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Dubhe (Alpha Ursae Majoris): Star Type, Name, Location, Constellation | Star Facts
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tag-whirlpool-galaxy"><div class="entry-header" ><div class="nv-title-meta-wrap"><h1 class="title entry-title">Dubhe</h1><ul class="nv-meta-list"><li class="meta author vcard "><span class="author-name fn">by <a href="https://www.star-facts.com/author/admin/" title="Posts by admin" rel="author">admin</a></span></li><li class="meta date posted-on "><time class="entry-date published" datetime="2019-09-10T02:15:39+00:00" content="2019-09-10">2019-09-10</time><time class="updated" datetime="2024-04-24T00:12:04+00:00">2024-04-24</time></li></ul></div></div><div class="nv-content-wrap entry-content"><p>Dubhe, Alpha Ursae Majoris (α UMa) is a spectroscopic binary star with an apparent magnitude of 1.79, located at an approximate distance of 123 light years from Earth. It is one of the seven bright stars that form the <a href="https://www.constellation-guide.com/big-dipper/">Big Dipper</a>. Dubhe and its Big Dipper neighbour <a href="https://www.star-facts.com/merak/">Merak</a> are known as the <a href="https://www.constellation-guide.com/pointer-stars/">Pointer Stars</a> because they are used to find <a href="https://www.star-facts.com/polaris/">Polaris</a>, the North Star.</p><p>Dubhe is the second brightest star in the <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">constellation Ursa Major</a> and the 33rd brightest star in the sky. It shares the 33rd place with <a href="https://www.star-facts.com/mirfak/">Mirfak</a>, Alpha Persei, the brightest star in the <a href="https://www.constellation-guide.com/constellation-list/perseus-constellation/">constellation Perseus</a>. The two stars are only slightly fainter than <a href="https://www.star-facts.com/alioth/">Alioth</a> in Ursa Major, <a href="https://www.star-facts.com/alnitak/">Alnitak</a> in <a href="https://www.constellation-guide.com/constellation-list/orion-constellation/">Orion</a> and <a href="https://www.star-facts.com/alnair/">Alnair</a> in <a href="https://www.constellation-guide.com/constellation-list/grus-constellation/">Grus</a>, and they just outshine <a href="https://www.star-facts.com/regor/">Regor</a> in <a href="https://www.constellation-guide.com/constellation-list/vela-constellation/">Vela</a>, <a href="https://www.star-facts.com/wezen/">Wezen</a> in <a href="https://www.constellation-guide.com/constellation-list/canis-major-constellation/">Canis Major</a> and <a href="https://www.star-facts.com/kaus-australis/">Kaus Australis</a> in <a href="https://www.constellation-guide.com/constellation-list/sagittarius-constellation/">Sagittarius constellation</a>.</p><h2 style="text-align: center;">Star system</h2><p>Dubhe is a spectroscopic binary star system consisting of Alpha Ursae Majoris A and Alpha Ursae Majoris B. The primary star, Alpha UMa A, is an orange giant of the spectral type K0III and the companion, Alpha UMa B, is a white hydrogen-fusing dwarf with the stellar classification F0V. Alpha UMa B has an estimated mass of 1.6 solar masses. It completes an orbit around Alpha UMa A every 44.4 years at an average separation of 23 astronomical units. The primary star has 4.25 solar masses and, with a temperature of 4,660 K, it shines with 316 solar luminosities.</p><div id="attachment_4115" style="width: 510px" class="wp-caption aligncenter"><img fetchpriority="high" decoding="async" aria-describedby="caption-attachment-4115" class="wp-image-4115" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20500%20375'%3E%3C/svg%3E" alt="dubhe star,alpha ursae majoris" width="500" height="375" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe.webp" /><noscript><img fetchpriority="high" decoding="async" aria-describedby="caption-attachment-4115" class="wp-image-4115" src="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe.webp" alt="dubhe star,alpha ursae majoris" width="500" height="375" /></noscript><p id="caption-attachment-4115" class="wp-caption-text">Dubhe (Alpha Ursae Majoris), image: Wikisky</p></div><p>There is another class F star with a spectroscopic companion at a separation of about 8 arcminutes from Alpha UMa A and B. The 7th magnitude system is sometimes called Alpha Ursae Majoris C, but it is in fact considerably more distant from us than Alpha UMa A and B, and catalogued separately as HD 95638. The system has the spectral classification F8 and an orbital period of about 6 days.</p><h2 style="text-align: center;">Facts</h2><p>Dubhe is the coolest (4,660 K) and most distant of the <a href="https://www.constellation-guide.com/big-dipper/">Big Dipper stars</a>. It lies at a distance of 123 light years, while most other stars are about 80 light years distant. It is the second most luminous of the seven stars. Only <a href="https://www.star-facts.com/alkaid/">Alkaid</a>, Eta Ursae Majoris, has a greater energy output.</p><p>Dubhe is a suspected variable star. Its brightness has been reported to change by a thousandth of a magnitude.</p><p>Five Dipper stars – <a href="https://www.star-facts.com/mizar/">Mizar</a>, <a href="https://www.star-facts.com/alioth/">Alioth</a>, <a href="https://www.star-facts.com/merak/">Merak</a>, <a href="https://www.star-facts.com/phecda/">Phecda</a> and <a href="https://www.star-facts.com/megrez/">Megrez</a> – are all class A stars with an estimated age of around 300 million years. They belong to the Ursa Major Moving Group, a group of stars that were formed in the same molecular cloud and share common velocities and motion through space. Dubhe and <a href="https://www.star-facts.com/alkaid/">Alkaid</a>, the easternmost star of the Big Dipper, do not share a common origin with the other stars nor do they have the same proper motion. As a result, the Big Dipper asterism will not stay the same over time and it will eventually dissipate.</p><div id="attachment_182" style="width: 650px" class="wp-caption aligncenter"><a href="https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names.jpg"><img decoding="async" aria-describedby="caption-attachment-182" class="wp-image-182" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20640%20286'%3E%3C/svg%3E" alt="" width="640" height="286" data-lazy-srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names.jpg 1279w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-300x134.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-768x343.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-1024x457.jpg 1024w" data-lazy-sizes="(max-width: 640px) 100vw, 640px" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names.jpg" /><noscript><img decoding="async" aria-describedby="caption-attachment-182" class="wp-image-182" src="https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names.jpg" alt="" width="640" height="286" srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names.jpg 1279w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-300x134.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-768x343.