Course Details
Theoretical geodesy 2
Academic Year 2026/27
NEA037 course is part of 1 study plan
NPC-GK Summer Semester 1st year
Fundamentals of potential theory. Gravity field of the earth.
Fundamentals of geophysical methods. Gravimetric methods. Gravity reduction and anomaly.
Equipotencional surfaces, geoid, spheroid.
Precise levelling (insruments, methods, errors, standardization, accuracy).
Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth, reduction to the ellipsoid. Astronomic levelling.
Theory of heights. Geopotential differences, orthometric heihts, normal orthometric heights, normal Moloděnský heights, dynamic heights, misclosure of levelling polygons. Adjustment of large levelling networks.
Stokes formula and Vening-Maines formula, gravimetry deflections of verticals. Moloděnsky kvazigeoid theory. Geodetic Earth models.
Coordinate systems ITRS, ETRS, EULN, geodynamic networks.
History of geodetic networks in Czech republic (NULRAD, DOPNUL, GEODYN).
Fundamentals of geophysical methods. Gravimetric methods. Gravity reduction and anomaly.
Equipotencional surfaces, geoid, spheroid.
Precise levelling (insruments, methods, errors, standardization, accuracy).
Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth, reduction to the ellipsoid. Astronomic levelling.
Theory of heights. Geopotential differences, orthometric heihts, normal orthometric heights, normal Moloděnský heights, dynamic heights, misclosure of levelling polygons. Adjustment of large levelling networks.
Stokes formula and Vening-Maines formula, gravimetry deflections of verticals. Moloděnsky kvazigeoid theory. Geodetic Earth models.
Coordinate systems ITRS, ETRS, EULN, geodynamic networks.
History of geodetic networks in Czech republic (NULRAD, DOPNUL, GEODYN).
Credits
4 credits
Language of instruction
Czech
Semester
summer
Course Guarantor
Institute
Forms and criteria of assessment
course-unit credit and examination
Entry Knowledge
Figure of the Earth, spherical trigonometry, sphere, retational ellipsoid,direct problem and inverse problem on sphere and ellipsoid, gravity field of Earth, reduction observations to ellipsoid. Precise levelling - instruments and methods. Aplication GNSS in geodesy and surveying. Principles of gravity and gravimetry.
Aims
The subject is oriented towards on gravity field of the Earth, theory of different types of heights and global and regional geodetic systems and frames. Methods of precise levelling measurements and adjustment are discussed.
Student gets an overview of problems heigts (gravity field, precise levelling, equipotencial surfaces, geoid, spheroid and kvazigeoid.
Student gets theoretical knowledge of geodetic reference systems and geodynamics.
Student gets an overview of problems heigts (gravity field, precise levelling, equipotencial surfaces, geoid, spheroid and kvazigeoid.
Student gets theoretical knowledge of geodetic reference systems and geodynamics.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
- International reference systems
- Introduction to the Earth's gravity field
- Mathematical foundations of potential theory, spherical harmonic expansion
- Normal gravity field, reference ellipsoids
- Disturbing potential, Global models, (add summary geoid vs. quasigeoid)
- Gravity measurement, gravity reductions
- Gravity anomaly, astrogeodetic leveling
- Height theory, precise leveling
- National reference systems (S-JTSK, S-42, S-JTSK/05), transformation between reference systems
- Gravity anomaly corrections of leveling measurements
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
- Transformation of ellipsoidal geodetic coordinates to geocentric rectangular
- Transformation ETRS89 -> ITRSIntroduction, transformation of ellipsoidal geodetic coordinates to geocentric rectangular
- Global transformation in the Czech Republic
- Working with gravity potential models
- Measurements with a relative gravimeter
- Gravity deviations (Laplace equation)
- Transformation X, Y, Z -> N, E, U (Topocentric system)
- Astronomical leveling
- Gravity corrections of leveling measurements