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Between Theory and Observations: Tobias Mayer's Explorations of Lunar Motion, 1751-1755 2010 ed. [Kietas viršelis]

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In the 18th century, purely scientific interests as well as the practical necessities of navigation motivated the development of new theories and techniques to accurately describe celestial and lunar motion."Between Theory and Observations" presents a detailed and accurate account, not to be found elsewhere in the literature, of Tobias Mayer's important contributions to the study of lunar motion-including the creation of his famous set of lunar tables, which were the most accurate of their time.

This book presents a detailed and rigorous account of the work of Tobias Mayer, a mathematician and astronomer of the middle 18th century. Mayer's most famous contribution is his set of lunar tables, which were the best available in their time.

Recenzijos

From the reviews:

Tobias Mayer, whose work on lunar motion is the subject of this book by Steven Wepster . Wepster provides evidence to show that his work on lunar tables is also based upon Newtons attempts. I think that the only way to gain insight into the intricacies of his lunar tables is to study this unique and interesting book. of interest to historians of mathematics and astronomers. no other book that researches this topic so thoroughly as this one by Stephen Wepster. (Peter Ruane, The Mathematical Association of America, May, 2010)

The present study investigates the evolution of Tobias Mayers lunar theory and tables. Mayers technique of adjusting the coefficients of his lunar tables to fit an extensive collection of observational data is examined in detail, and it is clear that his efforts were unprecedented. This volume will be warmly welcomed not only by those who are interested in the historical development of the theory of lunar motion but also by historians of mathematics and astronomy.­­­ (William R. Shea, Mathematical Reviews, Issue 2010 j)

Preface v
List of Figures
xi
List of Displays
xiii
Introduction
1(8)
Subject
1(3)
Organization
4(2)
Conventions
6(3)
The Quest for Lunar Theory
9(18)
Scientific Significance
9(3)
Application to Navigation
12(3)
Astronomical Prerequisites
15(12)
The Pioneer's Work
27(16)
Youth and Early Career
27(2)
The Geographer's Lunar Tables
29(1)
New Opportunities
30(3)
A Shift in Strategy: Multiple Steps
33(1)
Contending for the Longitude Prize
34(3)
His Later Researches
37(2)
The Board's Decision and Beyond
39(4)
A Manual to the Tables
43(14)
On Tables
43(3)
Single-Step and Multistep Procedures
46(1)
Calendar Conventions
47(1)
An Example Computation
48(6)
A Note on Accuracy
54(1)
The Wanderings of Evection
55(2)
Theoria Lunae
57(34)
Background
57(3)
Circumstances of Composition
60(3)
Through a Bird's Eye
63(3)
Mastering the Theory
66(22)
Solved Equations
88(1)
Concluding Remarks
88(3)
The Horrocks Legacy
91(30)
Newton on Lunar Motion, 1702
92(3)
The Equations of Newton's Theory
95(2)
Horrocks's Variable Orbit
97(3)
Old Wine in New Bottles
100(4)
Lemonnier's Version of NTM
104(4)
Lunar Tables, Probably Older?
108(6)
Accuracy of Theories Compared
114(2)
The Preface to the kil Tables of 1753
116(2)
Conclusion
118(3)
Multisteps in Theoria Lunae
121(22)
Theoria Lunae's Breakpoint
122(5)
Failing Assertions
127(3)
Substitution of Arguments
130(3)
An Approximation Technique
133(3)
The Complete Transform
136(3)
Conclusions
139(4)
`Hausbackene Combinationen'
143(34)
A Search in the Literature
144(6)
A Variety of Manuscripts
150(3)
A Pair of Pliers
153(7)
A Role for Each Manuscript
160(2)
Spreadsheets
162(11)
Results
173(4)
Further Aspects of Model Fitting
177(22)
The Quality of Observations
178(3)
World Temperature Distribution
181(1)
On Averaging and Cancelling
182(3)
Libration: A Case of Model Fitting
185(10)
Euler's Lunar Tables of 1746
195(4)
Concluding Observations
199(34)
General Conclusion
199(5)
Further Research
204(2)
The Development of Mayer's Lunar Tables: A Summary
206(3)
Lunar Equations: Versions and Aliases
209(8)
Spreadsheet Contents
217(12)
Manuscript Sources
229(4)
References 233(8)
Index 241