IGG-SLR-HYBRID_S5+4E: monthly gravity field solution from SLR using a hybrid parametrization 
including spherical harmonic coefficients and empirical orthogonal functions from GRACE

Satellites used:           Lageos 1, Lageos 2, Ajisai, Starlette, Stella (from November 1993)
Time covered in this file: April 1993       

SH degrees solved for:     2-5 
EOFs used:                 4 
SH degrees used in EOFs:   6-60

When using this data, please cite the following publication which provides all informations 
about the approach and the models used: 

Anno Löcher and Jürgen Kusche: A hybrid approach for recovering high-resolution temporal 
gravity fields from satellite laser ranging. Journal of Geodesy. DOI: 10.1007/s00190-020-01460-x

begin_of_head ================================================================================

modelname              IGG-SLR-HYBRID_S5+4E_1993-04
product_type           gravity_field
earth_gravity_constant 3.9860044150e+14
radius                 6.3781363000e+06
max_degree             60
norm                   fully_normalized
tide_system            zero_tide
errors                 calibrated

key     L    M    C                   S                   sigma C             sigma S
end_of_head ==================================================================================
gfc     0    0  1.000000000000e+00  0.000000000000e+00  0.000000000000e+00  0.000000000000e+00
gfc     1    0  0.000000000000e+00  0.000000000000e+00  0.000000000000e+00  0.000000000000e+00
gfc     1    1  0.000000000000e+00  0.000000000000e+00  0.000000000000e+00  0.000000000000e+00
gfc     2    0 -4.841693915539e-04  0.000000000000e+00  2.869170104831e-11  0.000000000000e+00
gfc     2    1 -2.315915712283e-10  1.308447928482e-09  7.333231159984e-11  5.719945056284e-11
gfc     2    2  2.439298426756e-06 -1.400307274848e-06  1.014695459386e-10  1.109642009673e-10
gfc     3    0  9.572761522813e-07  0.000000000000e+00  9.016628861908e-11  0.000000000000e+00
gfc     3    1  2.030337461582e-06  2.485430097243e-07  1.737117474250e-10  1.635342559720e-10
gfc     3    2  9.048130402662e-07 -6.188452493092e-07  2.354643353329e-10  2.416205629683e-10
gfc     3    3  7.212405595760e-07  1.414652154461e-06  4.065381457628e-10  3.570836001222e-10
gfc     4    0  5.400332652172e-07  0.000000000000e+00  8.774848471617e-11  0.000000000000e+00
gfc     4    1 -5.361560547149e-07 -4.734583890445e-07  1.102084392896e-10  1.220099659309e-10
gfc     4    2  3.505871899232e-07  6.623857056167e-07  1.380085952838e-10  1.566481774673e-10
gfc     4    3  9.908083810978e-07 -2.009232491369e-07  1.328171178361e-10  1.418069158326e-10
gfc     4    4 -1.885297684037e-07  3.087278442265e-07  2.296468325654e-10  2.505327921254e-10
gfc     5    0  6.862114251239e-08  0.000000000000e+00  7.528943449766e-11  0.000000000000e+00
gfc     5    1 -6.305762772110e-08 -9.415129882141e-08  2.032312704396e-10  2.280002589505e-10
gfc     5    2  6.521545744617e-07 -3.234781566370e-07  1.583683054985e-10  1.900790351430e-10
gfc     5    3 -4.520555328437e-07 -2.146973872268e-07  3.031703632413e-10  2.987378981180e-10
