Unconstraint GRACE monthly solution for Apr 2007 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_2007_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 -4.84169202067977970e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57240198664331370e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39965190796257400e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.85360632439639670e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.50008454191023960e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05238936469734060e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94655144462295610e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.79910183331061540e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33425227035712840e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07470484385350030e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64462048786490470e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17256660400232250e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26588397618672350e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.20230738572104780e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.70793552394637660e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91817581160172540e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09751957332379260e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50754915079069820e-09 8.54754436310858430e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.85538568740489890e-10 -4.41583337944092910e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06168413367953090e-09 -6.65141058308798950e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42907976088321690e-09 9.56276053375191080e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.02340454481398250e-10 2.40737219673164440e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.80642005979259990e-10 -2.81053261753905900e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.03127891261748720e-10 -4.35670707515745800e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.26156542367374880e-10 1.55693380255228060e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34611278569967800e-10 1.86966092258436610e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.98434973764515700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50458042660520760e-07 -2.17118736971078800e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93582359197700910e-08 -8.59699077218886350e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60608345587873140e-07 -7.42516293661250280e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -7.00522657522543270e-09 -1.54121325312182700e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05783744870508840e-08 -1.48842929896480360e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96269943806479830e-08 2.50526509147588660e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15594857317339490e-08 9.76883291591671620e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65167853536639330e-08 1.97015355283270710e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34206981981513820e-08 1.76538032257067420e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39099807768369690e-08 -2.13466915229657520e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30220961129528090e-09 5.07600679437692210e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04324960954800130e-09 -5.85259023682334990e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56373332758956720e-09 1.09321284498674980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74582484593754180e-09 3.88989296576118070e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91453846294283110e-08 2.27207930826103710e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13430296149494160e-08 1.01208682786857010e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40769841869825950e-08 -1.74980875838759870e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.81138607009540160e-09 -9.73588133770950530e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55205052018328450e-09 2.28973318908244580e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12270929075312390e-09 -1.80370180473428660e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81513667568938020e-09 -7.84824187087591060e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.33041619370054570e-09 -4.71320794727703520e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89858221666093430e-09 6.06095920492963150e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17540727253910120e-09 -2.47865397088631540e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93902603799113560e-09 3.14406288517808360e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.70594837186983220e-11 9.94516198465655340e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11229046282059210e-10 -1.45916817271711610e-10 0.00000000000000000e+00 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.59816348529683150e-10 -1.68939196157540160e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.67122003308242430e-10 -8.38788908000525230e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04730217129216870e-09 6.29625607165996000e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07256129078747750e-09 -7.70463495676305460e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.07734928985921410e-10 2.66440462747169900e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.97368398504792340e-10 1.19629274542742690e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10555445628573660e-09 -2.22317876701405940e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84195277629276100e-09 -1.24494045899573930e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.57913370185047410e-10 3.57518736216179950e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13605336990377350e-09 3.76845250400693130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45475105948853620e-09 3.17754610605500430e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.31434777649433690e-10 2.00158411639057280e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18546505497544130e-09 -1.26685572044178650e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.29699643680171440e-10 -2.37161648645673500e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64024652351467840e-09 5.26084653759029480e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88832846646468560e-09 4.03697137852277950e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91431711831126740e-09 3.88292232511956030e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37419457569081190e-09 -5.77867789847947110e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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