Unconstraint GRACE monthly solution for Aug 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-GRACE2018-08_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 -4.84169129355402210e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57092520249780370e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39995253689792770e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86910955340769480e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49963311654634830e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.04982323634958400e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94847556808326630e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80364235108098390e-08 0.00000000000000000e+00 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.51094537097775090e-09 8.55790455545709720e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.84586627175705150e-10 -4.41492001761788860e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06603527948143040e-09 -6.66784587803839740e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42832381608614300e-09 9.58058059261172760e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.09005478248409120e-10 2.40846830263978560e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.82414794875738090e-10 -2.81327484267077740e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.05874638484175010e-10 -4.36923639404028990e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.24708785003530100e-10 1.55430637132317880e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.31087397888559350e-10 1.87138914982889050e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.96906598875941980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50454751105061250e-07 -2.17082574333776430e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93494623136587770e-08 -8.59204888009837110e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60587859584918730e-07 -7.42436737568765910e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.98440958868983520e-09 -1.54126450367033070e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05710399921509580e-08 -1.48829379698298340e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96387785389891310e-08 2.50808540155842130e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15441816460554500e-08 9.76872781782959310e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65247822444864730e-08 1.96930819584073370e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34119578126368370e-08 1.76489134840379110e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39027475624626380e-08 -2.13394145235387820e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.31361680087857810e-09 5.07136458741542630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04209529572658930e-09 -5.85804039708972290e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.57059921029110130e-09 1.09326773977186730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74404745694131050e-09 3.88977798613354570e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91429634763911680e-08 2.27186653327859920e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13468028592888490e-08 1.01235400862559380e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40769524905743440e-08 -1.74954228120561390e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80766401743990090e-09 -9.73476541262445750e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55280789857303640e-09 2.29216563709067670e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12297023687427800e-09 -1.80367639598741130e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81271928406558930e-09 -7.81683489957854340e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.33148103965038770e-09 -4.72285411340428350e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89653329309566410e-09 6.06305063110572480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17385432930915660e-09 -2.47862140310721040e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93857527257507250e-09 3.14384891549057630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.70433523196705700e-11 9.94536410697080580e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11741637238837820e-10 -1.44143912645476340e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.37859740635801420e-10 -4.17921553484521800e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34529759959945840e-09 -5.94333827335341480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71228375885568620e-09 -1.46379112957344270e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09623145984116620e-09 2.41520386699186520e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23004130081612000e-09 3.32010928236683150e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92895869601603480e-10 1.68665636693117320e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.09637381219205810e-11 -5.22830788038207740e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14206768679703350e-09 -6.83804274637174780e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91715039186206380e-09 -6.76914516325193220e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.59265236031387340e-10 -1.68968387493378430e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.67309857382028690e-10 -8.37991621995302010e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04782460869876270e-09 6.33103738513947310e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07537941645760630e-09 -7.70853209922259820e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.08681304385672280e-10 2.64451583774965550e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.96770801041593520e-10 1.19625094962725170e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10808481340025510e-09 -2.22325967659071040e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84507775736100040e-09 -1.24194449699104590e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.58134480769482980e-10 3.59990581762808810e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13086536117281360e-09 3.76436454458295650e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45458292967795460e-09 3.17801726537419450e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.32957648375548520e-10 2.33448867687971970e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18200474502624190e-09 -1.26595531653979630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.32012260088574160e-10 -2.37576357438570220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64149274087497900e-09 4.66200736035823900e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88294390487164500e-09 4.03568111644845020e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91381699372710330e-09 3.89113605429555250e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37250509699171800e-09 -5.81162150028861310e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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