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For a [[solar eclipse]], after every exeligmos a solar eclipse of similar characteristics will occur in a location close to the eclipse before it. For a [[lunar eclipse]] the same part of the earth will view an eclipse that is very similar to the one that occurred one exeligmos before it (see main text for visual examples). The exeligmos is an [[eclipse cycle]] that is a triple [[saros (astronomy)|saros]], three saroses (or saroi) long, with the advantage that it has nearly an integer number of days so the next eclipse will be visible at locations and times near the eclipse that occurred one exeligmos earlier. In contrast, each saros, an eclipse occurs about eight hours later in the day or about 120° to the west of the eclipse that occurred one saros earlier.<ref name=Totality>{{cite book|last=Littman|display-authors=etal|first=Mark|title=Totality: eclipses of the sun|year=2008|publisher=[[Oxford University Press]]|isbn=978-0-19-953209-4|pages=325–326}}</ref> It corresponds to: *{{val|3|u=[[saros (astronomy)|saroses]]}} *{{val|669|u=[[synodic month]]s}} *{{val|725.996|u=[[draconic month]]s}} *{{val|56.996|u=eclipse years}} ({{val|114|u=[[eclipse season]]s}}) *{{val|716.976|u=[[anomalistic month]]s}} The 57 eclipse years means that if there is a [[solar eclipse]] (or [[lunar eclipse]]), then after one exeligmos a New Moon (resp. Full Moon) will take place at the same [[lunar node|node]] of the [[orbit of the Moon]], and under these circumstances another eclipse can occur. == Details == The Greeks had knowledge of the exeligmos by at latest 100 BC. A Greek astronomical clock called the [[Antikythera mechanism]] used epicyclic gearing to predict the dates of consecutive exeligmoses.<ref>{{Cite journal | author=Freeth, Tony |author2=Y. Bitsakis |author3=X. Moussas |author4=M.G. Edmunds | journal=Nature | volume=444 | pages=587–591 | date=November 30, 2006 | title=Decoding the ancient Greek astronomical calculator known as the Antikythera Mechanism | doi=10.1038/nature05357 | pmid=17136087 | issue=7119 |bibcode = 2006Natur.444..587F }}</ref> The exeligmos is 669 [[month#Synodic month|synodic months]] (every eclipse cycle must be an integer number of synodic months), almost exactly 726 [[month#Draconic month|draconic months]] (which ensures the sun and moon are in alignment during the new moon), and also almost exactly 717 [[month#Anomalistic month|anomalistic months]]<ref>{{cite book|url=https://books.google.com/books?id=tAhZT5jRTwgC&pg=PA301|title=From Aristotle to Augustine|first=Furley|last=David|date=11 February 1999|publisher=Psychology Press|via=Google Books|isbn=978-0-415-06002-8|page=301}}</ref> (ensuring the moon is at the same point of its elliptic orbit). It also corresponds to 114 eclipse seasons. The first two factors make this a long-lasting eclipse series. The latter factor is what makes all the eclipses in an exeligmos so similar. The near-integer number of anomalistic months ensures that the apparent diameter of the moon will be nearly the same with each successive eclipse. The fact that it is very nearly a whole integer of days ensures each successive eclipse in the series occurs very close to the previous eclipse in the series. For each successive eclipse in an exeligmos series the longitude and latitude can change significantly because an exeligmos is over a month longer than a calendar year, and the [[Gamma (eclipse) |gamma]] increases/decreases because an exeligmos is about three hours shorter than a draconic month. The sun's apparent diameter also changes significantly in one month, affecting the length and width of a solar eclipse.