_Capricorn" title="Tropic of Capricorn">Tropic of Capricorn</a> on the <a href="/wiki/December_solstice" title="December solstice">December solstice</a>. The subsolar point crosses the <a href="/wiki/Equator" title="Equator">Equator</a> on the <a href="/wiki/March_equinox" title="March equinox">March</a> and <a href="/wiki/September_equinox" title="September equinox">September equinoxes</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Coordinates_of_the_subsolar_point">Coordinates of the subsolar point</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Subsolar_point&action=edit&section=1" title="Edit section: Coordinates of the subsolar point"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The subsolar point moves constantly on the surface of the Earth, but for any given time, its coordinates, or <a href="/wiki/Latitude" title="Latitude">latitude</a> and <a href="/wiki/Longitude" title="Longitude">longitude</a>, can be calculated as follows:<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi _{s}=\delta ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ϕ<!-- ϕ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mi>δ<!-- δ --></mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi _{s}=\delta ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c94e46308338656b4a855437641ebbceb447842" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.183ex; height:2.676ex;" alt="{\displaystyle \phi _{s}=\delta ,}"></span> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{s}=-15(T_{\mathrm {GMT} }-12+E_{\mathrm {min} }/60).}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>λ<!-- λ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mo>−<!-- − --></mo> <mn>15</mn> <mo stretchy="false">(</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">G</mi> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> </msub> <mo>−<!-- − --></mo> <mn>12</mn> <mo>+</mo> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> </mrow> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>60</mn> <mo stretchy="false">)</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda _{s}=-15(T_{\mathrm {GMT} }-12+E_{\mathrm {min} }/60).}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/707967e5ea3da09eb4d61c2d0aa37c00312b3aec" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:33.8ex; height:2.843ex;" alt="{\displaystyle \lambda _{s}=-15(T_{\mathrm {GMT} }-12+E_{\mathrm {min} }/60).}"></span> </p><p>where </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi _{s}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ϕ<!-- ϕ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi _{s}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5a9290aa75faebb3080bf33484e1b276490891a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.389ex; height:2.509ex;" alt="{\displaystyle \phi _{s}}"></span> is the latitude of the subsolar point in degrees,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{s}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>λ<!-- λ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda _{s}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76f9f21a4d0065089dcedd64af294d79efadf87d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.359ex; height:2.509ex;" alt="{\displaystyle \lambda _{s}}"></span> is the longitude of the subsolar point in degrees,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>δ<!-- δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:2.343ex;" alt="{\displaystyle \delta }"></span> is the <a href="/wiki/Declination_of_the_Sun" class="mw-redirect" title="Declination of the Sun">declination of the Sun</a> in degrees,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T_{\mathrm {GMT} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">G</mi> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{\mathrm {GMT} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c3a00f2300309d2771547f801323135387acf45" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.573ex; height:2.509ex;" alt="{\displaystyle T_{\mathrm {GMT} }}"></span> is the <a href="/wiki/Greenwich_Mean_Time" title="Greenwich Mean Time">Greenwich Mean Time</a> or <a href="/wiki/UTC" class="mw-redirect" title="UTC">UTC</a>, in decimal hours since 00:00:00 UTC on the relevant date</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{\mathrm {min} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {min} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c05ade5f06af1310eb1b6f32ec4fa7d95947df29" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.688ex; height:2.509ex;" alt="{\displaystyle E_{\mathrm {min} }}"></span> is the <a href="/wiki/Equation_of_time" title="Equation of time">equation of time</a> in minutes.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Observation_in_specific_locations">Observation in specific locations</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Subsolar_point&action=edit&section=2" title="Edit section: Observation in specific locations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Qibla_observation_by_shadows_map.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Qibla_observation_by_shadows_map.svg/220px-Qibla_observation_by_shadows_map.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Qibla_observation_by_shadows_map.svg/330px-Qibla_observation_by_shadows_map.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Qibla_observation_by_shadows_map.svg/440px-Qibla_observation_by_shadows_map.svg.png 2x" data-file-width="512" data-file-height="512" /></a><figcaption>On this <a href="/wiki/Azimuthal_equidistant_projection" title="Azimuthal equidistant projection">azimuthal equidistant projection</a> centred on Mecca, when the subsolar point is on the Ka'bah, shadows of vertical poles on the sunlit hemisphere point away from it</figcaption></figure> <ul><li><a href="/wiki/Qibla_observation_by_shadows" title="Qibla observation by shadows">Qibla observation by shadows</a>, when the subsolar point passes through the <a href="/wiki/Ka%27bah" class="mw-redirect" title="Ka'bah">Ka'bah</a> in <a href="/wiki/Saudi_Arabia" title="Saudi Arabia">Saudi Arabia</a>, allowing the <a href="/wiki/Muslim" class="mw-redirect" title="Muslim">Muslim</a> sacred direction to be found by observing shadows.