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Author: William Thynne Lynn
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
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Book Description
Author: William J. Boerst
Publisher: Morgan Reynolds Publishing
ISBN: 9781883846985
Category : Astronomers
Languages : en
Pages : 0
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Book Description
As a student in Germany in the sixteenth century, Johannes Kepler became convinced the Sun was at the center of the planets and the universe operated on the same mathematical principles that govern musical harmony. He devoted his life to understanding this system of celestial harmony. In the process, he discovered the first three laws of planetary motion and founded the science of physical astronomy. Book jacket.
Author: Edward Belbruno
Publisher: Princeton University Press
ISBN: 069118643X
Category : Mathematics
Languages : en
Pages : 232
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Book Description
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 Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated.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: V.V. Beletsky
Publisher: Birkhäuser
ISBN: 3034883609
Category : Technology & Engineering
Languages : en
Pages : 382
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Book Description
Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book’s emphasis is on analysis carried out on the level of graphs and drawings, and sometimes numbers, revealing the beauty of the research process leading to the results.
Author: Panos Photinos
Publisher: Morgan & Claypool Publishers
ISBN: 1627056815
Category : Science
Languages : en
Pages : 126
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Book Description
Visual Astronomy introduces the basics of observational astronomy, a fundamentally limitless opportunity to learn about the universe with your unaided eyes or with tools such as binoculars, telescopes, or cameras. The book explains the essentials of time a
Author: Jurgen Moser
Publisher: Princeton University Press
ISBN: 1400882699
Category : Science
Languages : en
Pages : 216
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Book Description
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics.
Author: Dirk Brouwer
Publisher: Elsevier
ISBN: 148322578X
Category : Science
Languages : en
Pages : 611
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Book Description
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: Richard Fitzpatrick
Publisher: Cambridge University Press
ISBN: 1139510940
Category : Science
Languages : en
Pages : 277
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Book Description
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 550
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 730
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Book Description
Author: Theokritos Kouremenos
Publisher: Franz Steiner Verlag Wiesbaden GmbH
ISBN:
Category : History
Languages : en
Pages : 162
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Book Description
This book offers a reappraisal of basic aspects of Aristotelian cosmology. Aristotle believed that all celestial objects consist of the same substance that pervades the heavens, a stuff unlike those found near the center of the cosmos that compose us and everything in our immediate surroundings. Kouremenos argues that, contrary to the received view, Aristotle originally introduced this heavenly stuff as the matter of the stars alone, the remotest celestial objects from the Earth, and as filler of the outermost part of the heavens, forming a diurnally rotating spherical shell whose fixed parts are the stars, the crust of the cosmos which has the Earth at its center. The author also argues that, contrary to another common view, at no point in the development of his cosmological thought did Aristotle believe the heavens to be structured according to the theory of homocentric spheres developed by his older contemporary Eudoxus of Cnidus, in which the other celestial objects, the five planets known in antiquity, the Sun and the Moon, were hypothesized to move uniformly in circles, as if they were fixed stars.
