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g-Extractor
Gravimetry
A medium approximation of the acceleration due to gravity
g in Germany is often set to 9.81 m/s2
which varies with ± 0.004 m/s2
in the North and the South.
A lot of applications in physics and technique, which underlie the
gravity influence, expect an uncertainty below.
The following small program allows to calculate the local gravity
depending on the latitude and the height above sea level with a
global relative uncertainty of
Dg/g
~10-4. The implemented algorithm is based upon the
mathematical model of the so-called Normal Gravity Field.
The longitude is not required, since the model is defined by a
rotationally symmetric ellipsoid.(Geodetic Reference System 1980):

with
    : Latitude
   Hp : Height above sea level
A comparison of calculated and locally measured gravity values
can be seen in a tabulated sample of
50 European cities
or in the associated
map of gravity anomalies.
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Eine web-fähige Einbindung eines globalen Höhenmodells ist für einen späteren
Zeitpunkt vorgesehen.
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© Physikalisch-Technische Bundesanstalt
Page created: 2007-07-02, last update: 2007-07-02
, Marcus Link
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