<ref name=Totality /> === Solar exeligmos example === Here is a comparison of two annular solar eclipses one exeligmos apart: {| class="wikitable" |- align=center ! width="200px" | || [[Solar eclipse of May 20, 1966|May 20, 1966]] || [[Solar eclipse of June 21, 2020|June 21, 2020]] |- | Path Map <br />(annular eclipse is red path)<br />(light blue lines are lines of obscuration of 0%, 20%, 40%, 60% and 80% covered) || [[File:SE1966May20A.png|220px]] || [[File:SE2020Jun21A.png|220px]] |- | Duration || 0 minutes 5 seconds || 0 minutes 38 seconds |- | Max width of annular eclipse path || 3 kilometers|| 21 kilometers |- | Latitude of greatest eclipse || 39° North || 31° North |- | Time of greatest eclipse (UTC) || 09:38 || 06:40 |} === Lunar exeligmos example === Here is a comparison of two total lunar eclipses one exeligmos apart: <br /> {| class="wikitable" |- align=center ! width="200px" | || [[December 1963 lunar eclipse|December 30, 1963]] || [[January 2018 lunar eclipse|January 31, 2018]] |- | Path Map <br /> || [[File:Lunar eclipse chart close-1963Dec30.png|220px]] || [[File:Lunar eclipse chart close-2018Jan31.png|220px]] |- | Visibility <br />(side of earth eclipse is visible from) || [[File:Lunar eclipse from moon-1963Dec30.png|220px]] || [[File:Lunar eclipse from moon-2018Jan31.png|220px]] |- | Duration (Partial eclipse)|| 204 minutes || 203 minutes |- | Time of greatest eclipse (UTC) || 11:06 || 13:29 |} == Sample series of solar exeligmos == Exeligmos table of [[solar saros 136]]. Each eclipse occurs at roughly the same longitude but moves about 5-15 degrees in latitude with each successive cycle.<ref name=Totality /> {| class=wikitable |- align=center !Saros||Member||Date<ref>Gregorian Calendar is used for dates after 1582 Oct 15. Julian Calendar is used for dates before 1582 Oct 04.</ref>||Time<br>(Greatest)<br>[[UTC]]||Type||Location<br>Lat,Long||[[Gamma (solar eclipse)|Gamma]]||[[Magnitude of eclipse|Mag.]]||Width<br>(km)||Duration<br>(min:sec)||Ref |- align=center bgcolor=#ffffe0 |136||3||July 5, 1396||19:37:40||Partial||63.9S 147.2W||-1.3568||0.3449|||| ||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1301-1400/1396-07-05.gif] |- align=center bgcolor=#ffffe0 |136||6||August 7, 1450||16:48:49||Partial||61.8S 132.8W||-1.1286||0.756|||| ||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1401-1500/1450-08-07.gif] |- align=center bgcolor=#ffe0ff |136||9||September 8, 1504||15:12:15||Annular||55.3S 102.6W||-0.9486||0.9924||83||0m 32s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1501-1600/1504-09-08.gif] |- align=center bgcolor=#ffe0ff |136||12||October 11, 1558||14:58:55||Annular||56.5S 90.3W||-0.8289||0.9971||18||0m 12s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1501-1600/1558-10-11.gif] |- align=center bgcolor=#e0e0ff |136||15||November 22, 1612||16:04:35||Hybrid||65.7S 98.4W||-0.7691||1.0002||1||0m 1s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1601-1700/1612-11-22.gif] |- align=center bgcolor=#e0e0ff |136||18||December 25, 1666||17:59:16||Hybrid||71.6S 98.3W||-0.7452||1.0058||30||0m 24s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1601-1700/1666-12-25.gif] |- align=center bgcolor=#e0ffe0 |136||21||January 27, 1721||20:05:11||Total||64S 102.4W||-0.7269||1.0158||79||1m 7s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1701-1800/1721-01-27.gif] |- align=center bgcolor=#e0ffe0 |136||24||March 1, 1775||21:39:20||Total||47.9S 124.8W||-0.6783||1.0304||139||2m 20s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1701-1800/1775-03-01.gif] |- align=center bgcolor=#e0ffe0 |136||27||April 3, 1829||22:18:36||Total||28.5S 142.6W||-0.5803||1.0474||192||4m 5s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1801-1900/1829-04-03.gif] |- align=center bgcolor=#e0ffe0 |136||30||[[Solar eclipse of May 6, 1883|May 6, 1883]]||21:53:49||Total||8.1S 144.6W||-0.425||1.0634||229||5m 58s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1801-1900/1883-05-06.gif] |- align=center bgcolor=#e0ffe0 |136||33||[[Solar eclipse of June 8, 1937|June 8, 1937]]||20:41:02||Total||9.9N 130.5W||-0.2253||1.0751||250||7m 4s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1901-2000/1937-06-08.gif] |- align=center