Recent Advances in Dynamical Astronomy

I. Regularization
- A Linear Theory of the Perturbed Two-Body Problem (Regularization)
- Collision Singularities in Gravitational Problems
- Regularization Using a Time-Transformation Only
- Stabilization of the Differential Equations of Keplerian Motion
- The Particular Solutions of Levi-Civita
- Example of Integration of Strongly Oscillating Systems
- The Application of Recurrence Relations to Special Perturbation Methods
- Numerical Solution of Ordinary Differential Equations (Abstract)

II. The Three-Body Problem
- Recent Advances in the Problem of Three Bodies
- Periodic Elliptic Motion in the Problem of Three Bodies (Abstract)
- On a Conjecture by Poincaré
- The Three-Dimensional Elliptic Problem
- Second and Third Order Variations of the Three Dimensional Restricted Problem
- Planar Periodic Orbits Using Second and Third Variations
- Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points
- A Linear Description of the Second Species Solutions

III. The N-Body Problem and Stellar Dynamics
- Problems of Stellar Dynamics
- Invariant Manifolds in Celestial Mechanics
- Theoretical Aspects of N-Body Computer Simulations
- Integration Methods of the N-Body Problem (Abstract)
- Numerical Studies of the Gravitational Problem of N-Bodies (Abstract)
- Star Encounter Simulations
- Yukawa Potential and Stellar Encounter
- An Investigation of the Rôle of Turbulence in the Formation of Star Clusters by a Point-Mass Simulation

IV. The Theory of General Perturbations
- Theory of General Perturbations
- The Algorithm of the Inverse for Lie Transform
- The Property of Covariance in Hori's Non-Canonical Perturbation Theory (Abstract)
- Subdynamics in Classical Mechanics

V. The Solar System and Orbital Resonances
- Astronomical Systems of Units, Co-ordinates and Time-Scales
- Masses of the Planets and Satellites (Abstract)
- Planetary Ephemerides
- Orbits of the Natural Satellites. Lectures on Some Types of