The Foundations of Celestial Mechanics
by George W. Collins, II
Publisher: Pachart Pub House 2004
Number of pages: 145
The notions of Hamiltonians and Lagrangians are as vibrate and vital today as they were a century ago and anyone who aspires to a career in astronomy or physics should have been exposed to them. There are also similar historical items unique to astronomy to which an aspirant should be exposed. Astronomical coordinate systems and time should be items in any educated astronomer's 'book of knowledge'. While I realize that some of those items are dated, their existence and importance should still be known to the practicing astronomer.
Home page url
Download or read it online for free here:
(multiple PDF files)
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 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 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.