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The Hill-Brown Theory of the Moon’s Motion

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Cover of 'The Hill-Brown Theory of the Moon’s Motion'

Table of Contents

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    Book Overview
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    Chapter 1 George William Hill, Mathematician
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    Chapter 2 Lunar Theory from the 1740s to the 1870s – A Sketch
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    Chapter 3 Hill on the Motion of the Lunar Perigee
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    Chapter 4 Hill’s Variation Curve
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    Chapter 5 Early Assessments of Hill’s Lunar Theory
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    Chapter 6 E. W. Brown, Celestial Mechanician
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    Chapter 7 First Papers and a Book
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    Chapter 8 Initiatives Inspired by John Couch Adams’ Papers
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    Chapter 9 Further Preliminaries to the Systematic Development
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    Chapter 10 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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    Chapter 11 A Solution-Procedure Without Approximations
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    Chapter 12 The “Main Problem” Solved
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    Chapter 13 Correcting for the Idealizations: The Remaining Inequalities
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    Chapter 14 Direct Planetary Perturbations of the Moon (The Adams Prize Paper)
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    Chapter 15 Indirect Planetary Perturbations of the Moon
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    Chapter 16 The Effect of the Figures of the Earth and Moon
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    Chapter 17 Perturbations of Order ( δR ) 2
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    Chapter 18 The Tables
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    Chapter 19 Determining the Values of the Arbitrary Constants
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    Chapter 20 Ernest W. Brown as Theorist and Computer
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    Chapter 21 Introduction
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    Chapter 22 Tidal Acceleration, Fluctuations, and the Earth’s Variable Rotation, to 1939
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    Chapter 23 The Quest for a Uniform Time: From Ephemeris Time to Atomic Time
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    Chapter 24 1984: The Hill–Brown Theory is Replaced as the Basis of the Lunar Ephemerides
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    Chapter 25 The Mathematical and Philosophical Interest in an Analytic Solution of the Lunar Problem
Attention for Chapter 13: Correcting for the Idealizations: The Remaining Inequalities
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Chapter title
Correcting for the Idealizations: The Remaining Inequalities
Chapter number 13
Book title
The Hill-Brown Theory of the Moon’s Motion
Published by
Springer, New York, NY, January 2010
DOI 10.1007/978-1-4419-5937-9_13
Book ISBNs
978-1-4419-5936-2, 978-1-4419-5937-9
Authors

Curtis Wilson, Wilson, Curtis

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