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==History==
The history of the subject began with the development in the 19th century, with the development of classical [[wave]] mechanics and the exploration of phenomena which are associated with the [[Doppler effect]]. The effect is named after the [[Austria|Austrian]] mathematician, [[Christian Doppler]], who offered the first known physical explanation for the phenomenon in 1842.<ref>
{{cite book
|last=Doppler | first=Christian
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|bibcode=1846befi.book.....D
|volume=69
}}</ref> TheIn 1845, the hypothesis was tested and confirmed for [[sound wave]]s by the [[Netherlands|Dutch]] scientist [[C. H. D. Buys Ballot|Christophorus Buys Ballot]] in 1845.<ref>
{{cite book
|last=Maulik | first=Dev
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|isbn=978-3-540-23088-5
|publisher=Springer
}}</ref> Doppler correctly predicted that the phenomenon shouldwould apply to all waves, and, in particular, suggested that the varying [[color]]s of [[star]]s could be attributed to their motion with respect to the Earth.<ref>
{{cite web
|last1=O'Connor | first1=John J.
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}}</ref> Before this was verified, it was found that stellar colors were primarily due to a star's [[color temperature|temperature]], not motion. Only later was Doppler vindicated by verified redshift observations.{{cn|date=March 2023}}
 
The first Doppler redshift was first described by French physicist [[Hippolyte Fizeau]] in 1848, who pointed tonoted the shift in [[spectral line]]s seen in stars as being due to the Doppler effect. The effect is sometimes called the "Doppler–Fizeau effect". In 1868, British astronomer [[William Huggins]] was the first to determine the velocity of a star moving away from the Earth by thisthe method.<ref name=Huggins>
{{cite journal
|last=Huggins | first=William
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|bibcode=1868RSPT..158..529H
|doi=10.1098/rstl.1868.0022
}}</ref> In 1871, optical redshift was confirmed when the phenomenon was observed in [[Fraunhofer lines]], using solar rotation, about 0.1 Å in the red.<ref>
{{cite journal
|last=Reber | first=G.
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|bibcode=1995Ap&SS.227...93R
|s2cid=30000639
}}</ref> In 1887, Vogel and Scheiner discovered the ''"annual Doppler effect''", the yearly change in the Doppler shift of stars located near the ecliptic, due to the orbital velocity of the Earth.<ref>{{cite book|last=Pannekoek|first=A.|title=A History of Astronomy |date=1961|publisher=Dover|page=451|isbn=978-0-486-65994-7}}</ref> In 1901, [[Aristarkh Belopolsky]] verified optical redshift in the laboratory using a system of rotating mirrors.<ref>
{{cite journal
|last=Bélopolsky | first=A.
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}}</ref>
 
[[Arthur Eddington]] used the term ''"red -shift''" as early as 1923.,<ref>{{Cite book |last=Eddington |first=Arthur Stanley |url=https://books.google.com/books?id=errkj2WXGzIC&pg=PA164 |title=The Mathematical Theory of Relativity |date=1923 |publisher=The University Press |page=164 |language=en |author-link=Arthur Eddington}}</ref><ref>{{Cite OED|term=redshift|id=160477|access-date=2023-03-17}}</ref> Thealthough the word does not appear unhyphenated until about 1934, bywhen [[Willem de Sitter]] used it.<ref>
{{cite journal
|last=de Sitter | first=W.
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}}</ref>
 
Beginning with observations in 1912, [[Vesto Slipher]] discovered that most [[Spiralspiral galaxy|spiral galaxies]], then mostly thought to be [[Spiral galaxy#Spiral nebula|spiral nebulae]], had considerable redshifts. Slipher first reportsreported on his measurement in the inaugural volume of the ''[[Lowell Observatory]] Bulletin''.<ref>
{{cite journal
|last=Slipher | first=Vesto
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|volume=23 |pages=21–24 |date=1915
|bibcode=1915PA.....23...21S
}}</ref> In it he statesstated that "the early discovery that the great Andromeda spiral had the quite exceptional velocity of –300 km(/s) showed the means then available, capable of investigating not only the spectra of the spirals but their velocities as well."<ref>
{{cite journal |last=Slipher | first=Vesto |date=1915 |title=Spectrographic Observations of Nebulae |journal=[[Popular Astronomy (US magazine)|Popular Astronomy]] |volume=23 |page=22 |bibcode=1915PA.....23...21S}}</ref>
 
Slipher reported the velocities for 15 spiral nebulae spread across the entire [[celestial sphere]], all but three having observable "positive" (that is recessional) velocities. Subsequently, [[Edwin Hubble]] discovered an approximate relationship between the redshifts of such "nebulae", and the [[distance]]s to them, with the formulation of his eponymous [[Hubble's law]].<ref>
{{cite journal
|doi=10.1073/pnas.15.3.168
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|pmc=522427
|doi-access=free
}}</ref> [[Milton Humason]] worked on thesethose observations with Hubble.<ref>{{Cite web|url=https://imagine.gsfc.nasa.gov/educators/programs/cosmictimes/online_edition/1929/expanding.html|title=Universe is Expanding|date=2017-12-08|access-date=2023-09-06}}</ref> These observations corroborated [[Alexander Friedmann]]'s 1922 work, in which he derived the [[Friedmann equations|Friedmann–Lemaître equations]].<ref>{{cite journal
|last=Friedman |first=A. A.
|date=1922
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|doi=10.1007/BF01332580
|bibcode = 1922ZPhy...10..377F |s2cid=125190902
}} English translation in {{cite journal |title=On the Curvature of Space|doi=10.1023/A:1026751225741 |last=Friedman |first=A. |date=1999 |journal=[[General Relativity and Gravitation]] |volume=31 |issue=12 |pages=1991–2000 |bibcode=1999GReGr..31.1991F|s2cid=122950995 }})</ref> InThey theare presentnow dayconsidered theyto are consideredbe strong evidence for an [[expanding universe]] and the [[Big Bang]] theory.<ref name=Eddington>This was recognized early on by physicists and astronomers working in cosmology in the 1930s. The earliest layman publication describing the details of this correspondence is {{cite book
|last=Eddington |first=Arthur | author-link=Arthur Eddington
|date=1933