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Masse minimale — Wikipédia
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Disponible en 15 langues." > <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-15" 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">15 langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A3%D8%AF%D9%86%D9%89_%D9%83%D8%AA%D9%84%D8%A9" title="أدنى كتلة – arabe" lang="ar" hreflang="ar" data-title="أدنى كتلة" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Massa_m%C3%ADnima" title="Massa mínima – catalan" lang="ca" hreflang="ca" data-title="Massa mínima" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Minimum_mass" title="Minimum mass – anglais" lang="en" hreflang="en" data-title="Minimum mass" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Minimuma_maso" title="Minimuma maso – espéranto" lang="eo" hreflang="eo" data-title="Minimuma maso" data-language-autonym="Esperanto" data-language-local-name="espéranto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Masa_m%C3%ADnima" title="Masa mínima – espagnol" lang="es" hreflang="es" data-title="Masa mínima" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Massa_minima" title="Massa minima – italien" lang="it" hreflang="it" data-title="Massa minima" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%B8%8B%E9%99%90%E8%B3%AA%E9%87%8F" title="下限質量 – japonais" lang="ja" hreflang="ja" data-title="下限質量" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B8%D0%BD%D0%B8%D0%BC%D0%B0%D0%BB%D0%BD%D0%B0_%D0%BC%D0%B0%D1%81%D0%B0" title="Минимална маса – macédonien" lang="mk" hreflang="mk" data-title="Минимална маса" data-language-autonym="Македонски" data-language-local-name="macédonien" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Jisim_minimum" title="Jisim minimum – malais" lang="ms" hreflang="ms" data-title="Jisim minimum" data-language-autonym="Bahasa Melayu" data-language-local-name="malais" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Masa_minimalna" title="Masa minimalna – polonais" lang="pl" hreflang="pl" data-title="Masa minimalna" data-language-autonym="Polski" data-language-local-name="polonais" 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/Massa_m%C3%ADnima" title="Massa mínima – portugais" lang="pt" hreflang="pt" data-title="Massa mínima" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B8%D0%BD%D0%B8%D0%BC%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D0%BC%D0%B0%D1%81%D1%81%D0%B0" title="Минимальная масса – russe" lang="ru" hreflang="ru" data-title="Минимальная масса" data-language-autonym="Русский" data-language-local-name="russe" 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/Minimum_mass" title="Minimum mass – Simple English" lang="en-simple" hreflang="en-simple" data-title="Minimum mass" 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-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D1%96%D0%BD%D1%96%D0%BC%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0_%D0%BC%D0%B0%D1%81%D0%B0" title="Мінімальна маса – ukrainien" lang="uk" hreflang="uk" data-title="Мінімальна маса" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F%E4%B8%8B%E9%99%90" title="質量下限 – chinois" lang="zh" hreflang="zh" data-title="質量下限" data-language-autonym="中文" data-language-local-name="chinois" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span 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vers l’élément dans le dépôt de données connecté [g]" accesskey="g"><span>Élément Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apparence"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l'encyclopédie libre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"><p>En <a href="/wiki/Astronomie" title="Astronomie">astronomie</a>, la <b>masse minimale</b> est la valeur inférieure de la <a href="/wiki/Masse" title="Masse">masse</a> d'un objet observé comme une <a href="/wiki/Plan%C3%A8te" title="Planète">planète</a>, une <a href="/wiki/%C3%89toile" title="Étoile">étoile</a>, un <a href="/wiki/Syst%C3%A8me_binaire" title="Système binaire">système binaire</a>, une <a href="/wiki/N%C3%A9buleuse" title="Nébuleuse">nébuleuse</a>, ou un <a href="/wiki/Trou_noir" title="Trou noir">trou noir</a>, obtenue par calcul. La masse minimale est une donnée largement citée pour les <a href="/wiki/Exoplan%C3%A8te" title="Exoplanète">exoplanètes</a>. </p><p>La plupart des planètes extrasolaires étant détectées par la <a href="/wiki/M%C3%A9thode_des_vitesses_radiales" title="Méthode des vitesses radiales">méthode des vitesses radiales</a>, qui révèle des planètes en mesurant des variations dans le mouvement des étoiles le long de l'axe de visée, les vraies <a href="/wiki/Inclinaison_orbitale" title="Inclinaison orbitale">inclinaisons</a> orbitales et <a href="/wiki/Vraie_masse" title="Vraie masse">vraies masses</a> des planètes sont généralement inconnues. </p><p>Si l'inclinaison peut être déterminée, la <a href="/wiki/Vraie_masse" title="Vraie masse">vraie masse</a> peut être obtenue à partir de la masse minimale par la relation suivante : </p> <dl><dd><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 M_{\text{vraie}}={\frac {M_{\min }}{\sin i}}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>vraie</mtext> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mo movablelimits="true" form="prefix">min</mo> </mrow> </msub> <mrow> <mi>sin</mi> <mo>⁡<!