L - Celestial Mechanics
Jürgen Schmidt
Comments
Qualification objectives: Students have basic knowledge of the derivation of Kepler's laws from Newton's axioms and Newton's law of gravitation, the properties and classification of types of motion, and the confirmation of Kepler's solutions to the two-body problem by observations of the motion of bodies in the solar system. Students have basic knowledge of the physical derivation and properties of the gravitational three-body problem. They can independently transfer and apply their knowledge to selected problems and develop strategies for solving them.
Contents: The students deal with the development of the world view from Ptolemy via Copernicus to Kepler and the Kepler laws as empirical findings. The exact derivation of Kepler's laws from Newton's equations is described, the conservation variables, as well as the classification of the types of motion and the orbital elements. Students deal with the derivation of the restricted circular three-body problem from the basic dynamical equations, the Jacobi integral, zero-velocity curves, and Lagrangian points. They use their knowledge to classify comets using selected examples. They work with simple perturbation calculations of the two-body problem.
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