Course Details
Theoretical geodesy 2
Academic Year 2023/24
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).
Course Guarantor
Institute
Objective
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.
Knowledge
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 theoretical knowledge of geodetic reference systems and geodynamics.
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.
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.
Prerequisites
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.
Language of instruction
Czech
Credits
4 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
Lecture
13 weeks, 2 hours/week, elective
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
13 weeks, 2 hours/week, compulsory
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.