Halley's Comet or Comet Halley ( or ), officially designated 1P/Halley,[2] is a short-period comet visible from Earth every 7576 years.[2][10] Halley is the only known short-period comet that is clearly visible to the naked eye from Earth, and the only naked-eye comet that might appear twice in a human lifetime.[11] Halley last appeared in the inner parts of the Solar System in 1986 and will next appear in mid-2061.[12]
Halley's returns to the inner Solar System have been observed and recorded by astronomers since at least 240 BC. Clear records of the comet's appearances were made by Chinese, Babylonian, and medieval European chroniclers, but were not recognized as reappearances of the same object at the time. The comet's periodicity was first determined in 1705 by English astronomer Edmond Halley, after whom it is now named.
During its 1986 apparition, Halley's Comet became the first comet to be observed in detail by spacecraft, providing the first observational data on the structure of a comet nucleus and the mechanism of coma and tail formation.[13][14] These observations supported a number of longstanding hypotheses about comet construction, particularly Fred Whipple's "dirty snowball" model, which correctly predicted that Halley would be composed of a mixture of volatile ices such as water, carbon dioxide, and ammonia and dust. The missions also provided data that substantially reformed and reconfigured these ideas; for instance, now it is understood that the surface of Halley is largely composed of dusty, non-volatile materials, and that only a small portion of it is icy.
Comet Halley is commonly pronounced , rhyming with valley, or , rhyming with daily.[15][16] Spellings of Edmond Halley's name during his lifetime included Hailey, Haley, Hayley, Halley, Hawley, and Hawly, so its contemporary pronunciation is uncertain.[17]
Halley was the first comet to be recognized as periodic. Until the Renaissance, the philosophical consensus on the nature of comets, promoted by Aristotle, was that they were disturbances in Earth's atmosphere. This idea was disproved in 1577 by Tycho Brahe, who used parallax measurements to show that comets must lie beyond the Moon. Many were still unconvinced that comets orbited the Sun, and assumed instead that they must follow straight paths through the Solar System.[18]
In 1687, Sir Isaac Newton published his Principia, in which he outlined his laws of gravity and motion. His work on comets was decidedly incomplete. Although he had suspected that two comets that had appeared in succession in 1680 and 1681 were the same comet before and after passing behind the Sun (he was later found to be correct; see Newton's Comet),[19] he was unable to completely reconcile comets into his model.
Ultimately, it was Newton's friend, editor and publisher, Edmond Halley, who, in his 1705 Synopsis of the Astronomy of Comets, used Newton's new laws to calculate the gravitational effects of Jupiter and Saturn on cometary orbits.[20] This calculation enabled him, after examining historical records, to determine that the orbital elements of a second comet that had appeared in 1682 were nearly the same as those of two comets that had appeared in 1531 (observed by Petrus Apianus) and 1607 (observed by Johannes Kepler).[20] Halley thus concluded that all three comets were, in fact, the same object returning every 76 years, a period that has since been amended to every 7576 years. After a rough estimate of the perturbations the comet would sustain from the gravitational attraction of the planets, he predicted its return for 1758.[21]
Halley's prediction of the comet's return proved to be correct, although it was not seen until 25 December 1758, by Johann Georg Palitzsch, a German farmer and amateur astronomer. It did not pass through its perihelion until 13 March 1759, the attraction of Jupiter and Saturn having caused a retardation of 618 days.[22] This effect was computed prior to its return (with a one-month error to 13 April)[23] by a team of three French mathematicians, Alexis Clairaut, Joseph Lalande, and Nicole-Reine Lepaute.[24] Halley did not live to see the comet return, as he died in 1742.[25] The confirmation of the comet's return was the first time anything other than planets had been shown to orbit the Sun. It was also one of the earliest successful tests of Newtonian physics, and a clear demonstration of its explanatory power.[26] The comet was first named in Halley's honour by French astronomer Nicolas Louis de Lacaille in 1759.[26]
The possibility has been raised that first-century Jewish astronomers already had recognized Halley's Comet as periodic.[27] This theory notes a passage in the Talmud[28] that refers to "a star which appears once in seventy years that makes the captains of the ships err."[29]
