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class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pagine per utenti anonimi <a href="/wiki/Aiuto:Benvenuto" aria-label="Ulteriori informazioni sulla contribuzione"><span>ulteriori informazioni</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Speciale:MieiContributi" title="Un elenco delle modifiche fatte da questo indirizzo IP [y]" accesskey="y"><span>contributi</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciale:MieDiscussioni" title="Discussioni sulle modifiche fatte da questo indirizzo IP [n]" accesskey="n"><span>discussioni</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Sito"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Indice" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Indice</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">nascondi</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inizio</div> </a> </li> <li id="toc-Tipologia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tipologia"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Tipologia</span> </div> </a> <ul id="toc-Tipologia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Relazione_tra_periodo_siderale_e_sinodico" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Relazione_tra_periodo_siderale_e_sinodico"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Relazione tra periodo siderale e sinodico</span> </div> </a> <button aria-controls="toc-Relazione_tra_periodo_siderale_e_sinodico-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Attiva/disattiva la sottosezione Relazione tra periodo siderale e sinodico</span> </button> <ul id="toc-Relazione_tra_periodo_siderale_e_sinodico-sublist" class="vector-toc-list"> <li id="toc-Tabella_di_correlazione" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Tabella_di_correlazione"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Tabella di correlazione</span> </div> </a> <ul id="toc-Tabella_di_correlazione-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Calcolo_del_periodo_siderale" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Calcolo_del_periodo_siderale"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Calcolo del periodo siderale</span> </div> </a> <button aria-controls="toc-Calcolo_del_periodo_siderale-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Attiva/disattiva la sottosezione Calcolo del periodo siderale</span> </button> <ul id="toc-Calcolo_del_periodo_siderale-sublist" class="vector-toc-list"> <li id="toc-In_astrodinamica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_astrodinamica"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>In astrodinamica</span> </div> </a> <ul id="toc-In_astrodinamica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-In_meccanica_celeste" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_meccanica_celeste"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>In meccanica celeste</span> </div> </a> <ul id="toc-In_meccanica_celeste-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Note" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Note"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Note</span> </div> </a> <ul id="toc-Note-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voci_correlate" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voci_correlate"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Voci correlate</span> </div> </a> <ul id="toc-Voci_correlate-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Collegamenti_esterni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collegamenti_esterni"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-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="Indice" 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="Mostra/Nascondi l'indice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Mostra/Nascondi l'indice</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Periodo di rivoluzione</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vai a una voce in un'altra lingua. Disponibile in 73 lingue" > <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-73" 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">73 lingue</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/Umlaufzeit" title="Umlaufzeit - tedesco svizzero" lang="gsw" hreflang="gsw" data-title="Umlaufzeit" data-language-autonym="Alemannisch" data-language-local-name="tedesco svizzero" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Periodo_orbital" title="Periodo orbital - aragonese" lang="an" hreflang="an" data-title="Periodo orbital" data-language-autonym="Aragonés" data-language-local-name="aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%95%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%80%E0%A4%AF_%E0%A4%85%E0%A4%B5%E0%A4%A7%E0%A4%BF" title="कक्षीय अवधि - angika" lang="anp" hreflang="anp" data-title="कक्षीय अवधि" data-language-autonym="अंगिका" data-language-local-name="angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D9%88%D8%B1_%D9%85%D8%AF%D8%A7%D8%B1%D9%8A" title="دور مداري - arabo" lang="ar" hreflang="ar" data-title="دور مداري" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Periodu_orbital" title="Periodu orbital - asturiano" lang="ast" hreflang="ast" data-title="Periodu orbital" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Orbital_d%C3%B6vr" title="Orbital dövr - azerbaigiano" lang="az" hreflang="az" data-title="Orbital dövr" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D1%80%D0%B1%D0%B8%D1%82%D0%B0%D0%BB%D0%B5%D0%BD_%D0%BF%D0%B5%D1%80%D0%B8%D0%BE%D0%B4" title="Орбитален период - bulgaro" lang="bg" hreflang="bg" data-title="Орбитален период" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%95%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%AA%E0%A6%B0%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%AF%E0%A6%BC%E0%A6%95%E0%A6%BE%E0%A6%B2" title="কক্ষীয় পর্যায়কাল - bengalese" lang="bn" hreflang="bn" data-title="কক্ষীয় পর্যায়কাল" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Orbitalni_period" title="Orbitalni period - bosniaco" lang="bs" hreflang="bs" data-title="Orbitalni period" data-language-autonym="Bosanski" data-language-local-name="bosniaco" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Per%C3%ADode_orbital" title="Període orbital - catalano" lang="ca" hreflang="ca" data-title="Període orbital" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Doba_ob%C4%9Bhu" title="Doba oběhu - ceco" lang="cs" hreflang="cs" data-title="Doba oběhu" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Siderisk_tid" title="Siderisk tid - danese" lang="da" hreflang="da" data-title="Siderisk tid" data-language-autonym="Dansk" data-language-local-name="danese" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Umlaufzeit" title="Umlaufzeit - tedesco" lang="de" hreflang="de" data-title="Umlaufzeit" data-language-autonym="Deutsch" data-language-local-name="tedesco" 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%A0%CE%B5%CF%81%CE%AF%CE%BF%CE%B4%CE%BF%CF%82_%CF%80%CE%B5%CF%81%CE%B9%CF%86%CE%BF%CF%81%CE%AC%CF%82" title="Περίοδος περιφοράς - greco" lang="el" hreflang="el" data-title="Περίοδος περιφοράς" data-language-autonym="Ελληνικά" data-language-local-name="greco" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Orbital_period" title="Orbital period - inglese" lang="en" hreflang="en" data-title="Orbital period" data-language-autonym="English" data-language-local-name="inglese" 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/Orbita_periodo" title="Orbita periodo - esperanto" lang="eo" hreflang="eo" data-title="Orbita periodo" data-language-autonym="Esperanto" data-language-local-name="esperanto" 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/Per%C3%ADodo_orbital" title="Período orbital - spagnolo" lang="es" hreflang="es" data-title="Período orbital" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Sideeriline_periood" title="Sideeriline periood - estone" lang="et" hreflang="et" data-title="Sideeriline periood" data-language-autonym="Eesti" data-language-local-name="estone" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Orbita-periodo" title="Orbita-periodo - basco" lang="eu" hreflang="eu" data-title="Orbita-periodo" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D9%86%D8%A7%D9%88%D8%A8_%D9%85%D8%AF%D8%A7%D8%B1%DB%8C" title="تناوب مداری - persiano" lang="fa" hreflang="fa" data-title="تناوب مداری" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kiertoaika" title="Kiertoaika - finlandese" lang="fi" hreflang="fi" data-title="Kiertoaika" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/P%C3%A9riode_de_r%C3%A9volution" title="Période de révolution - francese" lang="fr" hreflang="fr" data-title="Période de révolution" data-language-autonym="Français" data-language-local-name="francese" 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/Tr%C3%A9imhse_fhithiseach" title="Tréimhse fhithiseach - irlandese" lang="ga" hreflang="ga" data-title="Tréimhse fhithiseach" data-language-autonym="Gaeilge" data-language-local-name="irlandese" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Per%C3%ADodo_orbital" title="Período orbital - galiziano" lang="gl" hreflang="gl" data-title="Período orbital" data-language-autonym="Galego" data-language-local-name="galiziano" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%96%D7%9E%D7%9F_%D7%94%D7%A7%D7%A4%D7%94" title="זמן הקפה - ebraico" lang="he" hreflang="he" data-title="זמן הקפה" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%95%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%80%E0%A4%AF_%E0%A4%85%E0%A4%B5%E0%A4%A7%E0%A4%BF" title="कक्षीय अवधि - hindi" lang="hi" hreflang="hi" data-title="कक्षीय अवधि" 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/Ophodno_vrijeme" title="Ophodno vrijeme - croato" lang="hr" hreflang="hr" data-title="Ophodno vrijeme" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kering%C3%A9si_id%C5%91" title="Keringési idő - ungherese" lang="hu" hreflang="hu" data-title="Keringési idő" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%AB%D5%A4%D5%A5%D6%80%D5%AB%D5%AF_%D5%BA%D5%A1%D6%80%D5%A2%D5%A5%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Սիդերիկ պարբերություն - armeno" lang="hy" hreflang="hy" data-title="Սիդերիկ պարբերություն" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Periode_orbit" title="Periode orbit - indonesiano" lang="id" hreflang="id" data-title="Periode orbit" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/Oge_Orbital" title="Oge Orbital - igbo" lang="ig" hreflang="ig" data-title="Oge Orbital" data-language-autonym="Igbo" data-language-local-name="igbo" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%85%AC%E8%BB%A2%E5%91%A8%E6%9C%9F" title="公転周期 - giapponese" lang="ja" hreflang="ja" data-title="公転周期" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9D%E1%83%A0%E1%83%91%E1%83%98%E1%83%A2%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%9E%E1%83%94%E1%83%A0%E1%83%98%E1%83%9D%E1%83%93%E1%83%98" title="ორბიტალური პერიოდი - georgiano" lang="ka" hreflang="ka" data-title="ორბიტალური პერიოდი" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tallit_tamezzayt" title="Tallit tamezzayt - cabilo" lang="kab" hreflang="kab" data-title="Tallit tamezzayt" data-language-autonym="Taqbaylit" data-language-local-name="cabilo" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B3%B5%EC%A0%84_%EC%A3%BC%EA%B8%B0" title="공전 주기 - coreano" lang="ko" hreflang="ko" data-title="공전 주기" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A1%D0%B8%D0%B4%D0%B5%D1%80%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA_%D0%BC%D0%B5%D0%B7%D0%B3%D0%B8%D0%BB" title="Сидерикалык мезгил - kirghiso" lang="ky" hreflang="ky" data-title="Сидерикалык мезгил" data-language-autonym="Кыргызча" data-language-local-name="kirghiso" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Periodus_orbitalis" title="Periodus orbitalis - latino" lang="la" hreflang="la" data-title="Periodus orbitalis" data-language-autonym="Latina" data-language-local-name="latino" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/%C3%8Bmlafz%C3%A4it" title="Ëmlafzäit - lussemburghese" lang="lb" hreflang="lb" data-title="Ëmlafzäit" data-language-autonym="Lëtzebuergesch" data-language-local-name="lussemburghese" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/%C5%BDvaig%C5%BEdinis_periodas" title="Žvaigždinis periodas - lituano" lang="lt" hreflang="lt" data-title="Žvaigždinis periodas" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Apri%C5%86%C4%B7ojuma_periods" title="Apriņķojuma periods - lettone" lang="lv" hreflang="lv" data-title="Apriņķojuma periods" data-language-autonym="Latviešu" data-language-local-name="lettone" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9E%D1%80%D0%B1%D0%B8%D1%82%D0%B0%D0%BB%D0%B5%D0%BD_%D0%BF%D0%B5%D1%80%D0%B8%D0%BE%D0%B4" title="Орбитален период - macedone" lang="mk" hreflang="mk" data-title="Орбитален период" data-language-autonym="Македонски" data-language-local-name="macedone" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%A3_%E0%A4%95%E0%A4%BE%E0%A4%B3" title="परिभ्रमण काळ - marathi" lang="mr" hreflang="mr" data-title="परिभ्रमण काळ" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Tempoh_orbit" title="Tempoh orbit - malese" lang="ms" hreflang="ms" data-title="Tempoh orbit" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/%C3%9Cmlooptiet" title="Ümlooptiet - basso tedesco" lang="nds" hreflang="nds" data-title="Ümlooptiet" data-language-autonym="Plattdüütsch" data-language-local-name="basso tedesco" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Omlooptijd_(astronomie)" title="Omlooptijd (astronomie) - olandese" lang="nl" hreflang="nl" data-title="Omlooptijd (astronomie)" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Baneperiode" title="Baneperiode - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Baneperiode" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Oml%C3%B8pstid" title="Omløpstid - norvegese bokmål" lang="nb" hreflang="nb" data-title="Omløpstid" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Peri%C3%B2de_de_revolucion" title="Periòde de revolucion - occitano" lang="oc" hreflang="oc" data-title="Periòde de revolucion" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Okres_orbitalny" title="Okres orbitalny - polacco" lang="pl" hreflang="pl" data-title="Okres orbitalny" data-language-autonym="Polski" data-language-local-name="polacco" 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/Per%C3%ADodo_orbital" title="Período orbital - portoghese" lang="pt" hreflang="pt" data-title="Período orbital" data-language-autonym="Português" data-language-local-name="portoghese" 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/Perioad%C4%83_sinodic%C4%83" title="Perioadă sinodică - rumeno" lang="ro" hreflang="ro" data-title="Perioadă sinodică" data-language-autonym="Română" data-language-local-name="rumeno" 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%9E%D1%80%D0%B1%D0%B8%D1%82%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D0%BF%D0%B5%D1%80%D0%B8%D0%BE%D0%B4" title="Орбитальный период - russo" lang="ru" hreflang="ru" data-title="Орбитальный период" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Piriudu_di_rivuluzzioni" title="Piriudu di rivuluzzioni - siciliano" lang="scn" hreflang="scn" data-title="Piriudu di rivuluzzioni" data-language-autonym="Sicilianu" data-language-local-name="siciliano" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Orbitalni_period" title="Orbitalni period - serbo-croato" lang="sh" hreflang="sh" data-title="Orbitalni period" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9A%E0%B6%9A%E0%B7%8A%E0%B7%82%E0%B7%93%E0%B6%BA_%E0%B6%9A%E0%B7%8F%E0%B6%BD%E0%B7%8F%E0%B7%80%E0%B6%BB%E0%B7%8A%E0%B6%AD%E0%B6%BA" title="කක්ෂීය කාලාවර්තය - singalese" lang="si" hreflang="si" data-title="කක්ෂීය කාලාවර්තය" data-language-autonym="සිංහල" data-language-local-name="singalese" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Orbital_period" title="Orbital period - Simple English" lang="en-simple" hreflang="en-simple" data-title="Orbital period" 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-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Obe%C5%BEn%C3%A1_doba_(astron%C3%B3mia)" title="Obežná doba (astronómia) - slovacco" lang="sk" hreflang="sk" data-title="Obežná doba (astronómia)" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Orbitalna_perioda" title="Orbitalna perioda - sloveno" lang="sl" hreflang="sl" data-title="Orbitalna perioda" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Periudha_orbitale" title="Periudha orbitale - albanese" lang="sq" hreflang="sq" data-title="Periudha orbitale" data-language-autonym="Shqip" data-language-local-name="albanese" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9E%D1%80%D0%B1%D0%B8%D1%82%D0%B0%D0%BB%D0%BD%D0%B8_%D0%BF%D0%B5%D1%80%D0%B8%D0%BE%D0%B4" title="Орбитални