Methods Of Celestial Mechanics

Author : Dirk Brouwer,Gerald M. Clemence
Publisher : Elsevier
Page : 611 pages
File Size : 46,6 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781483225784

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Methods of Celestial Mechanics by Dirk Brouwer,Gerald M. Clemence Pdf

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 : Gerhard Beutler
Publisher : Springer
Page : 466 pages
File Size : 55,5 Mb
Release : 2009-09-02
Category : Science
ISBN : 3540829172

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

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 : Victor A. Brumberg
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642794544

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Analytical Techniques of Celestial Mechanics by Victor A. Brumberg Pdf

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 : Unknown
Page : 478 pages
File Size : 42,5 Mb
Release : 1914
Category : Science
ISBN : STANFORD:36105046458993

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An Introduction to Celestial Mechanics by Forest Ray Moulton Pdf

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 49,6 Mb
Release : 2005-11-21
Category : Science
ISBN : 9783540265122

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

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
Page : 265 pages
File Size : 55,5 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783540851462

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Stability and Chaos in Celestial Mechanics by Alessandra Celletti Pdf

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,Gerhard Scheifele
Publisher : Springer
Page : 0 pages
File Size : 49,9 Mb
Release : 2011-10-24
Category : Science
ISBN : 3642650295

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Linear and Regular Celestial Mechanics by Eduard L. Stiefel,Gerhard Scheifele Pdf

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,P. Kenneth Seidelmann
Publisher : Springer
Page : 522 pages
File Size : 51,8 Mb
Release : 2016-07-28
Category : Science
ISBN : 9783662503706

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Celestial Mechanics and Astrodynamics: Theory and Practice by Pini Gurfil,P. Kenneth Seidelmann Pdf

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 : Victor Szebehely
Publisher : Elsevier
Page : 765 pages
File Size : 44,8 Mb
Release : 2014-09-30
Category : Science
ISBN : 9780323163392

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Celestial Mechanics and Astrodynamics by Victor Szebehely Pdf

Celestial Mechanics and Astrodynamics

Author : Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 46,8 Mb
Release : 2007-07-05
Category : Mathematics
ISBN : 9783540489269

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Mathematical Aspects of Classical and Celestial Mechanics by Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt Pdf

The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.

Author : Hanspeter Schaub,John L. Junkins
Publisher : AIAA
Page : 744 pages
File Size : 49,9 Mb
Release : 2003
Category : Celestial mechanics
ISBN : 1600860273

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Analytical Mechanics of Space Systems by Hanspeter Schaub,John L. Junkins Pdf

Author : Gerhard Beutler
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:895157494

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

Author : Henri Poincaré
Publisher : Unknown
Page : 348 pages
File Size : 45,5 Mb
Release : 1967
Category : Celestial mechanics
ISBN : UIUC:30112106738997

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New Methods of Celestial Mechanics by Henri Poincaré Pdf

Author : Alessandra Celletti,Ettore Perozzi
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 41,8 Mb
Release : 2007-06-24
Category : Science
ISBN : 9780387685779

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Celestial Mechanics by Alessandra Celletti,Ettore Perozzi Pdf

The aim of this book is to demonstrate to a wider audience, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. It sets out to do this without the use of mathematics. After giving the reader the technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.

Author : Edward Belbruno
Publisher : Princeton University Press
Page : 128 pages
File Size : 45,5 Mb
Release : 2018-06-05
Category : Mathematics
ISBN : 9780691186436

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Capture Dynamics and Chaotic Motions in Celestial Mechanics by Edward Belbruno Pdf

This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel. Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions. Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.