The Hill-Brown Theory of the Moon’s Motion Its Coming-to-be and Short-lived Ascendancy (1877-1984)
The Hill–Brown theory of lunar motion was, from its completion in 1908 to its retirement in 1984, the most accurate model of the moon’s orbit. The mathematical, philosophical, and historical interest in the analytic solution of the lunar problem using the Hill–Brown method still engages celestial me...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Sources and Studies in the History of Mathematics and Physical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Hill Lays the Foundation (1877–1878)
- 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 (1892–1908), and Constructs Tables (1908–1919)
- 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-Measurement,Computing, 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 Hill–Brown Theory is Replaced as the Basis of the Lunar Ephemerides
- The Mathematical and Philosophical Interest in an Analytic Solution of the Lunar Problem