Unconstraint GRACE monthly solution for Aug 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-GRACE2018-08_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 -4.84169296779508580e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57120473960667660e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39993394863554840e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.87191565670532390e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49928836942109860e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.04807876667377850e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94861551308478200e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80368263224369510e-08 0.00000000000000000e+00 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50824554493158280e-09 8.55435691077781620e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.84618479990551060e-10 -4.41387553843455330e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06237174660085150e-09 -6.66554857654735830e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42858860061752850e-09 9.55700337854235360e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.01527801420868100e-10 2.40883704045102950e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.81015249367221410e-10 -2.81278157163940960e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.03369296059891990e-10 -4.38878140455086670e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.26028779867298500e-10 1.62426665097707880e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34072459193924310e-10 1.87144987567606890e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 2 -1.39251083012886540e-09 -2.76152869210807660e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 2 -1.65999756054261840e-09 1.94029072701825490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 2 1.02589870229644830e-09 2.30044414418257740e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 2 -2.48487201563493340e-10 6.96368560940698990e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 2 -2.86056975318571150e-10 -5.56341637972121780e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 2 -2.14831146260041920e-09 -1.09819386471751810e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 3 7.21301310218393860e-07 1.41437157653535020e-06 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 3 9.90836368141433010e-07 -2.00984149720382230e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 3 -4.51838166108338660e-07 -2.14968076323882060e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 3 5.72454713176941550e-08 8.94625024990573350e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50458988313049890e-07 -2.17083735559976420e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93705897671761330e-08 -8.59249516159323070e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60597313112046570e-07 -7.42568732003358420e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -6.97765299066066100e-09 -1.54135397646640790e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05772576408521140e-08 -1.48823745259321400e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96301313577558630e-08 2.50764363205020460e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15479112004265840e-08 9.76864038489164690e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65251021972499100e-08 1.96866206355729160e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34119726195001440e-08 1.76521687588646980e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39132856943078800e-08 -2.13421759502454000e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.31218849843658260e-09 5.07961380567657740e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.03779400990781040e-09 -5.85141924402095350e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.56910305938132370e-09 1.09626257159423360e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.75115281268541080e-09 3.88955906883734270e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91446891370109880e-08 2.27197089040549540e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13465727211925770e-08 1.01218645948959690e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40789380072758610e-08 -1.74982824452470770e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.81094403430634850e-09 -9.73709150047991280e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55088895152741930e-09 2.29217460570845920e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12157458702421580e-09 -1.80364450081868480e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81343031686590530e-09 -7.86506942470201010e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32986494878839810e-09 -4.71992981281026370e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89793190564557060e-09 6.06207160796102080e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17435829896799680e-09 -2.47910047949576010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.94021284528204720e-09 3.14493109229424900e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.74293726491570560e-11 9.94608558219410120e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11140989253244730e-10 -1.45188018581377820e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.38948044778389420e-10 -4.18102262378443130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34328639884245180e-09 -5.94191887385347940e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71360960379065870e-09 -1.46230590247882240e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09630158311208680e-09 2.41664683813402600e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23040897205812260e-09 3.31932215120078580e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.92834252255951950e-10 1.68620453242103410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.13108738326432610e-11 -5.23210312597185440e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14249797983212540e-09 -6.83622675082529740e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91796180704491820e-09 -6.75410587476370060e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.60192540426537320e-10 -1.68933508657959900e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.66195671216280530e-10 -8.38008287646485470e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04601457010932920e-09 6.31357394559647770e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07340592595220700e-09 -7.70318644475536110e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.11550628621545680e-10 2.68071097221536900e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.95509111575821360e-10 1.19589950278892510e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10879174639039950e-09 -2.22210691768303670e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.84279634057996150e-09 -1.24438883899663270e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.56712513111583270e-10 3.59470701053401910e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13457167088721720e-09 3.76683563918123910e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45334117137946610e-09 3.17721114702844830e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.34073695195690550e-10 1.80866092577038930e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18453539097351160e-09 -1.26777201740277650e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.29001940283690400e-10 -2.37440502841155870e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64100260381807060e-09 5.63209092431885670e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88546876347516800e-09 4.03223726333270520e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91598307233537870e-09 3.88678091007765550e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37449805454120110e-09 -5.79312431643209700e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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