период - serbo" lang="sr" hreflang="sr" data-title="Орбитални период" data-language-autonym="Српски / srpski" data-language-local-name="serbo" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Siderisk_omloppstid" title="Siderisk omloppstid - svedese" lang="sv" hreflang="sv" data-title="Siderisk omloppstid" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Kipindi_cha_mzunguko" title="Kipindi cha mzunguko - swahili" lang="sw" hreflang="sw" data-title="Kipindi cha mzunguko" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/%C3%94kres_%C3%B4rbitalny" title="Ôkres ôrbitalny - slesiano" lang="szl" hreflang="szl" data-title="Ôkres ôrbitalny" data-language-autonym="Ślůnski" data-language-local-name="slesiano" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%81%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%BE%E0%AE%B2%E0%AE%AE%E0%AF%8D" title="சுற்றுக்காலம் - tamil" lang="ta" hreflang="ta" data-title="சுற்றுக்காலம்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%95%E0%B0%95%E0%B1%8D%E0%B0%B7%E0%B1%8D%E0%B0%AF%E0%B0%BE_%E0%B0%B5%E0%B1%8D%E0%B0%AF%E0%B0%B5%E0%B0%A7%E0%B0%BF" title="కక్ష్యా వ్యవధి - telugu" lang="te" hreflang="te" data-title="కక్ష్యా వ్యవధి" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%B2%E0%B8%9A%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%82%E0%B8%84%E0%B8%88%E0%B8%A3" title="คาบการโคจร - thailandese" lang="th" hreflang="th" data-title="คาบการโคจร" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Y%C3%B6r%C3%BCnge_periyodu" title="Yörünge periyodu - turco" lang="tr" hreflang="tr" data-title="Yörünge periyodu" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D1%80%D0%B1%D1%96%D1%82%D0%B0%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9_%D0%BF%D0%B5%D1%80%D1%96%D0%BE%D0%B4" title="Орбітальний період - ucraino" lang="uk" hreflang="uk" data-title="Орбітальний період" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Orbital_davr" title="Orbital davr - uzbeco" lang="uz" hreflang="uz" data-title="Orbital davr" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Chu_k%E1%BB%B3_qu%E1%BB%B9_%C4%91%E1%BA%A1o" title="Chu kỳ quỹ đạo - vietnamita" lang="vi" hreflang="vi" data-title="Chu kỳ quỹ đạo" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%BD%A8%E9%81%93%E5%91%A8%E6%9C%9F" title="轨道周期 - wu" lang="wuu" hreflang="wuu" data-title="轨道周期" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%BD%A8%E9%81%93%E5%91%A8%E6%9C%9F" title="轨道周期 - cinese" lang="zh" hreflang="zh" data-title="轨道周期" data-language-autonym="中文" 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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">Aspetto</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">nascondi</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">Da Wikipedia, l'enciclopedia libera.</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="it" dir="ltr"><p>Il <b>periodo di rivoluzione</b> è il tempo che un corpo orbitante, ad esempio un <a href="/wiki/Pianeta" title="Pianeta">pianeta</a>, impiega per compiere un'<a href="/wiki/Orbita_(astronomia)" class="mw-redirect" title="Orbita (astronomia)">orbita</a> completa durante il suo <a href="/wiki/Moto_di_rivoluzione" title="Moto di rivoluzione">moto di rivoluzione</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Tipologia">Tipologia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=1" title="Modifica la sezione Tipologia" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=1" title="Edit section's source code: Tipologia"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per gli oggetti intorno al <a href="/wiki/Sole" title="Sole">Sole</a>, il periodo di rivoluzione può essere calcolato in diversi modi: </p> <ul><li>Il <b>periodo siderale</b> è il tempo che impiega l'oggetto per compiere un'intera orbita intorno al Sole, ovvero il tempo impiegato per ritornare allo stesso punto rispetto alle <a href="/wiki/Stella" title="Stella">stelle</a> fisse (per la <a href="/wiki/Rivoluzione_terrestre" class="mw-redirect" title="Rivoluzione terrestre">Terra</a> ad esempio è di 365,256366 giorni). Comunemente per periodo di rivoluzione, per semplicità, si intende la rivoluzione siderale.</li> <li>Il <b>periodo sinodico</b> è il tempo che impiega un oggetto, osservato dalla Terra, per ritornare nella stessa posizione del cielo, rispetto al <a href="/wiki/Sole" title="Sole">Sole</a>. È il tempo che passa tra due <a href="/wiki/Congiunzione_(astronomia)" title="Congiunzione (astronomia)">congiunzioni</a> successive col Sole, ed è il periodo orbitale apparente (visto dalla Terra) dell'oggetto. La rivoluzione sinodica differisce dalla rivoluzione siderale perché la Terra stessa gira intorno al Sole.</li> <li>Il <b>periodo draconitico</b> è il tempo che intercorre tra due passaggi dell'oggetto al suo <a href="/wiki/Nodo_ascendente" class="mw-redirect" title="Nodo ascendente">nodo ascendente</a>, il punto della sua orbita dove attraversa l'<a href="/wiki/Eclittica" title="Eclittica">eclittica</a> dal suo emisfero meridionale all'emisfero settentrionale. Differisce dal periodo siderale per effetto della lenta <a href="/wiki/Precessione" title="Precessione">precessione</a> della <a href="/wiki/Linea_dei_nodi" class="mw-redirect" title="Linea dei nodi">linea dei nodi</a> dell'oggetto.