Lectures on Celestial Mechanics

摘要: The Three-Body Problem: Covarinace of Lagarangian Derivatives.- Canonical Transformation.- Hamilton-Jacobi Equation.- Cauchy-Existence Theorem.- n-Body Poblem.- Collision.- Regularizing Application to the Three-Bdy Problem.- An Estimate Perimeter.- Velocity.- Sundman's Triple Triple-Collision Orbits.- Periodic Solutions: Solutions Lagrange.- Eigenvalues.- Existence Convergence Proof.- Solution Hill's A Generalization Continuation Method.- Fixed-Point Area-Preserving Analytic Transformations.- Birkhoff Stability: Function-Theoretic Center Poincare Theorem Liapunov.- Dirichlet.- Normal Form Hamiltonian Systems.- Invariant Curves.- Proof Lemma.- Stability Equilibrium Solutions.- Quasi-Periodic Motion and Systems Several Degrees Freedom.- Recurrence Theorem.