Chaotic Worlds From Order To Disorder In Gravitational N Body Dynamical Systems
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Chaotic Worlds From Order To Disorder In Gravitational N Body Dynamical Systems
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Author : B.A. Steves
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-22
Chaotic Worlds From Order To Disorder In Gravitational N Body Dynamical Systems written by B.A. Steves and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-22 with Science categories.
Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.
Chaotic Dynamics In Planetary Systems
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Author : Sylvio Ferraz-Mello
language : en
Publisher: Springer Nature
Release Date : 2023-12-31
Chaotic Dynamics In Planetary Systems written by Sylvio Ferraz-Mello and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-31 with Science categories.
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.
Regularization In Orbital Mechanics
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Author : Javier Roa
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-25
Regularization In Orbital Mechanics written by Javier Roa and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Science categories.
Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.
Periodic Quasi Periodic And Chaotic Motions In Celestial Mechanics Theory And Applications
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Author : Alessandra Celletti
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-02
Periodic Quasi Periodic And Chaotic Motions In Celestial Mechanics Theory And Applications written by Alessandra Celletti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-02 with Science categories.
The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.
Exoplanets Detection Formation And Dynamics Iau S249
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Author : International Astronomical Union. Symposium
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-10
Exoplanets Detection Formation And Dynamics Iau S249 written by International Astronomical Union. Symposium and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-10 with Science categories.
In the 12 years since the first discovery of an exoplanet around a main sequence star (51 Peg), more than 270 exoplanets have been detected. The proceedings of IAU Symposium 249 present the latest theoretical and observational advances in the field of exoplanet research, including the ongoing and future projects such as CoRoT and Kepler. The volume opens with a review of exoplanet detection and orbital determination techniques, before looking at the physics of gas giant atmospheres and close-in stars. The topics of planet formation, migration and the dynamical evolution of protoplanetary disks and multi-planet systems are also covered in detail. IAU S249 is a useful reference for the graduate students and researchers working in the exciting field of exoplanet study.
Perturbation Theory
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Author : Giuseppe Gaeta
language : en
Publisher: Springer Nature
Release Date : 2022-12-16
Perturbation Theory written by Giuseppe Gaeta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-16 with Science categories.
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
A Comparison Of The Dynamical Evolution Of Planetary Systems
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Author : Rudolf Dvorak
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-16
A Comparison Of The Dynamical Evolution Of Planetary Systems written by Rudolf Dvorak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Science categories.
The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realistic dynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around the librations points. This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems.
Recent Trends In Chaotic Nonlinear And Complex Dynamics
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Author : Jan Awrejcewicz
language : en
Publisher:
Release Date : 2021
Recent Trends In Chaotic Nonlinear And Complex Dynamics written by Jan Awrejcewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Chaotic behavior in systems categories.
From Order To Disorder In Gravitational N Body Dynamical Systems Selected Papers From Nato Advanced Studies Institute On Chaotic Worlds From Order To Disorder In Gravitational N Body Dynamical Systems Cortina D Ampezzo Italy 8 20 September 2003
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Author :
language : en
Publisher:
Release Date : 2004
From Order To Disorder In Gravitational N Body Dynamical Systems Selected Papers From Nato Advanced Studies Institute On Chaotic Worlds From Order To Disorder In Gravitational N Body Dynamical Systems Cortina D Ampezzo Italy 8 20 September 2003 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Special Issue On From Order To Disorder In Gravitational N Body Dynamical Systems
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Author : Bonnie A. Steves
language : en
Publisher:
Release Date : 2004
Special Issue On From Order To Disorder In Gravitational N Body Dynamical Systems written by Bonnie A. Steves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Celestial mechanics categories.