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 George W. Collins, II - Pachart Pub House
The notions of Hamiltonians and Lagrangians are as vital today as they were a century ago and anyone who aspires to a career in astronomy should be exposed to them. There are also items unique to astronomy to which an aspirant should be exposed.
by J.D. Mireles James - Rutgers University
These are notes about some elementary topics in celestial mechanics. They focus primarily on numerical methods for studying n-body problems, but they include enough background material so that they are readable outside the context of that course.