An Introduction to Celestial Mechanics
by Richard Fitzpatrick
Publisher: The University of Texas at Austin 2011
Number of pages: 216
A complete set of lecture notes for an upper-division undergraduate celestial mechanics course. The course concentrates on those aspects of celestial mechanics that can be studied analytically. Topics covered include gravitational potential theory, Keplerian orbit theory, the precession of planetary perihelia, the figure of the Earth, tides, the free and forced precession and nutation of the Earth, the three-body problem, lunar motion, and orbital perturbation theory.
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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 Mary Somerville - J. Murray
This book, written in 1831, introduced continental mathematics to english speaking readers for the first time. This led to a revolution in UK mathematics, beginning at Cambridge University where this book became a standard text.