An introductory treatise on the lunar theory
by Ernest W Brown
Publisher: Cambridge University Press 1896
Number of pages: 312
A high level mathematical exposition of the motion of our Moon. In order to understand the lunar theory, some acquaintance with the older methods is desirable. In the following pages, an attempt has been made to supply a want in this direction, by giving the general principles underlying the methods of treatment, together with an account of the manner in which they have been applied in the theories of Laplace, de Pontcoulant, Hansen, Delaunay, and in the new method with rectangular coordinates. The explanation of these methods, and not the actual results obtained from them, having been my chief aim, only those portions of the developments and expansions, required for the fulfilment of this object, have been given.
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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 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.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.