-- --></mo> <mi>i</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\text{vraie}}={\frac {M_{\min }}{\sin i}}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e3d34a6093e71546978381f1c4cb538b04d5e85" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.557ex; height:5.176ex;" alt="{\displaystyle M_{\text{vraie}}={\frac {M_{\min }}{\sin i}}\,}"></span></dd></dl> <p>Pour des corps orbitant dans des <a href="/wiki/Syst%C3%A8me_stellaire" title="Système stellaire">systèmes stellaires</a> et <a href="/wiki/Syst%C3%A8me_plan%C3%A9taire" title="Système planétaire">planétaires</a> extrasolaires, une inclinaison de 0° ou 180° correspond à une orbite vue de face, alors qu'une inclinaison de 90° correspond à une orbite vue de profil. </p> <div class="mw-heading mw-heading2"><h2 id="Références"><span id="R.C3.A9f.C3.A9rences"></span>Références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masse_minimale&veaction=edit&section=1" title="Modifier la section : Références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masse_minimale&action=edit&section=1" title="Modifier le code source de la section : Références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="ouvrage" id="Marc_J.2004"><span class="ouvrage" id="Kuchner,_Marc_J.2004"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Kuchner, Marc J., « <cite style="font-style:normal" lang="en">A Minimum-Mass Extrasolar Nebula</cite> », <i><span class="lang-en" lang="en">The American Astronomical Society</span></i>, <abbr class="abbr" title="volume">vol.</abbr> 612, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 2,‎ <time class="nowrap" datetime="2004-09" data-sort-value="2004-09">septembre 2004</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">1147–1151</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1086/422577">10.1086/422577</a></span>, <a href="/wiki/Bibcode" title="Bibcode">Bibcode</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2004ApJ...612.1147K">2004ApJ...612.1147K</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Minimum-Mass+Extrasolar+Nebula&rft.jtitle=The+American+Astronomical+Society&rft.issue=2&rft.au=Kuchner%2C+Marc+J.&rft.date=2004-09&rft.volume=612&rft.pages=1147%E2%80%931151&rft_id=info%3Adoi%2F10.1086%2F422577&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AMasse+minimale"></span></span></span></li> <li><span class="ouvrage" id="2007"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> « <cite style="font-style:normal" lang="en">The minimum mass ratio of W UMa-type binary systems</cite> », <i><span class="lang-en" lang="en">Monthly Notes of the Royal Astronomical Society</span></i>, <abbr class="abbr" title="volume">vol.</abbr> 377, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 4,‎ <time class="nowrap" datetime="2007-06" data-sort-value="2007-06">juin 2007</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">1635–1637</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1111/j.1365-2966.2007.11723.x">10.1111/j.1365-2966.2007.11723.x</a></span>, <a href="/wiki/Bibcode" title="Bibcode">Bibcode</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2007MNRAS.377.1635A">2007MNRAS.377.1635A</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+minimum+mass+ratio+of+W+UMa-type+binary+systems&rft.jtitle=Monthly+Notes+of+the+Royal+Astronomical+Society&rft.issue=4&rft.date=2007-06&rft.volume=377&rft.pages=1635%E2%80%931637&rft_id=info%3Adoi%2F10.1111%2Fj.1365-2966.2007.11723.x&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AMasse+minimale"></span></span></li></ul> <p><br /> </p> <ul><li><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Cet article est partiellement ou en totalité issu de l’article de Wikipédia en anglais intitulé <span class="plainlinks">« <a class="external text" href="https://en.wikipedia.org/wiki/Minimum_mass?oldid=481229303">Minimum mass</a> » <small>(<a class="external text" href="https://en.wikipedia.org/wiki/Minimum_mass?action=history">voir la liste des auteurs</a>)</small></span>.</li></ul> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer skin-invert-image" typeof="mw:File"><a href="/wiki/Portail:Astronomie" title="Portail de l’astronomie"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Noun_Astronomy_Icon2.svg/25px-Noun_Astronomy_Icon2.svg.png" decoding="async" width="25" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Noun_Astronomy_Icon2.svg/37px-Noun_Astronomy_Icon2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/27/Noun_Astronomy_Icon2.svg/50px-Noun_Astronomy_Icon2.svg.png 2x" data-file-width="755" data-file-height="730" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Astronomie" title="Portail:Astronomie">Portail de l’astronomie</a></span> </span></li> <li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a 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