Objective of the course – aims of the course unit:
Gettin detailed knowledge of Earth´s gravity field and its mathematical decription. Understanding the theory of gravity potential and theory of heights. Acquaintance with modern methods of Earth´s shape determination, with Earth´s composition and the geophysical parameters.
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Objective of the course – learning outcomes and competences:
n. a.
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Prerequisites:
Advanced methods of mathematical analysis. Fundamental principles of geophysics and astronomy. Fundamentals of gravitational theory.
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Course contents (annotation):
Fundamentals of gravity potential theory Gravity potential of a general body in outer potential point. Spherical harmonic functions and Legendre´s functions. Poisson´s equation, Laplace´s equation and some of the solutions. Field of centrifugal force of the rotating Earth. Field of tidal forces. Earth´s gravity field. Gravity potential level surfaces of gravity potential. Fundamentals of theory of heights. Stokes´ parameters and their determination. Normal gravity and gravity force field of level spheroids. Earth´s normal gravity field. Measurement of fundamental gravity field parameters. Statistical methods of physical geodesy. Interpolation and extrapolation of gravity anomalies. Modern methods for determination of the Earth´s shape. Fundamentals of Earth´s composition, tidal phemomena, local and regional geodynamics. Earth´s magnetic and thermal field.
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Teaching methods and criteria:
n. a.
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Assesment methods and criteria linked to learning outcomes:
Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.
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Course curriculum:
1. Gravity potential theory. Spherical harmonic functions and Legendre´s functions. Poisson´s equation, Laplace´s equation and some of the solutions.
2. Field of centrifugal force of the rotating Earth. Field of tidal forces. Earth´s gravity field. Gravity potential level surfaces of gravity potential.
3. Theory of heights. Stokes´ parameters and their determination. Normal gravity and gravity force field of level spheroids.
4. Earth´s normal gravity field. Measurement of fundamental gravity field parameters.
5. Statistical methods of physical geodesy. Interpolation and extrapolation of gravity anomalies. Modern methods for determination of the Earth´s shape.
6. Earth´s composition, tidal phemomena, local and regional geodynamics. Earth´s magnetic and thermal field.
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Specification of controlled education, way of implementation and compensation for absences:
Extent and forms are specified by guarantor’s regulation updated for every academic year.
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Recommended reading:
Torge, W.: Geodesy. de Gruyter 2001
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