Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics: Proceedings of the NATO Advanced Study Institute held at Cortina d’Ampezzo, Italy, August 2–14, 1981

Front Matter....Pages i-xviii
The Dynamics of Close Planetary Satellites and Rings....Pages 1-20
The Motion of Saturn’s Co-Orbiting Satellites 1980S1 and 1980S3....Pages 21-23
A Qualitative Study of Stabilizing and Destabilizing Factors in Planetary and Asteroidal Orbits....Pages 25-44
Perturbations in Stellar Paths....Pages 45-57
Modern Lunar Theory....Pages 59-76
Some Aspects of Motion in the General Planar Problem of Three Bodies; in Particular in the Vicinity of Periodic Solutions Associated with Near Small-Integer Commensurabilities of Orbital Period....Pages 77-101
The Stability of N-Body Hierarchical Dynamical Systems....Pages 103-130
Reference Systems for Earth Dynamics....Pages 131-144
Recent Progress in the Theory of the Trojan Asteroids....Pages 145-152
The Adiabatic Invariant: Its Use in Celestial Mechanics....Pages 153-171
Modern and Old Views in the Dynamical Foundations of Classical Statistical Mechanics....Pages 173-184
The Kam Invariant and Poincaré’s Theorem....Pages 185-199
Regularization of the Singularities of the N-Body Problem....Pages 201-236
Les Geodesiques de l’Ellipsoide a Trois Axes Inegaux, d’Apres Jacobi, Whittaker, Arnold....Pages 237-247
Coordonnées Symétriques sur la Variété de Collision Triple du Problème Plan des Trois Corps....Pages 249-266
Ergodic Theory and Area Preserving Mappings....Pages 267-276
Exploding Dynamical Systems....Pages 277-299
On Some Invariant Manifold Results and Their Applications....Pages 301-320
Is Celestial Mechanics Deterministic ?....Pages 321-324
On a Family of Continuous Maps of the Circle into Itself Related to the Van Der Pol Equation....Pages 325-325
A Review on Semiconvergent Series, Periodic Solutions and the Vanishing Hessian in Celestial Mechanics....Pages 326-326
Perturbative Effects of Solar Radiation Pressure on the Orbital Motion of High Earth Satellites....Pages 327-327
Quasi-Random Motions in a Perturbed Pendulum....Pages 328-328
Small Bodies Captured by a Thin Annular Disk Orbiting Around a Primary Body....Pages 329-330
Lie-Algebraic Methods in Dynamics and Celestial Mechanics....Pages 331-332
Parabolic Escape and Capture in the Restricted Three-Body Problem for Larger Values of the Jacobi Constant....Pages 333-333
Compatibility Conditions for a Non-Quadratic Integral of Motion....Pages 334-335
Contact Systems and Celestial Mechanics....Pages 336-336
Dimensions of the Invariant Manifolds Associated with Equilibrium Points in the N-Body Problem....Pages 337-337
On the Development of an Artificial Satellite Theory....Pages 338-338
Motion at the Second Order Resonances, 3:1 and 5:3....Pages 339-340
On the Applicability of the Transition Chains Mechanism....Pages 341-341
Small Divisors in the Derivatives of Hansen’s Coefficients....Pages 342-342
Periodic Solutions of the Restricted Problem of Three Bodies with Small Values of the Mass Parameter....Pages 343-343
Non-Universality for a Class of Bifurcations....Pages 344-344
Application of Lie-Series to Numerical Integration in Celestial Mechanics....Pages 345-345
Applications of Hamilton’s Law of Varying Action....Pages 346-346
Some Current Astrodynamics Developments at the North American Aerospace Defense Command (NORAD)....Pages 347-347
About the Triple Collision Manifold in the Planar Three-Body Problem....Pages 348-349
Periodic Orbits Near Homoclinic Orbits....Pages 350-350
Some Numerical Results of a Semi-Analytic Orbit Theory Using Observed Data....Pages 351-351
Orbital Behaviour in the Vicinity of Unstable Periodic Orbits in Dynamical Systems with Three Degrees of Freedom....Pages 352-352
On the Convergence of Formal Integrals in Finite Time....Pages 353-353
A Numerical Study of the Asymptotic Solutions to the Family (C) of Periodic Orbits in the Restricted Problem of Three Bodies....Pages 354-354
The Equivalence of the Generators of Deprit’s and Giorgelli-Galgani’s Change of Variables in Differential Systems....Pages 355-355
Stabilization of Spiral Density Waves in Flat Galaxies for a Hydrodynamical Model....Pages 356-356
Stability of Periodic Orbits Near a Homoclinic Orbit for Analytical Hamiltonians with Two Degrees of Freedom....Pages 357-357
A Method for the Investigation of the Integrability of Dynamical Systems....Pages 358-358
Reappearance of Ordered Motion in Classical Non-Integrable Hamiltonian Systems....Pages 359-359
HOPF-Bifurcation in a Nearly Hamiltonian System....Pages 360-361
A Realization of Dynamical Systems in Boolean Algebras....Pages 362-362
Relativistic Astrodynamics: Problems in Interstellar Flight....Pages 363-363
The Origin of the Kirkwood Gaps: A Mapping for Asteroidal Motion Near the 3/1 Commensurability....Pages 364-364
Completely Integrable Systems and Singularity in the Complex t — Plane....Pages 365-365
Back Matter....Pages 367-373