Unconstraint GRACE monthly solution for Dec 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-GRACE2018-12_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 -4.84169196347405460e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57133608265593810e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39959649646409780e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86478940504689820e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49987659938919680e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.04976701193808120e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94686886482755260e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80281980615313370e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33526190648558590e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07624225480716000e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64493831984801320e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17313624596710840e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26524447488349380e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.18986482289564220e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.70989451989472930e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91756051900632900e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.10222708060714620e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50784050500389780e-09 8.56257534080740510e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.86566578114473060e-10 -4.41461793882264830e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06098533098945250e-09 -6.65070663958503020e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42820972536199260e-09 9.56031433131433470e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.02743579714402050e-10 2.40707156470193570e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.81460819843979310e-10 -2.80827156674369930e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.01610688786111460e-10 -4.37718565081734320e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.26233399009585690e-10 1.05562763877154340e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.31126725798793770e-10 1.86803292643153650e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.97555635744820270e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50499017559028680e-07 -2.17081168868794240e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93630289413245570e-08 -8.59394768428256340e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60618470788615570e-07 -7.42436448604092310e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.99100010638985320e-09 -1.54106785366602300e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05536278555144540e-08 -1.48816891971632290e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96336044739606160e-08 2.50737538562628240e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15515287471568920e-08 9.76817419721711740e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65272443845317540e-08 1.96952717782495500e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34203929658346560e-08 1.76516258396864300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39023085859332620e-08 -2.13448603625157300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30439655434549530e-09 5.06836849663757400e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.03579214678503960e-09 -5.85565101819082590e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56250368588121500e-09 1.09367636346461150e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74689367705822950e-09 3.88976303959464540e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91408272981504200e-08 2.27214601242585690e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13462411799686970e-08 1.01239094762189950e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40752941627197540e-08 -1.74958914445206360e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.81023646487559660e-09 -9.73652542052774990e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55248074705539400e-09 2.29183213478740010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12485423359052280e-09 -1.80372394197496200e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81211906854175560e-09 -7.72626446368581550e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32964458154358800e-09 -4.72195597044276080e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89707576919397430e-09 6.06202141632848670e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17611776859577180e-09 -2.47933769048304090e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93969515215107210e-09 3.14423975993969200e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.55155078793864190e-11 9.94664138239280170e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.10902536415113490e-10 -1.44981290076301290e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.39055819445788860e-10 -4.17974391494677180e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34431935327580850e-09 -5.94336350531304550e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71159935668175010e-09 -1.46189159878136310e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09603010271498150e-09 2.41444673657627220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23096898217400680e-09 3.32050060226872320e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92499649090459080e-10 1.68632992682379130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.08545095682333890e-11 -5.22241878154725020e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14168884979294420e-09 -6.83589378284046330e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91555781832804650e-09 -6.76316439690719820e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.58255799321489010e-10 -1.69077649655748910e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.66178263842479500e-10 -8.37654644923520750e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04550405954767230e-09 6.31834512604323260e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07205315807031390e-09 -7.70112386004580470e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.08528026954986380e-10 2.67615650314065340e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.96193195720237170e-10 1.19369464150774180e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10732384453915970e-09 -2.22642917519471360e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84406497296887590e-09 -1.24440574974806220e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.59047874532518520e-10 3.62674468241099130e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13603490373748200e-09 3.76768063579901630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45637269310157040e-09 3.17708248054980690e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.29204760875777230e-10 2.08936842368478190e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18398606794936370e-09 -1.26827989661061470e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.28825001097797420e-10 -2.37647285459912820e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.63684726023302350e-09 5.47903188467507450e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.89274803232043770e-09 4.09112810498138970e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91204228518496060e-09 3.88616556185295040e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37087457262763310e-09 -5.83365823474265710e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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