Chaos In Gravitational N Body Systems

Author : J.C. Muzzio,Sylvio Ferraz-Mello,Jacques Henrard
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400903074

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Chaos in Gravitational N-Body Systems by J.C. Muzzio,Sylvio Ferraz-Mello,Jacques Henrard Pdf

The Workshop on Chaos in Gravitational N -Body Systems was held in La Plata, Argentina, from July 31 through August 3, 1995. The School of Astronomy and Geophysics of La Plata National University, best known as La Plata Observatory, was the host institution. The Observatory (cover photo) was founded in 1883, and it has nowadays about 120 faculty members and 70 non-faculty members devoted to teaching and research in different areas of astronomy and geophysics. It was very nice to see how many people, from young students to well recognized authorities in the field, came to participate in the meeting. This audience success was due to the increasing understanding of the neces sity to gather together people from Celestial Mechanics and Stellar Dynamics to explore the problems that exist at the frontier of these two disciplines and their common interest in chaotic phenomena and integrability (the famous Argentine beef was, certainly, also an attraction!). All the papers of the present volume were refereed. Most were accepted after some revision, while some needed no change at all (compli ments to their authors!) and, sadly, a few could not be included. About half a dozen authors did not submit their contributions for publication, mainly because they were already in print elsewhere. Therefore, the special issue of Celestial Mechanics and Dynamical Astronomy includes all the invited lectures of the workshop, while the proceedings volume includes those same lectures plus the bulk of, but Bot all, the contributions to the meeting.

Author : Juan C. Muzzio,Sylvio Ferraz-Mello,J. Henrard
Publisher : Unknown
Page : 166 pages
File Size : 52,8 Mb
Release : 1996
Category : Celestial mechanics
ISBN : OCLC:247025588

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Chaos in Gravitational N-body Systems by Juan C. Muzzio,Sylvio Ferraz-Mello,J. Henrard Pdf

Author : B.A. Steves,A.J. Maciejewski,M. Hendry
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 49,8 Mb
Release : 2006-09-22
Category : Science
ISBN : 9781402047060

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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems by B.A. Steves,A.J. Maciejewski,M. Hendry Pdf

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.

Author : Archie E. Roy
Publisher : Springer Science & Business Media
Page : 581 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468459975

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Predictability, Stability, and Chaos in N-Body Dynamical Systems by Archie E. Roy Pdf

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.

Author : O. Regev
Publisher : Cambridge University Press
Page : 492 pages
File Size : 51,5 Mb
Release : 2006-03-23
Category : Mathematics
ISBN : 0521855349

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Chaos and Complexity in Astrophysics by O. Regev Pdf

A primer for researchers and graduate students; introduces and applies chaos techniques to specific astrophysical systems.

Author : Bonnie Steves
Publisher : CRC Press
Page : 403 pages
File Size : 45,8 Mb
Release : 2019-05-07
Category : Science
ISBN : 9781420033304

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The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems by Bonnie Steves Pdf

The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the

Author : Archie E. Roy,B.A. Steves
Publisher : Springer Science & Business Media
Page : 573 pages
File Size : 40,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489910851

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From Newton to Chaos by Archie E. Roy,B.A. Steves Pdf

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Author : G. Contopoulos,P. A. Patsis
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 52,9 Mb
Release : 2009-01-07
Category : Science
ISBN : 9783540758266

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Chaos in Astronomy by G. Contopoulos,P. A. Patsis Pdf

The conference 'Chaos in Astronomy' was held in Athens on 17-20 Sept. 2007. This book contains edited refereed contributions. It offers an overview to students and newcomers entering various fields of dynamical astronomy.

Author : Ivan I. Shevchenko
Publisher : Springer Nature
Page : 376 pages
File Size : 40,8 Mb
Release : 2020-08-31
Category : Science
ISBN : 9783030521448

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Dynamical Chaos in Planetary Systems by Ivan I. Shevchenko Pdf

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.

Author : Sverre J. Aarseth,Sverre Johannes Aarseth
Publisher : Cambridge University Press
Page : 440 pages
File Size : 43,6 Mb
Release : 2003-10-23
Category : Science
ISBN : 0521432723

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Gravitational N-Body Simulations by Sverre J. Aarseth,Sverre Johannes Aarseth Pdf

This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.

Author : V. G. Gurzadyan,Remo Ruffini
Publisher : World Scientific
Page : 692 pages
File Size : 51,8 Mb
Release : 2000
Category : Science
ISBN : 9810242557

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The Chaotic Universe by V. G. Gurzadyan,Remo Ruffini Pdf

This unique volume is a collection of papers on various problems in astrophysics and cosmology ? from planetary motion to the arrow of time ? that are closely linked by the common spirit, technique and methodology of chaos.

Author : P. Kenneth Seidelmann,Jean Kovalevsky
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400909854

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Applications of Computer Technology to Dynamical Astronomy by P. Kenneth Seidelmann,Jean Kovalevsky Pdf

Proceedings of the 109th Colloquium of the International Astronomical Union, held in Gaithersburg, Maryland, 27-29 July, 1988

Author : Alexei Fridman,Mikhail Ya. Marov,Richard Miller
Publisher : Springer Science & Business Media
Page : 140 pages
File Size : 49,8 Mb
Release : 2011-06-27
Category : Science
ISBN : 9789401002479

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Observational Manifestation of Chaos in Astrophysical Objects by Alexei Fridman,Mikhail Ya. Marov,Richard Miller Pdf

On August 2000 in the Lomonosov Moscow State University the first scientific conference dedicated to chaos in the real astronomical systems was held. The most prominent astrophysisists - specialist in the field of stochastic dynamics - attended the conference. A broad scope of the problems related to the observed manifes tations of chaotic motions in galactic and stellar objects, with the involvement of basic theory and numerical modeling, were addressed. The idea (not so obvious, as we believe, to many astrophysicists) was to show that, while great progress in the field of stochastic mechanics was accomplished, the science of chaos in actually observed systems is only just being born. Basically, the situation described prompted the organizers to hold the meeting in order to discuss chaotic processes in real systems. It seemed worthwhile to begin these introductory remarks with a brief descrip tion of some events that preceeded the conference. Since actually existing systems are the subject of the natural sciences, and in the latter experiments play the key role, we shall begin our account with the experimental results.

Author : Sylvio Ferraz-Mello
Publisher : Springer Nature
Page : 176 pages
File Size : 50,8 Mb
Release : 2023-12-31
Category : Science
ISBN : 9783031458163

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Chaotic Dynamics in Planetary Systems by Sylvio Ferraz-Mello Pdf

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.

Author : Immo Appenzeller
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401157629

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Reports on Astronomy by Immo Appenzeller Pdf

IAU Transactions are published as a volume corresponding to each General Assembly. Volume A is produced prior to the Assembly and contains Reports on Astronomy, prepared by each Commission President. The intention is to summarize the astronomical results that have affected the work of the Commission since the production of the previous Reports up to a time which is about one year prior to the General Assembly. Volume B is produced after the Assembly and contains accounts of Commission Meetings which were held, together with other material. The reports included in the present volume range from outline summaries to lengthy compilations and references. Most reports are in English.