<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></li> <li>Il <b>periodo anomalistico</b> è il tempo che passa tra due passaggi dell'oggetto al suo <a href="/wiki/Perielio" title="Perielio">perielio</a>, il punto più vicino al <a href="/wiki/Sole" title="Sole">Sole</a>. Differisce dal periodo siderale per la <a href="/wiki/Precessione_anomalistica" title="Precessione anomalistica">precessione del semiasse maggiore</a> dell'oggetto. L'anno anomalistico della Terra risulta superiore a quello siderale per circa 4 minuti e 43 secondi<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></li> <li>Il <b>periodo tropico</b>, infine, è il tempo che passa tra due passaggi dell'oggetto all'<a href="/wiki/Ascensione_retta" title="Ascensione retta">ascensione retta</a> zero. È lievemente più corto del periodo siderale per la precessione del <a href="/wiki/Punto_vernale" title="Punto vernale">punto vernale</a>. Il ciclo della precessione assiale della Terra, noto come <i>precessione degli equinozi</i>, ricorre ogni 25.772 anni.<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="mw-heading mw-heading2"><h2 id="Relazione_tra_periodo_siderale_e_sinodico">Relazione tra periodo siderale e sinodico</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=2" title="Modifica la sezione Relazione tra periodo siderale e sinodico" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=2" title="Edit section's source code: Relazione tra periodo siderale e sinodico"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Periods_Slika_02_b.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Periods_Slika_02_b.jpg/220px-Periods_Slika_02_b.jpg" decoding="async" width="220" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Periods_Slika_02_b.jpg/330px-Periods_Slika_02_b.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Periods_Slika_02_b.jpg/440px-Periods_Slika_02_b.jpg 2x" data-file-width="612" data-file-height="557" /></a><figcaption>La relazione tra il periodo siderale e sinodico di un pianeta</figcaption></figure> <p><a href="/wiki/Niccol%C3%B2_Copernico" title="Niccolò Copernico">Niccolò Copernico</a> concepì una <a href="/wiki/Formula" title="Formula">formula</a> <a href="/wiki/Matematica" title="Matematica">matematica</a> per calcolare il periodo siderale di un pianeta partendo dal suo periodo sinodico. </p><p>Usando le abbreviazioni </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 E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle E}"></span> = il periodo siderale della Terra (un <a href="/wiki/Anno_siderale" title="Anno siderale">anno siderale</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>)</dd> <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> = il periodo siderale dell'altro pianeta</dd> <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 S}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4611d85173cd3b508e67077d4a1252c9c05abca2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.499ex; height:2.176ex;" alt="{\displaystyle S}"></span> = il periodo sinodico dell'altro pianeta (visto dalla Terra)</dd></dl> <p>Durante il tempo <i>S</i>, la Terra si sposta di un angolo di (<a href="/wiki/Grado_d%27arco" title="Grado d'arco">360°</a>/<i>E</i>)<i>S</i> (presumendo un'<a href="/wiki/Orbita_circolare" title="Orbita circolare">orbita circolare</a>) e il pianeta si muove (360°/<i>P</i>)<i>S</i>. </p><p>Consideriamo il caso di un <a href="/wiki/Pianeta_interno" title="Pianeta interno">pianeta interno</a>, (un pianeta con orbita più interna di quella della Terra: <a href="/wiki/Mercurio_(astronomia)" title="Mercurio (astronomia)">Mercurio</a> e <a href="/wiki/Venere_(astronomia)" title="Venere (astronomia)">Venere</a>). </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 {\frac {S}{P}}360^{\circ }={\frac {S}{E}}360^{\circ }+360^{\circ }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>S</mi> <mi>P</mi> </mfrac> </mrow> <msup> <mn>360</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>S</mi> <mi>E</mi> </mfrac> </mrow> <msup> <mn>360</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> <mo>+</mo> <msup> <mn>360</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {S}{P}}360^{\circ }={\frac {S}{E}}360^{\circ }+360^{\circ }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f61efbf0328f4f82941bc5c339b58926c8627502" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:24.757ex; height:5.343ex;" alt="{\displaystyle {\frac {S}{P}}360^{\circ }={\frac {S}{E}}360^{\circ }+360^{\circ }}"></span></dd></dl> <p>ed usando l'<a href="/wiki/Algebra" title="Algebra">algebra</a> otteniamo </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 P={\frac {1}{{\frac {1}{E}}+{\frac {1}{S}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>E</mi> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>S</mi> </mfrac> </mrow> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P={\frac {1}{{\frac {1}{E}}+{\frac {1}{S}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7213ee745dccc5fcaeb64c4f3a01a76d8578e87" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.505ex; width:12.508ex; height:6.843ex;" alt="{\displaystyle P={\frac {1}{{\frac {1}{E}}+{\frac {1}{S}}}}}"></span></dd></dl> <p>Per un <a href="/wiki/Pianeta_esterno" title="Pianeta esterno">pianeta esterno</a>, similmente: </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 P={\frac {1}{{\frac {1}{E}}-{\frac {1}{S}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>E</mi> </mfrac> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>S</mi> </mfrac> </mrow> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P={\frac {1}{{\frac {1}{E}}-{\frac {1}{S}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fafb897d4355e69e47f5bbc9bc740f96d244f22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.505ex; width:12.508ex; height:6.843ex;" alt="{\displaystyle