Himmelsmechanik / Celestial Mechanics

Inhalt / Plan
  • 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
    • First Kepler's law
    • Energy constant
    • Second and third Kepler's 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