The Stability of Planetary Systems : Proceedings of the Alexander Von Humboldt Colloquium on Celestial Mechanics, Held at Ramsau, Styria, March 25–31, 1984

The Alexander von Humboldt Colloquium on Celestial Mechanics (sub­ titled "The Stability of Planetary Systems") was held in Ramsau, Styria, in the Austrian Alps, from March the 25th to the 31st, 1984. The dedication of the meeting to Alexander von Humboldt presented partici­ pants with the challenge that the discussions during the week should reflect the spirit of that great scientist of the last century, that the very many interesting ideas presented and developed during the sessions should be interpreted in the light of a broad v~ew of astron­ omy and astrophysics. The topics of the meeting ranged from astrometric questions relating to the specification of inertial reference systems, motion of planets (including minor planets) and satellites, with the recurring topic of the search for criteria of stability of the systems, resonances, periodic orbits, and to the origin of the systems. Each session began with one or more invited review papers, followed by offered contributions and discussion. Three evening discussions were held, devoted respectively to inertial systems, to numerical integration techniques, and to cosmogonic problems and ring systems. On the evening of Wednesday, March 28th, a recital of chamber mus~c was given by Bernhard Piberauer, on the violin, and Meinhard Prinz, on the piano. Front Matter....Pages i-4 Preface....Pages 5-6 The Meaning of Celestial Mechanics in the Kosmos of Alexander von Humboldt....Pages 7-10 Inertial Systems — Definitions and Realizations....Pages 11-18 Minor Planet Observations and the Fundamental Reference System....Pages 19-36 The Empirical Inertial System Determined in FK5 by the Dynamics of the Planetary System....Pages 37-37 Observations of Minor Planets with the Very Large Array....Pages 39-48 Review of Concepts of Stability....Pages 49-64 Three-Body Problem....Pages 65-93 The Lyapunov Characteristic Exponents — Applications to Celestial Mechanics....Pages 95-115 Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems....Pages 117-124 Generalizations of the Jacobian Integral....Pages 125-133 Application of Lie-Series to Regularized Problems in Celestial Mechanics....Pages 135-143 Integration of the Elliptic Restricted Three-Body Problem with Lie Series....Pages 145-154 The Stability of Our Solar System....Pages 155-163 Approximation Methods in Celestial Mechanics. Application to Pluto’s Motion....Pages 165-184 Termes Seculaires Dans la Theorie des Perturbations....Pages 185-191 Amelioration des Theories Planetaires Analytiques....Pages 193-201 Motions of the Perihelions of Neptune and Pluto....Pages 203-217 Progress in General Planetary Theory....Pages 219-221 Satellite Orbits and Ephemerides....Pages 223-241 Tidal Effects and the Motion of a Satellite....Pages 243-244 The Effect of the Dynamical Parameters in the Motion of the Galilean Satellites of Jupiter....Pages 245-253 Libration of Laplace’s Argument in the Galilean Sstellites Theory....Pages 255-262 Planetary Perturbations on the Libration of the Moon....Pages 263-273 Stability of L 4 and L 5 Against Radiation Pressure....Pages 275-287 The Formation of the Planetary System....Pages 289-296 Dynamics of Ring-Satellite Systems around Saturn and Uranus....Pages 297-327 Formation of the Kirkwood Gaps in the Asteroid Belt....Pages 329-341 Resonant Structure of the Outer Asteroid Belt....Pages 343-355 The Dynamics of Bodies with Variable Masses....Pages 357-368 Numerical Experiments on Planetary Orbits in Double Stars....Pages 369-378 Periodic Orbits....Pages 379-393 The Problem of Small Divisors in Planetary Motion....Pages 395-410 The Ideal Resonance Problem a Comparison of Two Formula Solutions I....Pages 411-423 Trojan Orbits in Secular Resonances....Pages 425-434 Critical Inclination of Trojan Asteroids....Pages 435-441 An Application of Labrouste’s Method to Quasi-Periodic Asteroidal Motion....Pages 443-452 A Note on Resonance in Regular Variables and Averaging....Pages 453-457 On the Brown Conjecture....Pages 459-463 Back Matter....Pages 465-470 Proceedings of the Alexander von Humboldt Colloquium on Celestial Mechanics, held at Ramsau, Styria, March 25-31, 1984