Unconstraint GRACE monthly solution for Apr 2006 Reference: Naeimi, M., Koch, I., Khami, A. and Flury, J.: IfE monthly gravity field solutions using the variational equations, European Geosciences Union (EGU), General Assembly 2018, Vienna, Austria, 8-13 April 2018: https://meetingorganizer.copernicus.org/EGU2018/EGU2018-1516-1.pdf generating institute Leibniz Universität Hannover (LUH), Institute of Geodesy (IfE) processing approach The classical variational equations processing software GRACE-SIGMA V.01 used data GRACE Level 1B product (range rates as main observations) begin_of_head =================================================== product_type gravity_field modelname LUH-GRACE2018-04_2006_Nmax80_RL01 radius 0.6378136300E+07 earth_gravity_constant 0.3986004415E+15 max_degree 80 norm fully_normalized tide_system zero_tide errors formal key L M C S sigma C sigma S end_of_head=================================================================================================== gfc 0 0 1.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 1 0 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 2 0 -4.84169153774290560e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57233363543959180e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39972192363835530e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.85190942705092130e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.50011142313263190e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05417609830013170e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94808567525761330e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.79972246987409350e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33415268745208970e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07544693003418490e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64316438837753770e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17247060830975220e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26584344402370330e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.19909740946504060e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.70732114691907170e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91881879402696090e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09832222943668250e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 gfc 5 1 -6.29334185656128210e-08 -9.43948333285628050e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 1 -7.59686324581433910e-08 2.65322103031680730e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 1 2.80892807245129150e-07 9.51453129435008310e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 1 2.31861711486970460e-08 5.88902179589253840e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 1 1.42150344381846550e-07 2.13975620564473870e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 1 8.37527348230541430e-08 -1.31081932577195380e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 1 1.56203740840442070e-08 -2.71286553435028170e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 1 -5.35743527113606960e-08 -4.31823399055403130e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 1 -5.14410509235190890e-08 3.86814599973583770e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 1 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 1 -2.73073588984401660e-09 -1.53417508006215450e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 1 6.37182109765190720e-09 -9.15513744750681300e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 26 1 -1.42047698390250130e-10 -6.64572665771340390e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 27 1 2.86164105427612130e-09 1.58928386163109050e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 28 1 -5.27660567458105820e-09 8.71809203417265120e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 29 1 4.02877973416319060e-09 -1.35302312837528550e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 30 1 2.72283010076794340e-10 1.08619869892523970e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 31 1 7.12214849755846080e-09 -1.84783942858454240e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 32 1 -7.54708859287916200e-11 3.57876152634816400e-09 0.00000000000000000e+00 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50611082301267310e-09 8.56001197848933790e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.84718933838441380e-10 -4.41334357721936390e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06035950903385790e-09 -6.66842599991050470e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42728977311213530e-09 9.55194139029513160e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.04533479498896470e-10 2.40865846171878450e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.81086744972177180e-10 -2.81018988815577220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.05681616431780950e-10 -4.37253208643614400e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.23818459514528340e-10 1.60417925548903140e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34371687620078130e-10 1.86729583632117960e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.98782331487591600e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50447049824909150e-07 -2.17102344043638060e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93658056701942760e-08 -8.59652232770996590e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60602849472617900e-07 -7.42506158672844200e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -7.01484470855851560e-09 -1.54135198967834510e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05734145723215130e-08 -1.48847171288020680e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96315188833699320e-08 2.50523887700618220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15574708485518730e-08 9.76900149715691390e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65139914485515440e-08 1.96978998539713410e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34177257934147200e-08 1.76647872715618480e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39070081264271020e-08 -2.13424653000883540e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30114288195299170e-09 5.07819991153168360e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04835784588077940e-09 -5.85721545765204350e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56224167780599910e-09 1.09931729702541990e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74604557624164360e-09 3.88980798474245580e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91453539734057670e-08 2.27218107461889560e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13411962011115170e-08 1.01203139236631900e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40735036616891100e-08 -1.74967302953587390e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80978984772773050e-09 -9.73512682623785620e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55138480334699070e-09 2.28882629137024830e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12182186651734780e-09 -1.80361996877011310e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81471995514249120e-09 -7.84087201219163040e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32993932207702830e-09 -4.70634819542191230e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89777863262622850e-09 6.06163429374634090e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17515946786749300e-09 -2.47885535923214800e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93793237662622120e-09 3.14453060848254230e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.80323215386249300e-11 9.94655890356855110e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.13318815223742570e-10 -1.45160669429424360e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.41020223462713280e-10 -4.18142464694198700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34369225810064800e-09 -5.94295746678391100e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71423588898097710e-09 -1.47676627617632990e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09736588051438740e-09 2.41526707927259790e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23338017568785070e-09 3.32017789174885410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92950788618710270e-10 1.68621815480770530e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.14775374857960230e-11 -5.21869863946898880e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14154622181887630e-09 -6.83755883027268930e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91717053246878170e-09 -6.75117744622854260e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.60764210158771330e-10 -1.69159297391837130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.67076603134806230e-10 -8.37557867438343940e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04485176804227920e-09 6.30365116809146690e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07156219543183810e-09 -7.69934614603922280e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.09288001754141810e-10 2.67975661257143240e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.97861518901080820e-10 1.19603540496372900e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10730560324553300e-09 -2.22673391817345240e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84177023539349450e-09 -1.24445058627549720e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.58831580786853170e-10 3.58955423425809030e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13183495022574340e-09 3.76808569947660250e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45843875028500640e-09 3.17799569962871490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.30831018183221320e-10 2.04666757211334550e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18779544405690370e-09 -1.27312767633233260e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.32297750059015560e-10 -2.37494071980538840e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64199817098704150e-09 5.26936011322132460e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88942967488140170e-09 4.09445421438530450e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91514111620275550e-09 3.88257915768236780e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37044579663396610e-09 -5.79036513899672440e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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