Hill Lays the Foundation (18771878). - George William Hill Mathematician. - Lunar Theory from the 1740s to the 1870s A Sketch. - Hill on the Motion of the Lunar Perigee. - Hill's Variation Curve. - Early Assessments of Hill's Lunar Theory. - Brown Completes the Theory (18921908) and Constructs Tables (19081919). - E. W. Brown Celestial Mechanician. - First Papers and a Book. - Initiatives Inspired by John Couch Adams' Papers. - Further Preliminaries to the Systematic Development. - Brown's Lunar Treatise: Theory of the Motion of the Moon; Containing a New Calculation of the Expressions for the Coordinates of the Moon in Terms of the Time. - A Solution-Procedure Without Approximations. - The Main Problem Solved. - Correcting for the Idealizations: The Remaining Inequalities. - Direct Planetary Perturbations of the Moon (The Adams Prize Paper). - Indirect Planetary Perturbations of the Moon. - The Effect of the Figures of the Earth and Moon. - Perturbations of Order (?R)2. - The Tables. - Determining the Values of the Arbitrary Constants. - Ernest W. Brown as Theorist and Computer. - Revolutionary Developments in Time-MeasurementComputing and Data-Collection. - Tidal Acceleration Fluctuations and the Earth's Variable Rotation to 1939. - The Quest for a Uniform Time: From Ephemeris Time to Atomic Time. - 1984: The HillBrown Theory is Replaced as the Basis of the Lunar Ephemerides. - The Mathematical and Philosophical Interest in an Analytic Solution of the Lunar Problem. Language: English