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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Astrodynamics is the application of celestial mechanics to the practical problems concerning the motion of spacecraft. Contents: Basic Orbital Mechanics; Orbit Types and Geometries; Orbital Elements; Rocket Equations; Interstellar Orbits.
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 J. B. Tatum
The text covers gravitational field and potential, celestial sphere, time, planetary motions, the two body problem, computation of an ephemeris, astrometry, calculation of orbital elements, perturbation theory, binary stars, and more.
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.