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Lecturer(s)
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Novák Pavel, Prof. Ing. PhD
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Šprlák Michal, Doc. Ing. PhD.
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Course content
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1. Geodesy - definition, scopes, history, international organizations, institutions, and literature. 2. Coordinate systems used in the course Physical Geodesy 1. 3. Fields, differential operators, and tensors. 4. Orthogonal systems in the gravitational field modelling of planetary bodies. 5. Solution of the Laplace equation. 6. Selected chapters from the potential theory. 7. Harmonic series expansions of the gravitational potential. 8. The actual gravitational field and its geometry. 9. Normal and disturbing gravity field. 10. Gravimetry and heights used in geodesy. 11. External boundary-value problems of the potential theory and other integral transformations. 12. Practical aspects for numerical calculation of the disturbing gravity field quantities using integral transformations.
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Learning activities and teaching methods
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- Contact hours
- 26 hours per semester
- Practical training (number of hours)
- 26 hours per semester
- Preparation for an examination (30-60)
- 50 hours per semester
- Preparation for laboratory testing; outcome analysis (1-8)
- 20 hours per semester
- Preparation for comprehensive test (10-40)
- 10 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| to explain fundamentals of land surveying |
| to explain fundamentals of the adjustment calculus |
| to explain fundamentals of algebra |
| to explain fundamentals of the mathematical analysis |
| Skills |
|---|
| programming at the beginner level |
| to make a plot or a map |
| to interpret results and their uncertainties |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| to resolve quantities of the gravitational field |
| to understand physical properties of the gravity field |
| to resolve among methods for gravitational field modelling |
| Skills |
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| to practically apply methods for gravitational field modelling |
| to practically process measurements of the gravitational field |
| to practically compute a local model of the gravitational field |
| to practically compute a global model of the gravitational field |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Practicum |
| Task-based study method |
| Skills |
|---|
| Practicum |
| Task-based study method |
| Competences |
|---|
| Lecture |
| Practicum |
| Task-based study method |
| assessment methods |
|---|
| Knowledge |
|---|
| Oral exam |
| Written exam |
| Combined exam |
| Test |
| Skills |
|---|
| Oral exam |
| Written exam |
| Combined exam |
| Test |
| Competences |
|---|
| Oral exam |
| Written exam |
| Combined exam |
| Test |
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Recommended literature
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Abramowitz, Milton; Stegun, Irene A. Handbook of mathematical functions : with formulas, graphs, and mathematical tables. New York : Dover Publications, 1972. ISBN 0-486-61272-4.
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Heiskanen W. A., Moritz H. Physical Geodesy. San Francisco, 1967.
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Hobson, Ernest William. The theory of spherical and ellipsoidal harmonics. First paperback edition. 2011. ISBN 978-1-107-60511-4.
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Hofmann-Wellenhof, Bernhard; Moritz, Helmut. Physical geodesy. 1st ed. Wien : SpringerWienNewYork, 2005. ISBN 3-211-23584-1.
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Hotine M. Mathematical Geodesy. Washington, 1969.
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Novák, Pavel; Pitoňák, Martin; Šprlák, Michal; Tenzer, Robert. Higher-order gravitational potential gradients for geoscientific applications. Earth-Science Reviews ISSN 0012-8252 Vol. 198 (201. 2019.
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Novák, Pavel; Šprlák, Michal; Tenzer, Robert; Pitoňák, Martin. Integral formulas for transformation of potential field parameters in geosciences. Earth-Science Reviews ISSN 0012-8252 Vol. 164 (201. 2017.
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Torge, W. Gravimetry. Berlin, New York, 1989.
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Torge, Wolfgang; Müller, Jürgen. Geodesy. 4th ed. Berlin : de Gruyter, 2012. ISBN 978-3-11-020718-7.
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