Postgraduate
Course: Geomodeling and -visualization 2007
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Lectures
by Professor Reiner Rummel on 24th September 2007 ( 09:00-16:00 )Lecture material
Geodesy
and Earth Sciences
- The
three fundamental fields of geodesy: determination of (1) the shape
of the earth (locally, globally, temporal changes), (2) earth
rotation (nutation, length of day and polar motion) and (3) gravity
field (static and time variable) and the relevance of these fields
for earth sciences.
- Geodesy
and its role for understanding the earth as a system
- Global
Geodetic Observing System (GGOS) and its scientific rationale
- Example:
geodesy and its contribution to understanding sea level change
- Challenges
of the next decades
Introduction
to Gravity Field Modelling
- What
is a gravity model? Normal field, earth tides, fundamental constants,
Mathematical representation as a truncated spherical harmonic series,
triangular plot, degree variances, error degree variances.
- Role
of gravity models in geo-sciences
Modern
Satellite Gravimetry
- The
story of Newtons falling apple; absolute gravimetry and its analogy
with “falling satellites”; trends in satellite gravimetry
(inter-satellite measurements, satellite gradiometry); the missions
CHAMP, GRACE and GOCE; principles of satellite gradiometry
A
Pocket Guide to Physical Geodesy
- More
on modern satellite gravimetry – now expressed in formulas;
- Spectral
properties of gravity quantities on the sphere and their analogy to
signal processing;
- Typical
properties of signal and noise.
Tutorial
on Gravity Models
- Geoid
and gravity anomalies from a give set of spherical harmonics;
- Spherical
harmonic synthesis and analysis;
- Typical
“statistical” measures;
- Application
of pocket guide.