Himmelsmechanik / Celestial Mechanics Inhalt / Outline Introduction What is celestial mechanics The N-body problem Methods of celestial mechanics Contemporary celestial mechanics The two-body problem Equations of motion Angular momentum integral Energy integral Integrals in polar coordiantes Kepler's first law Energy constant Kepler's second and third laws Kepler's equation Orbital elements Calculation of coordinates Hamiltonian formulation The circular restricted three-body problem Equations of motion Jacobi integral Zero-velocity surfaces Largangian equilibrium points Tisserand criterion Oepik theory Perturbed motion Concept of perturbed motion Osculating elements Gauss perturbation equations Distrurbing function and Lagrange perturbation equations Perturbation equations in Hamiltonian form The small parameter method Orbit-averaging method Hansen's coefficients Example: motion around an oblate body Planetary problem Equations of motion Expansion of the distrurbing function Practical expansion of the distrurbing function Classification of perturbations Secular perturbations Resonant perturbations Stability of a planetary system Die Inhaltsangabe ist nicht verbindlich und kann entsprechend der Gegebenheiten abgeändert werden The contents is subject to change