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Author : Richard Fitzpatrick
Publisher : Cambridge University Press
Page : 277 pages
File Size : 51,9 Mb
Release : 2012-06-28
Category : Science
ISBN : 9781107023819
A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.
Author : Olivia Waite
Publisher : HarperCollins
Page : 336 pages
File Size : 51,5 Mb
Release : 2019-06-25
Category : Fiction
ISBN : 9780062931788
As Lucy Muchelney watches her ex-lover’s sham of a wedding, she wishes herself anywhere else. It isn’t until she finds a letter from the Countess of Moth, looking for someone to translate a groundbreaking French astronomy text, that she knows where to go. Showing up at the Countess’ London home, she hoped to find a challenge, not a woman who takes her breath away. Catherine St Day looks forward to a quiet widowhood once her late husband’s scientific legacy is fulfilled. She expected to hand off the translation and wash her hands of the project—instead, she is intrigued by the young woman who turns up at her door, begging to be allowed to do the work, and she agrees to let Lucy stay. But as Catherine finds herself longing for Lucy, everything she believes about herself and her life is tested. While Lucy spends her days interpreting the complicated French text, she spends her nights falling in love with the alluring Catherine. But sabotage and old wounds threaten to sever the threads that bind them. Can Lucy and Catherine find the strength to stay together or are they doomed to be star-crossed lovers?
Author : Carl Ludwig Siegel
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 52,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662082874
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 : Forest Ray Moulton
Publisher : Unknown
Page : 478 pages
File Size : 47,5 Mb
Release : 1914
Category : Science
ISBN : STANFORD:36105046458993
Author : J. M. A. Danby
Publisher : Unknown
Page : 376 pages
File Size : 43,5 Mb
Release : 1962
Category : Celestial mechanics
ISBN : UCAL:B4520798
Author : Alessandra Celletti
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 50,8 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783540851462
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 : Pini Gurfil,P. Kenneth Seidelmann
Publisher : Springer
Page : 522 pages
File Size : 49,6 Mb
Release : 2016-07-28
Category : Science
ISBN : 9783662503706
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 G. Szebehely,Hans Mark
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 47,6 Mb
Release : 2008-07-11
Category : Technology & Engineering
ISBN : 9783527617791
A fascinating introduction to the basic principles of orbital mechanics It has been three hundred years since Isaac Newton first formulated laws to explain the orbits of the Moon and the planets of our solar system. In so doing he laid the groundwork for modern science's understanding of the workings of the cosmos and helped pave the way to the age of space exploration. Adventures in Celestial Mechanics offers students an enjoyable way to become acquainted with the basic principles involved in the motions of natural and human-made bodies in space. Packed with examples in which these principles are applied to everything from a falling stone to the Sun, from space probes to galaxies, this updated and revised Second Edition is an ideal introduction to celestial mechanics for students of astronomy, physics, and aerospace engineering. Other features that helped make the first edition of this book the text of choice in colleges and universities across North America include: * Lively historical accounts of important discoveries in celestial mechanics and the men and women who made them * Superb illustrations, photographs, charts, and tables * Helpful chapter-end examples and problem sets
Author : Dirk Brouwer,Gerald M. Clemence
Publisher : Elsevier
Page : 610 pages
File Size : 55,7 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781483225784
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
Page : 243 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642794544
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 : Edward Belbruno
Publisher : Princeton University Press
Page : 128 pages
File Size : 40,6 Mb
Release : 2018-06-05
Category : Mathematics
ISBN : 9780691186436
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.
Author : Alessandra Celletti,Ettore Perozzi
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 51,6 Mb
Release : 2007-06-24
Category : Science
ISBN : 9780387685779
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 : John Pascal Vinti
Publisher : AIAA
Page : 438 pages
File Size : 47,9 Mb
Release : 1998
Category : Astrodynamics
ISBN : 1600864295
Author : Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 53,8 Mb
Release : 2007-07-05
Category : Mathematics
ISBN : 9783540489269
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 : Alessandro Morbidelli
Publisher : CRC Press
Page : 0 pages
File Size : 45,9 Mb
Release : 2002-05-16
Category : Science
ISBN : 0415279380
In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.