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 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 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.
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.
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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.