The Hill-Brown Theory of the Moon’s Motion

Its Coming-to-be and Short-lived Ascendancy (1877-1984)

Authors:

ISBN: 978-1-4419-5936-2 (Print) 978-1-4419-5937-9 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Hill Lays the Foundation (1877–1878)

    1. Front Matter

      Pages 1-1

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      Pages 3-8

      George William Hill, Mathematician

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      Pages 9-30

      Lunar Theory from the 1740s to the 1870s – A Sketch

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      Pages 31-53

      Hill on the Motion of the Lunar Perigee

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      Pages 55-68

      Hill’s Variation Curve

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      Pages 69-72

      Early Assessments of Hill’s Lunar Theory

  3. Brown Completes the Theory (1892–1908), and Constructs Tables (1908–1919)

    1. Front Matter

      Pages 73-73

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      Pages 75-77

      E. W. Brown, Celestial Mechanician

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      Pages 79-108

      First Papers and a Book

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      Pages 109-122

      Initiatives Inspired by John Couch Adams’ Papers

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      Pages 123-135

      Further Preliminaries to the Systematic Development

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      Pages 137-155

      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

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      Pages 157-165

      A Solution-Procedure Without Approximations

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      Pages 167-170

      The “Main Problem” Solved

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      Pages 171-180

      Correcting for the Idealizations: The Remaining Inequalities

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      Pages 181-191

      Direct Planetary Perturbations of the Moon (The Adams Prize Paper)

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      Pages 193-200

      Indirect Planetary Perturbations of the Moon

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      Pages 201-206

      The Effect of the Figures of the Earth and Moon

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      Pages 207-207

      Perturbations of Order (δR)2

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      Pages 209-217

      The Tables

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      Pages 219-223

      Determining the Values of the Arbitrary Constants

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      Pages 225-234

      Ernest W. Brown as Theorist and Computer

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