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.
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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.
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.
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 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.