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NATIONAL REPORT OF THE FEDERAL REPUBLIC OF ... - IAG Office

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42 Commission 2 – Gravity Field<br />

shorter integration times and hence a higher spatial resolution.<br />

The system showed good resolution and accuracy (2-3<br />

mGal / 1 km) at several test flights. See KREYE (2006),<br />

KREYE, HEIN (2003, 2004), KREYE et al. (2003, 2004,<br />

2006).<br />

For an overview of GNSS use for airborne gravimetry, see<br />

HEIN, KREYE, NIEDERMEIER, HEYEN, STELKENS-KOBSCH,<br />

BOEDECKER (2006). Future system innovations will include<br />

the use of Galileo.<br />

The 'Bayerische Erdmessungskommission (BEK)' at the<br />

Bavarian Academy of Sciences and Humanities, München,<br />

embarked on the construction of an airborne strapdown<br />

vector gravimeter from accelerometers, gyros, and signal<br />

processing components. This approach offers the opportunity<br />

for detailed optimisation and accounting for classical<br />

gravimetric techniques such as temperature control and<br />

optimised vibration damping (BOEDECKER, STÜRZE 2004).<br />

The current (patented) prototype SAGS4 e.g. uses an<br />

attitude determination by integrating fibre optical gyros and<br />

a GPS multi antennae system for enhanced long range<br />

stability (BOEDECKER 2005). Part of the sensor cluster are<br />

high rate GPS receivers sampling at 50 /s for high resolution<br />

and mm accuracy (STÜRZE, BOEDECKER 2004). The<br />

accelerometer noise is at the level of 1 mGal. Test flights<br />

with various aircraft provided operational experiences. A<br />

lift constructed for dynamic calibration provides transfer<br />

functions for the accelerometers as also for kinematic GNSS<br />

observations and thus enables a good system fit<br />

(BOEDECKER, STÜRZE 2006).<br />

The aforementioned groups of IFF, EN and BEK as also<br />

the 'Aerodata Flugmesstechnik GmbH', Braunschweig, did<br />

some coordinated research and joint test flights in 2002-<br />

2005 in the framework of the BMBF 'Geotechnologienprogramm'.<br />

3. Combination techniques, upward/downward<br />

continuation<br />

The different altitudes of gravity observations – ground,<br />

aircraft, satellite –, discretization and irregularity of topographic-isostatic<br />

masses pose a number of problems:<br />

At the 'Institut für Theoretische Geodäsie' of Bonn university,<br />

different downward continuation methods are compared<br />

and the impact of regularization of airborne gravimetry<br />

data and optional postprocessing filtering is<br />

addressed by MÜLLER, MAYER-GÜRR (2003) for simulated<br />

and real data. The gravity field effects of the topographicisostatic<br />

masses represent important information on the<br />

high-frequent part of the gravity field. MAKHLO<strong>OF</strong> et al.<br />

(2006), MAKHLO<strong>OF</strong>, ILK (2005, 2007a,b) and MAKHLO<strong>OF</strong><br />

(2007) address the physical-mathematical basics of the<br />

classical topographic-isostatic models. These models are<br />

formulated mathematically with the emphasis on a spherical<br />

approximation from the modelling point of view and on<br />

the observables of airborne gravimetry and modern satellite<br />

techniques from the application point of view. Besides the<br />

representation of the topographic-isostatic mass effects by<br />

volume integrals, discretized by spherical volume elements,<br />

the representations by series of spherical harmonics and<br />

space localizing base functions are considered. Detailed<br />

formulae are presented for the direct and secondary indirect<br />

topographical effects as well as for the primary indirect<br />

topographical effect in the geoid heights for the different<br />

representations. A specific topic in some articles is the<br />

determination of the so-called far-zones based on an<br />

approach which goes back to a formulation by Molodenskii.<br />

Extended test computations give an impression of the size<br />

and distribution of the various effects for regional and<br />

global test areas with different resolutions of the topography.<br />

In the framework of a cooperation between the 'Lehrstuhl<br />

Physikalische und Satellitengeodäsie' at Karlsruhe university<br />

and the University of Calgary, NOVAK et al. (2003)<br />

study geoid computations from airborne gravity data<br />

combined with global gravity models and ground data; this<br />

includes the downward continuation problem. After<br />

numerical tests with synthetic data, the procedure is applied<br />

to an airborne gravity data set observed in a test area (of<br />

about 100 km x 100 km, ~1mGal / 5 km) in Canada by<br />

Sander Geophysics Labs modern AIRGrav platform airborne<br />

gravimeter. The fusion / comparison with global<br />

gravity models and/or ground data demonstrates the<br />

progress by airborne gravimetry. NOVAK et al. (2003)<br />

evaluate the band-limited topographical effects in airborne<br />

gravimetry: The spectrum of airborne gravity observations<br />

(at height) is limited i) because of the attenuation of the<br />

gravity signal higher frequencies with increasing distance<br />

from the attracting irregular masses and ii) because of the<br />

low pass filtering of airborne gravity observations necessary<br />

mainly because of the aircrafts dynamics. Consequently,<br />

the topographical effects along the flight lines are also<br />

filtered by the same low pass filter. The resulting band<br />

limitation permits the application of global spherical<br />

harmonics for the topographical reduction which would not<br />

be possible for ground gravity values. Numerical tests are<br />

based on 3"x3" DEM in the Canadian Rockies using<br />

Helmerts reduction.<br />

4. Observation campaigns / commercial usage<br />

The Federal Agency for Cartography and Geodesy (BKG)<br />

and the Danish National Space Center (DNSC) carried out<br />

an airborne gravimetry campaign in the Southwest Baltic<br />

Sea and neighbouring land areas (~53.5/-55.5/ N, ~8/-15/<br />

E), using a LaCoste & Romberg airborne gravimeter (S-38).<br />

The observations were flown with a King Air B200 aircraft<br />

of COWI company on 23 parallel flight tracks along and<br />

4 across with a total of 10,000 km within 45 hours in<br />

October 2006. Partly, a Riegl laser scanner was also used.<br />

In summer 2007, a similar campaign is planned for the<br />

North Sea. (Reported by U. SCHÄFER, BKG; to be published<br />

2007).<br />

The Alfred-Wegener-Institute (AWI), Bremerhaven, has<br />

carried out a number of airborne gravimetry campaigns in<br />

Antarctica for the 'Validation, Densification and Interpretation<br />

of Satellite Data for the Determination of Magnetic<br />

Field, Gravity Field, Ice Mass Balance and Structure of the<br />

Earth Crust in Antarctica, Utilizing Airborne and Terrestrial<br />

Measurements' (VISA) on the inland ice sheet of the

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