P={\frac {1}{{\frac {1}{E}}-{\frac {1}{S}}}}}"></span></dd></dl> <p>Le formule qui sopra possono essere facilmente comprese considerando le <a href="/wiki/Velocit%C3%A0_angolare" title="Velocità angolare">velocità angolari</a> della Terra e dell'oggetto: l'apparente velocità angolare dell'oggetto, è la sua vera (siderale) velocità angolare meno quella della Terra, e il periodo sinodico è semplicemente un cerchio completo diviso da quell'apparente velocità angolare. </p> <div class="mw-heading mw-heading3"><h3 id="Tabella_di_correlazione">Tabella di correlazione</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=3" title="Modifica la sezione Tabella di correlazione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=3" title="Edit section's source code: Tabella di correlazione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Tabella di periodi sinodici dei <a href="/wiki/Pianeta" title="Pianeta">pianeti</a> e di altri <a href="/wiki/Corpo_celeste" class="mw-redirect" title="Corpo celeste">corpi celesti</a> del <a href="/wiki/Sistema_solare" title="Sistema solare">sistema solare</a>, relativi alla Terra: </p> <table class="wikitable"> <tbody><tr> <td>  </td> <th>Periodo siderale </th> <th colspan="2">Periodo sinodico </th></tr> <tr> <td><a href="/wiki/Mercurio_(astronomia)" title="Mercurio (astronomia)">Mercurio</a> </td> <td>0,241 anni </td> <td>0,317 anni </td> <td>115,9 giorni </td></tr> <tr> <td><a href="/wiki/Venere_(astronomia)" title="Venere (astronomia)">Venere</a> </td> <td>0,615 anni </td> <td>1,599 anni </td> <td>583,9 giorni </td></tr> <tr> <td><a href="/wiki/Terra" title="Terra">Terra</a> </td> <td><b>1 anno</b> </td> <td>— </td> <td>— </td></tr> <tr> <td><a href="/wiki/Luna" title="Luna">Luna</a> </td> <td>0,0748 anni </td> <td>0,0809 anni </td> <td>29,5306 giorni </td></tr> <tr> <td><a href="/wiki/Marte_(astronomia)" title="Marte (astronomia)">Marte</a> </td> <td>1,881 anni </td> <td>2,135 anni </td> <td>780,0 giorni </td></tr> <tr> <td><a href="/wiki/Cerere_(astronomia)" title="Cerere (astronomia)">Cerere</a> </td> <td>4,600 anni </td> <td>1,278 anni </td> <td>466,7 giorni </td></tr> <tr> <td><a href="/wiki/Giove_(astronomia)" title="Giove (astronomia)">Giove</a> </td> <td>11,87 anni </td> <td>1,092 anni </td> <td>398,9 giorni </td></tr> <tr> <td><a href="/wiki/Saturno_(astronomia)" title="Saturno (astronomia)">Saturno</a> </td> <td>29,45 anni </td> <td>1,035 anni </td> <td>378,1 giorni </td></tr> <tr> <td><a href="/wiki/Urano_(astronomia)" title="Urano (astronomia)">Urano</a> </td> <td>84,07 anni </td> <td>1,012 anni </td> <td>369,7 giorni </td></tr> <tr> <td><a href="/wiki/Nettuno_(astronomia)" title="Nettuno (astronomia)">Nettuno</a> </td> <td>164,9 anni </td> <td>1,006 anni </td> <td>367,5 giorni </td></tr> <tr> <td><a href="/wiki/Plutone_(astronomia)" title="Plutone (astronomia)">Plutone</a> </td> <td>248,1 anni </td> <td>1,004 anni </td> <td>366,7 giorni </td></tr> <tr> <td><a href="/wiki/Eris_(astronomia)" title="Eris (astronomia)">Eris</a> </td> <td>557,0 anni </td> <td>1,002 anni </td> <td>365,9 giorni </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Calcolo_del_periodo_siderale">Calcolo del periodo siderale</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=4" title="Modifica la sezione Calcolo del periodo siderale" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=4" title="Edit section's source code: Calcolo del periodo siderale"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="In_astrodinamica">In astrodinamica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=5" title="Modifica la sezione In astrodinamica" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=5" title="Edit section's source code: In astrodinamica"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:SolarSystem_Radii_and_Period.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/01/SolarSystem_Radii_and_Period.svg/220px-SolarSystem_Radii_and_Period.svg.png" decoding="async" width="220" height="283" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/01/SolarSystem_Radii_and_Period.svg/330px-SolarSystem_Radii_and_Period.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/01/SolarSystem_Radii_and_Period.svg/440px-SolarSystem_Radii_and_Period.svg.png 2x" data-file-width="665" data-file-height="855" /></a><figcaption>Grafico logaritmico del periodo (T) rispetto all'asse semi-maggiore (a). La pendenza di 3/2 mostra che <span class="nowrap">T ∝ a<sup>3/2</sup></span>.</figcaption></figure> <p>In <a href="/wiki/Astrodinamica" title="Astrodinamica">astrodinamica</a> il periodo di rivoluzione <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> di un oggetto con massa trascurabile in orbita (circolare o ellittica) ad un corpo centrale è:<sup id="cite_ref-Carr_5-0" class="reference"><a href="#cite_note-Carr-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p><p><br /> </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 T=2\pi {\sqrt {a^{3}/\mu }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>μ</mi> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=2\pi {\sqrt {a^{3}/\mu }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f454d3ecae15ea7887c1f3f40b0b80b0d6f711af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:14.401ex; height:4.843ex;" alt="{\displaystyle T=2\pi {\sqrt {a^{3}/\mu }}}"></span></dd></dl> <p>con </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 \mu =GM}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> <mo>=</mo> <mi>G</mi> <mi>M</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu =GM}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/183d080fad6c5e9292cd08bc28897f334189b75f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.769ex; height:2.676ex;" alt="{\displaystyle \mu =GM}"></span> (<a href="/wiki/Costante_gravitazionale_planetaria" title="Costante gravitazionale planetaria">Costante gravitazionale planetaria</a>)</dd></dl> <p>dove: </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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> è la lunghezza del <a href="/wiki/Semiasse_maggiore" title="Semiasse maggiore">semiasse maggiore</a> dell'orbita,</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 G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f3c8921a3b352de45446a6789b104458c9f90b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.827ex; height:2.176ex;" alt="{\displaystyle G}"></span> è la <a href="/wiki/Costante_di_gravitazione_universale" title="Costante di gravitazione universale">costante gravitazionale</a>,</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 M}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}"></span> è la <a href="/wiki/Massa_(fisica)" title="Massa (fisica)">massa</a> del corpo centrale.</li></ul> <p>Da notare che, per tutte le <a href="/wiki/Ellisse" title="Ellisse">ellissi</a> con un determinato semiasse maggiore, il periodo orbitale è lo stesso, qualunque sia l'<a href="/wiki/Eccentricit%C3%A0_(orbita)" class="mw-redirect" title="Eccentricità (orbita)">eccentricità</a>. </p><p>Per la Terra come corpo centrale (e per altri corpi sfericamente simmetrici con la stessa <a href="/wiki/Densit%C3%A0" title="Densità">densità</a> media) otteniamo </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 T=1{,}4{\sqrt {(a/R)^{3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>R</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=1{,}4{\sqrt {(a/R)^{3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4de5cdb2eef76560734b32294b3cc805a27bbdff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:17.05ex; height:4.843ex;" alt="{\displaystyle T=1{,}4{\sqrt {(a/R)^{3}}}}"></span></dd></dl> <p>e per un corpo di acqua </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 T=3{,}3{\sqrt {(a/R)^{3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>R</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T=3{,}3{\sqrt {(a/R)^{3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1bba02c48715b7090d84be40352f8d4d102569" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:17.05ex; height:4.843ex;" alt="{\displaystyle T=3{,}3{\sqrt {(a/R)^{3}}}}"></span></dd></dl> <p><i>T</i> espresso in ore, <i>R</i> è il raggio del corpo. </p><p>In questo modo, in alternativa all'usare un numero molto piccolo come <i>G</i>, la forza di gravità universale può essere descritta usando alcuni materiali di riferimento, come l'acqua: il periodo di rivoluzione di un'orbita appena sopra la superficie di un corpo sferico d'acqua è 3 ore e 18 minuti. Di contro, questo può essere usato come sorta di unità "universale" di tempo. </p><p>Per il Sole come corpo centrale otteniamo semplicemente </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 T={\sqrt {a^{3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T={\sqrt {a^{3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8073f9e9d38f6eaa5ff50e677b526ed022ce38a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.343ex; height:3.343ex;" alt="{\displaystyle T={\sqrt {a^{3}}}}"></span></dd></dl> <p><i> T </i> in anni, <i>a</i> in <a href="/wiki/Unit%C3%A0_astronomica" title="Unità astronomica">AU</a>. </p> <div class="mw-heading mw-heading3"><h3 id="In_meccanica_celeste">In meccanica celeste</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=6" title="Modifica la sezione In meccanica celeste" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=6" title="Edit section's source code: In meccanica celeste"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Nella <a href="/wiki/Meccanica_celeste" title="Meccanica celeste">meccanica celeste</a>, quando le masse di entrambi i corpi orbitanti devono essere prese in considerazione, il <b>periodo orbitale </b> <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> può essere calcolato come segue:<sup id="cite_ref-Carr_5-1" class="reference"><a href="#cite_note-Carr-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </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 P=2\pi {\sqrt {\frac {a^{3}}{G\left(M_{1}+M_{2}\right)}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mrow> <mi>G</mi> <mrow> <mo>(</mo> <mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=2\pi {\sqrt {\frac {a^{3}}{G\left(M_{1}+M_{2}\right)}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c5e2f1de453a47b56bfd713cc27cc001a225409" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:23.978ex; height:7.676ex;" alt="{\displaystyle P=2\pi {\sqrt {\frac {a^{3}}{G\left(M_{1}+M_{2}\right)}}}}"></span></dd></dl> <p>dove: </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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> è la somma dei semiassi maggiori delle ellissi nelle quali i centri dei corpi si muovono (che è uguale alla separazione costante delle loro orbite circolari),</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 M_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/577d686fc81d1d1eb3ae54e78aeee8957baf6718" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{1}}"></span> e <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_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d5d4dffae5ee0db4cc433e252ee9ed7530e5cf0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{2}}"></span> sono le masse dei corpi,</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 G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f3c8921a3b352de45446a6789b104458c9f90b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.827ex; height:2.176ex;" alt="{\displaystyle G}"></span> è la costante gravitazionale.