# Courses at Chair of Physical Geodesy and Satellite Geodesy (PSG)

## Range of Courses

The PSG offers courses in the following study programs:

The main courses by PSG in the study programs are Physical Geodesy, Reference Systems and Satellite Geodesy. In addition the institute is responsible for lectures and exercises in Adjustment Theory, Parameter Estimation and Signal Processing in their context to Geodesy.

In the following the courses are listed together with their contents (by key words). In the course of re-accreditation of both study courses the study programme has been changed to some extend. The following list gives the course structure as valid from winter term 2014/2015 on. Furthermore the teaching staff of PSG contributes to the cross-institute activities like **Geodetic Seminar I and II**.

## Courses within Bachelor of Science Civil Engineering and Geodesy

### Differential Geometry and Earth Observation

Within the combined module in part **Earth Observation** an introduction to the global geodetic observation methods and technologies is given (part Differential Geometry is given by the Mathematics department).

### Parameter Estimation I

vector and matrix algebra; statistics, variance propagation; estimation principles; mathematical observation models; Gauß-Markov model (full and non-full rank); Gauß-Helmert model; least squares and BLUE estimation; adjustment of geodetic networks; assessment of parameter estimation methods and results: accuracy and reliability; hypothesis testing for observations and parameters; variance components estimation;

### Satellite Geodesy and Navigation I

Basics of Satellite Geodesy: concepts and history, satellite motion, celestial mechanics: satellite orbit; GNSS systems, observations, evaluation, satellite missions of Geodesy. International GNSS Service.

Basics of Signals: signal propagation: elektromagnetic waves, propagation in the atmosphere, refraction, multipath, modeling of refraction effects;

Positioning with Global Satellite Navigation Systems: observable, positioning absolute, relative, static, error effects;

Navigation: basic principles of autonomous navigation, coordinate systems, GNSS based navigation, augmentation systems, astronomical navigation, inertial navigation, ground based navigation methods, applications,

Positioning by dead-reckoning, satellite based and terrestrial methods, inertial methods, navigation calculations.

Navigation mathematics: computation of position, course, attitude, trajectoy; Dead reckoning; degrees of freedom; feedback control in navigation; overview on sensors;

Radio, inertial and satelliten navigation principles.

### Physical Geodesy and Reference Systems I

Introduction to Geodesy, basics of Physical Geodesy: theoy of potential, vector analysis, potential, gravitation, gravity.

Earth gravity field, modeling and determination, gravitatioal potential, normal gravity field, disturbance potential, spherical harmonics formulation of potential;

Height systems: levelling, curvature of equipotential surfaces and vertical, geopotential height, dynamic, orthometric, normal and ellipsoidal heights;

Coordinate systems, reference systems, figure of the Earth and reference surfaces, geodetic datum, coordinate transformations.

Time systems, motion of the Earth in space, celestial systems, Earth-fixed systems, plate tectonics, IERS, ITRS, ETRS; short history of Earth measurements.

## Courses within Master of Science Geodesy and Geoinformation

### Parameter Estimation II

robust parameter estimation: estimator, influence and loss function, M and modified M estimator; Iterative Reweighting; deformation analysis: congruency tests, single point motions, block motion, strain analysis; Kalman filtering: dynamic systems, discrete and extended Kalman filter; signal processing: sampling, approximation series, statistical analysis, Fourier analysis;

### Physical Geodesy II and Satellite Geodesy II

Physical Geodesy: series expansion of the Earth gravity field, geomety of the Earth gravity field, linear models and disturbance, geodetic boundary problems, Stokes and Molodensky problem; Upward and Downward continuation; Geoid computation: terrestrial observations (gravimetric, astro-geodetic method); gravity anomaly and disturbance, analytic and numeric computation methods; gravity measurements, Earth gravity field from satellite missions.

Satellite Geodesy: Global Satellite Navigation Systems, signals, codes, propagation, observation equations, linear combinations and processing strategies, ambiguity resolution, error effects and correction, reference networks and virtual stations, Precise Point Positioning, GNSS hard- and software, further satellite missions of Geodesy in overview;

### Further courses in the M.Sc. Geodesy and Geoinformation

In addition the following courses are offered for deepening in advanced topics within the specialization blocks ('Wahlpflichtbereich', 'Fachlicher Wahlbereich') of the Master study program (for details see modules hand book of study regulations 2014):

- Project Geodetic Metrology I ('Wahlpflichtbereich')
- Parameter Estimation III (Digital Signal Processing, Stochastic Processes, LTI systems, Filtering), ('Wahlpflichtbereich')
- Global Geodetic Oberserving System ('Wahlpflichtbereich')
- Physical Geodesy III ('Fachlicher Wahlbereich')
- Integrated Navigation ('Fachlicher Wahlbereich')