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 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. 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 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.