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.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.
Astrodynamics is the application of celestial mechanics to the practical problems concerning the motion of spacecraft. Contents: Basic Orbital Mechanics; Orbit Types and Geometries; Orbital Elements; Rocket Equations; Interstellar Orbits.
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.