Unconstraint GRACE monthly solution for Feb 2004 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-GRACE2018-02_2004_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 -4.84169221139070220e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57235113934268570e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39994292621055320e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86171976908212630e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49978755699734640e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05416049201927680e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94638519139208770e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.79972435344418110e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33313571850609900e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07654580985170710e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64274411659450610e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17256073820844030e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26501162004744330e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.20133771950888090e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.71171883811574140e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91880537548276170e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.10205405173048050e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 0 1.46390956388239770e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 0 2.62218440143697800e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 0 2.81122561118510240e-11 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 0 -9.87499624132319010e-10 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 0 -1.19965933054881270e-11 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 1 1 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 2 1 -2.54467663880844990e-10 1.37954004117600660e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 1 2.03045629020558290e-06 2.48200030632063410e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 1 -5.36122229657859780e-07 -4.73556975933159630e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 1 -6.29271550036556070e-08 -9.43745256888989440e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 1 -7.59401114145368350e-08 2.65146109071013880e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 1 2.80890861484916430e-07 9.51095360344042750e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 1 2.31750811729284860e-08 5.88846645768364910e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 1 1.42152156892867410e-07 2.14172832163471300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 1 8.37528567191008920e-08 -1.31084052581185450e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 1 1.56148354435749200e-08 -2.71269142926968620e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 1 -5.35750689171157350e-08 -4.31796262497318420e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 1 -5.14449460247497580e-08 3.86980096063025970e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 1 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 1 -2.73026392834346530e-09 -1.53125984762103490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 1 6.37049977088596450e-09 -9.15638215152482270e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 26 1 -1.44124736127663960e-10 -6.65107905914689520e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 27 1 2.85981080664598650e-09 1.58629520659176460e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 28 1 -5.27807198922028890e-09 8.72023777836355690e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 29 1 4.02800092887381630e-09 -1.35302941140651840e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 30 1 2.73909428477235130e-10 1.08556481125106340e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 31 1 7.12088116538778190e-09 -1.84785574293607440e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 32 1 -7.52566628546508470e-11 3.58053248379361630e-09 0.00000000000000000e+00 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1.22820708469006660e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 1 -7.06252439938277210e-11 -9.57314700255285640e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 2 2 2.43935245768569490e-06 -1.40026765894050640e-06 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 2 9.04797381911843600e-07 -6.18946941847260310e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 2 3.50501844668687240e-07 6.62504953159442180e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 2 6.52079588404302420e-07 -3.23395348611179540e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 2 4.86722343566360320e-08 -3.73791946156361680e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 2 3.30422524517690670e-07 9.30150209752147570e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 2 8.00222465183647800e-08 6.52774849772254100e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 2 2.14119291333442550e-08 -3.17105021285853770e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 2 -9.39977228319662860e-08 -5.12598222544256420e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 2 2.01004677823936140e-08 -9.90014864624369000e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 2 1.42627049389296300e-08 3.10802529132440490e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 2 5.53070187367141580e-08 -6.27021315167155350e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 2 -3.59142311023809820e-08 -4.04552677973457050e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 2 -2.05358160002320540e-08 -3.03015923423770280e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 2 -2.45164656214515480e-08 2.80242744789924410e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 2 -2.01002090889588100e-08 6.81394823832140410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 2 1.47311654772867420e-08 1.08383780792625150e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 2 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50988652862325040e-09 8.55501657354926880e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.84383835200865950e-10 -4.41502365919022090e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06182188745317530e-09 -6.67659368059555290e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42844496544277450e-09 9.59246510110129110e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 9.96999879319330860e-11 2.40609976407682370e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.83011623205868800e-10 -2.81264049850126420e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.02134809794611130e-10 -4.31216582233294130e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.20356040310243260e-10 1.45006173254457810e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.33516571746405430e-10 1.86567943471880470e-09 0.00000000000000000e+00 0.00000000000000000e+00 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0.00000000000000000e+00 gfc 16 3 -3.39132474951277660e-08 -2.13439320957747970e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30079186938908410e-09 5.08122165345183180e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04593389186225890e-09 -5.84987174412191060e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.55309904373360970e-09 1.10604632159977280e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.75103283955948720e-09 3.89018686104549220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91435055870987130e-08 2.27222194345516290e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13416285159940420e-08 1.01191381824978250e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40754754486766590e-08 -1.74940420540108090e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80974777407103400e-09 -9.73794113628031070e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55096998990711450e-09 2.28936779560097910e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12248723967405310e-09 -1.80384950376693630e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81473793308311120e-09 -7.97029456799700130e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32950821790672850e-09 -4.72111403384827070e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89878743070471170e-09 6.06257033042669790e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17684408348181700e-09 -2.47850618544303490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93994425692477610e-09 3.14585344569269240e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.75800903337649230e-11 9.94571843167439980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.12068117817315700e-10 -1.44289018927078740e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.41305877381020190e-10 -4.18338746599277570e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34162044281967240e-09 -5.94278621419606160e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71482180120224710e-09 -1.47508253636011170e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09747892375073710e-09 2.41600542837996710e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23236184874245580e-09 3.31929805291414210e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.93491961471356470e-10 1.68623720270582660e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.14148552340424460e-11 -5.23817482361960270e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14266926226075530e-09 -6.83577920803380470e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91707999993789790e-09 -6.74745856396815560e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.60623113971638860e-10 -1.68906452698146930e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.67366405219870210e-10 -8.39647862276156070e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04573045382290270e-09 6.31380556855656490e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07026765638878470e-09 -7.69786576346594440e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.08156370048633110e-10 2.67002611108776010e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.92628559285987460e-10 1.19241128816152840e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10638857621232230e-09 -2.22252912583961800e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.83884646811100880e-09 -1.24357458903658030e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.55560864637230540e-10 3.57014812864877820e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13701079145113070e-09 3.76565831023295530e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45297460218188190e-09 3.18344936912474500e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.32302599910663230e-10 1.96708675747632960e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18397118945715330e-09 -1.27182240742171880e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.29870314926478260e-10 -2.37415909721072100e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64575375242752990e-09 5.79851967340650370e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88834984399420450e-09 4.03684141276401500e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91357314926593660e-09 3.88099541017715410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37922499665734690e-09 -5.89819019667114210e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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