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George Biddell Airy

From Wikipedia, the free encyclopedia
English mathematician and astronomer (1801–1892)

George Biddell Airy
George Biddell Airy in 1891
Born(1801-07-27)27 July 1801
Alnwick, Northumberland, England
Died2 January 1892(1892-01-02) (aged 90)
Greenwich, London, England
CitizenshipBritish
EducationColchester Royal Grammar School
Alma materTrinity College, Cambridge
Known forSeventhAstronomer Royal
See full list
AwardsSmith's Prize(1823)
Copley Medal(1831)
RAS Gold Medal(1833, 1846)
Lalande Prize(1834)
Royal Medal(1845)
Albert Medal(1876)
Scientific career
FieldsAstronomy,mathematics
InstitutionsTrinity College, Cambridge
Royal Society
Academic advisorsGeorge Peacock
7th Astronomer Royal
In office
1835–1881
Preceded byJohn Pond
Succeeded byWilliam Christie

Sir George Biddell Airy (/ˈɛəri/; 27 July 1801 – 2 January 1892) was an Englishmathematician andastronomer, as well as theLucasian Professor of Mathematics from 1826 to 1828 and the seventhAstronomer Royal from 1835 to 1881. His many achievements include work onplanetaryorbits, measuring the mean density of the Earth, a method of solution of two-dimensional problems insolid mechanics and, in his role as Astronomer Royal, establishingGreenwich as the location of theprime meridian.

Biography

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Airy was born atAlnwick inNorthumberland, one of a long line of Airys who traced their descent back to a family of the same name residing atKentmere, inWestmorland, in the 14th century. The branch to which he belonged, having suffered in theEnglish Civil War, moved toLincolnshire and became farmers. Airy was educated first at elementary schools inHereford, and afterwards atColchester Royal Grammar School.[1] An introverted child, Airy gained popularity with his schoolmates through his great skill in the construction of peashooters.[2]

From the age of 13, Airy stayed frequently with his uncle, Arthur Biddell atPlayford,Suffolk. Biddell introduced Airy to his friendThomas Clarkson, the slave trade abolitionist who lived atPlayford Hall. Clarkson had an MA in mathematics from Cambridge, and examined Airy in classics and then subsequently arranged for him to be examined by a Fellow fromTrinity College, Cambridge on his knowledge of mathematics.[3][4] As a result, he entered Trinity in 1819, as asizar, meaning that he paid a reduced fee but essentially worked as a servant to make good the fee reduction.[5] Here he had a brilliant career, and seems to have been almost immediately recognised as the leading man of his year. In 1822 he was elected scholar of Trinity, and in the following year he graduated assenior wrangler and obtained firstSmith's Prize. On 1 October 1824 he was elected fellow of Trinity, and in December 1826 was appointedLucasian professor of mathematics in succession toThomas Turton. This chair he held for little more than a year, being elected in February 1828Plumian professor ofastronomy and director of the newCambridge Observatory.[1] In 1836 he was elected aFellow of the Royal Society and in 1840, a foreign member of theRoyal Swedish Academy of Sciences. In 1859 he became foreign member of theRoyal Netherlands Academy of Arts and Sciences.[6]

Research

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George Biddell Airy

Some idea of his activity as a writer on mathematical and physical subjects during these early years may be gathered from the fact that previous to this appointment he had contributed three important memoirs to thePhilosophical Transactions of theRoyal Society, and eight to theCambridge Philosophical Society. At the Cambridge Observatory Airy soon showed his power of organisation. The onlytelescope in the establishment when he took charge was thetransit instrument, and to this he vigorously devoted himself. By the adoption of a regular system of work, and a careful plan of reduction, he was able to keep his observations up to date, and published them annually with a punctuality which astonished his contemporaries. Before long amural circle was installed, and regular observations were instituted with it in 1833. In the same year theDuke of Northumberland presented the Cambridge observatory with a fineobject-glass of 12-inch aperture, which was mounted according to Airy's designs and under his superintendence, although construction was not completed until after he moved toGreenwich in 1835.[1]

