Course Details
Theoretical geodesy II
Academic Year 2023/24
HE10 course is part of 1 study plan
N-P-C-GK / GD Summer Semester 1st year
Precise levelling (insruments, methods, errors, standardization, accuracy). Adjustment leveling networks. Adjustment geodetic networks on the plane, on the sphere and on the ellipsoid. Adjustment free networks.
Equipotencional surfaces, geoid, spheroid.
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).
Equipotencional surfaces, geoid, spheroid.
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. Precise levelling - insruments and errors
2. Precise levelling - methods and accuracy
3. Adjustment geodetic and leveling networks on the plane,
4. Adjustment geodetic networks on the sphere and on the ellipsoid
5. Adjustment free networks.
6. Fundamental of Gravity field theory
7. Equipotencional surfaces, geoid and spheroid
8. Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth
9. Astronomic levelling, geoid as height reference surface
10. Theory of heights
11. Geodetic and gravimetric networks
12. Gravimetric deflections of the vertical, Moloděnsky kvazigeoid theory
13. Coordinate systems and frames ITRS, ETRS, EULN, geodynamic networks
14. History of geodetic networks in Czech republic
2. Precise levelling - methods and accuracy
3. Adjustment geodetic and leveling networks on the plane,
4. Adjustment geodetic networks on the sphere and on the ellipsoid
5. Adjustment free networks.
6. Fundamental of Gravity field theory
7. Equipotencional surfaces, geoid and spheroid
8. Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth
9. Astronomic levelling, geoid as height reference surface
10. Theory of heights
11. Geodetic and gravimetric networks
12. Gravimetric deflections of the vertical, Moloděnsky kvazigeoid theory
13. Coordinate systems and frames ITRS, ETRS, EULN, geodynamic networks
14. History of geodetic networks in Czech republic
Prerequisites
Computing geodetic problems on the sphere and ellipsoid
Language of instruction
Czech
Credits
6 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, 3 hours/week, elective
Syllabus
1. Precise levelling - insruments and errors
2. Precise levelling - methods and accuracy
3. Adjustment geodetic and leveling networks on the plane,
4. Adjustment geodetic networks on the sphere and on the ellipsoid
5. Adjustment free networks.
6. Fundamental of Gravity field theory
7. Equipotencional surfaces, geoid and spheroid
8. Plumb line, normal, deflection of the vertical, Laplace equation and Laplace azimuth
9. Astronomic levelling, geoid as height reference surface
10. Theory of heights
11. Geodetic and gravimetric networks
12. Gravimetric deflections of the vertical, Moloděnsky kvazigeoid theory
13. Coordinate systems and frames ITRS, ETRS, EULN, geodynamic networks
14. History of geodetic networks in Czech republic
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
1. Introduction and repetition of basic methods of adjustment
2. Adjustment of trigonometric networks.
3. Adjustment of trilateration networks
4. Adjustment of 3D networks
5. Computing of deflections of vertical
6. Map of geoid
7. Komparation of leveling rods
8. Map of Free-air and Bouguer anomalies
9. Gravity corrections in leveling