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Dynamical Chaos in Planetary Systems

2020-08-31 Science
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Release : 2020-08-31
Genre : Science
Kind : eBook
Book Rating : 443/5 ( reviews)

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Book Synopsis Dynamical Chaos in Planetary Systems by : Ivan I. Shevchenko

Download or read book Dynamical Chaos in Planetary Systems written by Ivan I. Shevchenko. This book was released on 2020-08-31. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.

Solar System Dynamics

2000-02-13 Science
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Release : 2000-02-13
Genre : Science
Kind : eBook
Book Rating : 158/5 ( reviews)

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Book Synopsis Solar System Dynamics by : Carl D. Murray

Download or read book Solar System Dynamics written by Carl D. Murray. This book was released on 2000-02-13. Available in PDF, EPUB and Kindle. Book excerpt: The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.

Chaotic Dynamics in Planetary Systems

2023-12-31 Science
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Release : 2023-12-31
Genre : Science
Kind : eBook
Book Rating : 168/5 ( reviews)

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Book Synopsis Chaotic Dynamics in Planetary Systems by : Sylvio Ferraz-Mello

Download or read book Chaotic Dynamics in Planetary Systems written by Sylvio Ferraz-Mello. This book was released on 2023-12-31. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools. Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems. Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. The interest in applications to planetary systems is growing since the discovery of systems of resonant planets around some stars of the solar neighborhood. Exoplanets added a lot of cases to a problem that was before restricted to the planets of our solar system. The book includes an account of results already existing about compact systems.

Chaos, Resonance and Collective Dynamical Phenomena in the Solar System

1992-05-31 Science
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Release : 1992-05-31
Genre : Science
Kind : eBook
Book Rating : 821/5 ( reviews)

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Book Synopsis Chaos, Resonance and Collective Dynamical Phenomena in the Solar System by : Sylvio Ferraz-Mello

Download or read book Chaos, Resonance and Collective Dynamical Phenomena in the Solar System written by Sylvio Ferraz-Mello. This book was released on 1992-05-31. Available in PDF, EPUB and Kindle. Book excerpt: This symposium was devoted to a new celestial mechanics whose aim has become the study of such `objects' as the planetary system, planetary rings, the asteroidal belt, meteor swarms, satellite systems, comet families, the zodiacal cloud, the preplanetary nebula, etc. When the three-body problem is considered instead of individual orbits we are, now, looking for the topology of extended regions of its phase space. This Symposium was one step in the effort to close the ties between two scientific families: the observationally-oriented scientists and the theoretically-oriented scientists.

Order and Chaos in Dynamical Astronomy

2013-03-14 Science
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Release : 2013-03-14
Genre : Science
Kind : eBook
Book Rating : 171/5 ( reviews)

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Book Synopsis Order and Chaos in Dynamical Astronomy by : George Contopoulos

Download or read book Order and Chaos in Dynamical Astronomy written by George Contopoulos. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of order. The book provides a unifying approach to these topics from an author who has spent more than 50 years of research in the field. The first part treats order and chaos in general. The other two parts deal with order and chaos in galaxies and with other applications in dynamical astronomy, ranging from celestial mechanics to general relativity and cosmology.

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