New Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badho by Rudolf DvorakNew Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badho by Rudolf Dvorak

New Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von…

EditorRudolf Dvorak, Jacques Henrard

Paperback | December 5, 2010

not yet rated|write a review

Pricing and Purchase Info

$297.88 online 
$323.95 list price save 8%
Earn 1489 plum® points

In stock online

Ships free on orders over $25

Not available in stores

about

The papers in this volume cover a large range of questions concerning the dynamics of objects of the Solar System from theoretical Hamiltonian Mechanics to the study of the dynamical behaviour of specific objects with a strong emphasis on the detection, causes and effects of chaotic behaviour. Several papers describe the very latest contributions in two very lively topics; symplectic method of numerical integration of Hamiltonian systems and methods for special analysis of computed orbits leading to refined tools for the detection and evaluation of chaos. The dynamics of the asteroid belt and of NEOs (near Earth objects), two important topics with implications on the evolution of planetary systems and on the assessment of probabilities of catastrophic collisions, are also covered. This volume will be of interest to mathematicians and physicists interested in Hamiltonian mechanics and in the dynamics of planetary systems.

Details & Specs

Title:New Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von…Format:PaperbackDimensions:385 pages, 9.25 × 6.1 × 0.03 inPublished:December 5, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048157021

ISBN - 13:9789048157020

Look for similar items by category:

Customer Reviews of New Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badho

Reviews

Extra Content

Table of Contents

Preface; R. Dvorak, J. Henrard. Heinrich K. Eichhorn memorial lecture, Statistics for Twenty-first Century Astrometry; W.J. Jefferys. Asteroid Synthetic Proper Elements; Z. Knezevic, A. Milani. Invariant Tori in the Secular Motions of the Three-Body Planetary Systems; U. Locatelli, A. Giorgilli. The Improvements of Planetary Theories over 6000 Years; J. Chapront. The Distribution of Energy Perturbations at Planetary Close Encounters; G.B. Valsecchi, et al. Dynamics of Small Earth-Approachers on low-eccentricity Orbits and Implication for their Origin; P. Michel, Ch. Froeschlé. The Phase Space Structure around L4 in the Restricted Three-Body Problem; Z. Sándor, et al. Why do Trojan ASCs (not) escape? R. Dvorak, K. Tsiganis. The 2/1 and 3/2 Resonant Asteroid Motion: a Symplectic Mapping Approach; J. Hadjidemetriou, G. Voyatzis. Twist and non-twist bifurcations in a system of coupled oscillators; G. Stagika, S. Ichyiaroglou. The Mel'nikov Subharmonic Function and the Non-existence of Analytic Integrals in Non-autonomous Systems; E. Meletlidou. On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: a very Sensitive Tool; C. Froeschlé, E. Lega. Crossing of Various Cantori; G. Contopoulos, et al. Fractal Dimensions as Chaos Indicators in the Standardmap; F. Freistetter. Normal Form Invariants around Spin-Orbit Periodic Orbits; A. Celletti, C. Falcolini. The Third Integral in a Self-Consistent Galactic Model; G. Contopoulos, et al. Counter-rotating Galaxies and Memory of Cosmological Initial Conditions; N. Voglis, et al. The Family P12 of the Three-Body Problem: the Simplest Family of Periodic Orbits with Twelve Symmetries per Period; C. Marchal. Surfaces of Separation in the Symmetrical, Coplanar, Equal Mass, Four Body, Double Binary Problem; B. Steves, A. Roy. About One Case of the Non-Restricted Three Body Problem; N.A. Solovaya, E.M. Pittich. Periodic solutions of the planetary 5:2 resonance three-body problem; T. Michtchenko, S. Ferraz-Mello. Short Liapunov Indicators for Planets in Double Star Systems; E. Pilat-Lohinger. On a Fokker-Planck Approach to Asteroidal Transport; K. Tsiganis, et al. Fractal Windows for Escaping Stars; J.F. Navarro, J. Henrard. Transformation Methods for Trigonometric Parallaxes; H. Smith. The Search for Exosolar Systems; P.K. Seidelmann. The Two Fixed Centers Problem Revisited; H. Varvoglis, et al. The Phase Phase Structure of the General Sitnikov Problem; J. Kallrath, R. Dvorak.