Halley's orbital period over the last 3 centuries has been between 7576 years, although it has varied between 7479 years since 240 BC.[26][30] Its orbit around the Sun is highly elliptical, with an orbital eccentricity of 0.967 (with 0 being a perfect circle and 1 being a parabolic trajectory). The perihelion, the point in the comet's orbit when it is nearest the Sun, is just 0.6 AU.[31] This is between the orbits of Mercury and Venus. Its aphelion, or farthest distance from the Sun, is 35 AU (roughly the distance of Pluto). Unusual for an object in the Solar System, Halley's orbit is retrograde; it orbits the Sun in the opposite direction to the planets, or, clockwise from above the Sun's north pole. The orbit is inclined by 18 to the ecliptic, with much of it lying south of the ecliptic. (Because it is retrograde, the true inclination is 162).[32] Due to the retrograde orbit, it has one of the highest velocities relative to the Earth of any object in the Solar System. The 1910 passage was at a relative velocity of 70.56km/s (157,838mph or 254,016km/h).[33] Because its orbit comes close to Earth's in two places, Halley is the parent body of two meteor showers: the Eta Aquariids in early May, and the Orionids in late October.[34] Observations conducted around the time of Halley's appearance in 1986, however, suggest that the Eta Aquarid meteor shower might not originate from Halley's Comet, although it might be perturbed by it.[35]
Halley is classified as a periodic or short-period comet; one with an orbit lasting 200 years or less.[36] This contrasts it with long-period comets, whose orbits last for thousands of years. Periodic comets have an average inclination to the ecliptic of only ten degrees, and an orbital period of just 6.5 years, so Halley's orbit is atypical.[26] Most short-period comets (those with orbital periods shorter than 20 years and inclinations of 2030 degrees or less) are called Jupiter-family comets. Those resembling Halley, with orbital periods of between 20 to 200 years and inclinations extending from zero to more than 90 degrees, are called Halley-type comets.[36][37] As of 2015[update], only 75 Halley-type comets have been observed, compared with 511 identified Jupiter family comets.[38]
The orbits of the Halley-type comets suggest that they were originally long-period comets whose orbits were perturbed by the gravity of the giant planets and directed into the inner Solar System.[36] If Halley was once a long-period comet, it is likely to have originated in the Oort Cloud,[37] a sphere of cometary bodies that has an inner edge of 20,00050,000 AU. Conversely the Jupiter-family comets are generally believed to originate in the Kuiper belt,[37] a flat disc of icy debris between 30 AU (Neptune's orbit) and 50 AU from the Sun (in the scattered disc). Another point of origin for the Halley-type comets was proposed in 2008, when a trans-Neptunian object with a retrograde orbit similar to Halley's was discovered, 2008 KV42, whose orbit takes it from just outside that of Uranus to twice the distance of Pluto. It may be a member of a new population of small Solar System bodies that serves as the source of Halley-type comets.[39]
Halley has probably been in its current orbit for 16,000200,000 years, although it is not possible to numerically integrate its orbit for more than a few tens of apparitions, and close approaches before 837 AD can only be verified from recorded observations.[40] The non-gravitational effects can be crucial;[40] as Halley approaches the Sun, it expels jets of sublimating gas from its surface, which knock it very slightly off its orbital path. These orbital changes cause delays in its perihelion of four days, average.[41]
In 1989, Boris Chirikov and Vitaly Vecheslavov performed an analysis of 46 apparitions of Halley's Comet taken from historical records and computer simulations. These studies showed that its dynamics were chaotic and unpredictable on long timescales.[42] Halley's projected lifetime could be as long as 10million years. More recent work suggests that Halley will evaporate, or split in two, within the next few tens of thousands of years, or will be ejected from the Solar System within a few hundred thousand years.[37] Observations by D.W. Hughes suggest that Halley's nucleus has been reduced in mass by 8090% over the last 20003000 revolutions.[14]
The Giotto and Vega missions gave planetary scientists their first view of Halley's surface and structure. Like all comets, as Halley nears the Sun, its volatile compounds (those with low boiling points, such as water, carbon monoxide, carbon dioxide and other ices) begin to sublime from the surface of its nucleus.[43] This causes the comet to develop a coma, or atmosphere, up to 100,000km across.[3] Evaporation of this dirty ice releases dust particles, which travel with the gas away from the nucleus. Gas molecules in the coma absorb solar light and then re-radiate it at different wavelengths, a phenomenon known as fluorescence, whereas dust particles scatter the solar light. Both processes are responsible for making the coma visible.[11] As a fraction of the gas molecules in the coma are ionized by the solar ultraviolet radiation,[11] pressure from the solar wind, a stream of charged particles emitted by the Sun, pulls the coma's ions out into a long tail, which may extend more than 100millionkilometers into space.[43][44] Changes in the flow of the solar wind can cause disconnection events, in which the tail completely breaks off from the nucleus.[13]