Airy's writings during this time are divided between mathematical physics and astronomy. The former are for the most part concerned with questions relating to the theory of light arising out of his professorial lectures, among which may be specially mentioned his paperOn the Diffraction of an Object-Glass with Circular Aperture, and his enunciation of the complete theory of therainbow.[citation needed] In 1831 theCopley Medal of the Royal Society was awarded to him for these researches. Of his astronomical writings during this period the most important are his investigation of the mass ofJupiter, his report to theBritish Association on the progress of astronomy during the 19th century, and his workOn an Inequality of Long Period in the Motions of theEarth andVenus.[7]

One of the sections of his able and instructive report was devoted to "A Comparison of the Progress of Astronomy in England with that in other Countries", very much to the disadvantage of England. This reproach was subsequently to a great extent removed by his own labours.[8]

Mean density of the Earth

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One of the most remarkable of Airy's researches was his determination of themean density of the Earth. In 1826, the idea occurred to him of attacking this problem by means ofpendulum experiments at the top and bottom of a deepmine. His first attempt, made in the same year, at theDolcoath mine in Cornwall, failed in consequence of an accident to one of thependulums. A second attempt in 1828 was defeated by a flooding of the mine, and many years elapsed before another opportunity presented itself. The experiments eventually took place at theHarton pit nearSouth Shields in northern England in 1854. Their immediate result was to show that gravity at the bottom of the mine exceeded that at the top by 1/19286 of its amount, the depth being 383 m (1,257 ft). From this he was led to the final value of Earth'sspecific density of 6.566.[9] This value, although considerably in excess of that previously found by different methods, was held by Airy, from the care and completeness with which the observations were carried out and discussed, to be "entitled to compete with the others on, at least, equal terms."[8] The currently accepted value for Earth's density is 5.5153 g/cm3.[citation needed]

Reference geoid

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In 1830, Airy calculated the lengths of the polar radius and equatorial radius of the earth using measurements taken in the UK. Although his measurements were superseded by more accurate radius figures (such as those used forGRS 80 andWGS84) hisAiry geoid (strictly a reference ellipsoid, OSGB36) is still used by Great Britain'sOrdnance Survey for mapping of England, Scotland and Wales because it better fits the local sea level (about 80 cm below world average).[10][11]

Planetary inequalities

[edit]

Airy's discovery of a new inequality in the motions of Venus and the Earth is in some respects his most remarkable achievement. In correcting the elements ofDelambre's solar tables he had been led to suspect an inequality overlooked by their constructor. The cause of this he did not long seek in vain; thirteen times the mean motion of Venus is so nearly equal to eight times that of Earth that the difference amounts to only a small fraction of Earth's mean motion, and from the fact that the term depending on this difference, although very small in itself, receives in the integration of thedifferential equations a multiplier of about 2,200,000, Airy was led to infer the existence of a sensible inequality extending over 240 years (Phil. Trans. cxxii. 67). The investigation was probably the most laborious that had been made up to Airy's time inplanetary theory, and represented the first specific improvement in the solar tables effected in England since the establishment of the theory ofgravity. In recognition of this work theGold Medal of the Royal Astronomical Society was awarded to him in 1833[8] (he would win it again in 1846).

