Unconstraint GRACE monthly solution for Dec 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-GRACE2018-12_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 -4.84169254516278830e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57111877268332740e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39983879569475480e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86758647358690670e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49971605107925270e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05041684212096340e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94732983622338030e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80254438318092240e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33271879160019710e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07746065554272400e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64343264688313320e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17349317668306510e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26671636926521360e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.19021301371008040e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.71024885572514080e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91867629044811130e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.10242662890244760e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50622975503825850e-09 8.55441833503396490e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.85628059293424300e-10 -4.41315052647872100e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06101514242551020e-09 -6.67177861641769310e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42884090761909890e-09 9.56767570748121920e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.04242723314920290e-10 2.40922314588678630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.79555705789250600e-10 -2.80685438694433860e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.03158160853586490e-10 -4.38171362100585210e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.22165496483232090e-10 1.35123747975228460e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.34061025281083380e-10 1.86883489312292370e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.94767095345945490e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50473079298845550e-07 -2.17121679707346920e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93775342041660160e-08 -8.59719989865017560e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60623434553511210e-07 -7.42775089892250300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -7.00293214448753830e-09 -1.54137448864385090e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05694108278541420e-08 -1.48830649740659650e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96220136774451030e-08 2.50620722694976230e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15625134919246610e-08 9.76817342348726030e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65129063637852460e-08 1.96947511100436540e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34161152186215070e-08 1.76649443125388080e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39166493213825800e-08 -2.13401117518765080e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30532727682724500e-09 5.08347258624803960e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04233764351397160e-09 -5.84851595136352400e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.55736963476231800e-09 1.10472092779788460e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.74998043758022050e-09 3.88990268768484120e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91425486352818600e-08 2.27213806087399950e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13423361386816670e-08 1.01196895382733000e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40730323669143340e-08 -1.74946349762396060e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.80892425829714190e-09 -9.73560055937731100e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.55112053191946970e-09 2.28846128361067280e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12221639133859910e-09 -1.80360250583690920e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81363234085287490e-09 -7.82768511124340960e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32866054124812140e-09 -4.71738301826162340e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89929500531074050e-09 6.06254807542109670e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17509533460801420e-09 -2.47893299076140870e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.94145205496648060e-09 3.14559236211074060e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.60762209880627390e-11 9.94605454063903710e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.11674320198782420e-10 -1.44265215218802110e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.41542509198334110e-10 -4.18142294500033630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34098227164647700e-09 -5.94221095470498160e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71395326538814630e-09 -1.47827453322674200e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09685821144960440e-09 2.41527097906059730e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23294557643382640e-09 3.31957868671983680e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.94388363518714260e-10 1.68634534968740810e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.08845058779939780e-11 -5.22150226384813640e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14258898365693750e-09 -6.83714509321032970e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91826541828965650e-09 -6.74783894258539810e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.58088740238054610e-10 -1.69036328080086830e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.68307011869112740e-10 -8.37707311628489400e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04851507958065450e-09 6.30250907318983750e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07407105334012140e-09 -7.70695407302519930e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.07089906041408770e-10 2.67382857965421100e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.93977432667863940e-10 1.19698654309255690e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10939723659943560e-09 -2.22275181964805520e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.83981746730816730e-09 -1.24446147219301920e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.58041434855483650e-10 3.59017654472651490e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13338763847211800e-09 3.76871730747348970e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45574579045603670e-09 3.17781512574830330e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.32752168868715290e-10 1.90654247300231570e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18612728291722390e-09 -1.26912510366744760e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.27426380354671310e-10 -2.37454312441938380e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64192098059604280e-09 5.67347527360365770e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88819836209392470e-09 4.02444442925094990e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91128281184590640e-09 3.88244334329182780e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37741398095379830e-09 -5.77104988302325120e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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