Between Theory and Observations: Tobias Mayer's Explorations of Lunar Motion, 1751-1755In 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. |
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Continguts
| 1 | |
| 4 | |
13 Conventions | 6 |
The Quest for Lunar Theory | 9 |
22 Application to Navigation | 12 |
23 Astronomical Prerequisites | 15 |
The Pioneers Work | 26 |
32 The Geographers Lunar Tables | 29 |
68 The Preface to the kil Tables of 1753 | 116 |
69 Conclusion | 118 |
Multisteps in Theoria Lunae | 121 |
71 Theoria Lunaes Breakpoint | 122 |
72 Failing Assertions | 127 |
73 Substitution of Arguments | 130 |
74 An Approximation Technique | 133 |
75 The Complete Transform | 136 |
33 New Opportunities | 30 |
Multiple Steps | 33 |
35 Contending for the Longitude Prize | 34 |
36 His Later Researches | 37 |
37 The Boards Decision and Beyond | 39 |
A Manual to the Tables | 43 |
42 SingleStep and Multistep Procedures | 46 |
43 Calendar Conventions | 47 |
44 An Example Computation | 48 |
45 A Note on Accuracy | 54 |
46 The Wanderings of Evection | 55 |
Theoria Lunae | 57 |
52 Circumstances of Composition | 60 |
53 Through a Birds Eye | 63 |
54 Mastering the Theory | 66 |
55 Solved Equations | 88 |
The Horrocks Legacy | 91 |
61 Newton on Lunar Motion 1702 | 92 |
62 The Equations of Newtons Theory | 95 |
63 Horrockss Variable Orbit | 97 |
64 Old Wine in New Bottles | 100 |
65 Lemonniers Version of NTM | 104 |
66 Lunar Tables Probably Older? | 108 |
67 Accuracy of Theories Compared | 114 |
76 Conclusions | 139 |
Hausbackene Combinationen | 143 |
81 A Search in the Literature | 144 |
82 A Variety of Manuscripts | 150 |
83 A Pair of Pliers | 153 |
84 A Role for Each Manuscript | 160 |
85 Spreadsheets | 162 |
86 Results | 173 |
Further Aspects of Model Fitting | 177 |
91 The Quality of Observations | 178 |
92 World Temperature Distribution | 181 |
93 On Averaging and Cancelling | 182 |
A Case of Model Fitting | 185 |
95 Eulers Lunar Tables of 1746 | 195 |
Concluding Observations | 198 |
102 Further Research | 204 |
A Summary | 206 |
Lunar Equations Versions and Aliases | 209 |
Spreadsheet Contents | 217 |
Manuscript Sources | 229 |
| 233 | |
| 241 | |
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Between Theory and Observations: Tobias Mayer's Explorations of Lunar Motion ... Steven Wepster Previsualització no disponible - 2009 |
Between Theory and Observations: Tobias Mayer's Explorations of Lunar Motion ... Steven Wepster Previsualització no disponible - 2012 |
Frases i termes més freqüents
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Informació bibliogràfica
| Títol | Between Theory and Observations: Tobias Mayer's Explorations of Lunar Motion, 1751-1755 Sources and Studies in the History of Mathematics and Physical Sciences |
| Autor | Steven Wepster |
| Edició | il·lustrada |
| Editor | Springer Science & Business Media, 2009 |
| ISBN | 1441913149, 9781441913142 |
| Nre. de pàgines | 246 pàgines |
| Exporta citacions | BiBTeX EndNote RefMan |