Airy disk

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Main article:Airy disk
Computer-generated image simulating anAiry Disk

Theresolution of optical devices is limited bydiffraction. So even the most perfect lens cannot quite generate a point image at itsfocus, but instead there is a bright central pattern now called theAiry disk, surrounded by concentric rings comprising an Airy pattern. The size of the Airy disk depends on the light wavelength and the size of the aperture.John Herschel had previously described the phenomenon,[12] but Airy was the first to explain it theoretically.[13]

This was a key argument in refuting one of the last remaining arguments for absolutegeocentrism: thegiant star argument.Tycho Brahe andGiovanni Battista Riccioli pointed out that the lack ofstellar parallax detectable at the time entailed that stars were a huge distance away. But the naked eye and the early telescopes with small apertures seemed to show that stars were disks of a certain size. This would imply that the stars were many times larger than the Sun (they were not aware ofsupergiant orhypergiant stars, but some were calculated to be even larger than the size of the whole universe estimated at the time). However, the disk appearances of the stars were spurious: they were not actually seeing stellar images, but Airy disks. With modern telescopes, even with those having the largest magnification, the images of almost all stars correctly appear as mere points of light.

Astronomer Royal

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Airy's Transit Circle in the Transit Circle Room of theRoyal Greenwich Observatory; for a hundred years from 1884 to 1984, it marked thePrime meridian of the world, or more accurately, the Prime Meridian was marked by or derived from it.

In June 1835 Airy was appointedAstronomer Royal in succession toJohn Pond, and began his long career at the national observatory which constitutes his chief title to fame. The condition of the observatory at the time of his appointment was such thatLord Auckland, the firstLord of the Admiralty, considered that "it ought to be cleared out," while Airy admitted that "it was in a queer state." With his usual energy he set to work at once to reorganise the whole management. He remodelled the volumes of observations, put the library on a proper footing, mounted the new (Sheepshanks)equatorial and organised a new magnetic observatory. In 1847 analtazimuth was erected, designed by Airy to enable observations of themoon to be made not only on themeridian, but whenever it might be visible.[14] In 1848 Airy invented the reflex zenith tube to replace thezenith sector previously employed. At the end of 1850 the great transit circle of 203 mm (8.0 in) aperture and 3.5 metres (11 feet 6 inches)focal length was erected, and is still the principal instrument of its class at the observatory. The mounting in 1859 of an equatorial of 330 mm (13 in) aperture evoked the comment in his journal for that year, "There is not now a single person employed or instrument used in the observatory which was there in Mr Pond's time"; and the transformation was completed by the inauguration ofspectroscopic work in 1868 and of the photographic registration ofsunspots in 1873.[8]

The Prime Meridian in Greenwich (1884–1984); the telescope shown above left is behind the glass

The formidable undertaking of reducing the accumulated planetary observations made at Greenwich from 1750 to 1830 was already in progress under Airy's supervision when he became Astronomer Royal. Shortly afterwards he undertook the further laborious task of reducing the enormous mass of observations of the moon made at Greenwich during the same period under the direction, successively, ofJames Bradley,Nathaniel Bliss,Nevil Maskelyne and John Pond, to defray the expense of which a large sum of money was allotted by the Treasury. As a result, no fewer than 8,000 lunar observations were rescued from oblivion, and were, in 1846, placed at the disposal of astronomers in such a form that they could be used directly for comparison with the theory and for the improvement of the tables of the moon's motion.[8]

For this work Airy received in 1848 a testimonial from theRoyal Astronomical Society, and it at once led to the discovery byPeter Andreas Hansen of two new inequalities in the moon's motion. After completing these reductions, Airy made inquiries, before engaging in any theoretical investigation in connection with them, whether any other mathematician was pursuing the subject, and learning that Hansen had taken it in hand under the patronage of theking of Denmark, but that, owing to the death of the king and the consequent lack of funds, there was danger of his being compelled to abandon it, he applied to the admiralty on Hansen's behalf for the necessary sum. His request was immediately granted, and thus it came about that Hansen's famousTables de la Lune were dedicated toLa Haute Amirauté de sa Majesté la Reine de la Grande Bretagne et d'Irlande.[8]

In 1851 Airy established a newPrime Meridian at Greenwich. This line, the fourth "Greenwich Meridian", became the definitive internationally recognised line in 1884.[15][16] It was superseded by theIERS Reference Meridian in 1984, which runs approximately 102 metres to the east.

