1. Celestial mechanics 2. After a brief repetition of the principles of theoretical mechanics, coordinate transforms and differential geometry the following basic topics will be discussed:(1) Calculation of gravitational potentials/potential theory, including application to oblate planets, (2) two-body problem (Kepler) and its solutions (ellipses, parabola and hyperbolic orbits, introduction of orbital elements, perturbation of Keplerian orbits by the oblateness of the celestial bodies, tidal forces, dust, radiation, cosmic plasma etc.),(3) three-body problem (restricted three body problem, elliptic three-body problem, Hills-problem), (4) N-body gravitating systems (Hamilton systems and related chaotic motion, KAM theorem and stability of planetary systems). 3. Admission requirements: Basic study 4. Optional compulsory course 5. Dr. Frank Spahn 6. Credit weighting: 3 SWS all (summer semester) 2 SWS lecture 1 SWS practical 7. Lecture and practical 8. Course assessment: Record of achievement for solved exercises 9. German 10. 4.5 ECT-points all