Celestial Mechanics: Notes and Work
by J.D. Mireles James
Publisher: Rutgers University 2007
Number of pages: 128
These are notes about some elementary topics in celestial mechanics. They focus primarily on numerical methods for studying n-body problems (especially the circular restricted three body problem), but they include enough background material and references so that they are readable outside the context of that course.
Home page url
Download or read it online for free here:
(multiple PDF files)
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 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 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 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.