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cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Търсене в Уикипедия" aria-label="Търсене в Уикипедия" autocapitalize="sentences" title="Претърсване на Уикипедия [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Специални:Търсене"> </div> <button class="cdx-button cdx-search-input__end-button">Търсене</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Лични инструменти"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Облик"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Облик" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Облик</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_bg.wikipedia.org&uselang=bg" class=""><span>Направете дарение</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A1%D1%8A%D0%B7%D0%B4%D0%B0%D0%B2%D0%B0%D0%BD%D0%B5_%D0%BD%D0%B0_%D1%81%D0%BC%D0%B5%D1%82%D0%BA%D0%B0&returnto=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8+%D0%BD%D0%B0+%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" title="Насърчаваме Ви да си създадете сметка и да влезете, въпреки че не е задължително." class=""><span>Създаване на сметка</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A0%D0%B5%D0%B3%D0%B8%D1%81%D1%82%D1%80%D0%B8%D1%80%D0%B0%D0%BD%D0%B5_%D0%B8%D0%BB%D0%B8_%D0%B2%D0%BB%D0%B8%D0%B7%D0%B0%D0%BD%D0%B5&returnto=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8+%D0%BD%D0%B0+%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" title="Препоръчваме Ви да влезете, въпреки, че не е задължително. [o]" accesskey="o" class=""><span>Влизане</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Допълнителни опции" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Лични инструменти" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Лични инструменти</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Потребителско меню" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_bg.wikipedia.org&uselang=bg"><span>Направете дарение</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A1%D1%8A%D0%B7%D0%B4%D0%B0%D0%B2%D0%B0%D0%BD%D0%B5_%D0%BD%D0%B0_%D1%81%D0%BC%D0%B5%D1%82%D0%BA%D0%B0&returnto=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8+%D0%BD%D0%B0+%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" title="Насърчаваме Ви да си създадете сметка и да влезете, въпреки че не е задължително."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Създаване на сметка</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A0%D0%B5%D0%B3%D0%B8%D1%81%D1%82%D1%80%D0%B8%D1%80%D0%B0%D0%BD%D0%B5_%D0%B8%D0%BB%D0%B8_%D0%B2%D0%BB%D0%B8%D0%B7%D0%B0%D0%BD%D0%B5&returnto=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8+%D0%BD%D0%B0+%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" title="Препоръчваме Ви да влезете, въпреки, че не е задължително. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Влизане</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Страници за излезли от системата редактори <a href="/wiki/%D0%9F%D0%BE%D0%BC%D0%BE%D1%89:%D0%92%D1%8A%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5" aria-label="Научете повече за редактирането"><span>научете повече</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/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9C%D0%BE%D0%B8%D1%82%D0%B5_%D0%BF%D1%80%D0%B8%D0%BD%D0%BE%D1%81%D0%B8" title="Списък на промените, направени от този IP адрес [y]" accesskey="y"><span>Приноси</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9C%D0%BE%D1%8F%D1%82%D0%B0_%D0%B1%D0%B5%D1%81%D0%B5%D0%B4%D0%B0" title="Дискусия относно редакциите от този адрес [n]" accesskey="n"><span>Беседа</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="Сайт"> <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="Съдържание" 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">Съдържание</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">преместване към страничната лента</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">скриване</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">Начало</div> </a> </li> <li id="toc-История" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#История"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>История</span> </div> </a> <ul id="toc-История-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Теорема" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Теорема"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Теорема</span> </div> </a> <ul id="toc-Теорема-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Теория" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Теория"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Теория</span> </div> </a> <ul id="toc-Теория-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Използване_от_човека" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Използване_от_човека"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Използване от човека</span> </div> </a> <ul id="toc-Използване_от_човека-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Вижте_също" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Вижте_също"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Вижте също</span> </div> </a> <ul id="toc-Вижте_също-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-В_киното_и_фантастиката" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#В_киното_и_фантастиката"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>В киното и фантастиката</span> </div> </a> <ul