Mathematical geodesy
Mathematical geodesy is used as a collective term for the mathematical fundamentals and methods of geodesy . It is mostly viewed as a sub-area of theoretical geodesy , but the classification in the professional world is not uniform, therefore the word " geomathematics " has now become natural for the strongly mathematical areas of mathematical geodesy.
Mathematical geodesy applies the methods of higher mathematics to the geometric and physical problems of geodesy, using in particular mathematical statistics and geometry. Specific areas of responsibility in mathematical geodesy include:
- mathematical models for measurements and their correlations
- Time series of geodetic phenomena (e.g. the earth's rotation )
- Derivation of parameters of the earth ellipsoid and physical earth models
- Geodetic reference systems , geodetic date of national surveys
- Map design theory and geodetic mapping theory
- Coordinate transformations , geodetic main tasks and other calculations on reference surfaces
- Relationships between three - and two - dimensional point determinations, height systems
- Reduction of measurements due to vertical deviations and gravity anomalies
- Interpolation and smoothing of surfaces, prediction calculation
- astro-geodetic network adjustment , mathematical-physical collocation
literature
- Walter Großmann: Geodetic calculations and images in the land survey , Konrad Wittwer publishing house in Stuttgart 1964
- K.Ledersteger : Astronomical and Physical Geodesy (Earth Measurement) , JEK Volume V (870 p., Especially p.250-257 and p.645-655), JBMetzler-Verlag, Stuttgart 1968
- W. Torge : Geodesy (1975) and Geodesy (2001), de Gruyter-Verlag Berlin
- Jürgen Bollmann, Wolf Günther Koch: Lexicon of cartography and geomatics . Spectrum Academic Publishing House, Heidelberg-Berlin 2002
- K.Bretterbauer , H.Schuh : Higher Geodesy . Script for the lecture of the same name, approx. 200 pages, Vienna University of Technology 1998 and 2003
Individual evidence
- ↑ Willi Freeden: "Geomathematik, what is that anyway?", DMV annual report, Volume 111 (2009), Issue 3, 125 - 152