Search for Neptune

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Main article:Discovery of Neptune
George Biddell Airy caricatured byApe inVanity Fair Nov 1875

In June 1846, Airy started corresponding with French astronomerUrbain Le Verrier over the latter's prediction that irregularities in the motion ofUranus were due to a so-far unobserved body. Aware that Cambridge AstronomerJohn Couch Adams had suggested that he had made similar predictions, on 9 July Airy urgedJames Challis to undertake a systematic search in the hope of securing the triumph of discovery for Britain. Ultimately, a rival search in Berlin byJohann Gottfried Galle, instigated by Le Verrier, won the race for priority.[17] Though Airy was "abused most savagely both by English and French"[18] for his failure to act on Adams's suggestions more promptly, there have also been claims that Adams's communications had been vague and dilatory[17] and further that the search for a new planet was not the responsibility of the Astronomer Royal.[19]

Ether drag test

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Main article:Luminiferous aether

Using a water-filledtelescope, in 1871 Airy looked for a change instellar aberration through therefracting water due to theaether drag hypothesis.[20] Like all other attempts to detect aether drift or drag, Airy obtained a negative result.

Lunar theory

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In 1872 Airy conceived the idea of treating thelunar theory in a new way, and at the age of seventy-one he embarked on the prodigious toil which this scheme entailed. A general description of his method will be found in theMonthly Notices of the Royal Astronomical Society, vol. xxxiv, No. 3. It consisted essentially in the adoption ofCharles-Eugène Delaunay's final numerical expressions forlongitude,latitude, andparallax, with a symbolic term attached to each number, the value of which was to be determined by substitution in the equations of motion.[8]

In this mode of treating the question the order of the terms is numerical, and though the amount of labour is such as might well have deterred a younger man, yet the details were easy, and a great part of it might be entrusted to "a merecomputer".[8][a]

The work was published in 1886, when its author was eighty-five years of age. For some little time previously he had been harassed by a suspicion that certain errors had crept into the computations, and accordingly he addressed himself to the task of revision. But his powers were no longer what they had been, and he was never able to examine sufficiently into the matter. In 1890 he tells us how a grievous error had been committed in one of the first steps, and pathetically adds, "My spirit in the work was broken, and I have never heartily proceeded with it since."[8]

Engineering mechanics

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Stress function method
[edit]

In 1862, Airy presented a new technique to determine thestrain andstress field within abeam.[21] This technique, sometimes called the Airy stress function method, can be used to find solutions to many two-dimensional problems insolid mechanics.[citation needed] For example, it was used by H. M. Westergaard[22] to determine the stress and strain field around a crack tip and thereby this method contributed to the development offracture mechanics.

Tay Bridge disaster
[edit]
OriginalTay Bridge from the north
The original Tay Bridge after collapsing

Airy was consulted about wind speeds and pressures likely to be encountered on the proposed Forth suspension bridge being designed byThomas Bouch for theNorth British Railway in the late 1870s. He thought that pressures no greater than about 10 pounds per square foot (500 pascals) could be expected, a comment Bouch took to mean also applied to the first Tay Railway Bridge then being built. Much greater pressures, however, can be expected in severe storms. Airy was called to give evidence before the official inquiry into theTay Bridge disaster, and was criticised for his advice. However, little was known about the problems of wind resistance of large structures, and a Royal Commission on Wind Pressure was asked to conduct research into the problem.[23]

Controversy

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Airy was described in his obituary published by theRoyal Society as being "a tough adversary" and stories of various disagreements and conflicts with other scientists survive.Francis Ronalds discovered Airy to be his foe while he was inaugural Honorary Director of theKew Observatory, which Airy considered to be a competitor to Greenwich.[24][25] Other well documented conflicts were withCharles Babbage and SirJames South.[26][27]

Private life

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In July 1824, Airy met Richarda Smith (1804–1875), "a great beauty", on a walking tour ofDerbyshire. He later wrote, "Our eyes met ... and my fate was sealed ... I felt irresistibly that we must be united," and Airy proposed two days later. Richarda's father, the Revd Richard Smith, felt that Airy lacked the financial resources to marry his daughter. Only in 1830, with Airy established in his Cambridge position, was permission for the marriage granted.[17][28][29]

George Biddell Airy (byJohn Collier, 1883)

The Airys had nine children, the first three of whom died young.

