Predictability, Stability, and Chaos in N-Body Dynamical Systems

ISBN-13: 9781468459999 / Angielski / Miękka / 2012 / 616 str.

Archie E. Roy; Archie E. Roy

Opis

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.

Spis treści

Aspects of Chaos: Chaos in a Restricted, Charged FourBody Problem; J. Casasayas, et al. Chaos in the Three Body Problem; A. Milani. A New Route to Chaos: Generation of Spiral Characteristics; G. Contopoulos. Dynamics of Asteroids, Comets and Meteors: Modelling: An Aim and a Tool for the Study of the Chaotic Behavior of Asteroidal and Comet Orbits; C. Froeschlé. Mapping Models for Hamiltonian Systems with Application to Resonant Asteroidal Motion; J. Hadjidemetriou. A Model for the Study of Very High Eccentricity Asteroidal Motion: The 3:1 Resonance; S. Ferraz-Mello, et al. Dynamics of Natural and Artificial Satellites: The Moon's Physical Librations: Direct Gravitational Perturbations; I. Wytrzyszczak, et al. Nonrigid Moon and Direct Nongravitational Perturbations; E. Bois, et al. Significant High Number Commensurabilities in the Main Lunar Problem: A Postscript to a Discovery of the Ancient Chaldeans; A.E. Roy, et al. The Three-Body Problem: Remarkable Termination Orbits of the Restricted Problem; V.V. Markellos. Periodic Orbits in the Isosceles Three-Body Problem; C.C. Monleon, et al. Quasi-Periodic Orbits as a Substitute of Libration Points in the Solar System; G. Gomez, et al. 40 additional articles. Index.