id="toc-В_киното_и_фантастиката-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Бележки" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Бележки"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Бележки</span> </div> </a> <ul id="toc-Бележки-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="Съдържание" 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="Скриване/показване на съдържанието" > <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">Скриване/показване на съдържанието</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">Точки на Лагранж</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="Към статията на друг език. Налична на 71 езика" > <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-71" 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">71 езика</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Lagrange-punt" title="Lagrange-punt – африканс" lang="af" hreflang="af" data-title="Lagrange-punt" data-language-autonym="Afrikaans" data-language-local-name="африканс" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Puntos_de_Lagrange" title="Puntos de Lagrange – арагонски" lang="an" hreflang="an" data-title="Puntos de Lagrange" data-language-autonym="Aragonés" data-language-local-name="арагонски" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%82%D8%A7%D8%B7_%D9%84%D8%A7%D8%BA%D8%B1%D8%A7%D9%86%D8%AC" title="نقاط لاغرانج – арабски" lang="ar" hreflang="ar" data-title="نقاط لاغرانج" data-language-autonym="العربية" data-language-local-name="арабски" 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/Puntos_de_Lagrange" title="Puntos de Lagrange – астурски" lang="ast" hreflang="ast" data-title="Puntos de Lagrange" data-language-autonym="Asturianu" data-language-local-name="астурски" 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/Laqranj_n%C3%B6qt%C9%99l%C9%99ri" title="Laqranj nöqtələri – азербайджански" lang="az" hreflang="az" data-title="Laqranj nöqtələri" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджански" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D1%83%D0%BD%D0%BA%D1%82%D1%8B_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6%D0%B0" title="Пункты Лагранжа – беларуски" lang="be" hreflang="be" data-title="Пункты Лагранжа" data-language-autonym="Беларуская" data-language-local-name="беларуски" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B2%E0%A6%BE%E0%A6%97%E0%A7%8D%E0%A6%B0%E0%A6%81%E0%A6%9C_%E0%A6%AC%E0%A6%BF%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%81" title="লাগ্রঁজ বিন্দু – бенгалски" lang="bn" hreflang="bn" data-title="লাগ্রঁজ বিন্দু" data-language-autonym="বাংলা" data-language-local-name="бенгалски" 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/Lagrangeova_ta%C4%8Dka" title="Lagrangeova tačka – босненски" lang="bs" hreflang="bs" data-title="Lagrangeova tačka" data-language-autonym="Bosanski" data-language-local-name="босненски" 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/Punt_de_Lagrange" title="Punt de Lagrange – каталонски" lang="ca" hreflang="ca" data-title="Punt de Lagrange" data-language-autonym="Català" data-language-local-name="каталонски" 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/Libra%C4%8Dn%C3%AD_centrum" title="Librační centrum – чешки" lang="cs" hreflang="cs" data-title="Librační centrum" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6_%D0%BF%C4%83%D0%BD%D1%87%D0%B8" title="Лагранж пăнчи – чувашки" lang="cv" hreflang="cv" data-title="Лагранж пăнчи" data-language-autonym="Чӑвашла" data-language-local-name="чувашки" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Pwynt_Lagrange" title="Pwynt Lagrange – уелски" lang="cy" hreflang="cy" data-title="Pwynt Lagrange" data-language-autonym="Cymraeg" data-language-local-name="уелски" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Lagrange-punkt" title="Lagrange-punkt – датски" lang="da" hreflang="da" data-title="Lagrange-punkt" data-language-autonym="Dansk" data-language-local-name="датски" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="Добра статия"><a href="https://de.wikipedia.org/wiki/Lagrange-Punkte" title="Lagrange-Punkte – немски" lang="de" hreflang="de" data-title="Lagrange-Punkte" data-language-autonym="Deutsch" data-language-local-name="немски" 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%A3%CE%B7%CE%BC%CE%B5%CE%AF%CE%BF_%CE%9B%CE%B1%CE%B3%CE%BA%CF%81%CE%AC%CE%BD%CE%B6" title="Σημείο Λαγκράνζ – гръцки" lang="el" hreflang="el" data-title="Σημείο Λαγκράνζ" data-language-autonym="Ελληνικά" data-language-local-name="гръцки" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Punt_ad_Lagrange" title="Punt ad Lagrange – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Punt ad Lagrange" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Lagrange_point" title="Lagrange point – английски" lang="en" hreflang="en" data-title="Lagrange point" data-language-autonym="English" data-language-local-name="английски" 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/Punkto_de_Lagrange" title="Punkto de Lagrange – есперанто" lang="eo" hreflang="eo" data-title="Punkto de Lagrange" data-language-autonym="Esperanto" data-language-local-name="есперанто" 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/Puntos_de_Lagrange" title="Puntos de Lagrange – испански" lang="es" hreflang="es" data-title="Puntos de Lagrange" data-language-autonym="Español" data-language-local-name="испански" 