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Big-Dipper-star-names-1024x457.jpg 1024w" sizes="(max-width: 640px) 100vw, 640px" /></noscript></a><p id="caption-attachment-182" class="wp-caption-text">Big Dipper stars, image: Wikisky</p></div><p>Dubhe is one of the three <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Ursa Major</a> stars selected for navigation. The other two are <a href="https://www.star-facts.com/alioth/">Alioth</a> and <a href="https://www.star-facts.com/alkaid/">Alkaid</a>. Navigational stars have a special role in the field of celestial navigation and were selected both because they are bright and because they are easy to recognize.</p><p>In spite of not being the brightest star in the constellation Ursa Major, Dubhe has the Bayer designation Alpha Ursae Majoris. This is because German uranographer Johann Bayer assigned Greek letters to the constellation’s bright stars going from west to east, and Dubhe is the westernmost of Ursa Major’s brightest stars.<a href="https://www.star-facts.com/merak/"> Merak</a>, the other Pointer Star, has the designation Beta despite being only the 5th brightest star in the constellation, while <a href="https://www.star-facts.com/alioth/">Alioth</a>, the constellation’s brightest star, has the designation Epsilon Ursae Majoris because it is located further to the east. It is the star in the tail of the <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Great Bear</a> closest to its body, or the star in the handle of the Big Dipper closest to the bowl. With a visual magnitude of 1.77, <a href="https://www.star-facts.com/alioth/">Alioth</a> is only slightly brighter than Dubhe (mag. 1.79).</p><p>In the ancient Arabic-speaking world, the stars of the Big Dipper represented a funeral procession. The stars that form the Dipper’s handle – <a href="https://www.star-facts.com/alkaid/">Alkaid</a>, <a href="https://www.star-facts.com/mizar/">Mizar</a> and <a href="https://www.star-facts.com/alioth/">Alioth</a> – represented mourners, while the stars of the Dipper’s bowl – <a href="https://www.star-facts.com/megrez/">Megrez</a>, <a href="https://www.star-facts.com/phecda/">Phecda</a>, Dubhe and <a href="https://www.star-facts.com/merak/">Merak</a> – represented the coffin. Their slow motion around <a href="https://www.star-facts.com/polaris/">Polaris</a> and the north celestial pole was associated with the slow movement of a funeral procession.</p><p>Dubhe became the official star of the State of Utah in 1996. It was selected as the official state star in Utah’s Centennial year because its light takes about 100 years to reach Earth.</p><h2 style="text-align: center;">Pointer Stars</h2><p>Dubhe and <a href="https://www.star-facts.com/merak/">Merak</a> are known as the <a href="https://www.constellation-guide.com/pointer-stars/">Pointer Stars</a> (or simply the Pointers) because they point the way to <a href="https://www.star-facts.com/polaris/">Polaris</a> and are commonly used to find true north. An imaginary line drawn from <a href="https://www.star-facts.com/merak/">Merak</a> through Dubhe and extended by about five times the distance between the two stars leads directly to the <a href="https://www.star-facts.com/polaris/">North Star</a>. Polaris is the brightest star along this imaginary line.</p><div id="attachment_143" style="width: 650px" class="wp-caption aligncenter"><a href="https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble.jpg"><img decoding="async" aria-describedby="caption-attachment-143" class="wp-image-143" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20640%20432'%3E%3C/svg%3E" alt="polaris location,find polaris" width="640" height="432" data-lazy-srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble.jpg 1280w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-300x203.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-768x518.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-1024x691.jpg 1024w" data-lazy-sizes="(max-width: 640px) 100vw, 640px" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble.jpg" /><noscript><img decoding="async" aria-describedby="caption-attachment-143" class="wp-image-143" src="https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble.jpg" alt="polaris location,find polaris" width="640" height="432" srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble.jpg 1280w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-300x203.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-768x518.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Polaris-Hubble-1024x691.jpg 1024w" sizes="(max-width: 640px) 100vw, 640px" /></noscript></a><p id="caption-attachment-143" class="wp-caption-text">Polaris (Alpha Ursae Minoris) as seen by the Hubble Space Telescope, image: NASA/HST</p></div><p>In the other direction, Dubhe and <a href="https://www.star-facts.com/merak/">Merak</a> point toward <a href="https://www.star-facts.com/regulus/">Regulus</a>, the brightest star in the <a href="https://www.constellation-guide.com/constellation-list/leo-constellation/">constellation Leo</a> and the 21st brightest star in the sky. <a href="https://www.star-facts.com/regulus/">Regulus</a> is easy to identify because it sits at the base of an <a href="https://www.constellation-guide.com/asterisms/">asterism</a> known as the <a href="https://www.constellation-guide.com/the-sickle/">Sickle</a>, which appears as a backward question mark and outlines the head of the celestial lion.</p><div id="attachment_185" style="width: 600px" class="wp-caption aligncenter"><a href="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus.jpg"><img decoding="async" aria-describedby="caption-attachment-185" class="wp-image-185" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20590%20417'%3E%3C/svg%3E" alt="" width="590" height="417" data-lazy-srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus.jpg 662w, https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus-300x212.jpg 300w" data-lazy-sizes="(max-width: 590px) 100vw, 590px" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus.jpg" /><noscript><img decoding="async" aria-describedby="caption-attachment-185" class="wp-image-185" src="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus.jpg" alt="" width="590" height="417" srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus.jpg 662w, https://www.star-facts.com/wp-content/uploads/2019/09/Dubhe-Merak-and-Regulus-300x212.jpg 300w" sizes="(max-width: 590px) 100vw, 590px" /></noscript></a><p id="caption-attachment-185" class="wp-caption-text">Dubhe, Merak and Regulus, image: Wikisky</p></div><h2 style="text-align: center;">Name</h2><p>The name Dubhe (pronunciation /ˈdʌbiː/) comes from the Arabic word <em>dubb</em>, meaning “bear.” It was taken from the phrase <em>żahr ad-dubb al-akbar</em>, which means “the back of the Greater Bear” and indicates Dubhe’s position in <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Ursa Major</a>. The name was officially approved for Alpha Ursae Majoris A by the International Astronomical Union’s (IAU) Working Group on Star Names (WGSN) on June 30, 2016.</p><p>The star’s other traditional name, Ak, means “the eye,” but it has not been as commonly used.</p><p>The Chinese know Dubhe as the First Star of Northern Dipper (北斗一). The name refers to the Chinese Northern Dipper asterism, which is equivalent to the Big Dipper. The star’s other Chinese name is <em>Tiān Shū</em>, the Star of Celestial Pivot (天樞).