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Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods (Astronomy and Astrophysics Library) - Softcover
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This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. The book is meant for students in astronomy and physics with a knowledge of calculus and differential geometry.
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This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion.
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Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods
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Theory of Orbits (Paperback)
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ISBN 13: 9783642082108
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Paperback. Condition: new. Paperback. This textbook treats Celestial Mechanics as well as Stellar Dynamics from the common point of view of orbit theory making use of the concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian Mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. Volume 1 begins with classical mechanics and a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. A final chapter deals with integrability of Hamilton-Jacobi systems. Half a century ago, S. Chandrasekhar wrote these words in the preface to his l celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dyA namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ . J Indeed, several of the problems of modern stellar dyA namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at varA ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be conA sidered from the point of view of celestial mechanics (the N-body problem with N 1), fluid mechanics (the system is represented by a material conA tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the sys Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783642082108
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Theory of Orbits
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ISBN 10: 3642082106
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First textbook which treats celestial mechanics and stellar dynamics at the same level of presentationBoth fields are extremely active for theoretical as well as observational reasonsHalf a century ago, S. Chandrasekhar wrote these words i. Seller Inventory # 5047256
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