Unconstraint GRACE monthly solution for Jan 2006 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-GRACE2018-01_2006_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 -4.84169268854468420e-04 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 0 9.57157803097854810e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 0 5.39995198861323410e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 0 6.86369093287523290e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 0 -1.49974307373222010e-07 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 0 9.05072739817821530e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 0 4.94712883640496450e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 0 2.80155635482014610e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 0 5.33381264854979290e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 0 -5.07742354391712380e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 0 3.64264574603589870e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 0 4.17261376751283320e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 0 -2.26643893525008660e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 0 2.18900539504314070e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 0 -4.71147614308518490e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 0 1.91864820515359880e-08 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 0 6.09697077475427950e-09 0.00000000000000000e+00 0.00000000000000000e+00 0.00000000000000000e+00 gfc 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 1 -2.72991145500501740e-09 -1.53290097735763690e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 1 6.36993585777535500e-09 -9.15541298107583230e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 26 1 -1.42039946087104330e-10 -6.64843677081760280e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 27 1 2.86195035705278150e-09 1.58911872102172960e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 28 1 -5.27828233565848730e-09 8.72024617031893030e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 29 1 4.02737756047010880e-09 -1.35296089335919240e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 30 1 2.73382309302418420e-10 1.08542440315691980e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 31 1 7.12157554946864020e-09 -1.84770455440269760e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 32 1 -7.72697161485490750e-11 3.57942196545812900e-09 0.00000000000000000e+00 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1.23634517508490460e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 1 -8.18191890350053260e-11 -9.66726427638883510e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 2 2 2.43924544874324980e-06 -1.40027723505157060e-06 0.00000000000000000e+00 0.00000000000000000e+00 gfc 3 2 9.04832414244586120e-07 -6.18999774280315970e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 2 3.50486103550186240e-07 6.62494538825415070e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 5 2 6.52057062746737540e-07 -3.23380717230182930e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 6 2 4.86214840894071110e-08 -3.73814191236972180e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 2 3.30399034936512800e-07 9.30093659710350340e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 2 8.00117688025221810e-08 6.52828421286092600e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 2 2.14129603314059070e-08 -3.17033771458824270e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 2 -9.39911877592441910e-08 -5.12684073043822100e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 2 2.01076986355537380e-08 -9.89918821731545110e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 2 1.42597266779825590e-08 3.10907731318902300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 2 5.53122416553189250e-08 -6.26914414725273220e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 2 -3.59170091690152700e-08 -4.05153296340629700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 2 -2.05308856815280030e-08 -3.03073130020322560e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 2 -2.45164216000083290e-08 2.80198193033727490e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 2 -2.01012044997616730e-08 6.81153522142326480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 2 1.47249244789501940e-08 1.08313208469622950e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 2 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 2 1.50730156094911970e-09 8.55637221528013600e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 2 5.85968765580568780e-10 -4.41441984353247630e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 2 -4.06088395997028270e-09 -6.64119313145189780e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 2 -2.42959659045456910e-09 9.55635489198726470e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 2 1.02676718031867450e-10 2.40490817638484010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 2 4.78680126821738720e-10 -2.80785826378698130e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 2 -2.03217069462155640e-10 -4.34948516804713180e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 2 2.25814981158520290e-10 1.36030110983855680e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 2 7.36032600659404280e-10 1.86921871897050710e-09 0.00000000000000000e+00 0.00000000000000000e+00 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8.95854616325200860e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 7 3 2.50473109075021970e-07 -2.17109880314758220e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 8 3 -1.93707136829328630e-08 -8.59591105251665660e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 9 3 -1.60618446545846390e-07 -7.42603292202111300e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 10 3 -7.00679488159545830e-09 -1.54136288018692070e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 11 3 -3.05680849053066570e-08 -1.48838584403587240e-07 0.00000000000000000e+00 0.00000000000000000e+00 gfc 12 3 3.96202671018823230e-08 2.50613122883478150e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 13 3 -2.15626034288445910e-08 9.76856031892303980e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 14 3 3.65165618736988330e-08 1.96970838712776750e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 15 3 5.34153518224983150e-08 1.76647098447290170e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 16 3 -3.39183819309987000e-08 -2.13407171561071940e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 17 3 6.30181306413959530e-09 5.08139614246647720e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 18 3 -5.04226239744072950e-09 -5.85353865992674560e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 19 3 -7.55942577921943640e-09 1.09936922243803190e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 20 3 -4.75009808875095430e-09 3.88966924826679820e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 21 3 1.91443195123523680e-08 2.27245488627333460e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 22 3 1.13436568885944470e-08 1.01220068263619900e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 23 3 -2.40751238195759660e-08 -1.74966082236417210e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 24 3 -4.81010313761399560e-09 -9.73712120122678370e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 25 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 35 3 1.54967538598012300e-09 2.28852842226826380e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 36 3 -2.12226920864370910e-09 -1.80371505540209540e-08 0.00000000000000000e+00 0.00000000000000000e+00 gfc 37 3 -5.81399096288296210e-09 -7.86972114614380610e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 38 3 -1.32908323839685540e-09 -4.71604729526738420e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 39 3 -4.89877848114195400e-09 6.06297420208557160e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 40 3 -1.17514292077533060e-09 -2.47870200496993430e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 41 3 3.93970127928699540e-09 3.14608144695910580e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 42 3 -3.67051090330981220e-11 9.94582370065990010e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 43 3 5.12061525381337970e-10 -1.44614954742027570e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 44 3 -4.40094322089437590e-10 -4.18189255748777570e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 45 3 -1.34236315531730010e-09 -5.94186417114231300e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 46 3 -1.71334230207540350e-09 -1.47219801524239820e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 47 3 1.09701143198368590e-09 2.41519309265717270e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 48 3 -1.23252770803645070e-09 3.31905208172582070e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 49 3 7.94031170042994410e-10 1.68657521693748660e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 50 3 -9.06945679563062900e-11 -5.22882422720117980e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 51 3 -5.14271175487951040e-09 -6.83719587849696340e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 52 3 1.91765165120736270e-09 -6.75584737017041620e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 53 3 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0.00000000000000000e+00 0.00000000000000000e+00 gfc 63 3 -4.60481052469138390e-10 -1.69019786849083940e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 64 3 -7.66322068824838680e-10 -8.37172150491956860e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 65 3 -2.04610431841418350e-09 6.29008168880629410e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 66 3 2.07287564016875890e-09 -7.70701309550380370e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 67 3 -3.09407074271934770e-10 2.67712221671580860e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 68 3 -8.94394747507650240e-10 1.19682586799225410e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 69 3 2.10993909071002960e-09 -2.22382297375588770e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 70 3 2.83985597556256610e-09 -1.24583523519121120e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 71 3 -1.58744247026410880e-10 3.58631143718363120e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 72 3 2.13560739823517770e-09 3.76687318123069290e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 73 3 2.45637482256518160e-09 3.17811614257567200e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 74 3 6.31023060748158750e-10 2.08289445598400470e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 75 3 -1.18768105845695840e-09 -1.27051158134492680e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 76 3 -7.30385365595320990e-10 -2.37439501385410480e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 77 3 -3.64056363841561800e-09 5.37369279154776350e-11 0.00000000000000000e+00 0.00000000000000000e+00 gfc 78 3 -2.88480003648408040e-09 4.03896204765333740e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 79 3 -1.91280996815672500e-09 3.88650317480562700e-09 0.00000000000000000e+00 0.00000000000000000e+00 gfc 80 3 2.37709130846607330e-09 -5.81463731629788320e-10 0.00000000000000000e+00 0.00000000000000000e+00 gfc 4 4 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