Course detail

Theoretical Geodesy I

FAST-GE28Acad. year: 2023/2024

Figure of the Earth, retational ellipsoid, conventional ellipsoides, systems of coordinates, radius of curvature, sphere, spherical excess, normal sections, geodesic, direct problem and inverse problem on sphere (ellipsoid), gravity field of Earth, equipotential surfaces, plumb line, normal of ellipsoid, geoid, deflection of the vertical, reduction observations to ellipsoid, precise levelling - insruments and methods, geodetic and astronomic networks, reference systems and reference frames,GNSS satellites, satellite orbit, time systems, application in geodetic fields, transformation to cartographic projection, GPS heighting, introduction of space geodesy.

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.


Institute of Geodesy (GED)

Entry knowledge

Measurements and computing geodetic observations on the plane, principles of GNSS technology. Leveling.

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.


Students adopt the global parameters for the figure of the eart and its gravity field. The earth´s curvature and gravity field must be considered in geodetic surveys. Introduction of space geodesy and satellite methods in geodetic systems and frames.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B-P-C-GK Bachelor's

    branch GI , 3. year of study, summer semester, compulsory

Type of course unit



39 hours, optionally

Teacher / Lecturer


1. Figure of the Earth and mathematic surfaces. History of geodesy. 2. Systems of coordinates on sphere and rotational ellipsoid, spherical excess. 3. Reference ellipsoid, radius of curvature, normal sections, geodesic. 4. Direct problem and inverse problem on sphere andellipsoid. 5. Gravity field of Earth, equipotential surfaces, plumb line, geoid 6. Gravimetric methods, gravimeters, gravity networks. 7. Precise levelling, measurements and calculations. 8. Deflection of vertical,reduction observations to ellipsoid 9. Satellite and its orbits, time systems. 10. Application GPS in geodetic fields,transformation to cartographic projections, GNSS and heights, space technology.


39 hours, compulsory

Teacher / Lecturer


1. Introduction, Basic of spferical trigonometry 2. Spherical triangles, spherical excess 3. Sphere, Geodetic direct and inverse solution 4. Reference ellipsoid, Coordinate transformation 5. Computing on the ellipsoid surface, radius of curvature 6. Precise leveling - tests of leveling instruments 7. Precise leveling - practical measurements 8. GNSS - practical measurements 9. GNSS - calkulations in LGO 10. Recapitulation and credit