  • Elizabeth Airy (born 1833) died of consumption (tuberculosis) in 1852.
  • The eldest child to survive to adulthood was Wilfrid (1836–1925), who designed and engineered"Colonel" George Tomline'sOrwell Park Observatory.[30][31] Wilfrid's daughter was the artistAnna Airy.[31] Anna's mother died shortly after she was born, and she was raised by her maiden aunts Christabel and Annot (see below).
  • George Airy's sonHubert Airy (1838–1903) was a doctor, and a pioneer in the study ofmigraine.[32] Airy himself suffered from this condition.
  • The Airys' eldest daughter, Hilda (1840–1916), married the mathematicianEdward Routh in 1864.[33]
  • Christabel (1842–1917) died unmarried, as did the next sister Annot (1843–1924).
  • The Airys youngest child was Osmund (1845–1929).

Airy wasknighted on 17 June 1872.[34]

Airy retired in 1881, living with his two unmarried daughters atCroom's Hill near Greenwich. In 1891, he suffered a fall and an internal injury. He survived the consequential surgery only a few days. His wealth at death was £27,713, equivalent to £3,746,548.49 in 2021.[35] Airy and his wife and three pre-deceased children are buried at St. Mary's Church inPlayford, Suffolk.[17] A cottage owned by Airy still stands, adjacent to the church and now in private hands.[36]

SirPatrick Moore claimed in his autobiography that the ghost of Airy has been seen haunting the Royal Greenwich Observatory after nightfall.[37]

Legacy and honours

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Bibliography

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On sound and atmospheric vibrations with the mathematical elements of music, 1871
Memorial in St Mary's Playford

By Airy

[edit]

For a list of works by George Biddell Airy (with digital copies) see Wikisource.

A complete list of Airy's 518 printed papers is in Airy (1896). Among the most important are:

  • (1826)Mathematical Tracts on Physical Astronomy
  • (1828)On the Lunar Theory, The Figure of the Earth, Precession and Nutation, and Calculus of Variations, to which, in the second edition of 1828, were added tracts on thePlanetary Theory and theUndulatory Theory of Light
  • (1834)Gravitation: an Elementary Explanation of the Principal Perturbations in the Solar System (Full text at Internet Archive)
  • (1839)Experiments on Iron-built Ships, instituted for the purpose of discovering a correction for the deviation of the Compass produced-by the Iron of the Ships
  • (1848 [1881, 10th edition])Popular Astronomy: A Series of Lectures Delivered at Ipswich (Full text at Wikisource)
  • (1855)A Treatise on Trigonometry (Full text at Google Books)
  • (1861)On the Algebraic and Numerical Theory of Errors of Observations and the Combination of Observations.
  • (1866)An Elementary Treatise on Partial Differential Equations (Full text at Internet Archive)
  • (1868)On Sound and Atmospheric Vibrations with the Mathematical Elements of Music (Full text at MPIWG)
  • (1870)A Treatise on Magnetism (Full text at Google Books)

About Airy

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See also

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References

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Notes

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  1. ^At the time that this was written, the term "computer" referred to a human being who performed calculating work, either manually or with mechanical aids.