gfc     5    4 -2.954025184868e-07  4.990271785225e-08  2.013248316157e-10  2.660256338211e-10
gfc     5    5  1.746295613071e-07 -6.692012288636e-07  3.591709741117e-10  3.617987285956e-10
gfc     6    0 -1.499447074073e-07  0.000000000000e+00  9.271424649733e-11  0.000000000000e+00
gfc     6    1 -7.593152049889e-08  2.650968040818e-08  9.955242316852e-11  2.315254215082e-11
gfc     6    2  4.858813602916e-08 -3.738673194563e-07  5.294930670915e-11  1.021434548041e-10
gfc     6    3  5.724554959412e-08  8.967704218205e-09  3.446376780319e-11  8.168493046332e-11
gfc     6    4 -8.598268579429e-08 -4.714739952689e-07  5.491021915231e-11  4.826847380745e-11
gfc     6    5 -2.671518496354e-07 -5.365150372379e-07  3.121979294118e-11  6.499324018511e-11
gfc     6    6  9.534903541323e-09 -2.373446755622e-07  6.757316490792e-11  4.903900655224e-11
gfc     7    0  9.054614887188e-08  0.000000000000e+00  5.770080397401e-11  0.000000000000e+00
gfc     7    1  2.808770170420e-07  9.512760437918e-08  1.881722470643e-11  1.271066320009e-10
gfc     7    2  3.304197534777e-07  9.299344366359e-08  4.574167434839e-11  7.014859149255e-11
gfc     7    3  2.504267327377e-07 -2.171224627770e-07  5.302776489953e-11  7.860782924871e-11
gfc     7    4 -2.750354737916e-07 -1.240426064069e-07  5.727540527932e-11  5.881373556522e-11
gfc     7    5  1.603777952667e-09  1.789843882253e-08  5.500681434022e-11  3.161780721066e-11
gfc     7    6 -3.587778542196e-07  1.517837455917e-07  3.178258883348e-11  2.147151543089e-11
gfc     7    7  1.563659796463e-09  2.409492655351e-08  4.739592046945e-11  6.070043921738e-11
gfc     8    0  4.950117486947e-08  0.000000000000e+00  3.824032674742e-11  0.000000000000e+00
gfc     8    1  2.319869329831e-08  5.890491479211e-08  7.977413361013e-11  4.160541071513e-11
gfc     8    2  8.000823587455e-08  6.527559292617e-08  5.465247133762e-11  6.565930740528e-11
gfc     8    3 -1.936168813659e-08 -8.596319511250e-08  3.882375496197e-11  9.296328156616e-11
gfc     8    4 -2.443854075039e-07  6.982335952305e-08  6.285372526890e-11  1.870888669205e-11
gfc     8    5 -2.573678953239e-08  8.923118410819e-08  5.163766683028e-11  3.565826877173e-11
gfc     8    6 -6.599549029705e-08  3.089360891644e-07  4.847863692177e-11  9.791769499202e-12
gfc     8    7  6.725435436548e-08  7.485205635357e-08  1.845644337070e-11  5.297716764615e-11
gfc     8    8 -1.240191636639e-07  1.205136114282e-07  3.768895909296e-11  4.264915867125e-11
gfc     9    0  2.800221518495e-08  0.000000000000e+00  5.201447049280e-11  0.000000000000e+00
gfc     9    1  1.421524622001e-07  2.135944629492e-08  2.630993400000e-11  7.008062797048e-11
gfc     9    2  2.142383676689e-08 -3.173811117267e-08  1.413931637222e-11  6.543513681724e-11
gfc     9    3 -1.605907816522e-07 -7.425818220434e-08  6.114015567561e-11  5.720699691838e-11
gfc     9    4 -9.364329971993e-09  1.988807861616e-08  5.217656089619e-11  4.573543721911e-11
gfc     9    5 -1.632261461743e-08 -5.402703290032e-08  1.804609105026e-11  2.488963000801e-11
gfc     9    6  6.279439589479e-08  2.229818389387e-07  1.111997811595e-11  1.908175597376e-11
gfc     9    7 -1.179970189822e-07 -9.690548974928e-08  2.254611929412e-11  2.943462657969e-11