</li> <li>When the point passes through <a href="/wiki/Hawaii" title="Hawaii">Hawaii</a>, which is the only <a href="/wiki/United_States" title="United States">U.S. state</a> in which this happens, the event is known as <a href="/wiki/Lahaina_Noon" title="Lahaina Noon">Lahaina Noon</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li></ul> <div class="thumb tnone" style="margin-left:auto;margin-right:auto;overflow:hidden;width:auto;max-width:608px"><div class="thumbinner"><div class="noresize" style="overflow:auto"><span typeof="mw:File"><a href="/wiki/File:Subsolar_point_date_graph.svg" class="mw-file-description" title="Approximate subsolar point dates vs latitude superimposed on a world map, the example in blue denoting Lahaina Noon in Honolulu"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Subsolar_point_date_graph.svg/600px-Subsolar_point_date_graph.svg.png" decoding="async" width="600" height="185" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Subsolar_point_date_graph.svg/900px-Subsolar_point_date_graph.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Subsolar_point_date_graph.svg/1200px-Subsolar_point_date_graph.svg.png 2x" data-file-width="512" data-file-height="158" /></a></span></div><div class="thumbcaption"><div class="magnify"><a href="/wiki/File:Subsolar_point_date_graph.svg" title="File:Subsolar point date graph.svg"> </a></div>Approximate subsolar point dates vs latitude superimposed on a world map, <span class="nowrap">the example in blue</span> denoting Lahaina Noon in Honolulu</div></div></div> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Subsolar_point&action=edit&section=3" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Subsatellite_point" class="mw-redirect" title="Subsatellite point">Subsatellite point</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Subsolar_point&action=edit&section=4" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFIan_Ridpath1997" class="citation encyclopaedia cs1"><a href="/wiki/Ian_Ridpath" title="Ian Ridpath">Ian Ridpath</a>, ed. (1997). "subsolar point". <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/dictionaryofastr0000unse"><i>A Dictionary of Astronomy</i></a></span>. Oxford; New York: <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-19-211596-0" title="Special:BookSources/0-19-211596-0"><bdi>0-19-211596-0</bdi></a>. <q>The point on the Earth, or other body, at which the Sun is directly overhead at a particular time.</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=subsolar+point&rft.btitle=A+Dictionary+of+Astronomy&rft.place=Oxford%3B+New+York&rft.pub=Oxford+University+Press&rft.date=1997&rft.isbn=0-19-211596-0&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdictionaryofastr0000unse&rfr_id=info%3Asid%2Fen.wikipedia.org%3ASubsolar+point" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFZhangStackhouseMacPhersonMikovitz2021" class="citation journal cs1">Zhang, Taiping; Stackhouse, Paul W.; MacPherson, Bradley; Mikovitz, J. Colleen (2021). <a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.renene.2021.03.047">"A solar azimuth formula that renders circumstantial treatment unnecessary without compromising mathematical rigor: Mathematical setup, application and extension of a formula based on the subsolar point and atan2 function"</a>. <i>Renewable Energy</i>. <b>172</b>: 1333–1340. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.renene.2021.03.047">10.1016/j.renene.2021.03.047</a></span>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:233631040">233631040</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Renewable+Energy&rft.atitle=A+solar+azimuth+formula+that+renders+circumstantial+treatment+unnecessary+without+compromising+mathematical+rigor%3A+Mathematical+setup%2C+application+and+extension+of+a+formula+based+on+the+subsolar+point+and+atan2+function&rft.volume=172&rft.pages=1333-1340&rft.date=2021&rft_id=info%3Adoi%2F10.1016%2Fj.renene.2021.03.047&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A233631040%23id-name%3DS2CID&rft.aulast=Zhang&rft.aufirst=Taiping&rft.au=Stackhouse%2C+Paul+W.&rft.au=MacPherson%2C+Bradley&rft.au=Mikovitz%2C+J.+Colleen&rft_id=https%3A%2F%2Fdoi.org%2F10.1016%252Fj.renene.2021.03.047&rfr_id=info%3Asid%2Fen.wikipedia.org%3ASubsolar+point" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNancy_Alima_Ali2010" class="citation news cs1">Nancy Alima Ali (May 11, 2010). <a rel="nofollow" class="external text" href="http://archives.starbulletin.com/content/20100511_Noon_sun_not_directly_overhead_everywhere/">"Noon sun not directly overhead everywhere"</a>. <i><a href="/wiki/Honolulu_Star-Bulletin" title="Honolulu Star-Bulletin">Honolulu Star-Bulletin</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">November 12,</span> 2010</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Honolulu+Star-Bulletin&rft.atitle=Noon+sun+not+directly+overhead+everywhere&rft.date=2010-05-11&rft.au=Nancy+Alima+Ali&rft_id=http%3A%2F%2Farchives.starbulletin.com%2Fcontent%2F20100511_Noon_sun_not_directly_overhead_everywhere%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ASubsolar+point" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Subsolar_point&action=edit&section=5" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://timeanddate.com/worldclock/sunearth.html">Day and Night World Map</a> (shows location of subsolar point for any user-specified time)</li></ul> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐f69cdc8f6‐cnfgh Cached time: 20241122145436 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.203 seconds Real time usage: 0.312 seconds Preprocessor visited node count: 489/1000000 Post‐expand include size: 10253/2097152 bytes Template argument size: 563/2097152 bytes Highest expansion depth: 8/100 Expensive parser function count: 1/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 12587/5000000 bytes Lua time usage: 0.110/10.000 seconds Lua memory usage: 3885162/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 222.333 1 -total 55.74% 123.925 1 Template:Reflist 38.31% 85.171 1 Template:Short_description 37.03% 82.331 1 Template:Cite_dictionary 22.31% 49.602 2 Template:Pagetype 10.45% 23.234 3 Template:Main_other 9.36% 20.817 1 Template:SDcat 5.85% 13.014 1 Template:Cite_journal 4.60% 10.219 1 Template:Subsolar_point_date_graph.svg 4.01% 8.915 1 Template:Cite_news --> <!-- Saved in parser cache with key enwiki:pcache:idhash:2430727-0!canonical and timestamp 20241122145436 and revision id 1248735890. 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