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/Lagrange%27i_punktid" title="Lagrange'i punktid – естонски" lang="et" hreflang="et" data-title="Lagrange'i punktid" data-language-autonym="Eesti" data-language-local-name="естонски" 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/Lagrangeren_puntu" title="Lagrangeren puntu – баски" lang="eu" hreflang="eu" data-title="Lagrangeren puntu" data-language-autonym="Euskara" data-language-local-name="баски" 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/%D9%86%D9%82%D8%A7%D8%B7_%D9%84%D8%A7%DA%AF%D8%B1%D8%A7%D9%86%DA%98%DB%8C" title="نقاط لاگرانژی – персийски" lang="fa" hreflang="fa" data-title="نقاط لاگرانژی" data-language-autonym="فارسی" data-language-local-name="персийски" 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/Lagrangen_piste" title="Lagrangen piste – фински" lang="fi" hreflang="fi" data-title="Lagrangen piste" data-language-autonym="Suomi" data-language-local-name="фински" 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/Point_de_Lagrange" title="Point de Lagrange – френски" lang="fr" hreflang="fr" data-title="Point de Lagrange" data-language-autonym="Français" data-language-local-name="френски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Pointe_Lagrange" title="Pointe Lagrange – ирландски" lang="ga" hreflang="ga" data-title="Pointe Lagrange" data-language-autonym="Gaeilge" data-language-local-name="ирландски" 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/Puntos_de_Lagrange" title="Puntos de Lagrange – галисийски" lang="gl" hreflang="gl" data-title="Puntos de Lagrange" data-language-autonym="Galego" data-language-local-name="галисийски" 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%A0%D7%A7%D7%95%D7%93%D7%AA_%D7%9C%D7%92%D7%A8%D7%90%D7%A0%D7%96%27" title="נקודת לגראנז' – иврит" lang="he" hreflang="he" data-title="נקודת לגראנז'" data-language-autonym="עברית" data-language-local-name="иврит" 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%B2%E0%A4%97%E0%A5%8D%E0%A4%B0%E0%A4%BE%E0%A4%82%E0%A4%9C_%E0%A4%AC%E0%A4%BF%E0%A4%A8%E0%A5%8D%E0%A4%A6%E0%A5%81" title="लग्रांज बिन्दु – хинди" lang="hi" hreflang="hi" data-title="लग्रांज बिन्दु" data-language-autonym="हिन्दी" data-language-local-name="хинди" 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/Lagrangeove_to%C4%8Dke" title="Lagrangeove točke – хърватски" lang="hr" hreflang="hr" data-title="Lagrangeove točke" data-language-autonym="Hrvatski" data-language-local-name="хърватски" 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/Lagrange-pont" title="Lagrange-pont – унгарски" lang="hu" hreflang="hu" data-title="Lagrange-pont" data-language-autonym="Magyar" data-language-local-name="унгарски" 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/%D4%BC%D5%A1%D5%A3%D6%80%D5%A1%D5%B6%D5%AA%D5%AB_%D5%AF%D5%A5%D5%BF" title="Լագրանժի կետ – арменски" lang="hy" hreflang="hy" data-title="Լագրանժի կետ" data-language-autonym="Հայերեն" data-language-local-name="арменски" 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/Titik_Lagrange" title="Titik Lagrange – индонезийски" lang="id" hreflang="id" data-title="Titik Lagrange" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийски" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Lagrange-punktur" title="Lagrange-punktur – исландски" lang="is" hreflang="is" data-title="Lagrange-punktur" data-language-autonym="Íslenska" data-language-local-name="исландски" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Punti_di_Lagrange" title="Punti di Lagrange – италиански" lang="it" hreflang="it" data-title="Punti di Lagrange" data-language-autonym="Italiano" data-language-local-name="италиански" 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/%E3%83%A9%E3%82%B0%E3%83%A9%E3%83%B3%E3%82%B8%E3%83%A5%E7%82%B9" title="ラグランジュ点 – японски" lang="ja" hreflang="ja" data-title="ラグランジュ点" data-language-autonym="日本語" data-language-local-name="японски" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B2%E0%B2%97%E0%B3%8D%E0%B2%B0%E0%B2%BE%E0%B2%82%E0%B2%9C%E0%B2%A8_%E0%B2%AC%E0%B2%BF%E0%B2%82%E0%B2%A6%E0%B3%81" title="ಲಗ್ರಾಂಜನ ಬಿಂದು – каннада" lang="kn" hreflang="kn" data-title="ಲಗ್ರಾಂಜನ ಬಿಂದು" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%9D%BC%EA%B7%B8%EB%9E%91%EC%A3%BC_%EC%A0%90" title="라그랑주 점 – корейски" lang="ko" hreflang="ko" data-title="라그랑주 점" data-language-autonym="한국어" data-language-local-name="корейски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Lagran%C5%BEo_ta%C5%A1kas" title="Lagranžo taškas – литовски" lang="lt" hreflang="lt" data-title="Lagranžo taškas" data-language-autonym="Lietuvių" data-language-local-name="литовски" 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/Lagran%C5%BEa_punkti" title="Lagranža punkti – латвийски" lang="lv" hreflang="lv" data-title="Lagranža punkti" data-language-autonym="Latviešu" data-language-local-name="латвийски" 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%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6%D0%BE%D0%B2%D0%B0_%D1%82%D0%BE%D1%87%D0%BA%D0%B0" title="Лагранжова точка – македонски" lang="mk" hreflang="mk" data-title="Лагранжова точка" data-language-autonym="Македонски" data-language-local-name="македонски" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B2%E0%B4%97%E0%B5%8D%E0%B4%B0%E0%B4%BE%E0%B5%BB%E0%B4%B7%E0%B5%86_%E0%B4%AA%E0%B5%8B%E0%B4%AF%E0%B4%A8%E0%B5%8D%E0%B4%B1%E0%B5%8D" title="ലഗ്രാൻഷെ പോയന്റ് – малаялам" lang="ml" hreflang="ml" data-title="ലഗ്രാൻഷെ പോയന്റ്" data-language-autonym="മലയാളം" data-language-local-name="малаялам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Titik_Lagrange" title="Titik Lagrange – малайски" lang="ms" hreflang="ms" data-title="Titik Lagrange" data-language-autonym="Bahasa Melayu" data-language-local-name="малайски" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Lagrangepunt" title="Lagrangepunt – нидерландски" lang="nl" hreflang="nl" data-title="Lagrangepunt" data-language-autonym="Nederlands" data-language-local-name="нидерландски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Lagrange-punkt" title="Lagrange-punkt – норвежки (букмол)" lang="nb" hreflang="nb" data-title="Lagrange-punkt" data-language-autonym="Norsk bokmål" data-language-local-name="норвежки (букмол)" 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/Ponchs_de_Lagrange" title="Ponchs de Lagrange – окситански" lang="oc" hreflang="oc" data-title="Ponchs de Lagrange" data-language-autonym="Occitan" data-language-local-name="окситански" 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/Punkt_libracyjny" title="Punkt libracyjny – полски" lang="pl" hreflang="pl" data-title="Punkt libracyjny" data-language-autonym="Polski" data-language-local-name="полски" 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/Pontos_de_Lagrange" title="Pontos de Lagrange – португалски" lang="pt" hreflang="pt" data-title="Pontos de Lagrange" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Punct_Lagrange" title="Punct Lagrange – румънски" lang="ro" hreflang="ro" data-title="Punct Lagrange" data-language-autonym="Română" data-language-local-name="румънски" 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%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6%D0%B0" title="Точки Лагранжа – руски" lang="ru" hreflang="ru" data-title="Точки Лагранжа" data-language-autonym="Русский" data-language-local-name="руски" 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/Punti_di_Lagrange" title="Punti di Lagrange – сицилиански" lang="scn" hreflang="scn" data-title="Punti di Lagrange" data-language-autonym="Sicilianu" data-language-local-name="сицилиански" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Lagrangian_pynt" title="Lagrangian pynt – шотландски" lang="sco" hreflang="sco" data-title="Lagrangian pynt" data-language-autonym="Scots" data-language-local-name="шотландски" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Lagrangeova_to%C4%8Dka" title="Lagrangeova točka – сърбохърватски" lang="sh" hreflang="sh" data-title="Lagrangeova točka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сърбохърватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Lagrange_point" title="Lagrange point – Simple English" lang="en-simple" hreflang="en-simple" data-title="Lagrange point" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Libra%C4%8Dn%C3%BD_bod" title="Libračný bod – словашки" lang="sk" hreflang="sk" data-title="Libračný bod" data-language-autonym="Slovenčina" data-language-local-name="словашки" 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/Lagrangeeva_to%C4%8Dka" title="Lagrangeeva točka – словенски" lang="sl" hreflang="sl" data-title="Lagrangeeva točka" data-language-autonym="Slovenščina" data-language-local-name="словенски" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6%D0%BE%D0%B2%D0%B0_%D1%82%D0%B0%D1%87%D0%BA%D0%B0" title="Лагранжова тачка – сръбски" lang="sr" hreflang="sr" data-title="Лагранжова тачка" data-language-autonym="Српски / srpski" data-language-local-name="сръбски" 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/Lagrangepunkt" title="Lagrangepunkt – шведски" lang="sv" hreflang="sv" data-title="Lagrangepunkt" data-language-autonym="Svenska" data-language-local-name="шведски" 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/Nukta_ya_Lagrange" title="Nukta ya Lagrange – суахили" lang="sw" hreflang="sw" data-title="Nukta ya Lagrange" data-language-autonym="Kiswahili" data-language-local-name="суахили" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B2%E0%AF%86%E0%AE%95%E0%AF%8D%E0%AE%B0%E0%AE%BE%E0%AE%9E%E0%AF%8D%E0%AE%9A%E0%AE%BF%E0%AE%AF%E0%AE%AA%E0%AF%8D_%E0%AE%AA%E0%AF%81%E0%AE%B3%E0%AF%8D%E0%AE%B3%E0%AE%BF" title="லெக்ராஞ்சியப் புள்ளி – тамилски" lang="ta" hreflang="ta" data-title="லெக்ராஞ்சியப் புள்ளி" data-language-autonym="தமிழ்" data-language-local-name="тамилски" 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%B2%E0%B0%BE%E0%B0%97%E0%B1%8D%E0%B0%B0%E0%B0%BE%E0%B0%82%E0%B0%9C%E0%B0%BF%E0%B0%AF%E0%B0%A8%E0%B1%8D_%E0%B0%AC%E0%B0%BF%E0%B0%82%E0%B0%A6%E0%B1%81%E0%B0%B5%E0%B1%81" title="లాగ్రాంజియన్ బిందువు – телугу" lang="te" hreflang="te" data-title="లాగ్రాంజియన్ బిందువు" data-language-autonym="తెలుగు" data-language-local-name="телугу" 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%88%E0%B8%B8%E0%B8%94%E0%B8%A5%E0%B8%B2%E0%B8%81%E0%B8%A3%E0%B9%87%E0%B8%AD%E0%B8%87%E0%B8%8C%E0%B9%8C" title="จุดลากร็องฌ์ – тайски" lang="th" hreflang="th" data-title="จุดลากร็องฌ์" data-language-autonym="ไทย" data-language-local-name="тайски" 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/Lagrange_noktas%C4%B1" title="Lagrange noktası – турски" lang="tr" hreflang="tr" data-title="Lagrange noktası" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6_%D0%BD%D0%BE%D0%BA%D1%82%D0%B0%D0%BB%D0%B0%D1%80%D1%8B" title="Лагранж нокталары – татарски" lang="tt" hreflang="tt" data-title="Лагранж нокталары" data-language-autonym="Татарча / tatarça" data-language-local-name="татарски" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6%D0%B0" title="Точки Лагранжа – украински" lang="uk" hreflang="uk" data-title="Точки Лагранжа" data-language-autonym="Українська" data-language-local-name="украински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%84%DB%8C%DA%AF%D8%B1%D8%A7%D9%86%D8%AC_%D9%BE%D9%88%D8%A7%D8%A6%D9%86%D9%B9" title="لیگرانج پوائنٹ – урду" lang="ur" hreflang="ur" data-title="لیگرانج پوائنٹ" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Lagranj_nuqtasi" title="Lagranj nuqtasi – узбекски" lang="uz" hreflang="uz" data-title="Lagranj nuqtasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекски" 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/%C4%90i%E1%BB%83m_Lagrange" title="Điểm Lagrange – виетнамски" lang="vi" hreflang="vi" data-title="Điểm Lagrange" data-language-autonym="Tiếng Việt" data-language-local-name="виетнамски" 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/%E6%8B%89%E6%A0%BC%E6%9C%97%E6%97%A5%E7%82%B9" title="拉格朗日点 – ву китайски" lang="wuu" hreflang="wuu" data-title="拉格朗日点" data-language-autonym="吴语" data-language-local-name="ву китайски" 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/%E6%8B%89%E6%A0%BC%E6%9C%97%E6%97%A5%E7%82%B9" title="拉格朗日点 – китайски" lang="zh" hreflang="zh" data-title="拉格朗日点" data-language-autonym="中文" data-language-local-name="китайски" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Lagrange_ti%C3%A1m" title="Lagrange tiám – Minnan" lang="nan" hreflang="nan" data-title="Lagrange tiám" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%8B%89%E6%A0%BC%E6%9C%97%E6%97%A5%E9%BB%9E" title="拉格朗日點 – кантонски" lang="yue" hreflang="yue" data-title="拉格朗日點" data-language-autonym="粵語" data-language-local-name="кантонски" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q190463#sitelinks-wikipedia" title="Редактиране на междуезиковите препратки" class="wbc-editpage">Редактиране</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Именни пространства"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" title="Преглед на 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lang="bg" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Lagrange_points2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Lagrange_points2.svg/220px-Lagrange_points2.svg.png" decoding="async" width="220" height="187" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Lagrange_points2.svg/330px-Lagrange_points2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Lagrange_points2.svg/440px-Lagrange_points2.svg.png 2x" data-file-width="1083" data-file-height="923" /></a><figcaption>Контур на потенциала за комбинация от гравитационни и центробежни сили. Оцветените стрелки указват градиент към точките (червено) или обратно (син).</figcaption></figure> <p><b>Точките на Лагранж</b> в класическата <a href="/wiki/%D0%9D%D0%B5%D0%B1%D0%B5%D1%81%D0%BD%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0" title="Небесна механика">небесна механика</a> задават частен случай на устойчиво разположение за три тела. Първите три точки са посочени от <a href="/wiki/%D0%9B%D0%B5%D0%BE%D0%BD%D0%B0%D1%80%D0%B4_%D0%9E%D0%B9%D0%BB%D0%B5%D1%80" title="Леонард Ойлер">Леонард Ойлер</a>, а малко по-късно <a href="/wiki/%D0%96%D0%BE%D0%B7%D0%B5%D1%84_%D0%9B%D1%83%D0%B8_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6" class="mw-redirect" title="Жозеф Луи Лагранж">Лагранж</a> прави изчерпателен анализ, добавяйки още две.<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> </p><p>Математически те са решения на частен случай на задачата за трите тела, като две от тях са много по-масивни от третото и орбитират около общ <a href="/wiki/%D0%91%D0%B0%D1%80%D0%B8%D1%86%D0%B5%D0%BD%D1%82%D1%8A%D1%80" class="mw-redirect" title="Барицентър">барицентър</a>. Решаваната задача предполага, че две от телата са значително по-масивни от третото, тъй като орбиталното движение за две тела е било добре изучено и се предполага, че добавянето на трето го повлиява пренебрижимо. </p><p>Обикновено двете масивни тела упражняват небалансирана гравитационна сила в дадена точка, променяйки орбитата на всичко, което се намира в тази точка. В точките на Лагранж гравитационните сили на двете големи тела и центробежната сила се балансират взаимно. За всяка комбинация от две орбитални тела има пет точки на Лагранж, L1 до L5, всички в орбиталната равнина на двете големи тела. L1, L2 и L3 са на линията през центровете на двете големи тела, докато L4 и L5 действат като трети връх на равностранен триъгълник, образуван от центровете на двете големи тела. </p><p>Някои точки на Лагранж се използват за изследване на Космоса. Понастоящем изкуственият спътник Deep Space Climate Observatory (DSCOVR) се намира в L1, за да изучава слънчевия вятър, идващ към Земята, и да наблюдава климата на Земята. Космическият телескоп James Webb се намира на L2, като това намалява количеството слънчева светлина и топлина, пречещи на работата на телескопа. