Course detail

Theoretical geodesy 2

FAST-NEA037Acad. year: 2024/2025

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).

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Josef Weigel, CSc.

Department

Institute of Geodesy (GED)

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.

Rules for evaluation and completion of the course

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

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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme NPC-GK Master's 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Radovan Machotka, Ph.D.

Syllabus

1. Fundamental of Gravity field theory. Gravity measurements, gravity networks. 2. Gravity anomalies. 3. Precise levelling – insruments and errors, methods and testing of accuracy. 4. Equipotencional surfaces, geoid and spheroid. 5. Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth. 6. Astronomic levelling, geoid as height reference surface. Vertical datums. 7. Theory of heights. 8. Gravimetric deflections of the vertical, Moloděnsky kvazigeoid theory. 9. Coordinate systems and frames ITRS, ETRS, EULN, geodynamic networks. 10. History of geodetic networks in Czech republic.

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Radovan Machotka, Ph.D.
Ing. Jakub Nosek

Syllabus

1. Introduction and repetition of basic methods of teoretical geodesy. 2. Gravitational acceleration of a spherically symmetric mass distibution. 3. Gravity measurements. 4. Analysis of gravity measurements. Gravity anomalies. 5. Computing of deflections of vertical. 6. Precise levelling. 7. Komparation of levelling rods. 8. Map of Free-air and Bouguer anomalies. 9. Gravity corrections in leveling.