The Gravity Field Model EIGEN-6S4 (Version 2) ------------------------------------------------------------------------------------- EIGEN-6S4 (Version 2) is a satellite-only global gravity field model from the combination of LAGEOS, GRACE and GOCE data. All spherical harmonic coefficients up to degree/order 80 are time variable. Their time variable parameters consist of drifts as well as annual and semi-annual variations per year. The time series of the time variable spherical harmonic coefficients are based on the LAGEOS-1/2 solution (1985 to 2003) and the GRACE-LAGEOS monthly gravity fields RL03-v2 (August 2002 to July 2014) from GRGS/Toulouse (Bruinsma et al. 2009). The herein included GRACE/LAGEOS data were combined with all GOCE data which have been processed via the direct numerical approach (Pail et al. 2011). The polar gap instabilty has been overcome using the Sperical Cap Regularization (Metzler and Pail 2005). That means this model is a combination of LAGEOS/GACE with GO_CONS_GCF_2_DIR_R5 (Bruinsma et al. 2013) This data set is an updated version of Foerste et al. (2016, http://doi.org/10.5880/icgem.2016.004) Compared to the first version, EIGEN-6S4v2 contains an improved modelling of the time variable part, in particular for C20. Please cite EIGEN-6S4 as follows: ----------------------------------- Foerste C., Bruinsma S.L., Rudenko S., Abrikosov O., Lemoine J.-M., Marty J.-C., Hans Neumayer K. H. and Richard Biancale, R. (2016), EIGEN-6S4 A time-variable satellite-only gravity field model to d/o 300 based on LAGEOS, GRACE and GOCE data from the collaboration of GFZ Potsdam and GRGS Toulouse (Version 2). GFZ Data Services. http://doi.org/10.5880/icgem.2016.008 References: -------------- Bruinsma, S.L., J.M. Lemoine, R. Biancale, N. Vales (2009) CNES/GRGS 10-day gravity field models (release 2) and their evaluation, Adv. Space Res., doi:10.1016/j.asr.2009.10.012. Bruinsma, S.L., Christoph Foerste, Oleg Abrikosov, Jean-Michel Lemoine, Jean-Charles Marty, Sandrine Mulet, Marie-Helene Rio, and Sylvain Bonvalot (2014), ESA's satellite-only gravity field model via the direct approach based on all GOCE data, Geophys. Research Letters, doi: 10.1002/2014GL062045 Metzler, B., & Pail, R. (2005). GOCE Data Processing: The Spherical Cap Regularization Approach. Studia Geophysica et Geodaetica, 49(4), 441 - 462. doi:10.1007/s11200-005-0021-5 Pail R., Bruinsma S., Migliaccio F., Foerste C., Goiginger H., Schuh W.-D, Hoeck E, Reguzzoni M., Brockmann J.M, Abrikosov O., Veicherts M., Fecher T., Mayrhofer R., Krasbutter I., Sanso F. & Tscherning C.C., 2011, First GOCE gravity field models derived by three different approaches. Journal of Geodesy, 85(11), 819 - 843. doi:10.1007/s00190-011-0467-x begin_of_head ===================================== format icgem2.0 product_type gravity_field modelname EIGEN-6S4v2 earth_gravity_constant 0.3986004415E+15 radius 0.6378136460E+07 max_degree 300 errors calibrated (sigma calibration factor = 2.00) norm fully_normalized tide_system tide_free key L M C S sigma C sigma S t0[yyyymmdd.xxxx] t1[yyyymmdd.xxxx] period[y] end_of_head ============================================================================================================= gfc 0 0 1.00000000000E+00 