Course detail

Theoretical Geodesy I

FAST-GE28Acad. year: 2022/2023

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

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Josef Weigel, CSc.

Department

Institute of Geodesy (GED)

Learning outcomes of the course unit

Not applicable.

Prerequisites

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

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

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.

Work placements

Not applicable.

Aims

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.

Specification of controlled education, way of implementation and compensation for absences

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

Recommended optional programme components

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

  • Programme B-K-C-GK Bachelor's

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

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

doc. Ing. Josef Weigel, CSc.

Syllabus

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.

Exercise

39 hod., compulsory

Teacher / Lecturer

doc. Ing. Josef Weigel, CSc.

Syllabus

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