NATIONAL REPORT OF THE FEDERAL REPUBLIC OF ... - IAG Office
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see ILK et al. (2005b), MAYER-GÜRR et al. (2006), MAYER-<br />
GÜRR (2006); Integration approach, see NOVAK et al.<br />
(2006); Multiscale modelling, see FENGLER et al. (2004a)<br />
(2005, 2007), SCHMIDT M. et al. (2006). Several solutions<br />
have been computed from the GRACE data (see chapter<br />
on global models).<br />
GOCE: As the GOCE mission is not yet in orbit, work<br />
concentrated on preparations for using the new type of<br />
gravity gradient observations for global gravity field<br />
modelling, on calibration & validation of the GOCE gravity<br />
gradient data and on required computational efforts for a<br />
global model up to degree and order 250. For more details<br />
on the GOCE mission and products, see GRUBER &<br />
RUMMEL (2006), GRUBER et al. (2006) (2007), KOOP et al.<br />
(2007), RUMMEL et al. (2003b) (2004) (2007). The major<br />
work was focused on using GOCE data for gravity field<br />
recovery. Different approaches as well as techniques to<br />
filter the band-limited gradient observations have been<br />
developed and implemented. For more details see: ABRI-<br />
KOSOV & SCHWINTZER (2004), ABRIKOSOV et al. (2006)<br />
(2007a) (2007b), BAUR & SNEEUW (2007), EICKER et al.<br />
(2005) (2006), FÖRSTE et al. (2007), KARGOLL (2003, 2005),<br />
MAYER-GÜRR et al. (2003b) (2003c), PAIL et al. (2005)<br />
(2007a) (2007b) (2007c), SCHUH W.D. (2003a) (2003b),<br />
SCHUH W.D. et al. (2007), WERMUTH et al. (2003, 2006),<br />
WILD & HECK (2004) (2005). As the computational effort<br />
to determine a GOCE gravity field solution is extraordinary,<br />
another focal point was the derivation and implementation<br />
of efficient algorithms. More details can be found in:<br />
ALKHATIB (2003), ALKHATIB & SCHUH (2007), AUSTEN et<br />
al. (2006), AUSTEN & KELLER (2006), BAUR & GRAFAREND<br />
(2005, 2006), BAUR et al. (2006), BAUR & KUSCHE (2007),<br />
BOXHAMMER (2003) (2006), BOXHAMMER & SCHUH (2006),<br />
GUNDLICH et al. (2003), KOCH et al. (2004), KOCH (2005).<br />
Gravity gradients observed in space by the GOCE mission<br />
are internally and externally calibrated. The calibration is<br />
crucial for the quality of the final global gravity field<br />
models. Several papers address methods and tools either<br />
to calibrate or to validate the observed gravity gradients.<br />
See: BOUMAN et al. (2005), DENKER (2003), DENKER et al.<br />
(2003), DIETRICH et al. (2004), JARECKI & MÜLLER (2003),<br />
JARECKI et al. (2006), MÜLLER (2003a), MÜLLER et al.<br />
(2003b) (2004), STUMMER (2006), TOTH et al. (2005a)<br />
(2005b), WOLF et al. (2003) (2004) (2005), WOLF (2006).<br />
Global Models<br />
The following global gravity field models have been<br />
published by groups in Germany (some in cooperation with<br />
other international partners):<br />
– EIGEN-2 : CHAMP, GeoForschungsZentrum Potsdam,<br />
REIGBER et al. (2003d);<br />
– EIGEN-CHAMP03S: CHAMP: GeoForschungsZentrum<br />
Potsdam, REIGBER et al. (2005b);<br />
– EIGEN-GRACE02S: GRACE, GeoForschungsZentrum<br />
Potsdam, REIGBER et al. (2005a);<br />
– EIGEN-CG01C: GRACE & surface data, Geo-<br />
ForschungsZentrum Potsdam, REIGBER et al.(2006b);<br />
T. Gruber: Global Gravity Field Modelling 51<br />
– EIGEN-CG03C: GRACE & surface data, Geo-<br />
ForschungsZentrum Potsdam;<br />
– EIGEN-GL04S: GRACE, LAGEOS, GeoForschungs-<br />
Zentrum Potsdam;<br />
– EIGEN-GL04C: GRACE, LAGEOS & surface data,<br />
GeoForschungsZentrum Potsdam;<br />
– ITG-CHAMP01: CHAMP, Universität Bonn, MAYER-<br />
GÜRR et al. (2005a), ILK et al. (2005a);<br />
– ITG-GRACE02s : GRACE, Universität Bonn, MAYER-<br />
GÜRR et al. (2007);<br />
– SWITCH-03: CHAMP, Technische Universität Kaiserslautern,<br />
FENGLER et al. (2004b);<br />
– TUM-1s: CHAMP, Technische Universität München,<br />
GERLACH et al. (2003a);<br />
– TUM-2sp: CHAMP, Technische Universität München,<br />
FÖLDVARY et al. (2005);<br />
– TUM-2s: CHAMP, Technische Universität München.<br />
Model Validation<br />
The validation of global gravity field models by means of<br />
independent data and observations becomes more and more<br />
important, because the mission data from CHAMP, GRACE<br />
and GOCE provide fields with unprecedented accuracy. In<br />
opposite, gravity field solutions from these missions can<br />
also be applied for validating ground data. GRUBER (2004)<br />
summarizes classical concepts, which can be applied for<br />
validating satellite derived global gravity field models. ILK<br />
& LÖCHER (2005c), LÖCHER & ILK (2005) (2007) apply<br />
energy balance equations for validating gravity field models<br />
and orbits. KLOKOCNIK et al. (2005) and ROMANOVA et al.<br />
(2007) use satellite altimeter data via the crossover technique<br />
and ocean state estimation procedures, respectively,<br />
for validating global gravity field models by means of<br />
independent data over the oceans. Finally, ROLAND &<br />
DENKER (2003) (2005b) (2005c) and ROLAND (2005a) use<br />
global gravity field models for validating observed gravity<br />
data on ground. All methods require the application of filter<br />
techniques in order to enable the comparison of bandlimited<br />
global models (by a truncated spherical harmonic<br />
series) to observed ground data containing the full signal.<br />
Future Prospects<br />
A few studies on the requirements and instrumentation of<br />
future gravimetry satellite missions have been performed<br />
during the reporting period. These studies were focused on<br />
the identification of the scientific requirements for the<br />
different science applications, see AGUIRRE-MARTINEC &<br />
SNEEUW (2003), FLURY & RUMMEL (2005) and Sneeuw et<br />
al (2005b). Further studies recently have been initiated,<br />
which will identify more details of potential future mission<br />
scenarios and possible instrumentation configurations.<br />
During the next couple of years the analysis of the GRACE<br />
mission data as well the availability of the GOCE gravity<br />
gradients will drive the further development in this area.<br />
It can be expected that new sets of gravity field models<br />
either from GRACE or GOCE only and from combinations