The Stability of the Solar System and of Small Stellar Systems

by Yoshihide Kozai (Editor)

Overview

Proceedings of IAU Symposium No. 62 held in Warsaw, Poland, September 5-8, 1973

Product Details

ISBN-13:	9789027704580
Publisher:	Springer Netherlands
Publication date:	09/30/1974
Series:	International Astronomical Union Symposia , #62
Edition description:	1974
Pages:	313
Product dimensions:	8.27(w) x 11.69(h) x 0.24(d)

Table of Contents

Stability Theory in Celestial Mechanics.- Modern Dynamical Systems Theory.- The Present State of the n-Body Problem.- Bode’s Law.- Distribution of the Mean Motions of Planets and Satellites and the Development of the Solar System.- Can the Solar System be Quantized?.- On the Original Distribution of the Asteroids.- The Origin of Commensurabilities in the Satellite Systems.- The Origin of the Asteroid Ring.- Orbits of Trojan Asteroids.- The Role of Saturn’s Oblateness in the Mimas-Tethys Resonance.- Stability of Asteroidal Motion in the Hecuba Gap.- Secular Perturbations for Asteroids Belonging to Families.- The Formation of Disks by Inelastic Collisions of Gravitating Particles. Applications to the Dynamics of the Saturn’s Ring and to the Formation of the Solar System.- Stationary Solutions of the Averaged Three-Body Problem and Some Problems of Planet Motion Stability.- Integrable Cases of Satellite Problem with the Third Body and the Oblate Planet.- The Global Solution in the Problem of the Critical Inclination.- Retrograde Satellites in the Circular Plane Restricted Three-Body Problem.- A Note on a Separation of Equations of Variation of the Elliptic Restricted Three-Body Problem into Hill’s Equations.- Comet Schwassmann-Wachmann 3 (1930 VI).- The Motion of Comet Westphal in 1852–1974.- The Motion of Comet Encke-Backlund over 1901–1970.- An Iterative Method of General Planetary Theory.- On the Calculation of Secular Perturbations in the Case of Close Commensurability.- Long Period Terms in the Solar System.- On the Theory of the Galilean Satellites of Jupiter.- Conditions for Escape and Retention.- Influence of the Dynamical Figure of the Moon on Its Rotational-Translational Motion.- A Comparison of the Mean-Value and Initial-Value Solutions of the IdealResonance Problem with an Application in Rigid-Body Mechanics.- Statistics of Three-Body Experiments.- The Role of Binaries in Cluster Dynamics.- On the Stability of Small Clusters or Cluster Remnants.- The Dynamical Evolution of Trapezium Systems.- The Stability of Triple Stellar Systems.- Sur un invariant intégral du problème des n corps: Conséquence de l’homogénéité du potential.- Numerical Experiments on Expanding Gravitational Systems.- Numerical Experiments on the Stability of Spherical Stellar Systems.- On the ‘Thermodynamics’ of Self-Gravitating N-Body Systems.- Dynamics and Clusters of Galaxies.- Dynamical Friction Effects on the Motion of Stars in Rotating Spherical Clusters.- On the Disappearance of Isolating Integrals in Dynamical Systems with More than Two Degrees of Freedom.