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="История"><span id=".D0.98.D1.81.D1.82.D0.BE.D1.80.D0.B8.D1.8F"></span>История</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=1" title="Редактиране на раздел: История" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=1" title="Edit section's source code: История"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Трите колинеарни точки на Лагранж, лежащи по оста на центровете на двете масивни тела (L1, L2, L3) са открити от Леонард Ойлер през 50-те години на 18 век. Близо десетилетие по-късно Джоузеф-Луи Лагранж открива останалите две. През 1772 г. Лагранж публикува „Есе върху проблема с трите тела“.  В първа глава той разглежда общия проблем с трите тела; във втора глава, демонстрира две специални решения с постоянен модел - колинеарното и равностранното, за три масивни тела, с кръгови орбити. </p> <div class="mw-heading mw-heading2"><h2 id="Теорема"><span id=".D0.A2.D0.B5.D0.BE.D1.80.D0.B5.D0.BC.D0.B0"></span>Теорема</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=2" title="Редактиране на раздел: Теорема" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=2" title="Edit section's source code: Теорема"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Lagrange_very_massive.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Lagrange_very_massive.svg/350px-Lagrange_very_massive.svg.png" decoding="async" width="350" height="280" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Lagrange_very_massive.svg/525px-Lagrange_very_massive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Lagrange_very_massive.svg/700px-Lagrange_very_massive.svg.png 2x" data-file-width="500" data-file-height="400" /></a><figcaption><b>L<sub>1</sub> – L<sub>5</sub></b>: Точки на Лагранж</figcaption></figure> <p>Разглеждайки движението на <a href="/wiki/%D0%95%D0%BB%D0%B5%D0%BC%D0%B5%D0%BD%D1%82%D0%B0%D1%80%D0%BD%D0%B0_%D1%87%D0%B0%D1%81%D1%82%D0%B8%D1%86%D0%B0" title="Елементарна частица">частици</a> с <a href="/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса">нулева маса</a> под въздействието на привличане от две <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D1%80%D0%B8%D0%B0%D0%BB%D0%BD%D0%B0_%D1%82%D0%BE%D1%87%D0%BA%D0%B0" title="Материална точка">материални тела</a>, описващи кръгови <a href="/wiki/%D0%9E%D1%80%D0%B1%D0%B8%D1%82%D0%B0" title="Орбита">орбити</a> около една обща централна <a href="/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса">маса</a>, Лагранж установил, че съществуват <b>пет непроменящи се <a href="/wiki/%D0%A2%D0%BE%D1%87%D0%BA%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Точка (геометрия)">точки</a></b>, независими от движението на системата<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>. В случай на попадане на частица с нулева маса в някоя от тези <a href="/wiki/%D0%A2%D0%BE%D1%87%D0%BA%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Точка (геометрия)">точки</a>, тя се оказва в равновесно състояние спрямо движещата се система, като периодите на обръщане на нейната орбита съвпадат помежду си и по отношение на останалите тела тя се намира в едно и също положение. Това се случва, защото комбинираните гравитационни сили на двете масивни тела осигуряват точната центростремителна сила, необходима за поддържане на кръговото движение, което съответства на тяхното орбитално движение. </p><p>Всички точки в тази система са разположени в плоскостта на орбитата на масивните тела, като първите три са нестабилни, а вторите две са стабилни. Трите нестабилни точки са разположени в една линия, преминаваща през всяко от масивните тела М<sub>1</sub> и М<sub>2</sub>. Точките L<sub>3</sub> и L<sub>2</sub>, се намират от двете срещуположни страни на телата М<sub>1</sub> и М<sub>2</sub>, като L<sub>3</sub> се намира от външната страна на по-масивното тяло М<sub>1</sub>, L<sub>2</sub> – от външната страна на по-малкото тяло М<sub>2</sub>, а точка L<sub>1</sub> се намира между тях, по-близо до тялото на М<sub>2</sub>. </p><p>Ако обектът е директно между Земята и Слънцето, тогава гравитацията на Земята противодейства на част от привличането на Слънцето върху обекта, увеличавайки орбиталния период на обекта. Колкото по-близо до Земята е обектът, толкова по-голям е този ефект. В точката L1 орбиталният период на обекта става точно равен на орбиталния период на Земята. L1 е на около 1,5 милиона километра (0,01 au) от Земята по посока на Слънцето. </p><p>Ако едно тяло е по-далеч от Земята спрямо Слънцето, орбиталният му период обикновено би бил по-голям от този на Земята. Допълнителното привличане на земната гравитация намалява орбиталния период на обекта и в точката L2 този орбитален период става равен на този на Земята. Подобно на L1, L2 е на около 1,5 милиона километра или 0,01 au от Земята (в посока противоположна на Слънцето). </p><p>Разстоянието от центъра на масата на системата до тези три точки се изчислява по следната формула: </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 r_{1}=R\left[1-\left({\frac {\alpha }{3}}\right)^{1/3}\right]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mi>R</mi> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>α</mi> <mn>3</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>3</mn> </mrow> </msup> </mrow> <mo>]</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{1}=R\left[1-\left({\frac {\alpha }{3}}\right)^{1/3}\right]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7587436fd1a5fc935944629073baa26aed2c4d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:21.608ex; height:6.176ex;" alt="{\displaystyle r_{1}=R\left[1-\left({\frac {\alpha }{3}}\right)^{1/3}\right]}"></span></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 r_{2}=R\left[1+\left({\frac {\alpha }{3}}\right)^{1/3}\right]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>R</mi> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>α</mi> <mn>3</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>3</mn> </mrow> </msup> </mrow> <mo>]</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{2}=R\left[1+\left({\frac {\alpha }{3}}\right)^{1/3}\right]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c35ac584f242615fcadf33774a3cfaa39e63f6fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:21.608ex; height:6.176ex;" alt="{\displaystyle r_{2}=R\left[1+\left({\frac {\alpha }{3}}\right)^{1/3}\right]}"></span></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 r_{3}=-R\left[1-{\frac {5}{12}}\alpha \right]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mi>R</mi> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>5</mn> <mn>12</mn> </mfrac> </mrow> <mi>α</mi> </mrow> <mo>]</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{3}=-R\left[1-{\frac {5}{12}}\alpha \right]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d74a6982a6c78625853bdb54d7d3b8363496ea40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:20.267ex; height:6.176ex;" alt="{\displaystyle r_{3}=-R\left[1-{\frac {5}{12}}\alpha \right]}"></span></dd></dl> <p>където </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 \alpha ={\frac {M_{2}}{M_{1}+M_{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <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> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha ={\frac {M_{2}}{M_{1}+M_{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13e5d3e44458232abd39dd03e78a9c0226062c7b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:14.879ex; height:5.509ex;" alt="{\displaystyle \alpha ={\frac {M_{2}}{M_{1}+M_{2}}}}"></span>,</dd> <dd><i>R</i> – разстояние между телата,</dd> <dd><i>M</i><sub>1</sub> – маса на по-масивното тяло,</dd> <dd><i>M</i><sub>2</sub> – маса на второто тяло.</dd></dl> <p>Ако <i>M</i><sub>2</sub> е много по-малко от <i>M</i><sub>1</sub>, точките L<sub>1</sub> и L<sub>2</sub> ще се намират на примерно равно разстояние от тялото M<sub>2</sub>: </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 r\approx R{\sqrt[{3}]{\frac {M_{2}}{3M_{1}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>≈</mo> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mroot> <mfrac> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mrow> <mn>3</mn> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </mroot> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r\approx R{\sqrt[{3}]{\frac {M_{2}}{3M_{1}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1175643479ba922598c78a6d4dfcf7fff160bfe7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:13.542ex; height:7.509ex;" alt="{\displaystyle r\approx R{\sqrt[{3}]{\frac {M_{2}}{3M_{1}}}}}"></span></dd></dl> <p>Другите две точки L<sub>4</sub> и L<sub>5</sub> са разположени на върха на равностранни триъгълници с основа, съвпадаща с разстоянието между двете масивни тела. Ако се приеме, че масата на едно от телата е многократно по-голяма от тази на второто, точките L<sub>4</sub> и L<sub>5</sub> са разположени по орбитата на по-малкото тяло М<sub>2</sub>, изместени на 60° напред и назад, образувайки равностранни триъгълници. </p> <div class="mw-heading mw-heading2"><h2 id="Теория"><span id=".D0.A2.D0.B5.D0.BE.D1.80.D0.B8.D1.8F"></span>Теория</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=3" title="Редактиране на раздел: Теория" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=3" title="Edit section's source code: Теория"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:L4_diagram.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/L4_diagram.svg/200px-L4_diagram.svg.png" decoding="async" width="200" height="176" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/L4_diagram.svg/300px-L4_diagram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/78/L4_diagram.svg/400px-L4_diagram.svg.png 2x" data-file-width="403" data-file-height="354" /></a><figcaption>Гравитационните сили на L<sub>4</sub></figcaption></figure> <p>През <a href="/wiki/1772" title="1772">1772</a> г., използвайки своите математически изчисления, Лагранж предсказал местоположението на откритите едва през <a href="/wiki/1906" title="1906">1906</a> г. <a href="/wiki/%D0%A2%D1%80%D0%BE%D1%8F%D0%BD%D1%81%D0%BA%D0%B8_%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%BE%D0%B8%D0%B4%D0%B8" title="Троянски астероиди">Троянски астероиди</a>, които наистина попадат в точките L<sub>4</sub> и L<sub>5</sub> от системата <a href="/wiki/%D0%A1%D0%BB%D1%8A%D0%BD%D1%86%D0%B5" title="Слънце">Слънце</a> – <a href="/wiki/%D0%AE%D0%BF%D0%B8%D1%82%D0%B5%D1%80_(%D0%BF%D0%BB%D0%B0%D0%BD%D0%B5%D1%82%D0%B0)" title="Юпитер (планета)">Юпитер</a>. Към 02 април 2024 година в двете групи са открити общо 13280 троянски астероиди на Юпитер<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>. Някои от тях са наречени с имената на героите от Троянския епос: Ахил, Хектор, Нестор, Агамнемон, Одисей, Аякс, Антилох, Диомед, Менелай и др. се движат на 60° отпред, а Патрокъл, Приам, Еней, Скамандър и др. са на 60° отзад на така представената система. </p><p>В по-широк смисъл под <a href="/wiki/%D0%A2%D1%80%D0%BE%D1%8F%D0%BD%D1%81%D0%BA%D0%B8_%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%BE%D0%B8%D0%B4%D0%B8" title="Троянски астероиди">Троянски астероиди</a> се разбират астероиди, които