</p><p>In Hindu mythology, Dubhe is associated with Kratu, one of the Saptarishi (Seven Sages). Kratu was a Prajapati (Vedic deity) and the son of Lord Brahma.</p><h2 style="text-align: center;">Location</h2><p>Dubhe is very easy to find because it is part of the <a href="https://www.constellation-guide.com/big-dipper/">Big Dipper</a>. It is the westernmost star in the asterism, marking the lip of the Big Dipper’s bowl.</p><p>Dubhe can be used to find a pair of famous galaxies in <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Ursa Major</a>. Messier 81, also known as <a href="https://www.messier-objects.com/messier-81-bodes-galaxy/">Bode’s Galaxy</a>, lies some 10 degrees northwest of the star. It can be found by extending an imaginary line from <a href="https://www.star-facts.com/phecda/">Phecda</a> through Dubhe by about the same distance as that between the two stars. The <a href="https://www.messier-objects.com/messier-82-cigar-galaxy/">Cigar Galaxy</a> (Messier 82) lies in the same field of view, only 38 arcminutes from M81.</p><div id="attachment_189" style="width: 650px" class="wp-caption aligncenter"><a href="https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82.jpg"><img decoding="async" aria-describedby="caption-attachment-189" class="wp-image-189" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20640%20326'%3E%3C/svg%3E" alt="" width="640" height="326" data-lazy-srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82.jpg 1117w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-300x153.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-768x391.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-1024x522.jpg 1024w" data-lazy-sizes="(max-width: 640px) 100vw, 640px" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82.jpg" /><noscript><img decoding="async" aria-describedby="caption-attachment-189" class="wp-image-189" src="https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82.jpg" alt="" width="640" height="326" srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82.jpg 1117w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-300x153.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-768x391.jpg 768w, https://www.star-facts.com/wp-content/uploads/2019/09/Phecda-Dubhe-M81-and-M82-1024x522.jpg 1024w" sizes="(max-width: 640px) 100vw, 640px" /></noscript></a><p id="caption-attachment-189" class="wp-caption-text">Phecda, Dubhe, M81 and M82, image: Wikisky</p></div><p>Going in the opposite direction, the spiral galaxy <a href="https://www.messier-objects.com/messier-106/">Messier 106</a> in the constellation <a href="https://www.constellation-guide.com/constellation-list/canes-venatici-constellation/">Canes Venatici</a> can be located by extending a line from Dubhe though <a href="https://www.star-facts.com/phecda/">Phecda</a>, while a line from Dubhe through <a href="https://www.star-facts.com/megrez/">Megrez</a> leads directly to the famous <a href="https://www.messier-objects.com/messier-51-whirlpool-galaxy/">Whirlpool Galaxy</a> (Messier 51), also located in Canes Venatici.</p><div id="attachment_187" style="width: 650px" class="wp-caption aligncenter"><a href="https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106.jpg"><img decoding="async" aria-describedby="caption-attachment-187" class="wp-image-187" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20640%20357'%3E%3C/svg%3E" alt="" width="640" height="357" data-lazy-srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106.jpg 994w, https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106-300x167.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106-768x428.jpg 768w" data-lazy-sizes="(max-width: 640px) 100vw, 640px" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106.jpg" /><noscript><img decoding="async" aria-describedby="caption-attachment-187" class="wp-image-187" src="https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106.jpg" alt="" width="640" height="357" srcset="https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106.jpg 994w, https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106-300x167.jpg 300w, https://www.star-facts.com/wp-content/uploads/2019/09/Megrez-Dubhe-M51-and-M106-768x428.jpg 768w" sizes="(max-width: 640px) 100vw, 640px" /></noscript></a><p id="caption-attachment-187" class="wp-caption-text">Megrez, Dubhe, M51 and M106, image: Wikisky</p></div><p>Dubhe and other stars of the Big Dipper are circumpolar, i.e. they never set, to most northern observers and can be seen at any time of year. The Big Dipper is particularly prominent in the northern hemisphere in the months of spring, when it dominates the evening sky.</p><h2 style="text-align: center;">Constellation</h2><p>Dubhe is located in the constellation Ursa Major, the <a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Great Bear</a>. Best known for the <a href="https://www.constellation-guide.com/big-dipper/">Big Dipper</a> asterism, Ursa Major is the largest northern constellation and the third largest of all <a href="https://www.constellation-guide.com/constellation-list/">88 constellations</a>, after <a href="https://www.constellation-guide.com/constellation-list/hydra-constellation/">Hydra</a> and <a href="https://www.constellation-guide.com/constellation-list/virgo-constellation/">Virgo</a>. It contains a great number of interesting deep sky objects. In addition to <a href="https://www.messier-objects.com/messier-81-bodes-galaxy/">M81</a> and <a href="https://www.messier-objects.com/messier-82-cigar-galaxy/">M82</a>, it is home to the planetary nebula Messier 97, also known as the <a href="https://www.messier-objects.com/messier-97-owl-nebula/">Owl Nebula</a>, the famous <a href="https://www.messier-objects.com/messier-101-pinwheel-galaxy/">Pinwheel Galaxy</a> (Messier 101), and the barred spiral galaxies <a href="https://www.messier-objects.com/messier-108-surfboard-galaxy/">Messier 108</a> and <a href="https://www.messier-objects.com/messier-109/">Messier 109</a>.</p><div id="attachment_4407" style="width: 510px" class="wp-caption aligncenter"><img decoding="async" aria-describedby="caption-attachment-4407" class="wp-image-4407" src="data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20500%20419'%3E%3C/svg%3E" alt="Ursa Major constellation,ursa major,ursa major stars,ursa major star map" width="500" height="419" data-lazy-src="https://www.star-facts.com/wp-content/uploads/2019/09/Ursa-Major-constellation-map.webp" /><noscript><img decoding="async" aria-describedby="caption-attachment-4407" class="wp-image-4407" src="https://www.star-facts.com/wp-content/uploads/2019/09/Ursa-Major-constellation-map.webp" alt="Ursa Major constellation,ursa major,ursa major stars,ursa major star map" width="500" height="419" /></noscript><p id="caption-attachment-4407" class="wp-caption-text">Ursa Major constellation map by IAU and Sky&Telescope magazine</p></div><p>The 10 brightest stars in Ursa Major are <a href="https://www.star-facts.com/alioth/">Alioth</a> (Epsilon UMa, mag. 1.77), Dubhe (Alpha UMa, mag. 1.79), <a href="https://www.star-facts.com/alkaid/">Alkaid</a> (Eta UMa, mag. 1.86), <a href="https://www.star-facts.com/mizar/">Mizar</a> (Zeta UMa, mag. 2.04), <a href="https://www.star-facts.com/merak/">Merak</a> (Beta UMa, mag. 2.37), <a href="https://www.star-facts.com/phecda/">Phecda</a> (Gamma UMa, 2.438), Psi Ursae Majoris (mag. 3.01), Tania Australis (Mu UMa, mag. 3.06), <a href="https://www.star-facts.com/talitha-iota-ursae-majoris/">Talitha</a> (Iota UMa, mag. 3.14), and Theta Ursae Majoris (mag. 3.166).