Impact of Modern Dynamics in Astronomy

Impact of Modern Dynamics in Astronomy
Author: Jacques Henrard
Publisher: Springer Science & Business Media
Total Pages: 468
Release: 2012-12-06
Genre: Science
ISBN: 940114527X

Modem dynamics is increasingly participating in the solution of problems raised by as tronomical observations. This new relationship is being fostered on one side by the im provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.

Modern Celestial Mechanics: From Theory to Applications

Modern Celestial Mechanics: From Theory to Applications
Author: Alessandra Celletti
Publisher: Springer Science & Business Media
Total Pages: 474
Release: 2013-06-29
Genre: Science
ISBN: 9401723044

At the opening of the "Third Meeting on Celestial Mechanics - CELMEC III", strong sensations hit our minds. The conference (18-22 June 2001) was being held in Villa Mondragone, a beautiful complex of buildings and gardens located within the township of Monte Porzio Catone, on the hills surrounding Rome. A former papal residence, the building has been recently restored by the University of Rome "Tor Vergata" to host academic activities and events. The conference room is called "Salone degli Svizzeri": here, Gregory XIII, on February 24, 1582, gave its sanction to the reform of the Julian calendar and declared officially in use the calendar still adopted nowadays. The magnificent high walls and tall ceiling strongly resounded, giving to our voice a peculiar Vatican sound, which took us by surprise. May be - we thought - a distant echo of the very words of Gregory XIII proclaiming the modem calendar was still haunting the room. Around us, in the audience, many countries were represented, thus indicating that the idea of putting together the three "souls" of modem Celestial Mechanics - perturbation theories, solar and stellar system studies, spaceflight dynamic- had been successful. CELMEC III is in fact the latest of a series of meetings (the first two editions took place in 1993 and 1997 in L' Aquila, Italy) whose aim is to establish a common ground among people working in Celestial Mechanics, yet belonging to different institutions such as universities, astronomical observatories, research institutes, space agencies and industries.

Chaos and Complexity in Astrophysics

Chaos and Complexity in Astrophysics
Author: O. Regev
Publisher: Cambridge University Press
Total Pages: 492
Release: 2006-03-23
Genre: Mathematics
ISBN: 9780521855341

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

Workshop on Molecular Dynamics on Parallel Computers

Workshop on Molecular Dynamics on Parallel Computers
Author: RĀdiger Esser
Publisher: World Scientific
Total Pages: 400
Release: 2000
Genre: Science
ISBN: 9789810242329

Molecular dynamics is a well-established technique for simulating complex many-particle systems in many areas of physics, chemistry, and astrophysics. The huge computational requirements for simulations of large systems, especially with long-range forces, demand the use of massively parallel computers. Designing efficient algorithms for these problems is a highly non-trivial task. This book contains the invited talks and abstracts presented at a conference by more than 100 researchers from various fields: computer science, solid state physics, high energy physics, polymers, biochemistry, granular materials and astrophysics. Most of the contributions have been written by users of massively parallel computers and deal with practical issues, but there are also contributions tackling more fundamental algorithmic problems.

Equilibrium, Markets and Dynamics

Equilibrium, Markets and Dynamics
Author: Cars H. Hommes
Publisher: Springer Science & Business Media
Total Pages: 836
Release: 2002-05-14
Genre: Business & Economics
ISBN: 9783540434702

This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into two or even all three themes. The essays have been written by international as well as Dutch friends and colleagues including Weddepohl's former Ph. D. students. The book starts with a review of Claus Weddepohl's work by Roald Ramer, who has been working with him in Amsterdam for all those years. The review describes how Weddepohl became fascinated by general equilibrium theory in the early stages of his career, how he has been working on the theory of markets throughout his career, and how he turned to applications of nonlinear dynamics to price adjustment processes in a later stage of his career. The first part of the book, Equilibrium, collects essays with general equilib rium theory as the main theme.