Despite the vast size of its coma, Halley's nucleus is relatively small: barely 15kilometers long, 8kilometers wide and perhaps 8kilometers thick.[b] Its shape vaguely resembles that of a peanut.[3] Its mass is relatively low (roughly 2.21014kg)[4] and its average density is about 0.6g/cm3, indicating that it is made of a large number of small pieces, held together very loosely, forming a structure known as a rubble pile.[5] Ground-based observations of coma brightness suggested that Halley's rotation period was about 7.4 days. Images taken by the various spacecraft, along with observations of the jets and shell, suggested a period of 52hours.[14] Given the irregular shape of the nucleus, Halley's rotation is likely to be complex.[43] Although only 25% of Halley's surface was imaged in detail during the flyby missions, the images revealed an extremely varied topography, with hills, mountains, ridges, depressions, and at least one crater.[14]
Halley is the most active of all the periodic comets, with others, such as Comet Encke and Comet Holmes, being one or two orders of magnitude less active.[14] Its day side (the side facing the Sun) is far more active than the night side. Spacecraft observations showed that the gases ejected from the nucleus were 80% water vapor, 17% carbon monoxide and 34% carbon dioxide,[45] with traces of hydrocarbons[46] although more-recent sources give a value of 10% for carbon monoxide and also include traces of methane and ammonia.[47] The dust particles were found to be primarily a mixture of carbonhydrogenoxygennitrogen (CHON) compounds common in the outer Solar System, and silicates, such as are found in terrestrial rocks.[43] The dust particles decreased in size down to the limits of detection (~0.001m).[13] The ratio of deuterium to hydrogen in the water released by Halley was initially thought to be similar to that found in Earth's ocean water, suggesting that Halley-type comets may have delivered water to Earth in the distant past. Subsequent observations showed Halley's deuterium ratio to be far higher than that in found in Earth's oceans, making such comets unlikely sources for Earth's water.[43]
Giotto provided the first evidence in support of Fred Whipple's "dirty snowball" hypothesis for comet construction; Whipple postulated that comets are icy objects warmed by the Sun as they approach the inner Solar System, causing ices on their surfaces to sublimate (change directly from a solid to a gas), and jets of volatile material to burst outward, creating the coma. Giotto showed that this model was broadly correct,[43] though with modifications. Halley's albedo, for instance, is about 4%, meaning that it reflects only 4% of the sunlight hitting it; about what one would expect for coal.[48] Thus, despite appearing brilliant white to observers on Earth, Halley's Comet is in fact pitch black. The surface temperature of evaporating "dirty ice" ranges from 170 K (103C) at higher albedo to 220K (53C) at low albedo; Vega 1 found Halley's surface temperature to be in the range 300400 K (30130C). This suggested that only 10% of Halley's surface was active, and that large portions of it were coated in a layer of dark dust that retained heat.[13] Together, these observations suggested that Halley was in fact predominantly composed of non-volatile materials, and thus more closely resembled a "snowy dirtball" than a "dirty snowball".[14][49]
Halley's calculations enabled the comet's earlier appearances to be found in the historical record. The following table sets out the astronomical designations for every apparition of Halley's Comet from 240BC, the earliest documented widespread sighting.[2][50] For example, "1P/1982U1, 1986III, 1982i" indicates that for the perihelion in 1986, Halley was the first period comet known (designated 1P) and this apparition was the first seen in half-month U (the second half of October)[51] in 1982 (giving 1P/1982 U1); it was the third comet past perihelion in 1986 (1986 III); and it was the ninth comet spotted in 1982 (provisional designation 1982i). The perihelion dates of each apparition are shown.[52] The perihelion dates farther from the present are approximate, mainly because of uncertainties in the modelling of non-gravitational effects. Perihelion dates 1607 and later are in the Gregorian calendar, while perihelion dates of 1531 and earlier are in the Julian calendar.[53]