</p><p><strong><u>Dubhe – Alpha Ursae Majoris</u></strong></p><table><tbody><tr><td width="310">Spectral class</td><td width="310">K0III + F0V</td></tr><tr><td width="310">Variable type</td><td width="310">suspected</td></tr><tr><td width="310">U-B colour index</td><td width="310">+0.93</td></tr><tr><td width="310">B-V colour index</td><td width="310">+1.07</td></tr><tr><td width="310">Apparent magnitude</td><td width="310">1.79</td></tr><tr><td width="310">Absolute magnitude</td><td width="310">–1.10 ± 0.04</td></tr><tr><td width="310">Distance</td><td width="310">123 ± 2 light years (37.7 ± 0.7 parsecs)</td></tr><tr><td width="310">Parallax</td><td width="310">26.54 ± 0.48 mas</td></tr><tr><td width="310">Radial velocity</td><td width="310">-9 km/s</td></tr><tr><td width="310">Proper motion</td><td width="310">RA: -134.11 mas/yr</td></tr><tr><td width="310"></td><td width="310">Dec.: -34.70 mas/yr</td></tr><tr><td width="310">Mass (α UMa A, α UMa B)</td><td width="310">4.25 M<sub>☉</sub>, 1.6 M<sub>☉</sub></td></tr><tr><td width="310">Luminosity (α UMa A)</td><td width="310">316 L<sub>☉</sub></td></tr><tr><td width="310">Radius</td><td width="310">30 R<sub>☉ </sub></td></tr><tr><td width="310">Temperature (α UMa A)</td><td width="310">4,660 K</td></tr><tr><td width="310">Rotational velocity (α UMa A)</td><td width="310">2.6 ± 1.0 km/s</td></tr><tr><td width="310">Surface gravity</td><td width="310">2.46 cgs</td></tr><tr><td width="310">Constellation</td><td width="310"><a href="https://www.constellation-guide.com/constellation-list/ursa-major-constellation/">Ursa Major</a></td></tr><tr><td width="310">Right ascension</td><td width="310">11<sup>h</sup> 03<sup>m</sup> 43.67152<sup>s</sup></td></tr><tr><td width="310">Declination</td><td width="310">+61° 45′ 03.7249”</td></tr><tr><td width="310">Designations</td><td width="310">Dubhe, Alpha Ursae Majoris, α UMa, 50 Ursae Majoris, HD 95689, GC 15185, HR 4301, FK5 417, HIP 54061, SAO 15384, BD+62°1161, PPM 17705, WDS J11037+6145AB, CCDM J11037+6145AB, GCRV 6819, IRAS 11006+6201, 2MASS J11034364+6145034, TYC 4146-1274-1 (α UMa A), TYC 4146-1274-2 (α UMa B)</td></tr></tbody></table></div><div class="nv-tags-list"><span>Tags:</span><a href=https://www.star-facts.com/tag/alioth/ title="Alioth" class=alioth rel="tag">Alioth</a><a href=https://www.star-facts.com/tag/alkaid/ title="Alkaid" class=alkaid rel="tag">Alkaid</a><a href=https://www.star-facts.com/tag/alnair/ title="Alnair" class=alnair rel="tag">Alnair</a><a href=https://www.star-facts.com/tag/alnitak/ title="Alnitak" class=alnitak rel="tag">Alnitak</a><a href=https://www.star-facts.com/tag/alpha-persei/ title="Alpha Persei" class=alpha-persei rel="tag">Alpha Persei</a><a href=https://www.star-facts.com/tag/alpha-ursae-majoris/ title="Alpha Ursae Majoris" class=alpha-ursae-majoris rel="tag">Alpha Ursae Majoris</a><a href=https://www.star-facts.com/tag/big-dipper/ title="Big Dipper" class=big-dipper rel="tag">Big Dipper</a><a href=https://www.star-facts.com/tag/bodes-galaxy/ title="Bode's Galaxy" class=bodes-galaxy rel="tag">Bode's Galaxy</a><a href=https://www.star-facts.com/tag/cigar-galaxy/ title="Cigar Galaxy" class=cigar-galaxy rel="tag">Cigar Galaxy</a><a href=https://www.star-facts.com/tag/dubhe/ title="Dubhe" class=dubhe rel="tag">Dubhe</a><a href=https://www.star-facts.com/tag/epsilon-ursae-majoris/ title="Epsilon Ursae Majoris" class=epsilon-ursae-majoris rel="tag">Epsilon Ursae Majoris</a><a href=https://www.star-facts.com/tag/eta-ursae-majoris/ title="Eta Ursae Majoris" class=eta-ursae-majoris rel="tag">Eta Ursae Majoris</a><a href=https://www.star-facts.com/tag/kaus-australis/ title="Kaus Australis" class=kaus-australis rel="tag">Kaus Australis</a><a href=https://www.star-facts.com/tag/megrez/ title="Megrez" class=megrez rel="tag">Megrez</a><a href=https://www.star-facts.com/tag/merak/ title="Merak" class=merak rel="tag">Merak</a><a href=https://www.star-facts.com/tag/messier-106/ title="Messier 106" class=messier-106 rel="tag">Messier 106</a><a href=https://www.star-facts.com/tag/messier-51/ title="Messier 51" class=messier-51 rel="tag">Messier 51</a><a href=https://www.star-facts.com/tag/messier-81/ title="Messier 81" class=messier-81 rel="tag">Messier 81</a><a href=https://www.star-facts.com/tag/messier-82/ title="Messier 82" class=messier-82 rel="tag">Messier 82</a><a href=https://www.star-facts.com/tag/mirfak/ title="Mirfak" class=mirfak rel="tag">Mirfak</a><a href=https://www.star-facts.com/tag/mizar/ title="Mizar" class=mizar rel="tag">Mizar</a><a href=https://www.star-facts.com/tag/north-star/ title="North Star" class=north-star rel="tag">North Star</a><a href=https://www.star-facts.com/tag/phecda/ title="Phecda" class=phecda rel="tag">Phecda</a><a href=https://www.star-facts.com/tag/pointer-stars/ title="Pointer Stars" class=pointer-stars rel="tag">Pointer Stars</a><a href=https://www.star-facts.com/tag/polaris/ title="Polaris" class=polaris rel="tag">Polaris</a><a href=https://www.star-facts.com/tag/regor/ title="Regor" class=regor rel="tag">Regor</a><a href=https://www.star-facts.com/tag/regulus/ title="Regulus" class=regulus rel="tag">Regulus</a><a href=https://www.star-facts.com/tag/the-sickle-of-leo/ title="The Sickle of Leo" class=the-sickle-of-leo rel="tag">The Sickle of Leo</a><a href=https://www.star-facts.com/tag/ursa-major-moving-group/ title="Ursa Major Moving Group" class=ursa-major-moving-group rel="tag">Ursa Major Moving Group</a><a href=https://www.star-facts.com/tag/wezen/ title="Wezen" class=wezen rel="tag">Wezen</a><a href=https://www.star-facts.com/tag/whirlpool-galaxy/ title="Whirlpool Galaxy" class=whirlpool-galaxy rel="tag">Whirlpool Galaxy</a></div><div 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value="1959">Orion Variables</option><option class="level-0" value="1271">Pavo Stars</option><option class="level-0" value="960">Pegasus Stars</option><option class="level-0" value="678">Perseus Stars</option><option class="level-0" value="1528">Phoenix Stars</option><option class="level-0" value="1938">Pisces Stars</option><option class="level-0" value="554">Piscis Austrinus Stars</option><option class="level-0" value="1255">Puppis Stars</option><option class="level-0" value="2012">Recurrent Novae</option><option class="level-0" value="45">Red Supergiants</option><option class="level-0" value="1578">Reticulum Stars</option><option class="level-0" value="633">Rotating Ellipsoidal Variables</option><option class="level-0" value="857">RS Canum Venaticorum Variables</option><option class="level-0" value="1922">Sagitta Stars</option><option class="level-0" value="3">Sagittarius Stars</option><option class="level-0" value="77">Scorpius Stars</option><option class="level-0" value="46">Scutum Stars</option><option class="level-0" value="48">Semiregular Variable Stars</option><option class="level-0" value="1200">Serpens Stars</option><option class="level-0" value="663">Slow