Methods Of Celestial Mechanics

Author : Gerhard Beutler
Publisher : Springer
ISBN 13 : 9783540829171
Total Pages : 466 pages
Book Rating : 4.72/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer. This book was released on 2009-09-02 with total page 466 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.

Author : Dirk Brouwer
Publisher : Elsevier
ISBN 13 : 148322578X
Total Pages : 611 pages
Book Rating : 4.84/5 ( download)

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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 611 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.

Author : Victor A. Brumberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642794548
Total Pages : 243 pages
Book Rating : 4.44/5 ( download)

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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.

Author : Forest Ray Moulton
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.93/5 ( download)

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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:

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
ISBN 13 : 3540265120
Total Pages : 452 pages
Book Rating : 4.22/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 452 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.

Author : Alessandra Celletti
Publisher : Springer Science & Business Media
ISBN 13 : 3540851461
Total Pages : 265 pages
Book Rating : 4.62/5 ( download)

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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.

Author : Eduard L. Stiefel
Publisher : Springer
ISBN 13 : 9783642650291
Total Pages : 0 pages
Book Rating : 4.95/5 ( download)

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Download or read book Linear and Regular Celestial Mechanics written by Eduard L. Stiefel and published by Springer. This book was released on 2011-10-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our presentation of some fundamental domains of celestial mechanics requires no special preliminary knowledge; however, the chosen mathe matical method is new in so far as the pure two-body motion is described by linear differential equations, which even have constant coefficients. In other words an equivalence between the Keplerian motion and a harmonic oscillation is established; this approach to celestial mechanics will be referred to as the linear theory. Besides the possibility of the mutual fruitful interaction between celestial and oscillatory mechanics which is thereby created, our linear differential equations are as a result everywhere regular. The opposite is true of the classical Newtonian equations, which are singular at the collision of the two moving bodies"'Reg~larization is however not the leitmotiv of the book; the many regularization methods [1] which do not lead to linear differential equations are therefore not described. Apart from the basic idea of the use of linear differential equations and the resulting advantages, there were two further scientific goals which we had in mind. First, it should be permissible not only to transform the coordinates of the mobile but also to introduce other independent variables instead of the time. The often cumbersome solution of the Keplerian equation in theoretical studies can thereby be avoided. This leads to the further consequence that the linear theory is uniform with respect to the value of the eccentricity.

Author : Pini Gurfil
Publisher : Springer
ISBN 13 : 3662503700
Total Pages : 522 pages
Book Rating : 4.06/5 ( download)

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Download or read book Celestial Mechanics and Astrodynamics: Theory and Practice written by Pini Gurfil and published by Springer. This book was released on 2016-07-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics.

Author : Carl Ludwig Siegel
Publisher : Springer Science & Business Media
ISBN 13 : 366208287X
Total Pages : 168 pages
Book Rating : 4.74/5 ( download)

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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.

Author : Victor Szebehely
Publisher : Elsevier
ISBN 13 : 0323163394
Total Pages : 765 pages
Book Rating : 4.92/5 ( download)

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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 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Mechanics and Astrodynamics