Content
Physical Geodesy [IV 3633 L 217]
-Potential Theory
-Fundamental integral formulas (body, surface, line integral)
-Geodetic boundary value tasks
-Gravity potential by spherical harmonic functions
-Spherical potential coefficients of the gravity field of the Earth
-Theoretical and practical determination of the spherical potential coefficients
-Geodetic normal potential
-Geoid as a reference surface
-Determination of the density structure of the Earth
-Hydrostatic-isostatic density distributions
-Spectral Analysis of the gravity field of the Earth
-Interpretation of gravity anomalies and other gravity parameters
Selected Sections of Navigation and Positioning [IV 3633 L 220]
Optical celestial navigation: Formulas of spherical trigonometry. Terrestrial latitude and longitude. Celestial co-ordinate systems: right ascension system, hour angle system, ecliptic system, horizon system. Sideral and solar time. Conversion between time scales. Navigation triangle. Determination of geographical latitude and time.
Satellite based navigation techniques: General methodology of navigation with radio waves. Principles of satellite based positioning. Pseudo-random codes and their measurements. Generation of the GPS signals. Navigation messages. Measurements of the code and carrier phases. GNSS receivers. GNSS biases and error sources. Signal propagation errors. Data processing errors. Simplified range model. Single-, double- and triple differences of observations. Constrain of simultaneity. Influence of non-synchronous clocks. Non-linear observation equations. Range formulation of the carrier beat phase model. Linear combination of observations. GPS data pre-processing. Data quality monitoring. Main segments of the GPS. International GNSS service (IGS). GNSS single point positioning algorithms. Relative positioning. Carrier phase ambiguity fixing. GPS wide- and local area augmentation services. Theory and various approaches for differential GNSS. DGPS services. SAPOS. Post-processing Kinematic (PPK)- and Real Time Kinematic (RTK) techniques. Positioning in large GNSS networks. Other past, current and future satellite based navigation systems (PRARE, DORIS, GLONASS, Galileo, ...). Regional satellite navigation systems.
Inertial navigation: Sensor types (accelerometers, gyroscopes) and observables. Navigation equations.
Integrated navigation: Basics of Kalman filter. Sensor fusion. Examples of multi-sensor systems (Integrated GPS/INS, ocean buoys equipped with GPS, etc.). Multi-sensor systems for machine guidance and control. Integrated GPS/WiFi real-time positioning.
Radio astrometry methods of navigation: Connected interferometry. Very long baseline interferometry (VLBI). Differential VLBI for spacecraft navigation.
