Course Details

# Theoretical Geodesy I

GE28 course is part of 2 study plans

B-P-C-GK Summer Semester 1st year

B-K-C-GK Summer Semester 1st year

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.

Course Guarantor

doc. Ing. Josef Weigel, CSc.

Institute

Institute of Geodesy

Objective

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.

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.

Prerequisites

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

Language of instruction

Czech

Credits

8 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/256122

Lecture

13 weeks, 3 hours/week, elective

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

13 weeks, 3 hours/week, compulsory

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