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Long-Time Predictions in Dynamics [1976]

3
From the Theory of Numbers via Gyroscopes and Lie Algebras to Linear Celestial Mechanics
17
Lectures on Linearizing Transformations of Dynamical Systems
43
Strongly Perturbed Dynamical Systems
57
Catastrophes in Lagrangian Systems — A
67
Catastrophes in Lagrangian Systems: An Example — B
71
Statistical Behavior in Conservative Classical Systems
99
Global Stability of Area-Preserving Mappings
111
On the Method of Averaging
119
On the Theory of Averaging
141
Qualitative Investigation of Almost Separable Hamiltonian System of Two Degrees of Freedom
153
Stabilization, Manipulation and Analytic Step Adaption
165
On the Interpretation of Least Squares Collocation
173
A Note on Stabilization in Three-Body Regularization
181
Qualitative Methods and Results in Celestial Mechanics
209
On the Characteristic Exponents of the General Three-Body Problem
223
Families of Periodic Orbits in the General N-Body Problem
241
Triple Collision
259
An Invariant Measure for the Planar Restricted Three Body problem
267
Periodic Oscillations of the First Generation in the Stormer Problem
279
Formal Expressions for the Motion of N Planets in the Plane, with the Secular Variations Included, and An Extension to Poisson’s Theorem
295
The Principle of Least Interaction Action
307
Rotational Motions of the Terrestrial Planets
321
Long-Term Orbit Determination and Prediction for Geodynamic Investigations
329
Dynamical Systems Involving Uncertainty
330
Periodic Orbits around the Equilibrium Points of a Central Gravitational Potential Perturbed By the J<Subscript>22</Subscript> Term
331
Time Regularization and Stabilization of an Adams-Moulton-Cowell Algorithm
333
On The Theory of an Artificial Satellite
334
The Evolution of Planetary Orbits in the Capture Theory of the Origin of the Solar System
335
Geodynamic Investigations Using Very Long Term Observation of Near-Earth Satellites
336
A New Transformation for the Perturbed Problem of Two Bodies
337
Kozai’s Theory of an Artificial Satellite
338
Cassini’s Laws
339
Theory of the Rotation of the Rigid Earth
340
Periodic Oscillations of the Second Generation in the Störmer Problem
341
Three-Dimensional Branchings of Plane Periodic Solutions
342
On Stabilization Using the Energy Integral
344
Resonance Effects in Satellite Orbits
345
On the Resonance 1 – 1 for Hamiltonian Systems near an Equilibrium Point
346
Periodic Orbits near An Equilibrium Point: The Liapunov Center Theorem
347
Analytical and Numerical Study of a Perturbed Pendulum
349
Algebraical Aspects of Perturbation Theories
352
Stabilization and Time Elements for Kepler’s Problem
354
A Note on the Hénon-Heiles Problem
356
Newtonian Cosmology with Varying G
358
The Effects of Integrals on the Totality of Solutions of Dynamical Systems
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