Citations

[edit]
  1. ^abcRambaut 1911, p. 445.
  2. ^O'Connor, John J.;Robertson, Edmund F.,"George Biddell Airy",MacTutor History of Mathematics Archive,University of St Andrews
  3. ^Autobiography of Sir George Biddel Airy (see Google books)
  4. ^Sir George Biddell Airy KCB. Leaflet available from Playford church
  5. ^"Airy, George Biddell (ARY819GB)".A Cambridge Alumni Database. University of Cambridge.
  6. ^"Sir George Biddell Airy (1801–1892)". Royal Netherlands Academy of Arts and Sciences. Retrieved19 July 2015.
  7. ^Rambaut 1911, pp. 445–446.
  8. ^abcdefghiRambaut 1911, p. 446.
  9. ^Airy, G. B. (1856)."Account of Pendulum Experiments Undertaken in the Harton Colliery, for the Purpose of Determining the Mean Density of the Earth".Philosophical Transactions of the Royal Society.146:343–355.doi:10.1098/rstl.1856.0015.
  10. ^"WGS84 and the Greenwich Meridian". Royal Observatory, Greenwich. Retrieved9 May 2014.
  11. ^"A Guide to Coordinate Systems"(PDF). Ordnance Survey. Archived fromthe original(PDF) on 4 April 2016. Retrieved9 May 2014.
  12. ^Herschel, J. F. W., "Light," inTransactions Treatises on physical astronomy, light and sound contributed to the Encyclopaedia Metropolitana, Richard Griffin & Co., 1828, p. 491.
  13. ^Airy, G. B., "On the Diffraction of an Object-glass with Circular Aperture,"Transactions of the Cambridge Philosophical Society, Vol. 5, 1835, pp. 283–291.
  14. ^Satterthwaite, Gilbert E. (2006). "Airy's Altazimuth".The Antiquarian Astronomer.3.Society for the History of Astronomy:83–94.Bibcode:2006AntAs...3...83S.
  15. ^Howse, Derek (1980).Greenwich time and the discovery of the longitude. Oxford University Press. pp. 138–151.ISBN 0-19-215948-8.
  16. ^Ellis, William (1884)."The Prime Meridian Conference".Nature.31 (784):7–10.Bibcode:1884Natur..31....7E.doi:10.1038/031007c0.S2CID 4108225.
  17. ^abcdChapman, Allan (2006). "Airy, Sir George Biddell (1801–1892)".Oxford Dictionary of National Biography (online ed.). Oxford University Press.doi:10.1093/ref:odnb/251. (Subscription,Wikipedia Library access orUK public library membership required.)
  18. ^Airy, George Biddell; Wilfrid, Airy (1896).The Autobiography of Sir George Biddell Airy. Cambridge University Press. p. 342.OCLC 13130558. Retrieved24 February 2008.edward maunder astronomer.
  19. ^Hutchins, R. (2004). "Adams, John Couch (1819–1892)".Oxford Dictionary of National Biography (online ed.). Oxford University Press.doi:10.1093/ref:odnb/123. (Subscription,Wikipedia Library access orUK public library membership required.)
  20. ^Airy, G. B. (1871)."On the Supposed Alteration in the Amount of Astronomical Aberration of Light, Produced by the Passage of the Light through a Considerable Thickness of Refracting Medium".Proceedings of the Royal Society of London.20 (130–138):35–39.Bibcode:1871RSPS...20...35A.doi:10.1098/rspl.1871.0011.
  21. ^Airy, G. B. (1863)."On the Strains in the Interior of Beams".Philosophical Transactions of the Royal Society.153:49–80.doi:10.1098/rstl.1863.0004.
  22. ^Westergaard, H. M. (1939)."Bearing Pressures and Cracks".Journal of Applied Mechanics.6:49–53.doi:10.1115/1.4008919.
  23. ^Lewis, P.R. (2004).Beautiful Railway Bridge of the Silvery Tay: Reinvestigating the Tay Bridge Disaster of 1879. London: NPI Media Group. pp. 115–116.ISBN 0-7524-3160-9.
  24. ^Ronalds, B.F. (2016).Sir Francis Ronalds: Father of the Electric Telegraph. London: Imperial College Press.ISBN 978-1-78326-917-4.