Halley may have been recorded as early as 467BC, but this is uncertain. A comet was recorded in ancient Greece between 468 and 466 BC; its timing, location, duration, and associated meteor shower all suggest it was Halley.[54] According to Pliny the Elder, that same year a meteorite fell in the town of Aegospotami, in Thrace. He described it as brown in colour and the size of a wagon load.[55] Chinese chroniclers also mention a comet in that year.[56]
The first certain appearance of Halley's Comet in the historical record is a description from 240BC, in the Chinese chronicle Records of the Grand Historian or Shiji, which describes a comet that appeared in the east and moved north.[57] The only surviving record of the 164BC apparition is found on two fragmentary Babylonian tablets, now owned by the British Museum.[57]
The apparition of 87BC was recorded in Babylonian tablets which state that the comet was seen "day beyond day" for a month.[58] This appearance may be recalled in the representation of Tigranes the Great, an Armenian king who is depicted on coins with a crown that features, according to Vahe Gurzadyan and R. Vardanyan, "a star with a curved tail [that] may represent the passage of Halley's Comet in 87BC." Gurzadyan and Vardanyan argue that "Tigranes could have seen Halley's Comet when it passed closest to the Sun on August 6 in 87BC" as the comet would have been a "most recordable event"; for ancient Armenians it could have heralded the New Era of the brilliant King of Kings.[59]
The apparition of 12BC was recorded in the Book of Han by Chinese astronomers of the Han Dynasty who tracked it from August through October.[10] It passed within 0.16AU of Earth.[60] Halley's appearance in 12BC, only a few years distant from the conventionally assigned date of the birth of Jesus Christ, has led some theologians and astronomers to suggest that it might explain the biblical story of the Star of Bethlehem. There are other explanations for the phenomenon, such as planetary conjunctions, and there are also records of other comets that appeared closer to the date of Jesus' birth.[61]
If, as has been suggested, the reference in the Talmud to "a star which appears once in seventy years that makes the captains of the ships err"[62] (see above) refers to Halley's Comet, it may be a reference to the 66AD appearance, because this passage is attributed to the Rabbi Yehoshua ben Hananiah. This apparition was the only one to occur during ben Hananiah's lifetime.[63]
The 141AD apparition was recorded in Chinese chronicles.[64] It was also recorded in the Tamil work Purananuru, in connection with the death of a south Indian king.[65]
The 374AD and 607 approaches each came within 0.09AU of Earth.[60] The 684AD apparition was recorded in Europe in one of the sources used by the compiler of the 1493 Nuremberg Chronicles. Chinese records also report it as the "broom star".[66]
In 837, Halley's Comet may have passed as close as 0.03AU (3.2million miles; 5.1million kilometers) from Earth, by far its closest approach.[60] Its tail may have stretched 60degrees across the sky. It was recorded by astronomers in China, Japan, Germany, The Byzantine Empire, and the Middle East.[10] In 912, Halley is recorded in the Annals of Ulster, which state "A dark and rainy year. A comet appeared."[67]
In 1066, the comet was seen in England and thought to be an omen: later that year Harold II of England died at the Battle of Hastings; it was a bad omen for Harold, but a good omen for the man who defeated him, William the Conqueror. The comet is represented on the Bayeux Tapestry as a fiery star, and the surviving accounts describe it as appearing to be four times the size of Venus and shining with a light equal to a quarter of that of the Moon. Halley came within 0.10AU of Earth at that time.[60]
This appearance of the comet is also noted in the Anglo-Saxon Chronicle. Eilmer of Malmesbury may have seen Halley previously in 989, as he wrote of it in 1066: "You've come, have you?... You've come, you source of tears to many mothers, you evil. I hate you! It is long since I saw you; but as I see you now you are much more terrible, for I see you brandishing the downfall of my country. I hate you!"[68]
The Irish Annals of the Four Masters recorded the comet as "A star [that] appeared on the seventh of the Calends of May, on Tuesday after Little Easter, than whose light the brilliance or light of The Moon was not greater; and it was visible to all in this manner till the end of four nights afterwards."[67]Chaco Native Americans in New Mexico may have recorded the 1066 apparition in their petroglyphs.[69]
The 1145 apparition was recorded by the monk Eadwine. The 1986 apparition exhibited a fan tail similar to Eadwine's drawing.[66] Some claim that Genghis Khan was inspired to turn his conquests toward Europe by the 1222 apparition.[70] The 1301 apparition may have been seen by the artist Giotto di Bondone, who represented the Star of Bethlehem as a fire-colored comet in the Nativity section of his Arena Chapel cycle, completed in 1305.[66] No record survives of the 1378 apparition.
