Mechanism of the Heavens
by Mary Somerville
Publisher: J. Murray 1831
Number of pages: 710
The Mechanism of the Heavens (1831) was the first english language "rendition" of Pierre Simon Laplace's five volume Mécanique céleste. In this work Somerville, who was later known for her predition of the then undiscovered planets Neptune and Pluto, introduced continental mathematics to english speaking readers for the first time. This led to a revolution in mathematics in the UK, beginning at Cambridge University where the Mechanism of the Heavens became a standard text in courses on higher mathematics.
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by Ernest W Brown - Cambridge University Press
Problem of three bodies, forces on the Moon relative to the Earth, and those on the Sun relative to the centre of mass of the Earth and Moon, force-function and disturbing function usually used, distinction between the lunar and the planetary theories.
by Richard Fitzpatrick - The University of Texas at Austin
This book will bridge the gap between standard undergraduate treatments of celestial mechanics, which rarely advance beyond two-body orbit theory, and full-blown graduate treatments. A knowledge of elementary Newtonian mechanics is assumed.
by Forest Ray Moulton - The MacMillan Company
This is an excellent textbook covering not only celestial mechanics, but a wide range of astrophysics topics. The coverage and detail this book deals with is by no means introductory, and is written for the college level student in mathematics.
by Ernest Brown, Clarence Shook - Cambridge University Press
The purpose of this volume is the development of methods for the calculation of the general orbit of a planet. We attempted to anticipate the difficulties which arise, by setting forth the various devices which may be utilized when needed.