Unconstraint GRACE monthly solution for Jul 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-GRACE2018-07_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 -4.84169305377356930e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57164204026602210e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.40005228866748620e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86759251692810350e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49949338423124060e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.04978027989087210e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94906226615093470e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80316521756048530e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33376957349836070e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07508742433623020e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64559275157158370e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17371174023692100e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26726635326609790e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.18752370454060270e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.70777675881217820e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91865084690499710e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09496960058106090e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 1 -2.73079123517023090e-09 -1.53225617794177880e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 1 6.37266853885185410e-09 -9.15973873931240550e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 26 1 -1.42370490792230530e-10 -6.64625659718076030e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 27 1 2.86126932964148510e-09 1.58813723875703100e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 28 1 -5.27594400117256900e-09 8.71817471670399780e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 29 1 4.02906205867490530e-09 -1.35294988272487560e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 30 1 2.73220536483657430e-10 1.08630803581815980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 31 1 7.12248879622877390e-09 -1.84762912035769270e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 32 1 -7.55898566384853880e-11 3.57610387246114370e-09 0.00000000000000000e+00 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0.00000000000000000e+00 gfc 10 2 -9.39854193871700670e-08 -5.12786052148639380e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 2 2.01181962154330710e-08 -9.89977218350281390e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 2 1.42827946108850470e-08 3.11054921456159930e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 2 5.53131774181757460e-08 -6.26893173855951240e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 2 -3.59170108040410160e-08 -4.06343659622083510e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 2 -2.05331984464324830e-08 -3.02997911640476070e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 2 -2.45040425708740800e-08 2.80356878086061590e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 2 -2.01012448416991350e-08 6.81636208797492730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 2 1.47236918203179380e-08 1.08248531026848860e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 2 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50573775642530850e-09 8.55034923463984760e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.85218061657051850e-10 -4.41423473249633070e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06090843318807160e-09 -6.65406452724559110e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42604509717713990e-09 9.55441779197400950e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.04634460850294580e-10 2.40580709089365620e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.79343415452063240e-10 -2.81083563309418730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.06155102994878780e-10 -4.34960429845821620e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.24086611278550370e-10 1.59012649022233820e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.37321944921923120e-10 1.86863942356506090e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.94713539380917930e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50447020204095090e-07 -2.17098391028264850e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93712683784042050e-08 -8.59361702812295140e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60593347035667530e-07 -7.42581514735940220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.98122178815837450e-09 -1.54130477237983570e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05766961439554250e-08 -1.48827877779239390e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96267072285673320e-08 2.50731273195385570e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15513031073199310e-08 9.76847868606776640e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65232835294830710e-08 1.96913756674123360e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34121113031662880e-08 1.76535743445685930e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39078976323969810e-08 -2.13408062495506960e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30948450734031910e-09 5.07758679154681530e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04041856219763030e-09 -5.85269909686442750e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56945159389102450e-09 1.09606349794369450e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.75014900107902470e-09 3.88954776580246740e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91443060153354230e-08 2.27180968130463220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13445012061488870e-08 1.01230093169870130e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40798627735134490e-08 -1.74974624002442260e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80921557406498800e-09 -9.73566684564747400e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55137174611145320e-09 2.29118377530199440e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12179670214462210e-09 -1.80360872431618060e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81297505115136340e-09 -7.89420354120894830e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.33002826555224550e-09 -4.70732032709444810e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89789302356814090e-09 6.06204946840433520e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17437009372169710e-09 -2.47891212604264120e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93918578766393480e-09 3.14482853706445750e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.75393809699926650e-11 9.94622051721963160e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11265742783883050e-10 -1.45245053796611680e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.38694143369381770e-10 -4.18075595108234710e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34426373446937860e-09 -5.94208352417025280e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71345784693090100e-09 -1.46783975224549250e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09703830399460720e-09 2.41615129174482870e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23076651455844270e-09 3.31987597136029720e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92279975835325520e-10 1.68609197102796380e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.12471472542385200e-11 -5.22102459573324090e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14197509657000720e-09 -6.83591073851864590e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91844885737430460e-09 -6.75711781089369160e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.59364321338642220e-10 -1.68745278562696700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.65726077480658190e-10 -8.37491161242369930e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04697919441401590e-09 6.30101727149525760e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07209964274364220e-09 -7.70415928371846010e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.09213864049200200e-10 2.67558835023535550e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.94901539973328400e-10 1.19612049769681150e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10918813379258210e-09 -2.22151762614652200e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84267340292586060e-09 -1.24336958118800450e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.57343296271098840e-10 3.60394453217748150e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13446966986976990e-09 3.76680304026083340e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45548650368797510e-09 3.17434590366718470e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.34230632288103070e-10 2.05700627673961860e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18687847033996700e-09 -1.26765284653483120e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.27046864833894560e-10 -2.36993319380253800e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64346273824763440e-09 5.52450919728631380e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88263770811319260e-09 4.00893697296618290e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91097858113047530e-09 3.88559841255977330e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37412297315252700e-09 -5.81465554970761240e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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