George William Hill

George William Hill's AcademicInfluence.com Rankings

George William Hill

Physics

#857

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Astronomy

#220

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physics Degrees

George William Hill

Mathematics

#1248

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Measure Theory

#3450

Historical Rank

mathematics Degrees

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Mathematics

Why Is George William Hill Influential?

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According to Wikipedia, George William Hill was an American astronomer and mathematician. Working independently and largely in isolation from the wider scientific community, he made major contributions to celestial mechanics and to the theory of ordinary differential equations. The importance of his work was explicitly acknowledged by Henri Poincaré in 1905. In 1909 Hill was awarded the Royal Society's Copley Medal, "on the ground of his researches in mathematical astronomy". Today, he is chiefly remembered for the Hill differential equation.

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George William Hill's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Researches in the Lunar Theory (832)
On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon (1886) (471)
Motion of a system of material points under the action of gravitation (1913) (25)
On the values of the eccentricities and longitudes of the perihelia of Jupiter and Saturn for distant epochs (1897) (15)
Application of Tchebychef's Principle in the Projection of Maps (1908) (14)
Solution of a Problem (1874) (13)
Review of Darwin's Periodic Orbits (11)
Illustrations of periodic solutions in the problem of three bodies, (Second Article) (8)
The Secular Acceleration of the Moon (1878) (6)
A Method of Computing Absolute Perturbations (5)
On Dr. Weiler's secular acceleration of the moon's mean motion (5)
REMARKS ON THE PROGRESS OF CELESTIAL MECHANICS SINCE THE MIDDLE OF THE CENTURY. (1896) (5)
On the Development of the Perturbative Function in Periodic Series (1875) (5)
Secular Perturbations of the Planets (1901) (5)
The secular perturbations of the four outer planets (1913) (4)
On the connection of precession and nutation with the figure of theearth (1893) (4)
On Intermediate Orbits (4)
On the extension of Delaunay’s method in the lunar theory to the general problem of planetary motion (1900) (4)
Integrals of planetary motion suitable for an indefinite length of time (1905) (3)
PROFESSOR SIMON NEWCOMB AS AN ASTRONOMER. (1909) (3)
Remarks on the progress of celestial mechanics since the middle of the century (concluded) (1896) (3)
Mr. Hill's paper on the motion of the Moon's perigee (1878) (3)
Literal Expression for the Motion of the Moon's Perigee (3)
On the Derivation of the Mass of Jupiter from the Motion of Certain Asteroids (2)
Ptolemy's problem (1900) (2)
Memoir no. 46: On Leverrier's determination of the second-order terms in the secular motions of the eccentricities and perihelia of Jupiter and Saturn (1889) (2)
On the convergence of the series used in the subject of perturbations (2)
Note on Hansen's General Formulae for Perturbations (2)
Mr. G. W. Hill's paper on Gauss's method of computing secular perturbations (1882) (2)
On Gauss's method of computing secular perturbations, with an application to the action of Venus on Mercury (2)
On intermediary orbits in the lunar theory (1897) (2)
Demonstration of the Differential Equations Employed by Delaunay in the Lunar Theory (1876) (2)
The secular variation of the motion of the moon's perigee (1890) (2)
Coplanar Motion of Two Planets, One Having a Zero Mass (1887) (2)
Empirical Formula for the Volume of Atmospheric Air (1877) (1)
Note on the mass of Mercury (1898) (1)
Errata [The periodic solution as a first approximation in the lunar theory] (1895) (1)
On the application of Delaunay transformations to the elaboration of the secular perturbationsof the solar system (1902) (1)
Tell it to the marines : film (1)
On the inequalities in the lunar theory strictly proportional to the solar eccentricity (1899) (1)
On the Interior Constitution of the Earth as Respects Density (1888) (1)
On the Motion of the Centre of Gravity of the Earth and Moon (1878) (1)