gfc     9    8  1.881192069505e-07 -3.003478472249e-09  2.245975711606e-11  3.696004400281e-11
gfc     9    9 -4.757596324244e-08  9.687315072947e-08  2.719015718604e-11  1.209062041123e-11
gfc    10    0  5.331544049511e-08  0.000000000000e+00  4.501895428994e-11  0.000000000000e+00
gfc    10    1  8.375442743119e-08 -1.310753078146e-07  2.980968863103e-11  1.579419495356e-11
gfc    10    2 -9.404005382463e-08 -5.130588961403e-08  6.140303612595e-11  4.584131685774e-11
gfc    10    3 -7.014957237972e-09 -1.541577291503e-07  5.066506447525e-11  5.695370676415e-11
gfc    10    4 -8.447673006186e-08 -7.901726806915e-08  5.756176736509e-11  1.571413790061e-11
gfc    10    5 -4.929468301367e-08 -5.062809578551e-08  1.002668705093e-11  1.942251340595e-11
gfc    10    6 -3.755506947577e-08 -7.977438512928e-08  4.220116020082e-11  4.738823618028e-12
gfc    10    7  8.284226177028e-09 -3.054425604462e-09  3.170529718971e-11  2.093931517904e-11
gfc    10    8  4.058953709962e-08 -9.168697249367e-08  1.175325811880e-11  3.630609599951e-11
gfc    10    9  1.253922008512e-07 -3.791587408952e-08  2.425189068851e-11  2.674485878708e-11
gfc    10   10  1.004090541507e-07 -2.385424211736e-08  1.614895099043e-11  2.424415592960e-11
gfc    11    0 -5.075994654060e-08  0.000000000000e+00  1.672536996345e-11  0.000000000000e+00
gfc    11    1  1.561752304863e-08 -2.713063381666e-08  1.658336329477e-11  2.523461709948e-11
gfc    11    2  2.011064320682e-08 -9.899708590187e-08  2.183549456248e-11  4.490478565946e-11
gfc    11    3 -3.058910123048e-08 -1.488476783656e-07  3.593613455504e-11  2.475569527145e-11
gfc    11    4 -3.797068960579e-08 -6.374663867976e-08  4.154368321209e-11  2.815423004990e-11
gfc    11    5  3.740421020293e-08  4.960274130487e-08  2.300508800870e-11  3.213904527547e-11
gfc    11    6 -1.577123962177e-09  3.426725934064e-08  1.266120336764e-11  6.521150144479e-12
gfc    11    7  4.676199478837e-09 -8.983755316455e-08  2.423462664448e-11  1.587922887884e-11
gfc    11    8 -6.306812235775e-09  2.454263134288e-08  1.990781227158e-11  2.022988468993e-11
gfc    11    9 -3.106003393609e-08  4.207472130844e-08  1.703973858751e-11  1.434563090292e-11
gfc    11   10 -5.224507317296e-08 -1.840034166617e-08  9.091855625640e-12  2.491386921193e-11
gfc    11   11  4.621974271054e-08 -6.966299855540e-08  3.049951139421e-11  2.126842169970e-11
gfc    12    0  3.642597358381e-08  0.000000000000e+00  3.458903568589e-11  0.000000000000e+00
gfc    12    1 -5.358394576953e-08 -4.315873650106e-08  3.212318160007e-11  3.318512541101e-11
gfc    12    2  1.425039223164e-08  3.110800717965e-08  5.087646045400e-11  3.756931470407e-11
gfc    12    3  3.960754251073e-08  2.505747133145e-08  4.200834052531e-11  2.935310801278e-11
gfc    12    4 -6.773066315823e-08  3.847876471225e-09  3.050618866117e-11  1.755728793352e-11
gfc    12    5  3.086528048002e-08  7.610491739604e-09  2.518066841120e-11  2.646679373567e-11
gfc    12    6  3.113957284889e-09  3.898659139892e-08  2.785243534713e-11  8.566691613491e-12
gfc    12    7 -1.906470342602e-08  3.572023839856e-08  1.644828480889e-11  2.131288593696e-11