0.00000000000E+00 0.0000E+00 0.0000E+00 gfct 1 0 7.01776593302E-11 0.00000000000E+00 1.3180E-13 0.0000E+00 19500101.0000 20020815.0817 trnd 1 0 0.00000000000E+00 0.00000000000E+00 0.0000E+00 0.0000E+00 19500101.0000 20020815.0817 acos 1 0 7.81500675516E-11 0.00000000000E+00 3.5640E-14 0.0000E+00 19500101.0000 20020815.0817 1.0 asin 1 0 -2.91423806169E-12 0.00000000000E+00 3.6200E-14 0.0000E+00 19500101.0000 20020815.0817 1.0 acos 1 0 -3.34601799827E-11 0.00000000000E+00 3.4480E-14 0.0000E+00 19500101.0000 20020815.0817 0.5 asin 1 0 -2.09359348050E-11 0.00000000000E+00 3.3920E-14 0.0000E+00 19500101.0000 20020815.0817 0.5 gfct 1 0 7.01776593302E-11 0.00000000000E+00 1.3180E-13 0.0000E+00 20020815.0817 20030101.0000 trnd 1 0 -3.77603884451E-12 0.00000000000E+00 2.4210E-13 0.0000E+00 20020815.0817 20030101.0000 acos 1 0 7.82954716489E-11 0.00000000000E+00 1.5400E-13 0.0000E+00 20020815.0817 20030101.0000 1.0 asin 1 0 -2.73582797094E-12 0.00000000000E+00 1.0520E-13 0.0000E+00 20020815.0817 20030101.0000 1.0 acos 1 0 -3.36579162445E-11 0.00000000000E+00 1.3510E-13 0.0000E+00 20020815.0817 20030101.0000 0.5 asin 1 0 -2.06958680138E-11 0.00000000000E+00 1.5250E-13 0.0000E+00 20020815.0817 20030101.0000 0.5 gfct 1 0 6.87432297897E-11 0.00000000000E+00 1.1030E-13 0.0000E+00 20030101.0000 20040101.0000 trnd 1 0 -4.96847579522E-12 0.00000000000E+00 2.1030E-13 0.0000E+00 20030101.0000 20040101.0000 acos 1 0 7.82241505823E-11 0.00000000000E+00 5.3280E-14 0.0000E+00 20030101.0000 20040101.0000 1.0 asin 1 0 -3.41050412917E-12 0.00000000000E+00 8.1540E-14 0.0000E+00 20030101.0000 20040101.0000 1.0 acos 1 0 -3.35798492155E-11 0.00000000000E+00 5.1700E-14 0.0000E+00 20030101.0000 20040101.0000 0.5 asin 1 0 -2.07233495045E-11 0.00000000000E+00 6.4780E-14 0.0000E+00 20030101.0000 20040101.0000 0.5 gfct 1 0 6.37747539945E-11 0.00000000000E+00 1.0000E-13 0.0000E+00 20040101.0000 20041226.0060 trnd 1 0 -4.08911656745E-12 0.00000000000E+00 2.1080E-13 0.0000E+00 20040101.0000 20041226.0060 acos 1 0 7.81421907426E-11 0.00000000000E+00 4.6290E-14 0.0000E+00 20040101.0000 20041226.0060 1.0 asin 1 0 -2.72184741671E-12 0.00000000000E+00 8.3380E-14 0.0000E+00 20040101.0000 20041226.0060 1.0 acos 1 0 -3.34346635668E-11 0.00000000000E+00 4.6240E-14 0.0000E+00 20040101.0000 20041226.0060 0.5 asin 1 0 -2.09126241603E-11 0.00000000000E+00 6.2460E-14 0.0000E+00 20040101.0000 20041226.0060 0.5 gfct 1 0 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0.00000000000E+00 4.2580E-14 0.0000E+00 20060101.0000 20070101.0000 0.5 asin 1 0 -2.08860228624E-11 0.00000000000E+00 5.7800E-14 0.0000E+00 20060101.0000 20070101.0000 0.5 gfct 1 0 5.08601152380E-11 0.00000000000E+00 7.5940E-14 0.0000E+00 20070101.0000 20080101.0000 trnd 1 0 -4.81018016902E-12 0.00000000000E+00 1.4690E-13 0.0000E+00 20070101.0000 20080101.0000 acos 1 0 7.82441380896E-11 0.00000000000E+00 4.2200E-14 0.0000E+00 20070101.0000 20080101.0000 1.0 asin 1 0 -3.35794355627E-12 0.00000000000E+00 6.7280E-14 0.0000E+00 20070101.0000 20080101.0000 1.0 acos 1 0 -3.35503985099E-11 0.00000000000E+00 4.2180E-14 0.0000E+00 20070101.0000 20080101.0000 0.5 asin 1 0 -2.06999314379E-11 0.00000000000E+00 5.6870E-14 0.0000E+00 20070101.0000 20080101.0000 0.5 gfct 1 0 4.60499350690E-11 