</li></ul> <p>Il periodo orbitale è indipendente dalle dimensioni: in un modello in scala sarebbe lo stesso, se le densità sono le stesse. </p><p>In una <a href="/wiki/Traiettoria" title="Traiettoria">traiettoria</a> <a href="/wiki/Parabola_(geometria)" title="Parabola (geometria)">parabolica</a> o <a href="/wiki/Iperbole_(geometria)" title="Iperbole (geometria)">iperbolica</a> il moto non è periodico, e la durata della traiettoria completa è infinita. </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=7" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=7" title="Edit section's source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1"><b>^</b></a> <span class="reference-text"><cite class="citation libro" style="font-style:normal"> Oliver Montenbruck, Eberhard Gill, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=hABRnDlDkyQC&pg=PA50"><span style="font-style:italic;">Satellite Orbits: Models, Methods, and Applications</span></a>, Springer Science & Business Media, 2000, p. 50, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/Speciale:RicercaISBN/978-3-540-67280-7" title="Speciale:RicercaISBN/978-3-540-67280-7">978-3-540-67280-7</a>.</cite></span> </li> <li id="cite_note-2"><a href="#cite_ref-2"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://www.britannica.com/EBchecked/topic/26561/anomalistic-year#tab=active~checked%2Citems~checked&title=anomalistic%20year%20--%20Britannica%20Online%20Encyclopedia"><span style="font-style:italic;">La durata dell'anno siderale e anomalistico dal sito dell'Encyclopedia Britannica</span></a>, su <span style="font-style:italic;">britannica.com</span>. <small>URL consultato il 22 ottobre 2008</small>.</cite></span> </li> <li id="cite_note-3"><a href="#cite_ref-3"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="http://demonstrations.wolfram.com/PrecessionOfTheEarthsAxis/"><span style="font-style:italic;">Precession of the Earth's Axis - Wolfram Demonstrations Project</span></a>, su <span style="font-style:italic;">demonstrations.wolfram.com</span>. <small>URL consultato il 10 febbraio 2019</small>.</cite></span> </li> <li id="cite_note-4"><a href="#cite_ref-4"><b>^</b></a> <span class="reference-text"><cite id="CITEREFTreccani_siderale1" class="citation testo" style="font-style:normal"> <a rel="nofollow" class="external text" href="http://www.treccani.it/vocabolario/siderale1"><span style="font-style:italic;">siderale</span></a>, in <span style="font-style:italic;">Treccani.it – <a href="/wiki/Vocabolario_Treccani" title="Vocabolario Treccani">Vocabolario Treccani</a> on line</span>, Roma, Istituto dell'Enciclopedia Italiana. <small>URL consultato il 23 dicembre 2022</small>.</cite></span> </li> <li id="cite_note-Carr-5"><span class="mw-cite-backlink"><b>^</b> <sup><i><a href="#cite_ref-Carr_5-0">a</a></i></sup> <sup><i><a href="#cite_ref-Carr_5-1">b</a></i></sup></span> <span class="reference-text">Bradley W. Carroll, Dale A. Ostlie. <i>An introduction to modern astrophysics</i>. 2nd edition. Pearson 2007.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=8" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=8" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Tempo_siderale" title="Tempo siderale">Tempo siderale</a></li> <li><a href="/wiki/Anno_siderale" title="Anno siderale">Anno siderale</a></li> <li><a href="/wiki/Anno_anomalistico" class="mw-redirect" title="Anno anomalistico">Anno anomalistico</a></li> <li><a href="/wiki/Anno_tropico" title="Anno tropico">Anno tropico</a></li> <li><a href="/wiki/Mese_sinodico" title="Mese sinodico">Mese sinodico</a></li> <li><a href="/wiki/Moto_di_rivoluzione" title="Moto di rivoluzione">Moto di rivoluzione</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Periodo_di_rivoluzione&veaction=edit&section=9" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Periodo_di_rivoluzione&action=edit&section=9" title="Edit section's source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li> <li><cite id="CITEREFBritannica.com" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://www.britannica.com/science/orbital-period"><span style="font-style:italic;">orbital period</span></a> / <a rel="nofollow" class="external text" href="https://www.britannica.com/topic/period-of-revolution"><span style="font-style:italic;">period of revolution</span></a>, su <span style="font-style:italic;"><a href="/wiki/Enciclopedia_Britannica" title="Enciclopedia Britannica">Enciclopedia Britannica</a></span>, Encyclopædia Britannica, Inc.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q37640#P1417" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r140554510">.mw-parser-output .CdA{border:1px solid #aaa;width:100%;margin:auto;font-size:90%;padding:2px}.mw-parser-output .CdA th{background-color:#f2f2f2;font-weight:bold;width:20%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .CdA th{background-color:#202122}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .CdA th{background-color:#202122}}</style><table class="CdA"><tbody><tr><th><a href="/wiki/Aiuto:Controllo_di_autorit%C3%A0" title="Aiuto:Controllo di autorità">Controllo di autorità</a></th><td><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a> <span class="uid">(<span style="font-weight:bolder; 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