by J. B. Tatum
The text covers mathematical introduction, gravitational field and potential, celestial sphere, time, planetary motions, the two body problem in two dimensions, computation of an ephemeris, photographic and CCD astrometry, calculation of orbital elements, general perturbation theory, equivalent potential and the restricted three-body problem, visual and spectroscopic binary stars.
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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 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.
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 Richard Fitzpatrick - The University of Texas at Austin
This book will bridge the gap between standard undergraduate treatments of celestial mechanics, which rarely advance beyond two-body orbit theory, and full-blown graduate treatments. A knowledge of elementary Newtonian mechanics is assumed.