The motion of Hyperion and the mass of Titan (1888) (1)
Determination of the inequalities of the moon's motion which are produced by the figure of the earth : a supplement to Delaunay's lunar theory (1)
The Jovian evection in the lunar theory (1)
Memoir no. 49: On certain lunar inequalities due to the action of Jupiter (1)
Solutions of Problems in Number 1, Vol. II. (1875) (1)
On Differential Equations with Periodic Integrals (1887) (1)
Solution of Problem 67 (1875) (1)
Notes on the Theories of Jupiter and Saturn [Continued] (1881) (0)
Errata [Jupiter perturbations of Ceres, of the first order, and the derivation of the mean elements] (1896) (0)
Elementary Treatment of the Problem of Two Bodies (1874) (0)
Societies' Proceedings (1915) (0)
Hell divers : film (0)
Errata: “On the extension of Delaunay’s method in the lunar theory to the general problem of planetary motion” [Trans. Amer. Math. Soc. 1 (1900), no. 2, 205–242; 1500534] (1900) (0)
Development of functions in power series from special values (1904) (0)
Chapter XIII: Calculation of the portion of δT' not factored by nt (0)
Additional Formulae in Finite Differences (0)
Normal positions of (I) Ceres (1900) (0)
Problem Relating to the Determination of Circular Orbits (1874) (0)
Memoir no. 38: On certain possible abbreviations in the computation of the long-period inequalities of the Moon's motion due to the direct action of the planets (0)
Remarks on the Stability of Planetary Systems (1874) (0)
Chapter VII: Perturbations of Jupiter and Saturn by the four interior planets (0)
Useful Formulae in the Calculus of Finite Differences (1874) (0)
a reply to Mr. Neison's strictures on Delaunay's method of determining the planetary perturbations of the Moon (1886) (0)
Observations on Professor Newcomb's determination of the principal element of precession (1898) (0)
The Cossacks : film (0)
Field and garden seeds : price list, January 18, 1932 / (0)
Examples of periplegmatic orbits (0)
Memoir no. 43: On differential equations with periodic integrals (0)
Elements and perturbations of Jupiter and Saturn (0)
Societies' Proceedings (1915) (0)
Solution of Problem 89 (1876) (0)
On a Long Period Inequality in the Motion of Hestia arising from the Action of the Earth (0)
New Elements and Ephemeris of the Great Comet of 1858. By Prof. G. W. Hill (0)
Additional note on the mass of Mercury (0)
Additional terms in the great inequalities of Jupiter and Saturn (1891) (0)
Chapter VI: Perturbations of Jupiter by Neptune (0)
Answer to Prof. Brooks' Query (1874) (0)
On the use of the sphero-conic in astronomy (1901) (0)
Deduction of the Power Series Representing a Function from Special Values of the Latter (1905) (0)
On the Lunar Inequalities Produced by the Motion of the Ecliptic (1884) (0)
The limited mail : film (0)
Buy Hill's garden seed in bulk / (0)
Review of "Theory of the Moon's Motion Deduc'd from the Law of Universal Gravitation (1882) (0)
The barrier : film (0)
MEMOIR OF SIMON NEWCOMB (1909) (0)
Erratum [The theorems of Lagrange and Poisson on the invariability of the greater axes in an ordinary planetary system] (1904) (0)
Mr. Hill's researches on the lunar theory (1879) (0)
On gastroscopy : with a description of a new, easy, and efficient method of œsophago-gastroscopy, combining direct and indirect vision; and a plea for its employment by gastric experts (0)
Comparison of the new tables of Jupiter and Saturn (1904) (0)
Flying fleet : film (0)
Notes on the Theories of Jupiter and Saturn (1881) (0)
On the Solution of Cubic and Biquadratic Equations (0)
Solutions of Problems in No. 2 (1874) (0)
The Secular Perturbations of Two Planets Moving in the Same Plane; With Application to Jupiter and Saturn (1890) (0)
Attraction of the Homogeneous Spherical Segment (1907) (0)
Chapter XIX: Calculation of the several portions of δ 2T' (0)
Zander the great : film (0)
The Hill billy : film (0)
On the Inequality of Long Period in the Longitude of Saturn, whose argument is six times the mean anomaly of Saturn minus twice that of Jupiter minus three times that of Uranus (0)
Reduction of the Problem of Three Bodies (1876) (0)
Hypergeometric series and Walker's tables of the LeVerrier coefficients (0)

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