Introduction To Celestial Mechanics
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An Introduction to Celestial Mechanics
Author: Richard Fitzpatrick
language: en
Publisher: Cambridge University Press
Release Date: 2012-06-28
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.
An Introduction to Celestial Mechanics
Author: Forest Ray Moulton
language: en
Publisher: Courier Corporation
Release Date: 1970-01-01
An unrivaled text in the field of celestial mechanics, Moulton's theoretical work on the prediction and interpretation of celestial phenomena has not been superseded. By providing a general account of all parts of celestial mechanics without an over-full treatment of any single aspect, by stating all the problems in advance, and, where the transformations are long, giving an outline of the steps which must be made, and by noting all the places where assumptions have been introduced or unjustified methods employed, Moulton has insured that his work will be valuable to all who are interested in the subject. The text is divided into ten chapters which progress logically in terms of the difficulty of their subject matter. They are: Fundamental Principles and Definitions, Rectilinear Motion, Central Forces, The Potential and Attractions of Bodies, The Problem of Two Bodies, The Determination of Orbits, The General Integrals of the Problem of n Bodies, The Problem of Three Bodies, Perturbations ? Geometrical Considerations, and Perturbations ? Analytical Method. Important topics cove red include general equations, motion of falling particles, the heat of the sun, simultaneous differential equations, examples where J is a function of the coordinates alone, the universality of Newton's law, determination of the orbit from the law of force, attractions of simple solids, potential and attractions of simple bodies and ellipsoids, Ivory's method and level surfaces, elements of orbits, expansions and positions in orbits, transformations of coordinates, the Laplacian and Gaussian methods of determining orbits, motion of center of mass and area integrals, motion of the infinitesimal body, surfaces of zero relative velocity, effects of the components of the disturbing force, lunar theory, method of computing perturbations, and the perturbative function. Each chapter is followed by a historical sketch and bibliography pertaining to that subject. Over 200 problems appear at key points in the text, many of them answered.
Methods of Celestial Mechanics
Author: Gerhard Beutler
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-11-20
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.