Unconstraint GRACE monthly solution for Jun 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-GRACE2018-06_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 -4.84169353437370740e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57247564183460010e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.40027322208832610e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86090788113301320e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.50007467100437360e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05205286092730640e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94997881341727170e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.79979384408526910e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33298497676290640e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07524069272427190e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64560112946603950e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17242463630606250e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26622541605442920e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.20134254186320560e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.69997927642473790e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91789916881853350e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09446547432932170e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.51009706311505930e-09 8.54625854973326130e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.84841544768826150e-10 -4.41405040847597770e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06143034197491600e-09 -6.65867980362401990e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.43003965990623510e-09 9.57501086415058940e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.01329523179055370e-10 2.40763259561405670e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.81059813428623180e-10 -2.81181949738684230e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.02939196235809260e-10 -4.36730826253873770e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.30459060523353400e-10 1.28584866453688180e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34438562741765930e-10 1.87120311960937400e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.98238553544923980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50439026143439870e-07 -2.17106248837048820e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93459095911137920e-08 -8.59467892202553780e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60587341676807220e-07 -7.42507219817587400e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.99833809752894710e-09 -1.54125703490224470e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05756067129021980e-08 -1.48836697149065900e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96404491428470480e-08 2.50636767892947390e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15473928290517150e-08 9.76815392665860270e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65229330008674190e-08 1.96979906614226630e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34139584744369020e-08 1.76541094102485350e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.38939198703443030e-08 -2.13405190356726480e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.31015165957750270e-09 5.06945988409346480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04522875307513650e-09 -5.85800791754786190e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56905799584923760e-09 1.09521907854109010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.73904691092690160e-09 3.89002707385177280e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91459952219433410e-08 2.27205468793671690e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13415775502686040e-08 1.01210672951937250e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40756332092636940e-08 -1.74974867625918890e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80655906364544320e-09 -9.73580449716894540e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55369601854403390e-09 2.29140375980177650e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12153939792265780e-09 -1.80358284565724220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81304899033764000e-09 -7.87275307616396980e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.33165646834639270e-09 -4.72874836605334410e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89727578856056710e-09 6.06173236117007060e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17348167019259370e-09 -2.47898459594897380e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93766289107789540e-09 3.14374927794675010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.77301272819356750e-11 9.94551715162569540e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.12129621710671680e-10 -1.44963055170837580e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.37803237703853210e-10 -4.18023468725738730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34674564082124680e-09 -5.94469556497626570e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71263797433474510e-09 -1.45610862161646980e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09686818989502160e-09 2.41535522538738600e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23025778433936700e-09 3.31941382995479220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.91243917854758720e-10 1.68588702872077910e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.14252708984561660e-11 -5.22123418241968320e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14102594679908100e-09 -6.83595394442275480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91770526367259260e-09 -6.76324205413459520e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.59171914805803250e-10 -1.68927874313183850e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.65985161102253430e-10 -8.39103534157160300e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04894331464935210e-09 6.28924521835107330e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07355590901883120e-09 -7.70490069967806750e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.09058214450380640e-10 2.68347345382855290e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.95282192202608020e-10 1.19854222429799490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10795288316452460e-09 -2.22493687377128630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84484427383900820e-09 -1.24868660898287240e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.56408473028128920e-10 3.60120567027573150e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13077265027803740e-09 3.76811889648542300e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45387198989359680e-09 3.17897471906128170e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.38920037596117470e-10 1.98142527815451190e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18549461049882640e-09 -1.26874044278953700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.31091543560371620e-10 -2.37543918462274630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64196061471846210e-09 5.30157614119505920e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88648820810373200e-09 4.03943440074835210e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91365454456320330e-09 3.88191331256078650e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37498747539201360e-09 -5.83045693123852860e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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