Irregular Variables</option><option class="level-0" value="1878">South Pole Stars</option><option class="level-0" value="376">Spectroscopic Binary Stars</option><option class="level-0" value="496">Stars with Planets</option><option class="level-0" value="76">Subgiant Stars</option><option class="level-0" value="47">Supernova Candidates</option><option class="level-0" value="2038">Symbiotic Stars</option><option class="level-0" value="631">Taurus Stars</option><option class="level-0" value="1199">Triangulum Australe Stars</option><option class="level-0" value="2043">Tucana Stars</option><option class="level-0" value="1">Uncategorized</option><option class="level-0" value="330">Ursa Major Stars</option><option class="level-0" value="263">Ursa Minor Stars</option><option class="level-0" value="1447">UV Ceti Variables</option><option class="level-0" value="1268">Vela Stars</option><option class="level-0" value="629">Virgo Stars</option><option class="level-0" value="1357">Vulpecula Stars</option><option class="level-0" value="264">White Dwarfs</option><option class="level-0" value="1862">White Supergiants</option><option class="level-0" value="1682">Wolf-Rayet Stars</option><option class="level-0" value="1906">Yellow Hypergiants</option><option class="level-0" value="298">Yellow Supergiants</option><option class="level-0" value="2041">Z Andromedae Variables</option><option class="level-0" value="2015">ZZ Ceti Variables</option> </select></form><script type="text/javascript">(function() { var dropdown = document.getElementById( "cat" ); function onCatChange() { if ( dropdown.options[ dropdown.selectedIndex ].value > 0 ) { dropdown.parentNode.submit(); } } dropdown.onchange = onCatChange; })();</script> </div><div id="nav_menu-4" class="widget widget_nav_menu"><p class="widget-title">Popular 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decodeURIComponent(i)}return null}_readFromLocalStorage(e){const t=window.localStorage.getItem(e);if(!t)return null;try{const n=JSON.parse(t),s=n.expires&&(new Date).getTime()>new Date(n.expires).getTime();if(n.resetOnRead&&n.expires&&!s){const t=this._resetExpiry(n);var i;return window.localStorage.setItem(e,JSON.stringify(n)),null!=(i=t.value)?i:t}if(s)return window.localStorage.removeItem(e),null;if(!n.value)return n;try{return JSON.parse(n.value)}catch(e){return n.value}}catch(e){return t}}_setCookieValue(e,t,i,n){try{if(this._gdpr&&this._shouldQueue){const n={key:t,value:i,type:e};this._cookieHandlerQueue.push(n)}else{var s;const e=this._getExpiryDate(null!=(s=null==n?void 0:n.expiry)?s:{value:400,unit:"days"});var o;const a=null!=(o=null==n?void 0:n.sameSite)?o:"None";var r;const l=null==(r=null==n?void 0:n.secure)||r,c="object"==typeof i?JSON.stringify(i):i;document.cookie=`${t}=${c}; SameSite=${a}; ${l?"Secure;":""} expires=${e}; path=/`}}catch(e){}}_verifyInternalKey(e){const t=e.startsWith("adthrive_"),i=e.startsWith("adt_");if(!t&&!i&&!_e.includes(e))throw new Error('When reading an internal cookie, the key must start with "adthrive_" or "adt_" or be part of the allowed legacy keys.')}constructor(...e){super(...e),this.name="BrowserStorage",this.disable=!1,this.gdprPurposes=[1],this._sessionStorageHandlerQueue=[],this._localStorageHandlerQueue=[],this._cookieHandlerQueue=[],this._shouldQueue=!1}},ye=e=>null!=e&&!("number"==typeof e&&isNaN(e)),fe=(t,i,n,s,o=!0)=>{const r="adthrive_abgroup",a=ge.readInternalLocalStorage(r);if(null!==a){const e=a[t];var l;const i=null!=(l=a[`${t}_weight`])?l:null;if(ye(e))return[e,i]}const c=e({},a,{[t]:i,[`${t}_weight`]:n});return s?ge.setExpirableInternalLocalStorage(r,c,{expiry:s,resetOnRead:o}):ge.setInternalLocalStorage(r,c),[i,n]},ve=()=>(e,t,i)=>{const n=i.value;n&&(i.value=function(...e){const t=(e=>{if(null===e)return null;const t=e.map((({choice:e})=>e));return(e=>{let t=5381,i=e.length;for(;i;)t=33*t^e.charCodeAt(--i);return t>>>0})(JSON.stringify(t)).toString(16)})(this._choices),i=this._expConfigABGroup?this._expConfigABGroup:this.abgroup,s=i?i.toLowerCase():this.key?this.key.toLowerCase():"",o=t?`${s}_${t}`:s,r=this.localStoragePrefix?`${this.localStoragePrefix}-${o}`:o,a=k.getLocalStorageValue("branch");!1===(a&&a.enabled)&&k.removeLocalStorageValue(r);const l=(()=>n.apply(this,e))(),c=(d=this._choices,h=l,null!=(p=null==(u=d.find((({choice:e})=>e===h)))?void 0:u.weight)?p:null);var d,h,u,p;const[m,_]=fe(r,l,c,{value:24,unit:"hours"});return this._stickyResult=m,this._stickyWeight=_,m})};class Se{get enabled(){return void 0!==this.experimentConfig}_isValidResult(e,t=()=>!0){return t()&&ye(e)}}class be extends Se{_isValidResult(e){return super._isValidResult(e,(()=>this._resultValidator(e)||"control"===e))}run(){if(!this.enabled)return C.error("CLSWeightedChoiceSiteExperiment","run","() => %o","No experiment config found. Defaulting to control."),"control";if(!this._mappedChoices||0===this._mappedChoices.length)return C.error("CLSWeightedChoiceSiteExperiment","run","() => %o","No experiment variants found. Defaulting to control."),"control";const e=new pe(this._mappedChoices).get();return this._isValidResult(e)?e:(C.error("CLSWeightedChoiceSiteExperiment","run","() => %o","Invalid result from experiment choices. Defaulting to control."),"control")}constructor(...e){super(...e),this._resultValidator=()=>!0}}class Ce{getSiteExperimentByKey(e){const t=this.siteExperiments.filter((t=>t.key.toLowerCase()===e.toLowerCase()))[0],i=x("at_site_features"),n=(s=(null==t?void 0:t.variants[1])?null==t?void 0:t.variants[1].value:null==t?void 0:t.variants[0].value,o=i[e],typeof s==typeof o);var s,o;return t&&i[e]&&n&&(t.variants=[{displayName:"test",value:i[e],weight:100,id:0}]),t}constructor(e){var t,i;this.siteExperiments=[],this._clsOptions=e,this._device=E()?"mobile":"desktop",this.siteExperiments=null!=(i=null==(t=this._clsOptions.siteAds.siteExperiments)?void 0:t.filter((e=>{const t=e.key,i=M(e,this._device),n=D(this._clsOptions.siteAds,t,this._device);return i&&n})))?i:[]}}class we extends be{get result(){return this._result}run(){if(!this.enabled)return C.error("CLSAdLayoutSiteExperiment","run","() => %o","No experiment config found. Defaulting to empty class name."),"";const e=new pe(this._mappedChoices).get();return this._isValidResult(e)?e:(C.error("CLSAdLayoutSiteExperiment","run","() => %o","Invalid result from experiment choices. Defaulting to empty class name."),"")}_mapChoices(){return this._choices.map((({weight:e,value:t})=>({weight:e,choice:t})))}constructor(e){super(),this._choices=[],this._mappedChoices=[],this._result="",this._resultValidator=e=>"string"==typeof e,this.key=c.AdLayout,this.abgroup=c.AdLayout,this._clsSiteExperiments=new Ce(e),this.experimentConfig=this._clsSiteExperiments.getSiteExperimentByKey(this.key),this.enabled&&this.experimentConfig&&(this._choices=this.experimentConfig.variants,this._mappedChoices=this._mapChoices(),this._result=this.run(),e.setWeightedChoiceExperiment(this.abgroup,this._result,!0))}}Q([ve(),K("design:type",Function),K("design:paramtypes",[]),K("design:returntype",void 0)],we.prototype,"run",null);class Oe extends be{get result(){return this._result}run(){if(!this.enabled)return C.error("CLSTargetAdDensitySiteExperiment","run","() => %o","No experiment config found. Defaulting to control."),"control";const e=new pe(this._mappedChoices).get();return this._isValidResult(e)?e:(C.error("CLSTargetAdDensitySiteExperiment","run","() => %o","Invalid result from experiment choices. Defaulting to control."),"control")}_mapChoices(){return this._choices.map((({weight:e,value:t})=>({weight:e,choice:"number"==typeof t?