Unconstraint GRACE monthly solution for Jan 2009 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-GRACE2018-01_2009_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 -4.84169297373652130e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57176868876606120e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39994413256812000e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86135879278573660e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.50010232821164480e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.04956859377110280e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94637274099622670e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80079087469898810e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33581880282932970e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07643400735908710e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64460108681708900e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17317622349068690e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26609292826702110e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.18768714283330080e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.70855491217938230e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91871551488976870e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09702890223015760e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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1.23539547438583630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 1 -8.78496762765968980e-11 -9.67412102892357490e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 2 2 2.43933769566669050e-06 -1.40015773304136450e-06 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 2 9.04808586109017180e-07 -6.19035690936944960e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 2 3.50480301883704370e-07 6.62502805055873170e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 2 6.52038850238866330e-07 -3.23357732750535710e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 2 4.86143399855305170e-08 -3.73776984956454750e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 2 3.30380668853822930e-07 9.30431985297757630e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 2 8.00208693726959000e-08 6.53091471917990140e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 2 2.14197111554420400e-08 -3.16781231625694420e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 2 -9.39748420665599970e-08 -5.12622626011338400e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 2 2.01178458002544960e-08 -9.89903175143334670e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 2 1.42812165704748880e-08 3.10885580831028250e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 2 5.53116998227000790e-08 -6.26857322359612670e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 2 -3.59106699068573890e-08 -4.06447856647596410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 2 -2.05288994435829880e-08 -3.03030045297870910e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 2 -2.45066975281936710e-08 2.80203463251745820e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 2 -2.01000394726147590e-08 6.81387007916952900e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 2 1.47274727086581820e-08 1.08274634252133090e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 2 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50752374808825820e-09 8.55701358910983130e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.86728329113963010e-10 -4.41563043163661040e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06037529073675020e-09 -6.64868354628498520e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42817795969046960e-09 9.55819226117941910e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.02812123632927220e-10 2.40732720906994330e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.79664533071796720e-10 -2.81048983549844710e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.06365723373906860e-10 -4.36423242874407840e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.28130548208856070e-10 1.35262120964307620e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34038985780240400e-10 1.86691110535739330e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.99339902973804760e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50467540404441360e-07 -2.17093099054337310e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93640473605979720e-08 -8.59476692808286120e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60609502654617180e-07 -7.42444119537673920e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.99144039112692800e-09 -1.54120723065596970e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05662166799667830e-08 -1.48837915158359300e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96323380151547120e-08 2.50662862605573000e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15512001710088710e-08 9.76865060293802260e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65258323405572250e-08 1.96984049849021100e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34150631770001760e-08 1.76554444875235510e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39070369806104720e-08 -2.13403983561042440e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30459437488941360e-09 5.07502789164223220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.03942090726890820e-09 -5.85559515620091520e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56143745605135760e-09 1.09629355606666980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74447218029191830e-09 3.88973317102082450e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91430157067857640e-08 2.27216742439464770e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13451464782261850e-08 1.01224186681605930e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40731901553464560e-08 -1.74962265249439430e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.81067682528005850e-09 -9.73766597598571790e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55172936865691990e-09 2.28994173709193610e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12319501902064550e-09 -1.80372172911154680e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81236282330155460e-09 -7.81635748760411500e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32932116873761790e-09 -4.71469757967908290e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89833415979219060e-09 6.06315871090650830e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17513547333543810e-09 -2.47863702462707130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93965248530509350e-09 3.14523451872254420e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.61511907439755240e-11 9.94591262663708400e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11197213195799410e-10 -1.44644260627965360e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.38730111316800930e-10 -4.17989078037632940e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34317095755714830e-09 -5.94314589233296800e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71170181010633490e-09 -1.46444025741870640e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09664991567037290e-09 2.41547289093013730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23057259519156670e-09 3.31951962753514610e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92821261167626530e-10 1.68620816537661050e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.12946551971526130e-11 -5.21647893265154500e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14164883565350390e-09 -6.83595713618965590e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91720282690554580e-09 -6.76291090095822610e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.60568980810590470e-10 -1.68815435111250680e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.65229423767952810e-10 -8.37076111746431610e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04594737441749690e-09 6.31522610717584400e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07322911043692410e-09 -7.71249724956816120e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.10887470362570940e-10 2.68984203127144140e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.97215703988721580e-10 1.19607373906053080e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.11022702558954360e-09 -2.22530605888498270e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84434403567473330e-09 -1.24280652839861720e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.56699812599409770e-10 3.59364699038854580e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13520104838257920e-09 3.76983102930940780e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45478390583148150e-09 3.17769221769420130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.29127232021279570e-10 1.88905844206780780e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18571948719513120e-09 -1.26799656905494610e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.30405362860440260e-10 -2.37497288081859210e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64059928208609130e-09 5.47529617849781500e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88543941003973520e-09 4.04361735287969600e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.90926123415867660e-09 3.88687409191081870e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37575376774084430e-09 -5.77764858597904480e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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