Mathematical Theories of Planetary Motions
by Otto Dziobek
Publisher: The Register Pub. Co. 1892
Number of pages: 314
This work is intended not merely as an introduction to the special study of astronomy, but rather for the student of mathematics who desires an insight into the creations of his masters in this field. The author has endeavored to meet this need and at the same time to produce a book which shall be so near the present state of the science as to include recent investigations and to indicate unsettled questions.
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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 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 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 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.