(t||0)/100:"control"})))}constructor(e){super(),this._choices=[],this._mappedChoices=[],this._result="control",this._resultValidator=e=>"number"==typeof e,this.key=c.AdDensity,this.abgroup=c.AdDensity,this._clsSiteExperiments=new Ce(e),this.experimentConfig=this._clsSiteExperiments.getSiteExperimentByKey(this.key),this.enabled&&this.experimentConfig&&(this._choices=this.experimentConfig.variants,this._mappedChoices=this._mapChoices(),this._result=this.run(),e.setWeightedChoiceExperiment(this.abgroup,this._result,!0))}}Q([ve(),K("design:type",Function),K("design:paramtypes",[]),K("design:returntype",void 0)],Oe.prototype,"run",null);class xe extends W{get result(){return this._result}run(){return new U(this.weight).get()}constructor(){super(),this._result=!1,this.abgroup="scae",this.key="StickyContainerAds",this._choices=[{choice:!0},{choice:!1}],this.weight=.99,this._result=this.run(),this.setExperimentKey()}}xe=Q([X("StickyContainerAdsExperiment"),K("design:type",Function),K("design:paramtypes",[])],xe);class Ae extends W{get result(){return this._result}run(){return new U(this.weight).get()}constructor(){super(),this._result=!1,this.abgroup="scre",this.key="StickyContainerRecipe",this._choices=[{choice:!0},{choice:!1}],this.weight=.99,this._result=this.run(),this.setExperimentKey()}}Ae=Q([X("StickyContainerRecipeExperiment"),K("design:type",Function),K("design:paramtypes",[])],Ae);const Ee="250px";class Pe{start(){try{var e,t;(e=>{const t=document.body,i=`adthrive-device-${e}`;if(!t.classList.contains(i))try{t.classList.add(i)}catch(e){C.error("BodyDeviceClassComponent","init",{message:e.message});const t="classList"in document.createElement("_");C.error("BodyDeviceClassComponent","init.support",{support:t})}})(this._device);const s=new we(this._clsOptions);if(s.enabled){const e=s.result,t=e.startsWith(".")?e.substring(1):e;if((e=>/^[-_a-zA-Z]+[-_a-zA-Z0-9]*$/.test(e))(t))try{document.body.classList.add(t)}catch(e){C.error("ClsDynamicAdsInjector","start",`Uncaught CSS Class error: ${e}`)}else C.error("ClsDynamicAdsInjector","start",`Invalid class name: ${t}`)}const o=oe(this._device,this._clsOptions.siteAds).filter((e=>this._locationEnabled(e))).filter((e=>{return t=e,i=this._device,t.devices.includes(i);var t,i})).filter((e=>{return 0===(t=e).pageSelector.length||null!==document.querySelector(t.pageSelector);var t})),r=this.inject(o);var i,n;if(null==(t=this._clsOptions.siteAds.adOptions.stickyContainerConfig)||null==(e=t.content)?void 0:e.enabled)if(this._stickyContainerAdsExperiment.result&&!he(this._clsOptions.siteAds.adOptions.stickyContainerConfig.blockedSelectors||[]))de(`\n .adthrive-device-phone .adthrive-sticky-content {\n height: 450px !important;\n margin-bottom: 100px !important;\n }\n .adthrive-content.adthrive-sticky {\n position: -webkit-sticky;\n position: sticky !important;\n top: 42px !important;\n margin-top: 42px !important;\n }\n .adthrive-content.adthrive-sticky:after {\n content: "— Advertisement. Scroll down to continue. —";\n font-size: 10pt;\n margin-top: 5px;\n margin-bottom: 5px;\n display:block;\n color: #888;\n }\n .adthrive-sticky-container {\n position: relative;\n display: flex;\n flex-direction: column;\n justify-content: flex-start;\n align-items: center;\n min-height:${(null==(n=this._clsOptions.siteAds.adOptions.stickyContainerConfig)||null==(i=n.content)?void 0:i.minHeight)||400}px !important;\n margin: 10px 0 10px 0;\n background-color: #FAFAFA;\n padding-bottom:0px;\n }\n `);r.forEach((e=>this._clsOptions.setInjectedSlots(e)))}catch(e){C.error("ClsDynamicAdsInjector","start",e)}}inject(e,t=document){this._densityDevice="desktop"===this._device?h.Desktop:h.Mobile,this._overrideDefaultAdDensitySettingsWithSiteExperiment();const i=this._clsOptions.siteAds,n=w(i.adDensityEnabled,!0),s=i.adDensityLayout&&n,o=e.filter((e=>s?e.location!==d.Content:e)),r=e.filter((e=>s?e.location===d.Content:null));return[...o.length?this._injectNonDensitySlots(o,t):[],...r.length?this._injectDensitySlots(r,t):[]]}_injectNonDensitySlots(e,t=document){var i;const n=[],s=[];if(this._stickyContainerRecipeExperiment.result&&e.some((e=>e.location===d.Recipe&&e.sticky))&&!he((null==(i=this._clsOptions.siteAds.adOptions.stickyContainerConfig)?void 0:i.blockedSelectors)||[])){var o,r;const e=this._clsOptions.siteAds.adOptions.stickyContainerConfig;(e=>{de(`\n .adthrive-recipe.adthrive-sticky {\n position: -webkit-sticky;\n position: sticky !important;\n top: 42px !important;\n margin-top: 42px !important;\n }\n .adthrive-recipe-sticky-container {\n position: relative;\n display: flex;\n flex-direction: column;\n justify-content: flex-start;\n align-items: center;\n min-height:${e||400}px !important;\n margin: 10px 0 10px 0;\n background-color: #FAFAFA;\n padding-bottom:0px;\n }\n `)})("phone"===this._device?null==e||null==(o=e.recipeMobile)?void 0:o.minHeight:null==e||null==(r=e.recipeDesktop)?void 0:r.minHeight)}for(const i of e)this._insertNonDensityAds(i,n,s,t);return s.forEach((({location:e,element:t})=>{t.style.minHeight=this.locationToMinHeight[e]})),n}_injectDensitySlots(e,t=document){try{this._calculateMainContentHeightAndAllElements(e,t)}catch(e){return[]}const{onePerViewport:i,targetAll:n,targetDensityUnits:s,combinedMax:o,numberOfUnits:r}=this._getDensitySettings(e,t);return this._absoluteMinimumSpacingByDevice=i?window.innerHeight:this._absoluteMinimumSpacingByDevice,r?(this._adInjectionMap.filterUsed(),this._findElementsForAds(r,i,n,o,s,t),this._insertAds()):[]}_overrideDefaultAdDensitySettingsWithSiteExperiment(){var e;if(null==(e=this._clsTargetAdDensitySiteExperiment)?void 0:e.enabled){const e=this._clsTargetAdDensitySiteExperiment.result;"number"==typeof e&&(this._clsOptions.siteAds.adDensityEnabled=!0,this._clsOptions.siteAds.adDensityLayout[this._densityDevice].adDensity=e)}}_getDensitySettings(e,t=document){const i=this._clsOptions.siteAds.adDensityLayout,n=this._determineOverrides(i.pageOverrides),s=n.length?n[0]:i[this._densityDevice],o=this._clsOptions.getTargetDensity(s.adDensity),r=s.onePerViewport,a=this._shouldTargetAllEligible(o),l=this._getTargetDensityUnits(o,a),c=this._getCombinedMax(e,t),d=Math.min(this._totalAvailableElements.length,l,...c>0?