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. 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 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 Ernest Brown, Clarence Shook - Cambridge University Press
The purpose of this volume is the development of methods for the calculation of the general orbit of a planet. We attempted to anticipate the difficulties which arise, by setting forth the various devices which may be utilized when needed.