Himmelsmechanik / Celestial Mechanics
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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
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