Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers, Belbruno, Edward
Автор: Fitzpatrick Название: An Introduction to Celestial Mechanics ISBN: 1107023815 ISBN-13(EAN): 9781107023819 Издательство: Cambridge Academ Рейтинг: Цена: 9779 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.
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.
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.
Автор: Alessandra Celletti Название: Stability and Chaos in Celestial Mechanics ISBN: 3540851453 ISBN-13(EAN): 9783540851455 Издательство: Springer Рейтинг: Цена: 19897 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Sergio Elaskar; Ezequiel del R?o Название: New Advances on Chaotic Intermittency and its Applications ISBN: 3319478362 ISBN-13(EAN): 9783319478364 Издательство: Springer Рейтинг: Цена: 18366 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data.As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work.This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincar? map.Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Автор: Pierre Collet; M. Courbage; S. M?tens; A. Neishtad Название: Chaotic Dynamics and Transport in Classical and Quantum Systems ISBN: 1402029454 ISBN-13(EAN): 9781402029455 Издательство: Springer Рейтинг: Цена: 27550 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers a contemporary and pedagogical view on theories of classical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atom-optic devices and to control of chaotic transport.
Автор: Pierre Collet; M. Courbage; S. M?tens; A. Neishtad Название: Chaotic Dynamics and Transport in Classical and Quantum Systems ISBN: 1402029462 ISBN-13(EAN): 9781402029462 Издательство: Springer Рейтинг: Цена: 25254 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers a view on theories of classical and quantum in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, and oceans and to control of chaotic transport. This book is issued from lecture notes of the International Summer School on `Chaotic Dynamics and Transport in Classical and Quantum Systems`.
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