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Stability and Chaos in Celestial Mechanics, Alessandra Celletti


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Автор: Alessandra Celletti
Название:  Stability and Chaos in Celestial Mechanics
ISBN: 9783642261565
Издательство: Springer
Классификация:






ISBN-10: 3642261566
Обложка/Формат: Paperback
Страницы: 264
Вес: 0.43 кг.
Дата издания: 2009
Серия: Springer Praxis Books
Язык: English
Иллюстрации: 43 black & white illustrations, biography
Размер: 234 x 156 x 15
Читательская аудитория: General (us: trade)
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.


Stability and Chaos in Celestial Mechanics

Автор: Alessandra Celletti
Название: Stability and Chaos in Celestial Mechanics
ISBN: 3540851453 ISBN-13(EAN): 9783540851455
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Presents classical celestial mechanics and its interplay with dynamical systems. This work uses paradigmatic models, such as the logistic map or the standard map, to introduce the reader to the concepts of order, chaos, invariant curves, and cantori. It approaches the study of collisions in the solar system through regularization theory.

Celestial Mechanics / The Waltz of the Planets

Автор: Celletti Alessandra, Perozzi Ettore
Название: Celestial Mechanics / The Waltz of the Planets
ISBN: 038730777X ISBN-13(EAN): 9780387307770
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The common perception of Celestial Mechanics is that of a discipline which needs advanced mathematics and astronomy to be understood. Yet modern Celestial Mechanics has a rather different taste and a truly interdisciplinary nature. The number of celestial objects known to mankind has dramatically increased, the long-awaited presence of extrasolar planets has been eventually detected around other stars, spaceflight dynamics has brought new applications encompassing rocked dynamics, the place-in-orbit of artificial satellites and interplanetary mission design. Solar System exploration has grown as a long term strategy for the construction of a permanent base on the Moon and a manned mission to Mars.The aim of the book is to show to the people at large, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. After giving to the reader the necessary 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 & stellar systems, spaceflight dynamics) play a major role. As an example, spin-orbit resonances can be explained using fractional algebra and subsequently described in action as "cosmic spinning tops". Easily observable effects such as the existence of a "dark side of the Moon" (and of many other satellites) can be compared to the "complete synchronous rotation" achieved by a geostationary telecommunication satellite in order to be always in view of the receiving parabolas on the ground. On longer time scales, the consequences of spin-orbit interaction may dramatically change the evolution of a planet when chaos enters the scene and must be taken into account in searching habitable planets around other stars.

Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers

Автор: Belbruno, Edward
Название: Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers
ISBN: 0691094802 ISBN-13(EAN): 9780691094809
Издательство: Wiley
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Цена: 15048.00 р.
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Описание: Describes a revolutionary approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive. This work also represents an introductory text to celestial mechanics, dynamical systems, and dynamical astronomy.

Celestial Mechanics and Astrodynamics: Theory and Practice

Автор: Gurfil
Название: Celestial Mechanics and Astrodynamics: Theory and Practice
ISBN: 3662503689 ISBN-13(EAN): 9783662503683
Издательство: Springer
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Цена: 20962.00 р.
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Описание: 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.

Chaos and Stability in Planetary Systems

Автор: Rudolf Dvorak; F. Freistetter; J?rgen Kurths
Название: Chaos and Stability in Planetary Systems
ISBN: 3642421792 ISBN-13(EAN): 9783642421792
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets.

Lectures On Nonlinear Mechanics And Chaos Theory

Автор: Stetz Albert W
Название: Lectures On Nonlinear Mechanics And Chaos Theory
ISBN: 9813143029 ISBN-13(EAN): 9789813143029
Издательство: World Scientific Publishing
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Цена: 4594.00 р.
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Описание: This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. It turns out that many simple mechanical systems suffer from a peculiar malady.

An Introduction to Celestial Mechanics

Автор: Fitzpatrick
Название: An Introduction to Celestial Mechanics
ISBN: 1107023815 ISBN-13(EAN): 9781107023819
Издательство: Cambridge Academ
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Цена: 9346.00 р.
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Описание: A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.

Methods of Celestial Mechanics: Theory, Applications and the Computer Programs

Автор: Beutler, Gerhard
Название: Methods of Celestial Mechanics: Theory, Applications and the Computer Programs
ISBN: 3540407502 ISBN-13(EAN): 9783540407508
Издательство: Springer
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Цена: 14667.00 р.
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Описание: 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 CD-ROM enables readers to employ this software themselves and also serves as to illustrate and reinforce the related theoretical concepts.


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