Title: Tectonics through geodesy (GPS)
1Tectonics through geodesy (GPS)
Wednesday 1600-1730
Rocco Malservisi e-mail malservisi_at_geophysik.
uni-muenchen.de phone 21804202
Class Web page www.geophysik.lmu.de/malservisi/T
ectGPS.html
2What is GEODESY?
From Greek DIVIDING THE EARTH
Geodesy is the branch of applied mathematics
concerned with the determination of the size and
shape of the Earth, with the exact positions of
points on its surface, and with the description
of variations of its gravity field.
International Association of Geodesy definition
3What does this means?
How big is the Earth?
Where am I?
How far am I from a place?
Which is the shape of the planet?
In which direction should I go?
How tall is a mountain?
Where my property ends?
How big is my property?
Geodesy is answering these questions
4Who care about the shape of the Earth?
If we want to have a mathematical representation
of a point (points coordinate) we need to have a
reference surface we can refer to. Knowing the
shape of the Earth we can define this
surface. The gravity field gives the best
representation of the shape of the Earth.
5The shape of the Earth?
The Earth is almost a sphere with a
circumference 40000 km long The meter was
defined using this length.
6The shape of the Earth?
Eratosthenes (215 BC)
S4400 stadia 787km Q7.2 C39376km
R 6267 km
7The shape of the Earth?
XVII XVIII Century Discussion of Oblate-Prolate
spheroid
Cassini meridian south of France shorter than in
Paris PROLATE
British Pendulum slower at equator and Newton
equations OBLATE
XVIII Century (1730) Expedition of France
Academy Peru measurement 6376.45 km (Equatorial
Radius) Lapland measurement 6355.88 km (Polar
Radius) OBLATE!! Difference 1350m in 111km!!!
8The shape of the Earth?
The Earth is almost a sphere with a
circumference 40000 km long The meter was
defined using this length.
Better approximate by an oblate ellipsoid
Today accepted Value Equatorial Radius 6378
km Polar Radius 6357 km Sphere of Equal
Volume Radius 6371 km Flattening 1/298.25722356
3
9The shape of the Earth?
The real shape of the planet is approximated by
the Geoid THE EQUIPOTENTIAL SURFACE AT THE MEAN
SEA LEVEL
10We can divide geodesy
According to what we observe
According to method
OR
Global Geodesy Determination of shape of the
Earth, global references. Geodetic
Survey Determination of positions, and references
over a region for which the Earths curva- ture
can have influences. Plane Survey Determination
of positions and references on a local level.
Space Geodesy use of extra-terrestrial object as
observable. Terrestrial Geodesy Use of
terrestrial tools And observable
11TRADITIONAL SURVEY
Horizontal positioning
Vertical positioning
TRIANGULATION
GEODETIC LEVELING
TRILATERATION
TRIGONOMETRIC HEIGHTING
TRAVERSING
BAROMETRIC LEVELING
ASTRONOMICAL POSITIONING
TILTING
12TRADITIONAL SURVEY
Horizontal positioning
TRIANGULATION
13TRADITIONAL SURVEY
Horizontal positioning
TRILATERATION
14TRADITIONAL SURVEY
Horizontal positioning
TRAVERSE
EDM
15TRADITIONAL SURVEY
Vertical positioning
GEODETIC LEVELING
TRIGONOMETRIC HEIGHTING
16SPACE SURVEY
VLBI Very Long Baseline Interferometry
SLR Satellite Laser Ranging
GPS Global Positioning System Glonass
Galileo
DORIS
InSAR Interferometric Synthetic Aperture Radar
17 Very Long Baseline Interferometry
- VLBI is a geometric technique
- It measures the time difference between the
arrival at two Earth-based antennas of a radio
wavefront emitted by a distant quasar. - Using large numbers of time difference
measurements from many quasars observed with a
global network of antennas, VLBI determines the
inertial reference frame defined by the quasars
and simultaneously the precise positions of the
antennas.
18SLR Satellite Laser Ranging
19The Global Positioning System
- The Global Positioning System (GPS) is a
satellite-based navigation system. - GPS was originally intended for military
applications, but in the 1980s, the government
made the system available for civilian use. - GPS works in any weather conditions, anywhere in
the world, 24 hours a day. There are no
subscription fees or setup charges to use GPS - Some civilian uses
- Navigation on land, sea, air
- and space
- Geophysics research
- Guidance systems
- Geodetic network densification
- Hydrographic surveys
20Glonass GLObal NAvigation Satellite System
Glonass is a Soviet space-based navigation system
comparable to the American GPS system. The
operational system contains 21 satellites in 3
orbital planes, with 3 on-orbit spares.
Glonass provides 100 meters accuracy with its
C/A (deliberately degraded) signals and 10-20
meter accuracy with its P (military) signals.
21DORIS
Doppler Orbitography and Radio positioning
Integrated by Satellite Precise orbit
determination and location system using Doppler
shift measurement techniques. A global network
of 52 Doris orbitography beacons has been
deployed. Doris was developed by Cnes, the French
space agency, and is operated by CLS.
22InSAR
- Two or more data acquisition of the same area
from nearby location (lt 1000 m) - Enables detection of surface changes within cm
level accuracy
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