  25. ^Ronalds, B.F. (June 2016). "Sir Francis Ronalds and the Early Years of the Kew Observatory".Weather.71 (6):131–134.Bibcode:2016Wthr...71..131R.doi:10.1002/wea.2739.S2CID 123788388.
  26. ^Swade, D. D."Calculation and Tabulation in the Nineteenth Century: Airy versus Babbage"(PDF).Doron Swade's PhD Thesis. Retrieved22 June 2016.
  27. ^Hoskin, M (1989). "Astronomers at War: South v. Sheepshanks".Journal for the History of Astronomy.20 (3):175–212.Bibcode:1989JHA....20..175H.doi:10.1177/002182868902000304.S2CID 122410786.
  28. ^Chapman, Allan (January 1998). "The Female Touch".Astronomy Now.12 (1):43–47.Bibcode:1998AsNow..12...43C.
  29. ^Chapman, Allan (June 2003). "Porters, watchmen, and the crime of William Sayers: the non-scientific staff of the Royal Observatory, Greenwich, in Victorian times".Journal of Astronomical History and Heritage.6 (1). James Cook University: 27.Bibcode:2003JAHH....6...27C.doi:10.3724/SP.J.1440-2807.2003.01.03.S2CID 162033494.
  30. ^Goward, K.J. (2005)."G B Airy's Country Retreat".Institute of Astronomy. University of Cambridge. Archived fromthe original on 7 August 2007. Retrieved9 September 2007.
  31. ^abGoward, Kenneth J (2006)."Founding of Orwell Park Observatory".Institute of Astronomy. University of Cambridge. Archived fromthe original on 15 November 2007. Retrieved16 December 2007.
  32. ^Eadie, MJ (2009). "Hubert Airy, contemporary men of science and the migraine aura".J R Coll Physicians Edinb.39 (3):263–267.doi:10.1177/1478271520093903011.PMID 20608346.
  33. ^Fuller, A. T. (2004). "Routh, Edward John (1831–1907)".Oxford Dictionary of National Biography (online ed.). Oxford University Press.doi:10.1093/ref:odnb/35850. (Subscription,Wikipedia Library access orUK public library membership required.)
  34. ^"No. 23868".The London Gazette. 18 June 1872. p. 2801.
  35. ^"What would goods and services costing".Inflation Calculator. Bank of England. Retrieved21 March 2022.
  36. ^A description and images of Airy's Suffolk cottage and church are found in Goward (2005)
  37. ^(page 178)
  38. ^"List of Presidents and Dates of Office".A brief history of the RAS. Royal Astronomical Society. Retrieved10 September 2012.
  39. ^"Book of Members, 1780–2010: Chapter A"(PDF). American Academy of Arts and Sciences. Retrieved6 April 2011.
  40. ^Memoirs and Proceedings of the Manchester Literary Philosophical_Society Manchester Memoirs Fourth Series Third Volume (1890)
  41. ^"Mars Nomenclature: Crater, craters".Gazetteer of Planetary Nomenclature. USGS: Astrogeology Research Program. Retrieved16 August 2007.
  42. ^"George Biddell Airy". University of New Brunswick Libraries. Retrieved6 November 2017.
  43. ^Morton, Oliver (2002).Mapping Mars: Science, Imagination, and the Birth of a World. New York: Picador USA. pp. 22–23.ISBN 0-312-24551-3.
  44. ^"APS Member History".search.amphilsoc.org. Retrieved12 May 2021.
  45. ^Cocks, E. E.; Cocks, J. C. (1995).Who's Who on the Moon: A Biographical Dictionary of Lunar Nomenclature. Tudor Publishers.ISBN 0-936389-27-3.
  46. ^Holthuijsen, Leo H. (2007).Waves in oceanic and coastal waters. Cambridge: Cambridge University Press. p. 106.ISBN 978-0-521-86028-4.
  47. ^"Honorary Fellows list".www.theiet.org. Retrieved5 January 2022.

Sources

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Further reading

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Obituaries

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External links

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