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1 Introduction, definition of course objectives, physical geodesy subject in general
Historical development of geodesy: spherical earth belief, ellipsoidal earth belief, meridian arc determination studies and geodetic networks, deflection of vertical and geoid, 3D and 4D geodesy
The position and importance of physical geodesy in geomatics engineering
Acknowledgment about required basic science subjects and reading suggestions
2 Earth gravity field: gravitation and gravitational potential, spherical symmetric earth model and gravity force, the properties of gravitational potential, centrifugal force and properties, gravity acceleration and gravity potential
3 Geometrical properties of earth gravity field: level surface, plumb line, representation of local gravity field and curvature of level surface, natural coordinates
4 Physical properties of earth gravity field: representation by surface circular
harmonic, physical interpretation of harmonic expansion coefficients
5 Definition of geoid, concepts of mean sea level and dynamic ocean topography, geoid as a height reference surface
Temporal gravity field changes, gravitational constant and earth rotation parameters, tidal acceleration and potential, temporal changes independent of tides
6 Earth normal gravity field, leveling ellipsoid and “best fitting ellipsoid”, normal gravity field of level ellipsoid, geometry of normal gravity field, geodetic reference systems
7 Measurement methods: gravimeter, absolute gravity measurements, relative gravity measurements, gravity reference systems, gravity measurements using mobile platforms, gravity gradiometer, gravity networks
8 Measurement methods: Astrogeodetic Measurement
Astrogeodetic reductions, Astrogeodetic geoid determination (Astrogeodetic leveling)
9 Several Height Definitions, geopotential number, dynamical heights, orthometric heights, ellipsoidal heights, normal heights, relationships between height systems,
National elevation datum and national height control
10 Basics of calculation methods- Geodetic boundary values problems, calculation of gravity effects of topographic masses (topographic correction and reductions)
11 Geoid calculations-Modelling global gravity field: spherical harmonics, low and middle degree expansions of gravity field models, ultra-high degree expansion models, contribution of earth gravity satellite missions (GOCE, GRACE, CHAMP) to geoid models
12 Local and regional geoid calculations:
Gravimetric geoid heights and calculations for deviations of vertical, astrogeodetic geoid and calculation for deviations of vertical, calculation of geoid using different data combinations: Remove-Calculate-Replace approximation least squares collocation
13 Local and regional geoid calculations (cont’d): Using the GNSS/leveling data for local geoid calculations, examples to local and regional geoids in our country, interpretation of articles regarding the height control in Regulations for Production of Large Scale Maps and Mapping Information”
14 Numerical application regarding the calculation of geoid models and workshop |