Asteroids

Asteroids
Author: Edward C. Blair
Publisher: Nova Publishers
Total Pages: 264
Release: 2002
Genre: Reference
ISBN: 9781590334829

With the bulk of asteroids floating in space between the orbits of Mars and Jupiter, astronomers puzzle over where these rocks came from. Are they the remnants of a planet? Excess not used in the formation of the Solar System? Nothing more than random bits of debris? The location of the belt makes for a quasi-barrier separating the inner from the outer planets. Perhaps asteroids were meant to discourage human space exploration. NASA has sent missions to explore the asteroid belt and the rocks themselves, and those missions have yielded some interesting observations on the composition of the asteroids but no definitive answer as to their origin. Earth-based tools such as telescopes and satellites also contribute to asteroid research but cannot plumb the depths behind these varied chunks of flotsam. Presented in this book is a list of carefully chosen abstracts and citations of relevant literature about asteroids and the research into them. Prior to this listing, though, comes an overview of the nature of the asteroids and what we know now about them and what we hope to discover in the future. lifeless but mysterious rocks inhabiting the solar system. To conclude, easy access is provided through author, title, and subject indexes.

Dynamical Chaos in Planetary Systems

Dynamical Chaos in Planetary Systems
Author: Ivan I. Shevchenko
Publisher: Springer Nature
Total Pages: 376
Release: 2020-08-31
Genre: Science
ISBN: 3030521443

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.

Dynamics of Natural and Artificial Celestial Bodies

Dynamics of Natural and Artificial Celestial Bodies
Author: Halina Pretka-Ziomek
Publisher: Springer Science & Business Media
Total Pages: 453
Release: 2013-11-11
Genre: Science
ISBN: 9401713278

This volume contains papers presented at the US/European Celestial Mecha nics Workshop organized by the Astronomical Observatory of Adam Mickiewicz University in Poznan, Poland and held in Poznan, from 3 to 7 July 2000. The purpose of the workshop was to identify future research in celestial mech anics and encourage collaboration among scientists from eastem and westem coun tries. There was a full program of invited and contributed presentations on selected subjects and each day ended with a discussion period on a general subject in celestial mechanics. The discussion topics and the leaders were: Resonances and Chaos-A. Morbidelli; Artificial Satellite Orbits-K. T. Alfriend; Near Earth Ob jects - K. Muinonen; Small Solar System Bodies - I. Williams; and Summary - P. K. Seidelmann. The goal of the discussions was to identify what we did not know and how we might further our knowledge. The size of the meeting and the language differences somewhat limited the real discussion, but, due to the excellence of the different discussion leaders, each of these sessions was very interesting and productive. Celestial Mechanics and Astrometry are both small fields within the general subject of Astronomy. There is also an overlap and relationship between these fields and Astrodynamics. The amount of interaction depends on the interest and efforts of individual scientists.

The Trans-Neptunian Solar System

The Trans-Neptunian Solar System
Author: Dina Prialnik
Publisher: Elsevier
Total Pages: 478
Release: 2019-11-22
Genre: Science
ISBN: 0128164905

The Trans-Neptunian Solar System is a timely reference highlighting the state-of-the-art in current knowledge on the outer solar system. It not only explores the individual objects being discovered there, but also their relationships with other Solar System objects and their roles in the formation and evolution of the Solar System and other planets. Integrating important findings from recent missions, such as New Horizons and Rosetta, the book covers the physical properties of the bodies in the Trans-Neptunian Region, including Pluto and other large members of the Kuiper Belt, as well as dynamical indicators for Planet 9 and related objects and future prospects. Offering a complete look at exploration and findings in the Kuiper Belt and the rest of the outer solar system beyond Neptune, this book is an important resource to bring planetary scientists, space scientists and astrophysicists up-to-date on the latest research and current understandings.

The Future of Small Telescopes in the New Millennium: The telescopes we use

The Future of Small Telescopes in the New Millennium: The telescopes we use
Author: Terry D. Oswalt
Publisher: Taylor & Francis US
Total Pages: 362
Release: 2003
Genre: Science
ISBN: 9781402009495

This title details the essential roles that small telescopes should play in 21st century science and how their future productivity can be maximized. Over 70 experts from all corners of the international astronomical community have created a reference on the future of big science with small telescopes. at national facilities and their omission from national science priority studies, the oft-lamented demise of the small telescope has been greatly exaggerated. In fact, the future of these workhorses of astronomy will be brighter than ever if creative steps are taken now. This three-volume set defines essential roles that small telescopes should play in 21st century science and the ways in which a productive future for them can be realized. A wide cross-section of the astronomical community has contributed to a definitive assessment of the present and a vision for the future. radio- and space-based facilities face problems in scientific prioritization and funding. It highlights how current small facilities are evolving to meet the scientific priorities and economical realities of the 21st century through standardization of instrumentation, use of off-the-shelf technology, specialization, optical improvements, new modes of scheduling, automation, and internet access.