[c]:[]);return this._pubLog={onePerViewport:r,targetDensity:o,targetDensityUnits:l,combinedMax:c},{onePerViewport:r,targetAll:a,targetDensityUnits:l,combinedMax:c,numberOfUnits:d}}_determineOverrides(e){return e.filter((e=>{const t=R(e.pageSelector);return""===e.pageSelector||t.elements&&t.elements.length})).map((e=>e[this._densityDevice]))}_shouldTargetAllEligible(e){return e===this._densityMax}_getTargetDensityUnits(e,t){return t?this._totalAvailableElements.length:Math.floor(e*this._mainContentHeight/(1-e)/this._minDivHeight)-this._recipeCount}_getCombinedMax(e,t=document){return w(e.filter((e=>{let i;try{i=t.querySelector(e.elementSelector)}catch(e){}return i})).map((e=>Number(e.max)+Number(e.lazyMaxDefaulted?0:e.lazyMax))).sort(((e,t)=>t-e))[0],0)}_elementLargerThanMainContent(e){return e.offsetHeight>=this._mainContentHeight&&this._totalAvailableElements.length>1}_elementDisplayNone(e){const t=window.getComputedStyle(e,null).display;return t&&"none"===t||"none"===e.style.display}_isBelowMaxes(e,t){return this._adInjectionMap.map.length<e&&this._adInjectionMap.map.length<t}_findElementsForAds(e,t,i,n,s,o=document){this._clsOptions.targetDensityLog={onePerViewport:t,combinedMax:n,targetDensityUnits:s,targetDensityPercentage:this._pubLog.targetDensity,mainContentHeight:this._mainContentHeight,recipeCount:this._recipeCount,numberOfEls:this._totalAvailableElements.length};const r=e=>{for(const{dynamicAd:t,element:r}of this._totalAvailableElements)if(this._logDensityInfo(r,t.elementSelector,e),!(!i&&this._elementLargerThanMainContent(r)||this._elementDisplayNone(r))){if(!this._isBelowMaxes(n,s))break;this._checkElementSpacing({dynamicAd:t,element:r,insertEvery:e,targetAll:i,target:o})}!this._usedAbsoluteMinimum&&this._smallerIncrementAttempts<5&&(++this._smallerIncrementAttempts,r(this._getSmallerIncrement(e)))},a=this._getInsertEvery(e,t,s);r(a)}_getSmallerIncrement(e){let t=.6*e;return t<=this._absoluteMinimumSpacingByDevice&&(t=this._absoluteMinimumSpacingByDevice,this._usedAbsoluteMinimum=!0),t}_insertNonDensityAds(e,t,i,n=document){let s=0,o=0,r=0;e.spacing>0&&(s=window.innerHeight*e.spacing,o=s);const a=this._repeatDynamicAds(e),l=this.getElements(e.elementSelector,n);e.skip;for(let c=e.skip;c<l.length&&!(r+1>a.length);c+=e.every){let h=l[c];if(s>0){const{bottom:e}=O(h);if(e<=o)continue;o=e+s}const u=a[r],p=`${u.location}_${u.sequence}`;t.some((e=>e.name===p))&&(r+=1);const m=this.getDynamicElementId(u),_=le(e),g=ce(e),y=[e.location===d.Sidebar&&e.sticky&&e.sequence&&e.sequence<=5?"adthrive-sticky-sidebar":"",this._stickyContainerRecipeExperiment.result&&e.location===d.Recipe&&e.sticky?"adthrive-recipe-sticky-container":"",_,g,...e.classNames],f=this.addAd(h,m,e.position,y);if(f){const s=re(u,f);if(s.length){const o={clsDynamicAd:e,dynamicAd:u,element:f,sizes:s,name:p,infinite:n!==document};t.push(o),i.push({location:u.location,element:f}),e.location===d.Recipe&&++this._recipeCount,r+=1}h=f}}}_insertAds(){const e=[];return this._adInjectionMap.filterUsed(),this._adInjectionMap.map.forEach((({el:t,dynamicAd:i,target:n},s)=>{const o=Number(i.sequence)+s,r=i.max,a=i.lazy&&o>r;i.sequence=o,i.lazy=a;const l=this._addContentAd(t,i,n);l&&(i.used=!0,e.push(l))})),e}_getInsertEvery(e,t,i){let n=this._absoluteMinimumSpacingByDevice;return this._moreAvailableElementsThanUnitsToInject(i,e)?(this._usedAbsoluteMinimum=!1,n=this._useWiderSpacing(i,e)):(this._usedAbsoluteMinimum=!0,n=this._useSmallestSpacing(t)),t&&window.innerHeight>n?window.innerHeight:n}_useWiderSpacing(e,t){return this._mainContentHeight/Math.min(e,t)}_useSmallestSpacing(e){return e&&window.innerHeight>this._absoluteMinimumSpacingByDevice?window.innerHeight:this._absoluteMinimumSpacingByDevice}_moreAvailableElementsThanUnitsToInject(e,t){return this._totalAvailableElements.length>e||this._totalAvailableElements.length>t}_logDensityInfo(e,t,i){const{onePerViewport:n,targetDensity:s,targetDensityUnits:o,combinedMax:r}=this._pubLog;this._totalAvailableElements.length}_checkElementSpacing({dynamicAd:t,element:i,insertEvery:n,targetAll:s,target:o=document}){(this._isFirstAdInjected()||this._hasProperSpacing(i,t,s,n))&&this._markSpotForContentAd(i,e({},t),o)}_isFirstAdInjected(){return!this._adInjectionMap.map.length}_markSpotForContentAd(e,t,i=document){const n="beforebegin"===t.position||"afterbegin"===t.position;this._adInjectionMap.add(e,this._getElementCoords(e,n),t,i),this._adInjectionMap.sort()}_hasProperSpacing(e,t,i,n){const s="beforebegin"===t.position||"afterbegin"===t.position,o="beforeend"===t.position||"afterbegin"===t.position,r=i||this._isElementFarEnoughFromOtherAdElements(e,n,s),a=o||this._isElementNotInRow(e,s),l=-1===e.id.indexOf(`AdThrive_${d.Below_Post}`);return r&&a&&l}_isElementFarEnoughFromOtherAdElements(e,t,i){const n=this._getElementCoords(e,i);let s=!1;for(let e=0;e<this._adInjectionMap.map.length;e++){const i=this._adInjectionMap.map[e].coords,o=this._adInjectionMap.map[e+1]&&this._adInjectionMap.map[e+1].coords;if(s=n-t>i&&(!o||n+t<o),s)break}return s}_isElementNotInRow(e,t){const i=e.previousElementSibling,n=e.nextElementSibling,s=t?!i&&n||i&&e.tagName!==i.tagName?n:i:n;return!(!s||0!==e.getBoundingClientRect().height)||(!s||e.getBoundingClientRect().top!==s.getBoundingClientRect().top)}_calculateMainContentHeightAndAllElements(e,t=document){const[i,n]=((e,t,i=document)=>{const[n,s]=P(e,t,i);if(0===n.length)throw Error("No Main Content Elements Found");return[Array.from(n).reduce(((e,t)=>t.offsetHeight>e.offsetHeight?t:e))||document.body,s]})(e,this._adInjectionMap,t);this._mainContentDiv=i,this._totalAvailableElements=n,this._mainContentHeight=((e,t="div #comments, section .comments")=>{const i=e.querySelector(t);return i?e.offsetHeight-i.offsetHeight:e.offsetHeight})(this._mainContentDiv)}_getElementCoords(e,t=!1){const i=e.getBoundingClientRect();return(t?i.top:i.bottom)+window.scrollY}_addContentAd(e,t,i=document){var n,s;let o=null;const r=le(t),a=ce(t),l=(null==(s=this._clsOptions.siteAds.adOptions.stickyContainerConfig)||null==(n=s.content)?void 0:n.enabled)&&this._stickyContainerAdsExperiment.result?"adthrive-sticky-container":"",c=this.addAd(e,this.getDynamicElementId(t),t.position,[l,r,a,...t.classNames]);if(c){const e=re(t,c);if(e.length){c.style.minHeight=this.locationToMinHeight[t.location];o={clsDynamicAd:t,dynamicAd:t,element:c,sizes:e,name:`${t.location}_${t.sequence}`,infinite:i!==document}}}return o}getDynamicElementId(e){return`AdThrive_${e.location}_${e.sequence}_${this._device}`}getElements(e,t=document){return t.querySelectorAll(e)}addAd(e,t,i,n=[]){if(!document.getElementById(t)){const s=`<div id="${t}" class="adthrive-ad ${n.join(" ")}"></div>`;e.insertAdjacentHTML(i,s)}return document.getElementById(t)}_repeatDynamicAds(t){const i=[],n=this._removeRecipeCapExperiment.result&&t.location===d.Recipe?99:this.locationMaxLazySequence.get(t.location),s=t.lazy?w(n,0):0,o=t.max,r=t.lazyMax,a=0===s&&t.lazy?o+r:Math.min(Math.max(s-t.sequence+1,0),o+r),l=Math.max(o,a);for(let n=0;n<l;n++){const s=Number(t.sequence)+n;if("Recipe_1"!==t.name||5!