0.00000000000E+00 7.0940E-14 0.0000E+00 20080101.0000 20090101.0000 trnd 1 0 -4.21705542223E-12 0.00000000000E+00 1.3390E-13 0.0000E+00 20080101.0000 20090101.0000 acos 1 0 7.81673945311E-11 0.00000000000E+00 4.2500E-14 0.0000E+00 20080101.0000 20090101.0000 1.0 asin 1 0 -2.76291407110E-12 0.00000000000E+00 6.4750E-14 0.0000E+00 20080101.0000 20090101.0000 1.0 acos 1 0 -3.34096427829E-11 0.00000000000E+00 4.2480E-14 0.0000E+00 20080101.0000 20090101.0000 0.5 asin 1 0 -2.09338625487E-11 0.00000000000E+00 5.6200E-14 0.0000E+00 20080101.0000 20090101.0000 0.5 gfct 1 0 4.18328796468E-11 0.00000000000E+00 6.2920E-14 0.0000E+00 20090101.0000 20100227.0735 trnd 1 0 -4.46621169274E-12 0.00000000000E+00 1.3430E-13 0.0000E+00 20090101.0000 20100227.0735 acos 1 0 7.81173300552E-11 0.00000000000E+00 4.3610E-14 0.0000E+00 20090101.0000 20100227.0735 1.0 asin 1 0 -2.57110835293E-12 0.00000000000E+00 5.5600E-14 0.0000E+00 20090101.0000 20100227.0735 1.0 acos 1 0 -3.33453960163E-11 0.00000000000E+00 4.3310E-14 0.0000E+00 20090101.0000 20100227.0735 0.5 asin 1 0 -2.12117549734E-11 0.00000000000E+00 4.9030E-14 0.0000E+00 20090101.0000 20100227.0735 0.5 gfct 1 0 3.65797688246E-11 0.00000000000E+00 1.4480E-13 0.0000E+00 20100227.0735 20110311.0515 trnd 1 0 -4.28368477526E-12 0.00000000000E+00 2.9410E-13 0.0000E+00 20100227.0735 20110311.0515 acos 1 0 7.80603736683E-11 0.00000000000E+00 9.6860E-14 0.0000E+00 20100227.0735 20110311.0515 1.0 asin 1 0 -2.88008955486E-12 0.00000000000E+00 7.0000E-14 0.0000E+00 20100227.0735 20110311.0515 1.0 acos 1 0 -3.35491907792E-11 0.00000000000E+00 7.1800E-14 0.0000E+00 20100227.0735 20110311.0515 0.5 asin 1 0 -2.09469433351E-11 0.00000000000E+00 5.8310E-14 0.0000E+00 20100227.0735 20110311.0515 0.5 gfct 1 0 3.25885323896E-11 0.00000000000E+00 1.1160E-13 0.0000E+00 20110311.0515 20120101.0000 trnd 1 0 -5.70754407777E-12 0.00000000000E+00 2.1990E-13 0.0000E+00 20110311.0515 20120101.0000 acos 1 0 7.83502368398E-11 0.00000000000E+00 5.3690E-14 0.0000E+00 20110311.0515 20120101.0000 1.0 asin 1 0 -3.55484030744E-12 0.00000000000E+00 8.8840E-14 0.0000E+00 20110311.0515 20120101.0000 1.0 acos 1 0 -3.35126088522E-11 0.00000000000E+00 4.7200E-14 0.0000E+00 20110311.0515 20120101.0000 0.5 asin 1 0 -2.06978487038E-11 0.00000000000E+00 6.6110E-14 0.0000E+00 20110311.0515 20120101.0000 0.5 gfct 1 0 2.79633669708E-11 0.00000000000E+00 1.0820E-13 0.0000E+00 20120101.0000 20130101.0000 trnd 1 0 -3.69825207693E-12 0.00000000000E+00 2.0230E-13 0.0000E+00 20120101.0000 20130101.0000 acos 1 0 7.82200444497E-11 0.00000000000E+00 4.7290E-14 0.0000E+00 20120101.0000 20130101.0000 1.0 asin 1 0 -2.59878908273E-12 0.00000000000E+00 8.9870E-14 0.0000E+00 20120101.0000 20130101.0000 1.0 acos 1 0 -3.33602085179E-11 0.00000000000E+00 5.1860E-14 0.0000E+00 20120101.0000 20130101.0000 0.5 asin 1 0 -2.08487450562E-11 0.00000000000E+00 6.4440E-14 0.0000E+00 20120101.0000 20130101.0000 0.5 gfct 1 0 2.42651148938E-11 0.00000000000E+00 9.4020E-14 0.0000E+00 20130101.0000 20140101.0000 trnd 1 0 -4.92162440077E-12 0.00000000000E+00 2.1630E-13 0.0000E+00 20130101.0000 20140101.0000 acos 1 0 7.81583046548E-11 0.00000000000E+00 5.0120E-14 0.0000E+00 20130101.0000 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