bgcolor=#e0ffe0 |136||36||[[Solar eclipse of July 11, 1991|July 11, 1991]]||19:07:01||Total||22N 105.2W||-0.0041||1.08||258||6m 53s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/1901-2000/1991-07-11.gif] |- align=center bgcolor=#e0ffe0 |136||39||[[Solar eclipse of August 12, 2045|August 12, 2045]]||17:42:39||Total||25.9N 78.5W||0.2116||1.0774||256||6m 6s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2001-2100/2045-08-12.gif] |- align=center bgcolor=#e0ffe0 |136||42||[[Solar eclipse of September 14, 2099|September 14, 2099]]||16:57:53||Total||23.4N 62.8W||0.3942||1.0684||241||5m 18s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2001-2100/2099-09-14.gif] |- align=center bgcolor=#e0ffe0 |136||45||[[Solar eclipse of October 17, 2153|October 17, 2153]]||17:12:18||Total||18.8N 65.7W||0.5259||1.056||214||4m 36s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2101-2200/2153-10-17.gif] |- align=center bgcolor=#e0ffe0 |136||48||November 20, 2207||18:30:26||Total||15.8N 87.8W||0.6027||1.0434||180||3m 56s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2201-2300/2207-11-20.gif] |- align=center bgcolor=#e0ffe0 |136||51||December 22, 2261||20:38:50||Total||16.1N 124.2W||0.636||1.0337||147||3m 17s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2201-2300/2261-12-22.gif] |- align=center bgcolor=#e0ffe0 |136||54||January 25, 2316||23:05:17||Total||21.4N 166W||0.6526||1.0282||126||2m 42s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2301-2400/2316-01-25.gif] |- align=center bgcolor=#e0ffe0 |136||57||February 27, 2370||1:07:02||Total||33.2N 157E||0.6865||1.0262||121||2m 17s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2301-2400/2370-02-27.gif] |- align=center bgcolor=#e0ffe0 |136||60||March 31, 2424||2:10:10||Total||51.3N 131.9E||0.7652||1.0254||133||1m 55s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2401-2500/2424-03-31.gif] |- align=center bgcolor=#e0ffe0 |136||63||May 3, 2478||1:55:59||Total||75.7N 107.7E||0.9034||1.0218||176||1m 20s||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2401-2500/2478-05-03.gif] |- align=center bgcolor=#ffffe0 |136||66||June 5, 2532||0:28:58||Partial||67.5N 1.3E||1.0962||0.8224|||| ||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2501-2600/2532-06-05.gif] |- align=center bgcolor=#ffffe0 |136||69||July 7, 2586||22:07:07||Partial||64.5N 7.2E||1.327||0.3957|||| ||[http://eclipse.gsfc.nasa.gov/5MCSEmap/2501-2600/2586-07-07.gif] |} == Solar exeligmos animation == Here is an animation of an exeligmos series. Note the similar paths of each total eclipse, and how they fall close to the same [[longitude]] of the earth.<ref name="NASA">[http://eclipse.gsfc.nasa.gov/eclipse.html NASA Eclipse Website] Fred Espenak</ref> [[File:Exeligmos.gif|300px]] === Solar Saros Animation (for comparison) === This next animation is from the entire [[Solar saros 136|saros series]] of the exeligmos above. Notice how each eclipse falls on a different side of the earth (120 degrees apart).<ref name="NASA" /> [[File:Saros 136 animation.gif]] ==See also== * [[Eclipse cycle]] * [[Saros (astronomy)|Saros]] * [[Full moon cycle]] == References == {{Reflist}} [[Category:Eclipses]] [[Category:Time in astronomy]] [[Category:Ancient Greek astronomy]] </textarea><div class="templatesUsed"><div class="mw-templatesUsedExplanation"><p><span id="templatesused">Pages transcluded onto the current version of this page<span class="posteditwindowhelplinks"> (<a href="/wiki/Help:Transclusion" title="Help:Transclusion">help</a>)</span>:</span> </p></div><ul> <li><a href="/wiki/Template:Cite_book" title="Template:Cite book">Template:Cite book</a> (<a href="/w/index.php?title=Template:Cite_book&action=edit" title="Template:Cite book">view source</a>) (protected)</li><li><a href="/wiki/Template:Cite_journal" title="Template:Cite journal">Template:Cite journal</a> (<a 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