In 1456, the year of Halley's next apparition, the Ottoman Empire invaded the Kingdom of Hungary, culminating in the Siege of Belgrade in July of that year. In a Papal Bull, Pope Calixtus III ordered special prayers be said for the city's protection. In 1470, the humanist scholar Bartolomeo Platina wrote in his Lives of the Popes that,[71]
A hairy and fiery star having then made its appearance for several days, the mathematicians declared that there would follow grievous pestilence, dearth and some great calamity. Calixtus, to avert the wrath of God, ordered supplications that if evils were impending for the human race He would turn all upon the Turks, the enemies of the Christian name. He likewise ordered, to move God by continual entreaty, that notice should be given by the bells to call the faithful at midday to aid by their prayers those engaged in battle with the Turk.
Platina's account is not mentioned in official records. In the 18th century, a Frenchman further embellished the story, in anger at the Church, by claiming that the Pope had "excommunicated" the comet, though this story was most likely his own invention.[72]
Halley's apparition of 1456 was also witnessed in Kashmir and depicted in great detail by rvara, a Sanskrit poet and biographer to the Sultans of Kashmir. He read the apparition as a cometary portent of doom foreshadowing the imminent fall of Sultan Zayn al-Abidin (AD 1418/14201470).[73]
After witnessing a bright light in the sky (which most historians have identified as Halley's Comet, visible in Ethiopia in 1456), Emperor Zara Yaqob, ruler from 1434 to 1468, founded the city of Debre Berhan (tr. City of Light) and made it his capital for the remainder of his reign.[74]
Halley's periodic returns have been subject to scientific investigation since the 16th century. The three apparitions from 1531 to 1682 were noted by Edmond Halley, enabling him to predict its 1759 return. Streams of vapour observed during the comet's 1835 apparition prompted astronomer Friedrich Wilhelm Bessel to propose that the jet forces of evaporating material could be great enough to significantly alter a comet's orbit.[75]
The 1910 approach, which came into naked-eye view around 10 April[60] and came to perihelion on 20 April,[60] was notable for several reasons: it was the first approach of which photographs exist, and the first for which spectroscopic data were obtained.[13] Furthermore, the comet made a relatively close approach of 0.15 AU,[60] making it a spectacular sight. Indeed, on 19 May, Earth actually passed through the tail of the comet.[76][77] One of the substances discovered in the tail by spectroscopic analysis was the toxic gas cyanogen,[78] which led astronomer Camille Flammarion to claim that, when Earth passed through the tail, the gas "would impregnate the atmosphere and possibly snuff out all life on the planet."[79] His pronouncement led to panicked buying of gas masks and quack "anti-comet pills" and "anti-comet umbrellas" by the public.[80] In reality, as other astronomers were quick to point out, the gas is so diffuse that the world suffered no ill effects from the passage through the tail.[79]
The comet added to the unrest in China on the eve of Xinhai Revolution that would end the last dynasty in 1911. As James Hutson, a missionary in Sichuan Province at the time, recorded,
The people believe that it indicates calamity such as war, fire, pestilence, and a change of dynasty. In some places on certain days the doors were unopened for half a day, no water was carried and many did not even drink water as it was rumoured that pestilential vapour was being poured down upon the earth from the comet."[81]
The comet was also fertile ground for hoaxes. One that reached major newspapers claimed that the Sacred Followers, a supposed Oklahoma religious group, attempted to sacrifice a virgin to ward off the impending disaster, but were stopped by the police.[82]
American satirist and writer Mark Twain was born on 30 November 1835, exactly two weeks after the comet's perihelion. In his autobiography, published in 1909, he said,
I came in with Halley's comet in 1835. It is coming again next year, and I expect to go out with it. It will be the greatest disappointment of my life if I don't go out with Halley's comet. The Almighty has said, no doubt: 'Now here are these two unaccountable freaks; they came in together, they must go out together.'[83][84]
Twain died on 21 April 1910, the day following the comet's subsequent perihelion.[85] The 1985 fantasy film The Adventures of Mark Twain was inspired by the quotation.
