OGD19TG - Theoretical Geodesy
| Course specification | ||||
|---|---|---|---|---|
| Type of study | Bachelor academic studies | |||
| Study programme | ||||
| Course title | Theoretical Geodesy | |||
| Acronym | Status | Semester | Number of classes | ECTS |
| OGD19TG | mandatory | 6 | 3L + 2E | 6.0 |
| Lecturers | ||||
| Lecturer | ||||
| Lecturer/Associate (practicals) | ||||
| Prerequisite | Form of prerequisites | |||
| Mathematics 4 | Course completed | |||
| Learning objectives | ||||
| Introducing students to the basics of geodesy as a science that studies and interprets the size, shape and external gravitational field of the body of the Earth and other planets, the Earth's rotation, the Earth's tides, heights, height systems and geodynamic phenomena. | ||||
| Learning outcomes | ||||
| Students are familiar with: the Earth's structure and atmosphere, the influence of the Earth's gravity field and geodetic models of the Earth's body, height systems, the geometry of a revolving (level) ellipsoid, mathematical models used in defining and creating geodetic reference frames and reference surfaces. | ||||
| Content | ||||
| Introduction. Historical development of geodesy. Definition of geodesy. The size and shape of the Earth. Movement of the Earth's body. Earth's atmosphere. Structure of the Earth's body. The physical surface of the Earth. Earth's gravitational field. Earth's gravity field. Geoid. Rotational, level ellipsoid. Natural coordinates. Geodetic coordinates. Transformation of coordinates. Radius of curvature. The length of the arc of the meridian. The length of the arc of the parallel. Dual normal sections. Geodesic. Properties of a geodesic on an ellipsoid. Forward geodetic problem. Inverse geodetic problem. Gravitational force. Potential of gravitational force. Spherical harmonic expansion of the gravitational force potential. Boundary value problems of the gravitational force potential theory. Laplace and Poisson's differential equation. Earth's gravity. The potential of the Earth's gravity. Normal Earth gravity and normal potential. Spherical harmonic expansion of the normal potential. Anomalous potential. Functionals of anomalous potential. Stokes formula. Wenning Meines formula. Astrogeodetic leveling. Gravity reduction. Theory of isostasy. Molodensky's theory. Statistical methods in physical geodesy. Measuring the acceleration of Earth's gravity. Gravimetry. Absolute and relative gravimeters (concepts). Dedicated satellite missions. Geopotential heights. Height systems. Changes in the size, shape and external field of the Earth's gravity over time. | ||||
| Teaching Methods | ||||
| Lectures and practical exercises. | ||||
| Literature | ||||
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| Evaluation and grading | ||||
| Elaboration of exercises. Calculus colloquiums. Oral exam. | ||||