gfc    12    8 -2.588572229403e-08  1.692737051616e-08  6.804541350998e-12  2.735516157696e-11
gfc    12    9  4.190641959283e-08  2.495866062695e-08  1.536328759398e-11  1.339285720547e-11
gfc    12   10 -6.193694672616e-09  3.092312504071e-08  1.145472596061e-11  1.753192812488e-11
gfc    12   11  1.137395468424e-08 -6.390684287418e-09  2.144793348086e-11  6.537567369332e-12
gfc    12   12 -2.414369325068e-09 -1.110826704428e-08  2.974510349943e-11  1.155880986079e-11
gfc    13    0  4.173661005319e-08  0.000000000000e+00  1.585817276763e-11  0.000000000000e+00
gfc    13    1 -5.144363006469e-08  3.867763006821e-08  6.879662219903e-12  2.088858069908e-11
gfc    13    2  5.532549224704e-08 -6.269861288659e-08  1.785671227636e-11  2.613744545139e-11
gfc    13    3 -2.156568821075e-08  9.769172379802e-08  2.148391009077e-11  8.397114317584e-12
gfc    13    4 -3.654908095098e-09 -1.175227342953e-08  3.092799398456e-11  2.965414791294e-11
gfc    13    5  5.837445511039e-08  6.723379387324e-08  2.196675290890e-11  2.265521917011e-11
gfc    13    6 -3.504333776887e-08 -6.265068835388e-09  1.574654428874e-11  1.640307150404e-11
gfc    13    7  3.000973465367e-09 -7.320493478324e-09  1.581622234991e-11  2.517173314410e-11
gfc    13    8 -1.005674368240e-08 -9.854745319933e-09  1.661684783309e-11  1.061483442775e-11
gfc    13    9  2.476781772374e-08  4.589428155398e-08  8.824803617501e-12  1.838632210552e-11
gfc    13   10  4.109842972877e-08 -3.684175484999e-08  1.419268333779e-11  1.287385543916e-11
gfc    13   11 -4.452709133697e-08 -4.862068789852e-09  1.287543853968e-11  2.245871770482e-11
gfc    13   12 -3.129823803497e-08  8.794452101521e-08  1.912484506591e-11  5.784442817517e-12
gfc    13   13 -6.119880406265e-08  6.815321506957e-08  1.083897597635e-11  1.071325030438e-11
gfc    14    0 -2.267744142018e-08  0.000000000000e+00  2.737730324275e-11  0.000000000000e+00
gfc    14    1 -1.878014648962e-08  2.886425339803e-08  1.981974570681e-11  1.231101320881e-11
gfc    14    2 -3.592809195244e-08 -4.062067214568e-09  2.658142727919e-11  2.937570103988e-11
gfc    14    3  3.650474985212e-08  1.968661586090e-08  3.119103645225e-11  2.030959061496e-11
gfc    14    4  1.602037745168e-09 -2.266553142302e-08  2.476437693917e-11  1.595769087944e-11
gfc    14    5  2.931721704434e-08 -1.678519516391e-08  1.848726724805e-11  1.998181800721e-11
gfc    14    6 -1.905554752931e-08  2.454334347142e-09  1.924087339075e-11  1.485424152955e-11
gfc    14    7  3.763104884788e-08 -3.933834652341e-09  1.338370940791e-11  1.020656477771e-11
gfc    14    8 -3.494254113155e-08 -1.544689981146e-08  7.158300739606e-12  1.093352057474e-11
gfc    14    9  3.196338587811e-08  2.847485147048e-08  1.368935747056e-11  1.015561932242e-11
gfc    14   10  3.879060086908e-08 -1.281832083376e-09  1.315872633435e-11  1.948457814599e-11
gfc    14   11  1.564753316616e-08 -3.903832099168e-08  9.437046703593e-12  6.092139553224e-12
gfc    14   12  8.450202601646e-09 -3.113478481400e-08  1.885299081632e-11  8.785508756579e-12
gfc    14   13  3.224348741659e-08  4.514763602824e-08  5.322546124034e-12  1.360570833539e-11
