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 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 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.
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 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.