Theory of satellite positioning

Acquiring theoretical knowledge about measurements, error sources and mathematical models of positioning using artificial satellites of the Earth.

Students understand the principles of GPS measurements, sources of errors and how to process them. They are familiar with the basic models of GNSS positioning.

Lectures: Introduction, the need for precise positioning. Modeling of code and phase pseudoranges. Geometric distance modeling. Modeling the state of satellite oscillators and receivers. Modeling of relativistic effects. Ionospheric refraction modeling. Tropospheric refraction modeling. Modeling of antenna phase center positions. Functional model of linear combinations. Functional model of frequency combinations. Stochastic model of satellite GNSS measurements. Methods for solving phase uncertainties. Mathematical model of precise absolute GNSS positioning (PPP) and applications. Mathematical model of precise relative kinematic GNSS positioning and application. Mathematical model of precise network GNSS positioning and application. Exercises: Determination of the satellite position at any time. Clock time series processing. Calculation of ionospheric correction by a standard model. Calculation of tropospheric correction by different models. Modeling of antenna phase center positions. Functional model of linear combinations. Functional model of frequency combinations. Stochastic model of satellite GNSS measurements. Solving phase uncertainties. Processing measurements for precise absolute positioning. Measurement processing for precise relative positioning. Measurement processing for precise network positioning.

1. Blagojević, D.: Theory of satellite positioning, lectures, Belgrade, 2010.

Class attendance
Elaborate
Final exam

Teaching takes place through lectures, computer exercises, consultations, independent preparation of mandatory tasks. Knowledge testing; guided and independent preparation of obligatory tasks and preparation of studies; final writted exam.