OGD19TG - Theoretical Geodesy

Course specification
Type of study	Bachelor academic studies
Study programme
Course title	Theoretical Geodesy
Acronym	Status	Semester	Number of classes	ESPB
OGD19TG	mandatory	6	3П + 2В	6.0
Lecturers
Lecturer (for classes)	doc. dr Sanja Tucikešić doc. dr Dejan Vasić
Lecturer/Associate (for practice)	doc. dr Dejan Vasić
Condition				Облик условљености
Mathematics 4				Course completed
The goal
Introducing students to the basics of geodesy as a science that studies and interprets the size, shape and external gravitational field of the body of the Earth and other planets, the Earth's rotation, the Earth's tides, heights, height systems and geodynamic phenomena.
The outcome
Students are familiar with: the Earth's structure and atmosphere, the influence of the Earth's gravity field and geodetic models of the Earth's body, height systems, the geometry of a revolving (level) ellipsoid, mathematical models used in defining and creating geodetic reference frames and reference surfaces.
Contents
Introduction. Historical development of geodesy. Definition of geodesy. The size and shape of the Earth. Movement of the Earth's body. Earth's atmosphere. Structure of the Earth's body. The physical surface of the Earth. Earth's gravitational field. Earth's gravity field. Geoid. Rotational, level ellipsoid. Natural coordinates. Geodetic coordinates. Transformation of coordinates. Radius of curvature. The length of the arc of the meridian. The length of the arc of the parallel. Dual normal sections. Geodesic. Properties of a geodesic on an ellipsoid. Forward geodetic problem. Inverse geodetic problem. Gravitational force. Potential of gravitational force. Spherical harmonic expansion of the gravitational force potential. Boundary value problems of the gravitational force potential theory. Laplace and Poisson's differential equation. Earth's gravity. The potential of the Earth's gravity. Normal Earth gravity and normal potential. Spherical harmonic expansion of the normal potential. Anomalous potential. Functionals of anomalous potential. Stokes formula. Wenning Meines formula. Astrogeodetic leveling. Gravity reduction. Theory of isostasy. Molodensky's theory. Statistical methods in physical geodesy. Measuring the acceleration of Earth's gravity. Gravimetry. Absolute and relative gravimeters (concepts). Dedicated satellite missions. Geopotential heights. Height systems. Changes in the size, shape and external field of the Earth's gravity over time.
Methods of teaching
Lectures and practical exercises.
Literature
Torge W., Geodesy, Walter de Gruyter, Berlin-New York, 2001. (Original title) Torge W., Gravimetry, Walter de Gruyter, Berlin-New York, 1989. (Original title) Odalović, O., Physical Geodesy, Faculty of Civil Engineering, Belgrade 2010.
Облици провјере знања и оцјењивање
Elaboration of exercises. Calculus colloquiums. Oral exam.