==s){const r=t.lazy&&n>=o;i.push(e({},t,{sequence:s,lazy:r}))}}return i}_locationEnabled(e){const t=this._clsOptions.enabledLocations.includes(e.location),i=this._clsOptions.disableAds&&this._clsOptions.disableAds.all||document.body.classList.contains("adthrive-disable-all"),n=!document.body.classList.contains("adthrive-disable-content")&&!this._clsOptions.disableAds.reasons.has("content_plugin");return t&&!i&&n}constructor(e,t){this._clsOptions=e,this._adInjectionMap=t,this._recipeCount=0,this._mainContentHeight=0,this._mainContentDiv=null,this._totalAvailableElements=[],this._minDivHeight=250,this._densityDevice=h.Desktop,this._pubLog={onePerViewport:!1,targetDensity:0,targetDensityUnits:0,combinedMax:0},this._densityMax=.99,this._smallerIncrementAttempts=0,this._absoluteMinimumSpacingByDevice=250,this._usedAbsoluteMinimum=!1,this._infPageEndOffset=0,this.locationMaxLazySequence=new Map([[d.Recipe,5]]),this.locationToMinHeight={Below_Post:Ee,Content:Ee,Recipe:Ee,Sidebar:Ee};const{tablet:i,desktop:n}=this._clsOptions.siteAds.breakpoints;this._device=((e,t)=>{const i=window.innerWidth;return i>=t?"desktop":i>=e?"tablet":"phone"})(i,n),this._config=new ae(e),this._clsOptions.enabledLocations=this._config.enabledLocations,this._clsTargetAdDensitySiteExperiment=this._clsOptions.siteAds.siteExperiments?new Oe(this._clsOptions):null,this._stickyContainerAdsExperiment=new xe,this._stickyContainerRecipeExperiment=new Ae,this._removeRecipeCapExperiment=new ue}}function ke(e,t){if(null==e)return{};var i,n,s={},o=Object.keys(e);for(n=0;n<o.length;n++)i=o[n],t.indexOf(i)>=0||(s[i]=e[i]);return s}class De{get enabled(){return!0}}class Ie extends De{setPotentialPlayersMap(){const e=this._videoConfig.players||[],t=this._filterPlayerMap(),i=e.filter((e=>"stationaryRelated"===e.type&&e.enabled));return t.stationaryRelated=i,this._potentialPlayerMap=t,this._potentialPlayerMap}_filterPlayerMap(){const e=this._videoConfig.players,t={stickyRelated:[],stickyPlaylist:[],stationaryRelated:[]};return e&&e.length?e.filter((e=>{var t;return null==(t=e.devices)?void 0:t.includes(this._device)})).reduce(((e,t)=>(e[t.type]||(C.event(this._component,"constructor","Unknown Video Player Type detected",t.type),e[t.type]=[]),t.enabled&&e[t.type].push(t),e)),t):t}_checkPlayerSelectorOnPage(e){const t=this._potentialPlayerMap[e].map((e=>({player:e,playerElement:this._getPlacementElement(e)})));return t.length?t[0]:{player:null,playerElement:null}}_getOverrideElement(e,t,i){if(e&&t){const n=document.createElement("div");t.insertAdjacentElement(e.position,n),i=n}else{const{player:e,playerElement:t}=this._checkPlayerSelectorOnPage("stickyPlaylist");if(e&&t){const n=document.createElement("div");t.insertAdjacentElement(e.position,n),i=n}}return i}_shouldOverrideElement(e){const t=e.getAttribute("override-embed");return"true"===t||"false"===t?"true"===t:!!this._videoConfig.relatedSettings&&this._videoConfig.relatedSettings.overrideEmbedLocation}_checkPageSelector(e,t,i=[]){if(e&&t&&0===i.length){return!("/"===window.location.pathname)&&C.event("VideoUtils","getPlacementElement",new Error(`PSNF: ${e} does not exist on the page`)),!1}return!0}_getElementSelector(e,t,i){return t&&t.length>i?t[i]:(C.event("VideoUtils","getPlacementElement",new Error(`ESNF: ${e} does not exist on the page`)),null)}_getPlacementElement(e){const{pageSelector:t,elementSelector:i,skip:n}=e,s=R(t),{valid:o,elements:r}=s,a=ke(s,["valid","elements"]),l=I(i),{valid:c,elements:d}=l,h=ke(l,["valid","elements"]);if(""!==t&&!o)return C.error("VideoUtils","getPlacementElement",new Error(`${t} is not a valid selector`),a),null;if(!c)return C.error("VideoUtils","getPlacementElement",new Error(`${i} is not a valid selector`),h),null;if(!this._checkPageSelector(t,o,r))return null;return this._getElementSelector(i,d,n)||null}_getEmbeddedPlayerType(e){let t=e.getAttribute("data-player-type");return t&&"default"!==t||(t=this._videoConfig.relatedSettings?this._videoConfig.relatedSettings.defaultPlayerType:"static"),this._stickyRelatedOnPage&&(t="static"),t}_getMediaId(e){const t=e.getAttribute("data-video-id");return!!t&&(this._relatedMediaIds.push(t),t)}_createRelatedPlayer(e,t,i,n){"collapse"===t?this._createCollapsePlayer(e,i):"static"===t&&this._createStaticPlayer(e,i,n)}_createCollapsePlayer(t,i){const{player:n,playerElement:s}=this._checkPlayerSelectorOnPage("stickyRelated"),o=n||this._potentialPlayerMap.stationaryRelated[0];if(o&&o.playerId){this._shouldOverrideElement(i)&&(i=this._getOverrideElement(n,s,i)),i=document.querySelector(`#cls-video-container-${t} > div`)||i,this._createStickyRelatedPlayer(e({},o,{mediaId:t}),i)}else C.error(this._component,"_createCollapsePlayer","No video player found")}_createStaticPlayer(t,i,n){if(this._potentialPlayerMap.stationaryRelated.length&&this._potentialPlayerMap.stationaryRelated[0].playerId){const s=this._potentialPlayerMap.stationaryRelated[0];this._createStationaryRelatedPlayer(e({},s,{mediaOrPlaylistId:t}),i,n)}else C.error(this._component,"_createStaticPlayer","No video player found")}_shouldRunAutoplayPlayers(){return!(!this._isVideoAllowedOnPage()||!this._potentialPlayerMap.stickyRelated.length&&!this._potentialPlayerMap.stickyPlaylist.length)}_determineAutoplayPlayers(){const e=this._component,t="VideoManagerComponent"===e,i=this._context;if(this._stickyRelatedOnPage)return void C.event(e,"stickyRelatedOnPage",t&&{device:i&&i.device,isDesktop:this._device}||{});const{player:n,playerElement:s}=this._checkPlayerSelectorOnPage("stickyPlaylist");n&&n.playerId&&n.playlistId&&s?this._createPlaylistPlayer(n,s):Math.random()<.01&&setTimeout((()=>{C.event(e,"noStickyPlaylist",t&&{vendor:"none",device:i&&i.device,isDesktop:this._device}||{})}),1e3)}_initializeRelatedPlayers(e){const t=new Map;for(let i=0;i<e.length;i++){const n=e[i],s=n.offsetParent,o=this._getEmbeddedPlayerType(n),r=this._getMediaId(n);if(s&&r){const e=(t.get(r)||0)+1;t.set(r,e),this._createRelatedPlayer(r,o,n,e)}}}constructor(e,t,i){super(),this._videoConfig=e,this._component=t,this._context=i,this._stickyRelatedOnPage=!1,this._relatedMediaIds=[],this._device=A()?"desktop":"mobile",this._potentialPlayerMap=this.setPotentialPlayersMap()}}class Re extends Ie{init(){this._initializePlayers()}_wrapVideoPlayerWithCLS(e,t,i=0){if(e.parentNode){const n=e.offsetWidth*(9/16),s=this._createGenericCLSWrapper(n,t,i);return e.parentNode.insertBefore(s,e),s.appendChild(e),s}return null}_createGenericCLSWrapper(e,t,i){const n=document.createElement("div");return n.id=`cls-video-container-${t}`,n.className="adthrive",n.style.minHeight=`${e+i}px`,n}_getTitleHeight(){const e=document.createElement("h3");e.style.margin="10px 0",e.innerText="Title",e.style.visibility="hidden",document.body.appendChild(e);const t=window.getComputedStyle(e),i=parseInt(t.height,10),n=parseInt(t.marginTop,10),s=parseInt(t.marginBottom,10);return document.body.removeChild(e),Math.min(i+s+n,50)}_initializePlayers(){const e=document.querySelectorAll(this._IN_POST_SELECTOR);e.length&&this._initializeRelatedPlayers(e),this._shouldRunAutoplayPlayers()&&this._determineAutoplayPlayers()}_createStationaryRelatedPlayer(e,t,i){const n="mobile"===this._device?[400,225]:[640,360],s=u.Video_In_Post_ClicktoPlay_SoundOn;if(t&&e.mediaOrPlaylistId){const o=`${e.mediaOrPlaylistId}_${i}`,r=this._wrapVideoPlayerWithCLS(t,o);this._playersAddedFromPlugin.push(e.mediaOrPlaylistId),r&&this._clsOptions.setInjectedVideoSlots({playerId:e.playerId,playerName:s,playerSize:n,element:r,type:"stationaryRelated"})}}_createStickyRelatedPlayer(e,t){const i="mobile"===this._device?[400,225]:[640,360],n=u.Video_Individual_Autoplay_SOff;if(this._stickyRelatedOnPage=!0,this._videoConfig.mobileStickyPlayerOnPage="mobile"===this._device,t&&e.position&&e.mediaId){const s=document.createElement("div");t.insertAdjacentElement(e.position,s);const o=this._getTitleHeight(),r=this._wrapVideoPlayerWithCLS(s,e.mediaId,this._WRAPPER_BAR_HEIGHT+o);this._playersAddedFromPlugin.push(e.mediaId),r&&this._clsOptions.setInjectedVideoSlots({playlistId:e.playlistId,playerId:e.playerId,playerSize:i,playerName:n,element:s,type:"stickyRelated"})}}_createPlaylistPlayer(e,t){const 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