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 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 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 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.
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.