TBA4245 - GPS and Geodesy


Examination arrangement

Examination arrangement: Aggregate score
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
Project 30/100
School exam 70/100 4 hours D

Course content

Geometry of the reference ellipsoid, datum, geoid. Conformal Gaussian map projection of the ellipsoid. Satellite geodesy (GNSS/GPS), centeral GNSS errors and ambiguity in phase observations. Transformation of GNSS satellite baslelines to a map projection (plane). Estimation of GNSS coordinates and heights by least squares adjustment. Reliability analyses of GNSS observations and networks.

Programming, coding and implementation for the project work and obligatory exercises are included in the course.

Learning outcome


The students should have knowledge of:

  • Transformation of GNSS baselines to observations in the map projection (plane) and national vertical datum.
  • Geometry of the reference ellipsoid, and calculation of coordinates on the reference ellipsoid.
  • The general conformal map projection of the ellipsoid onto the plane
  • Central sources of errors when doing observations with GNSS (GPS).
  • Estimation of GNSS coordinates and heights, quality control of observations and reliability analysis of geodetic networks.


The students are able to:

  • Calculate coordinates in the map projection (plane) from GNSS observations
  • Carry out and understand reliability tests as described in the Norwegian Geodata standard issued by the Norwegian Mapping Authority
  • Understand and mitigate multipath, ionospheric and tropospheric errors on GNSS signals and ambiguity in GNSS phase observations

General competence:

The candidate can:

  • Understand the theoretical basis for calculations on the ellipsoid and on the map projection (plane)
  • Understand the theoretical basis for calculations and reliability analysis of GNSS coordinates and heights
  • Advanced understanding of GNSS and satellite geodesy
  • Understand and use professional terminology within the discipline
  • Work independently and in team and take the necessary initiatives
  • Identify common fields between this discipline and other professional disciplines and be open for inter disciplinary approach and cooperation.

Learning methods and activities

Lectures. Computations and laboratory excersises. Programming. Use of existing software.

Compulsory assignments

  • Exercises

Further on evaluation

Written exam accounts for 70% of the grade and project work accounts for 30% of the grade. Each part of the assessment will be awarded a letter grade, which is then combined into a single final grade for the course. Obligatory exercises must be approved in order to attend the exam. If there is a re-sit examination, the examination form may be changed from written to oral exam.

Course materials

Hofmann-Wellenhof et al: "GNSS". Compendia published at the department.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2024

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Geomatics
  • Geodesy
  • Nautic
  • Photogrammetry
  • Map subjects
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Civil and Environmental Engineering


Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 70/100 D INSPERA
Room Building Number of candidates
Spring ORD Project 30/100 INSPERA
Room Building Number of candidates
Summer UTS School exam 70/100 D INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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