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Analytical Techniques Of Celestial Mechanics
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Book Synopsis Analytical Techniques of Celestial Mechanics by : Victor A. Brumberg
Download or read book Analytical Techniques of Celestial Mechanics written by Victor A. Brumberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.
Book Synopsis Analytical Techniques of Celestial Mechanics by : Victor Brumberg
Download or read book Analytical Techniques of Celestial Mechanics written by Victor Brumberg and published by Springer. This book was released on 2011-12-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.
Book Synopsis An Introduction to Celestial Mechanics by : Forest Ray Moulton
Download or read book An Introduction to Celestial Mechanics written by Forest Ray Moulton and published by . This book was released on 1914 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods of Celestial Mechanics by : Gerhard Beutler
Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2009-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The accompanying online files enable readers to employ this software themselves and also serves as to illustrate and reinforce the related theoretical concepts.
Book Synopsis Analytical and Numerical Methods of Celestial Mechanics by : Gleb Aleksandrovich Chebotarev
Download or read book Analytical and Numerical Methods of Celestial Mechanics written by Gleb Aleksandrovich Chebotarev and published by . This book was released on 1967 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stated purpose of this book is to fill a gap in the Russian-language astronomical literature, which had lacked a fundamental textbook on celestial mechanics. The treatment is limited to detailed step-by-step analysis of six methods on which present-day theories of planetary, cometary, and satellite motion are based, beginning with the differential equations and culminating in a comparison of theory with observations. These are the Laplace-Newcomb method, the Hill planetary method, the method of variation of arbitrary constants, the Hill lunar method, and the periodic-orbit and Cowell methods. (Author).
Book Synopsis The Analytical Foundations of Celestial Mechanics by : Aurel Wintner
Download or read book The Analytical Foundations of Celestial Mechanics written by Aurel Wintner and published by . This book was released on 1941 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Celestial Mechanics and Astrodynamics by : Victor Szebehely
Download or read book Celestial Mechanics and Astrodynamics written by Victor Szebehely and published by Elsevier. This book was released on 2014-09-30 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Mechanics and Astrodynamics
Book Synopsis Methods of Celestial Mechanics by : Dirk Brouwer
Download or read book Methods of Celestial Mechanics written by Dirk Brouwer and published by Elsevier. This book was released on 2013-09-03 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Celestial Mechanics provides a comprehensive background of celestial mechanics for practical applications. Celestial mechanics is the branch of astronomy that is devoted to the motions of celestial bodies. This book is composed of 17 chapters, and begins with the concept of elliptic motion and its expansion. The subsequent chapters are devoted to other aspects of celestial mechanics, including gravity, numerical integration of orbit, stellar aberration, lunar theory, and celestial coordinates. Considerable chapters explore the principles and application of various mathematical methods. This book is of value to mathematicians, physicists, astronomers, and celestial researchers.
Book Synopsis Methods of Celestial Mechanics by : Gerhard Beutler
Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2005-11-20 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Methods of Celestial Mechanics by : Gerhard Beutler
Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on the Geometry of Numbers by : Carl Ludwig Siegel
Download or read book Lectures on the Geometry of Numbers written by Carl Ludwig Siegel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.
Book Synopsis An Introduction to Celestial Mechanics by : Forest Ray Moulton
Download or read book An Introduction to Celestial Mechanics written by Forest Ray Moulton and published by . This book was released on 1914 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Analytical Foundations of Celestial Mechanics by : Aurel Frederick Wintner
Download or read book The Analytical Foundations of Celestial Mechanics written by Aurel Frederick Wintner and published by . This book was released on 1941 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Chaos in Celestial Mechanics by : Alessandra Celletti
Download or read book Stability and Chaos in Celestial Mechanics written by Alessandra Celletti and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts – order, chaos, invariant curves and cantori – followed by the investigation of dynamical systems with numerical methods.
Book Synopsis Analytical Mechanics of Space Systems by : Hanspeter Schaub
Download or read book Analytical Mechanics of Space Systems written by Hanspeter Schaub and published by AIAA. This book was released on 2003 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stable and Random Motions in Dynamical Systems by : Jurgen Moser
Download or read book Stable and Random Motions in Dynamical Systems written by Jurgen Moser and published by Princeton University Press. This book was released on 2016-03-02 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics.
Book Synopsis Essential Spaceflight Dynamics and Magnetospherics by : V. Rauschenbakh
Download or read book Essential Spaceflight Dynamics and Magnetospherics written by V. Rauschenbakh and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Spaceflight Dynamics and Magnetospherics describes, in the first instance, some of the key aspects of celestial mechanics and spaceflight dynamics. It begins with classical two and three body problems illustrative of the aesthetic aspects of applying analytical methods of investigation to celestial mechanics. Then, osculating orbital elements are introduced as well as analysis techniques sufficient to evaluate the influence of various disturbing forces on spacecraft. Next a theory of manoeuvres is outlined and the methodology of making interplanetary trajectory corrections. Ideas involving various approaches to orbital element determinations using measured data are also considered. The forces applied to a spacecraft can result in the development of torques that influence attitude motion and the effects of the most important of these are described in terms of equilibrium positions, periodic motions, steady-state and transient motions. Also considered is the problem of attitude control of a spacecraft using active and/or passive methods of orientation and stabilization. In addition, a more advanced treatment of the development of attitude control systems is provided.
