COURSE OBJECTIVES:
To enable students to describe, define and determine the shape of the Earth and the forces on the Earth's surface.
COURSE CONTENT:
Forces on the Earth's surface. Gravity. General properties of the gravity field. Potential of the gravity field. Poincare's theorem. Potential and gravity field of a rotating ellipsoid. Clairaut's theorem. Geoid. Stokes' formula. Boundary conditions on the surface of the geoid. Development of the theory of the shape of the Earth. Reduction of gravity and anomalies. Basics of the theory of isostasy and isostatic reduction of measured values.
COURSE SYLLABUS:
1. Introductory lecture.
2. Basics of potential theory. Harmonic functions.
3. Gravitational potential.
4. Properties of the potential function.
5. Bruns' spheroid.
6. Equation of the level of the spheroid.
7. Rotational ellipsoid.
8. Normal values ??of gravity.
9. Gravimetry.
10. Correction of measured gravity values. Faye correction. Bouguer correction.
11. Topographic correction. Isostatic correction.
12. Gravity anomaly. Geoid - determination of undulation.
13. Temporal changes in gravity.
14. Earth's motion.
15. Review of material. Solving numerical problems.
LEARNING METHOD:
Listening to lectures, studying notes and literature; analysis of examples, derivation of equations.
TEACHING METHODS:
Lecture, discussion; task of deriving equations.
METHOD OF MONITORING AND ASSESSMENT:
Homework; oral exam.
CONDITIONS FOR SIGNATURE:
Regular attendance (at least 70%), homework.
METHOD OF TAKING THE EXAM:
Written and oral exam.
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- Kaufmann, A.A., R.O. Hansen: Principles of the gravitational method, Elsevier, Amsterdam 2008.
- Lambeck, K.: Geophysical Geodesy, Clarendon Press, Oxford 1988.
- Vaniček, P., E. Krakiwsky: Geodesy, The Concepts, Elsevier, Amsterdam 1986.
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