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