Halley's 1910 apparition is distinct from the Great Daylight Comet of 1910, which surpassed Halley in brilliance and was actually visible in broad daylight for a short period, approximately four months before Halley made its appearance.[86][87]
Halley's 1986 apparition was the least favorable on record. The comet and Earth were on opposite sides of the Sun in February 1986, creating the worst viewing circumstances for Earth observers for the last 2,000 years.[88] Halley's closest approach was 0.42 AU.[89] Additionally, with increased light pollution from urbanization, many people failed to even see the comet. It was possible to observe it in areas outside of cities with the help of binoculars.[90] Further, the comet appeared brightest when it was almost invisible from the northern hemisphere in March and April.[91] Halley's approach was first detected by astronomers David Jewitt and G. Edward Danielson on 16 October 1982 using the 5.1m Hale telescope at Mount Palomar and a CCD camera.[92] The first person to visually observe the comet on its 1986 return was amateur astronomer Stephen James O'Meara on 24 January 1985. O'Meara used a home-built 24-inch telescope on top of Mauna Kea to detect the magnitude 19.6 comet.[93] On 8 November 1985, Stephen Edberg (then serving as the Coordinator for Amateur Observations at NASA's Jet Propulsion Laboratory) and Charles Morris were the first to observe Halley's Comet with the naked eye in its 1986 apparition.[94][95]
The development of space travel gave scientists the opportunity to study the comet at close quarters, and several probes were launched to do so. The Soviet Vega 1 started returning images of Halley on 4 March 1986, and the first ever of its nucleus,[14] and made its flyby on 6 March, followed by Vega 2 making its flyby on 9 March. On 14 March, the Giotto space probe, launched by the European Space Agency, made the closest pass of the comet's nucleus.[14] There were also two Japanese probes, Suisei and Sakigake. The probes were unofficially known as the Halley Armada.[96]
Based on data retrieved by Astron, the largest ultraviolet space telescope of the time, during its Halley's Comet observations in December 1985, a group of Soviet scientists developed a model of the comet's coma.[97] The comet was also observed from space by the International Cometary Explorer. Originally International Sun-Earth Explorer 3, the probe was renamed and freed from its L1 Lagrangian point location in Earth's orbit to intercept comets 21P/Giacobini-Zinner and Halley.[98]
Two Space Shuttle missions the ill-fated STS-51-L (ended by the Challenger disaster)[99] and STS-61-E were scheduled to observe Halley's Comet from low Earth orbit. STS-51-L carried the Shuttle-Pointed Tool for Astronomy (SPARTAN-203) satellite, also called the Halley's Comet Experiment Deployable (HCED).[100] STS-61-E was a Columbia mission scheduled for March 1986, carrying the ASTRO-1 platform to study the comet.[101] Due to the suspension of America's manned space program after the Challenger explosion, the mission was canceled, and ASTRO-1 would not fly until late 1990 on STS-35.[102]
On 12 February 1991, at a distance of 14.4AU (2.15109km) from the Sun, Halley displayed an outburst that lasted for several months, releasing a cloud of dust 300,000km across.[43] The outburst likely started in December 1990, and then the comet brightened from magnitude 24.3 to magnitude 18.9.[103] Halley was most recently observed in 2003 by three of the Very Large Telescopes at Paranal, Chile, when Halley's magnitude was 28.2. The telescopes observed Halley, at the faintest and farthest any comet has ever been imaged, in order to verify a method for finding very faint trans-Neptunian objects.[9] Astronomers are now able to observe the comet at any point in its orbit.[9]
The next predicted perihelion of Halley's Comet is 28 July 2061,[1] when it is expected to be better positioned for observation than during the 19851986 apparition, as it will be on the same side of the Sun as Earth.[30] It is expected to have an apparent magnitude of 0.3, compared with only +2.1 for the 1986 apparition.[104] It has been calculated that on 9 September 2060, Halley will pass within 0.98AU (147,000,000km) of Jupiter, and then on 20 August 2061 will pass within 0.0543AU (8,120,000km) of Venus.[105] In 2134, Halley is expected to pass within 0.09AU (13,000,000km) of Earth.[105] Its apparent magnitude is expected to be 2.0.[104]
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