George W. Hill Bibliography

Papers, etc.

Hill left his library and papers to Columbia University. Some correspondence is at the U.S. Naval Observatory Library.

Other References: Historical

“History of the N.Y. Mathematical Society” American Mathematical Society Semicentennial Publications I, 117-124 (NY, 1938). [Ch. XV, which contains this biography of Hill, is available from the American Mathematical Society website, but it is 36.6 MB].

Barrow-Green, June. Poincaré and the Three Body Problem (American Mathematical Society, Providence, RI, 1997).

Gutzwiller, Martin C., “Moon-Earth-Sun: The Oldest Three-Body Problem,” Rev. Mod. Phys. 70, 589–639 (1998).

Hill, G.W., “Remarks on the Progress of Celestial Mechanics since the Middle of the Last Century: Presidential address delivered before the American Mathematical Society, December 27, 1895,” Bull. Am. Math. Soc. 2, 125-136 (1896). Also in Observatory 19, 323-26, 355-58, 392-94(1896).

O’Connor, J.J. & E.F. Robertson, “Orbits and Gravitation”
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Orbits.html

O’Connor, J.J. & E.F. Robertson, “George William Hill’s New Theory of Jupiter and Saturn”
http://www-groups.dcs.st-and.ac.uk/~history/Extras/Hill_Jupiter_Saturn.html

Rutgers University, “A History of Mathematics at Rutgers”
http://www.math.rutgers.edu/~weibel/history.html

U.S. Naval Observatory, “The Nautical Almanac Office: A Brief History”
http://aa.usno.navy.mil/about/staff/docs/history.php

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Other References:Scientific

Hill, George William,The Collected Mathematical works of George William Hill, vols. 1-4, with an introduction by H. Poincaré (Carnegie Institution of Washington, Washington, DC, 1905-07). [Available online at Cornell University: vol. 1, 2, 3, 4]

Hill, G.W., “On the Conformation of the Earth,” Mathematical Monthly 3, 6, 166-82 (1861) [First Prize Essay].

Hill, G.W., “New Elements and Ephemeris of the Great Comet of 1858,” Astronomische Nachrichten 64, 181-90 (1865).

Hill, G.W., Tables of Venus, Prepared for the Use of the American Ephemeris and Nautical Almanac. (Bureu of Navigation, Washington, D.C., 1872).

Hill, G.W., “Mr. Hill’s Researches on the Lunar Theory,” MNRAS 39, 258-60 (1879).

Hill, G.W., “Mr. G.W. Hill on the Lunar Inequalities due to the Ellipticity of the Earth,” MNRAS 46, 231-34 (1886).

Hill, G.W., “The Motion of Hyperion and the Mass of Saturn,” Astronomical Journal 8, 57-62 (1888).

Hill, G.W., A New Theory of Jupiter and Saturn (United States. Nautical Almanac Office, Washington, DC, 1890).

Hill, G.W., “The Periodic Solution as a First Approximation in the Lunar Theory,” Astronomical Journal 15, 137-43 (1895).

Hill, G.W., “Note on the Mass of Mercury,” Astronomical Journal 19, 157-58 (1898) and 19, 167 (1899).

Hill, G.W., “Observations on Professor Newcomb’s Determination of the Principal Element of Precession,” Astronomical Journal 18, 153-56 (1898).

Hill, G.W., “Extension of Delaunay’s Method in the Lunar Theory to the General Problem of Planetary Motion,” Trans. Amer. Math Soc. 1, 205-42 (1900).

Hill, G.W., “Illustrations of Periodic Solutions in the Problem of Three Bodies,” Astronomical Journal 22, 93-97 (1902) and 117-21.

Hill, G.W., “Comparison of the new tables of Jupiter and Saturn,” Astronomical Journal 24, 60-61 (1904).

Hill, G.W., “Motion of a System of Material Points under the Action of Gravitation,” Astronomical Journal 27, 171-182 (1913).

Hill, G.W., “The Secular Perturbations of the Four Outer Planets,” Astronomical Journal 28, 59-71 (1913).

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George W. Hill

Please send comments, additions, corrections, and questions to
joe.tenn@sonoma.edu
JST
2008-05-31