се намират в точките на Лагранж L<sub>4</sub> и L<sub>5</sub> на която и да е планета, дори и на спътник на голяма планета. </p> <div class="mw-heading mw-heading2"><h2 id="Използване_от_човека"><span id=".D0.98.D0.B7.D0.BF.D0.BE.D0.BB.D0.B7.D0.B2.D0.B0.D0.BD.D0.B5_.D0.BE.D1.82_.D1.87.D0.BE.D0.B2.D0.B5.D0.BA.D0.B0"></span>Използване от човека</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=4" title="Редактиране на раздел: Използване от човека" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=4" title="Edit section's source code: Използване от човека"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>В точката L<sub>1</sub> на <a href="/wiki/%D0%97%D0%B5%D0%BC%D1%8F" title="Земя">Земята</a> е разположена космическата обсерватория <a href="/wiki/%D0%A1%D0%9E%D0%A5%D0%9E_(%D0%BA%D0%BE%D1%81%D0%BC%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8_%D0%B0%D0%BF%D0%B0%D1%80%D0%B0%D1%82)" title="СОХО (космически апарат)">СОХО</a> за изследване на <a href="/wiki/%D0%A1%D0%BB%D1%8A%D0%BD%D1%86%D0%B5" title="Слънце">Слънцето</a>.</li> <li>В точката L<sub>2</sub> на Земята е разположен космическият телескоп <a href="/wiki/%D0%94%D0%B6%D0%B5%D0%B9%D0%BC%D1%81_%D0%A3%D0%B5%D0%B1_(%D1%82%D0%B5%D0%BB%D0%B5%D1%81%D0%BA%D0%BE%D0%BF)" title="Джеймс Уеб (телескоп)">Джеймс Уеб</a> за изследване на далечния космос, предимно в <a href="/wiki/%D0%98%D0%BD%D1%84%D1%80%D0%B0%D1%87%D0%B5%D1%80%D0%B2%D0%B5%D0%BD%D0%BE_%D0%B8%D0%B7%D0%BB%D1%8A%D1%87%D0%B2%D0%B0%D0%BD%D0%B5" title="Инфрачервено излъчване">инфрачервения спектър</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Вижте_също"><span id=".D0.92.D0.B8.D0.B6.D1.82.D0.B5_.D1.81.D1.8A.D1.89.D0.BE"></span>Вижте също</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=5" title="Редактиране на раздел: Вижте също" 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href="/w/index.php?title=%D0%A2%D1%80%D0%BE%D1%8F%D0%BD%D1%81%D0%BA%D0%B8_%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%BE%D0%B8%D0%B4%D0%B8_%D0%BD%D0%B0_%D0%9C%D0%B0%D1%80%D1%81&action=edit&redlink=1" class="new" title="Троянски астероиди на Марс (страницата не съществува)">Троянски астероиди на Марс</a> – 16</li> <li><a href="/w/index.php?title=%D0%A2%D1%80%D0%BE%D1%8F%D0%BD%D1%81%D0%BA%D0%B8_%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%BE%D0%B8%D0%B4%D0%B8_%D0%BD%D0%B0_%D0%AE%D0%BF%D0%B8%D1%82%D0%B5%D1%80&action=edit&redlink=1" class="new" title="Троянски астероиди на Юпитер (страницата не съществува)">Троянски астероиди на Юпитер</a> – 13280</li> <li><a href="/w/index.php?title=%D0%A2%D1%80%D0%BE%D1%8F%D0%BD%D1%81%D0%BA%D0%B8_%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%BE%D0%B8%D0%B4%D0%B8_%D0%BD%D0%B0_%D0%A1%D0%B0%D1%82%D1%83%D1%80%D0%BD&action=edit&redlink=1" class="new" title="Троянски астероиди на Сатурн (страницата не съществува)">Троянски астероиди на Сатурн</a></li> <li><a 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href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=6" title="Редактиране на раздел: В киното и фантастиката" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=6" title="Edit section's source code: В киното и фантастиката"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i>Точката на Лагранж</i> – <a href="/wiki/%D0%9B%D1%8E%D0%B1%D0%B5%D0%BD_%D0%94%D0%B8%D0%BB%D0%BE%D0%B2" title="Любен Дилов">Любен Дилов</a> – „Хумористични фантастични новели“. изд. Български писател 1983 г.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Бележки"><span id=".D0.91.D0.B5.D0.BB.D0.B5.D0.B6.D0.BA.D0.B8"></span>Бележки</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&veaction=edit&section=7" title="Редактиране на раздел: Бележки" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A2%D0%BE%D1%87%D0%BA%D0%B8_%D0%BD%D0%B0_%D0%9B%D0%B0%D0%B3%D1%80%D0%B0%D0%BD%D0%B6&action=edit&section=7" title="Edit section's source code: Бележки"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Euler, Leonhard (1765). <i>De motu rectilineo trium corporum se mutuo attrahentium</i> (PDF). Lagrange, Joseph-Louis (1867 – 92). „Tome 6, Chapitre II: Essai sur le problème des trois corps“. Œuvres de Lagrange (in French). Gauthier-Villars. pp. 229 – 334.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://map.gsfc.nasa.gov/mission/observatory_l2.html">The Lagrange Points</a></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.minorplanetcenter.org/iau/lists/Trojans.html">Trojan Minor Planets</a></span> </li> </ol></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Взето от „<a dir="ltr" href="https://bg.wikipedia.org/w/index.php?title=Точки_на_Лагранж&oldid=12418479">https://bg.wikipedia.org/w/index.php?title=Точки_на_Лагранж&oldid=12418479</a>“.</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8" title="Специални:Категории">Категория</a>: <ul><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%9D%D0%B5%D0%B1%D0%B5%D1%81%D0%BD%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0" title="Категория:Небесна механика">Небесна механика</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Последната промяна на страницата е извършена на 21 ноември 2024 г. в 07:39 ч.</li> <li id="footer-info-copyright">Текстът е достъпен под лиценза <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.bg">Creative Commons Признание-Споделяне на споделеното</a>; може да са приложени допълнителни условия. 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