gfc    14   14 -5.186920597573e-08 -4.825595022648e-09  7.716911178349e-12  1.217157842860e-11
gfc    15    0  2.199316269478e-09  0.000000000000e+00  1.912644757814e-11  0.000000000000e+00
gfc    15    1  9.429924738527e-09  1.049325352922e-08  7.719128749384e-12  1.538591664438e-11
gfc    15    2 -2.052255967559e-08 -3.029969987243e-08  1.454500580918e-11  1.056247224876e-11
gfc    15    3  5.340528728729e-08  1.766197802353e-08  1.969829156121e-11  1.836390663851e-11
gfc    15    4 -4.018115929850e-08  6.815391021268e-09  1.731033258055e-11  2.415617535946e-11
gfc    15    5  1.223670814818e-08  7.620432049545e-09  6.426201498988e-12  1.632219229555e-11
gfc    15    6  3.285520720627e-08 -3.646302511293e-08  2.057291258367e-11  1.219844677681e-11
gfc    15    7  5.966296791282e-08  5.070746068971e-09  6.682425392782e-12  1.619144600162e-11
gfc    15    8 -3.208589245221e-08  2.217069490272e-08  2.334943878073e-11  7.355045847221e-12
gfc    15    9  1.330588045956e-08  3.798957082139e-08  7.573925471656e-12  8.174488681181e-12
gfc    15   10  1.026582734922e-08  1.469849759581e-08  4.082300264813e-12  1.054343971165e-11
gfc    15   11 -1.303572599958e-09  1.853023515504e-08  5.755808417475e-12  1.122598243708e-11
gfc    15   12 -3.241040232004e-08  1.561547360957e-08  6.468666640453e-12  1.501374143625e-11
gfc    15   13 -2.837781125028e-08 -4.569428802432e-09  9.773140728893e-12  1.002803255006e-11
gfc    15   14  5.191792593237e-09 -2.439284185171e-08  1.048735634989e-11  8.526261261079e-12
gfc    15   15 -1.902280762901e-08 -4.703770714137e-09  2.063962801610e-11  1.220504976877e-11
gfc    16    0 -4.714626905115e-09  0.000000000000e+00  1.718271695620e-11  0.000000000000e+00
gfc    16    1  2.618019444017e-08  3.334199491195e-08  2.098095910746e-11  2.302634760384e-11
gfc    16    2 -2.451229191932e-08  2.804893025002e-08  2.669747220981e-11  3.057748313016e-11
gfc    16    3 -3.391561752935e-08 -2.134024666090e-08  2.471381790794e-11  4.759559511029e-12
gfc    16    4  4.084965005298e-08  4.799594129990e-08  8.151839895094e-12  1.120462168764e-11
gfc    16    5 -1.211866725031e-08 -3.438321996677e-09  4.573407671882e-12  1.083461288795e-11
gfc    16    6  1.386756804024e-08 -3.559047762897e-08  1.459240231446e-11  7.227320051982e-12
gfc    16    7 -8.063954249385e-09 -8.654799807443e-09  1.416958301893e-11  2.036689135033e-11
gfc    16    8 -2.120609954943e-08  5.404084070002e-09  6.538893993766e-12  1.679629633448e-11
gfc    16    9 -2.241425071855e-08 -3.967231440532e-08  8.152214135585e-12  9.161341005791e-12
gfc    16   10 -1.180829693896e-08  1.153135776616e-08  6.668175949688e-12  7.069933111333e-12
gfc    16   11  1.910953075633e-08 -3.204168451781e-09  6.526155833270e-12  8.791761478952e-12
gfc    16   12  1.956558056167e-08  6.729058247138e-09  9.754867883847e-12  1.077968055676e-11
gfc    16   13  1.377240311957e-08  1.043574178099e-09  6.573980951676e-12  8.144261662234e-12
gfc    16   14 -1.934496538157e-08 -3.864289317681e-08  4.102767401529e-12  8.298401596352e-12
gfc    16   15 -1.441372620694e-08 -3.277763242510e-08  8.424967306892e-12  9.403177345416e-12
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