| Univ. Bremen Prof. Dr. C. Lämmerzahl | Geodesy and Gravity (S3, elective, 3 ECTS) |
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| Knowledge and Understanding: | |
| Applying Knowledge and Understanding: | |
| Prerequisites | Basic courses in Physics on mechanics. Introduction to General Relativity |
| Program | The basic principles of Earth based geodesy are given. First, the gravitational field of an arbitrary gravitating body is given and characterized. The decomposition into spherical harmonics is performed. Next, the Kepler problem is solved in detail Then the orbits of a satellite under the influence of arbitrary disturbing forces is described using the Gauß- and Lagrange-equations. The disturbing forces are additional forces like the air drag, Earth albedo, or Solar wind, but also gravitational forces beyond the Kepler problem. Using these perturbation equations, observational consequences are derived. Furthermore, geodesy in a general relativistic context is introduced. Due to the highly precise measurement schemes, general relativistic effects have to be taken into account. The corresponding general relativistic scheme is worked out. This consists in the general definition of the geoid and in the decomposition of the gravitational field into multipoles which then can be measured using the motion of satellites. |
| Description of how the course is conducted | |
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| Adopted Textbooks | A list of references will be provided at the start of the semester. |
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