The Hill-Brown Theory of the Moon's Motion / Sources and Studies in the History of Mathematics and Physical Sciences (PDF)
Its Coming-to-be and Short-lived Ascendancy (1877-1984)
(Sprache: Englisch)
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...
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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 mechanicians, and is the primary focus of this work.
This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill-Brown theory in 1984.
Although some calculus and differential equations are included, the text is largely accessible without advanced knowledge in these areas. Amateurs of astronomy, as well as instructors and scholars of the general history of science, will find this book of significant interest.
This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill-Brown theory in 1984.
Although some calculus and differential equations are included, the text is largely accessible without advanced knowledge in these areas. Amateurs of astronomy, as well as instructors and scholars of the general history of science, will find this book of significant interest.
Bibliographische Angaben
- Autor: Curtis Wilson
- 2010, 2010, 323 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 1441959378
- ISBN-13: 9781441959379
- Erscheinungsdatum: 03.06.2010
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- Größe: 2.73 MB
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Sprache:
Englisch
Pressezitat
From the reviews:“This is the second book on historical aspects of lunar theory to have been published by Springer within a twelve-month period. … the text is largely accessible without specialist knowledge of its central themes. … this text is mainly one for specialists. … the history of lunar theory introduces many fascinating ideas, and it refers very many creative mathematicians and astronomers.” (Peter Ruane, The Mathematical Association of America, August, 2010)
“This excellent book is a cornerstone in the history of astronomy. It deals with the Hill-Brown theory of the Moon’s motion between 1877 and 1984. … This lively written book contains many biographical notes and well-founded historical comments, and thus can be recommended to amateurs in astronomy and science history, and to instructors and scholars interested in the rapid development of astronomy and physics.” (Johannes Viktor Feitzinger, Zentralblatt MATH, Vol. 1202, 2011)
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