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.
Home page url
Download or read it online for free here:
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.
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 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 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.