IGG-SLR-HYBRID_S3+6E: 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: May 1993       

SH degrees solved for:     2-3 
EOFs used:                 6 
SH degrees used in EOFs:   4-60

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_S3+6E_1993-05
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 -4.841693993085e-04  0.000000000000e+00  2.427205598656e-11  0.000000000000e+00
gfc     2    1 -2.188679085861e-10  1.288800705635e-09  6.542665186949e-11  6.022146074675e-11
gfc     2    2  2.439280983687e-06 -1.400226160449e-06  1.205065841708e-10  1.258221931533e-10
gfc     3    0  9.572389388512e-07  0.000000000000e+00  1.419837295779e-10  0.000000000000e+00
gfc     3    1  2.030513193849e-06  2.481888177058e-07  1.328634654112e-10  1.694392813264e-10
gfc     3    2  9.047998123206e-07 -6.189456338189e-07  2.765564608699e-10  2.571160506829e-10
gfc     3    3  7.212268425402e-07  1.414346242967e-06  3.777371332465e-10  3.315589663796e-10
gfc     4    0  5.400580280873e-07  0.000000000000e+00  1.152033408200e-10  0.000000000000e+00
gfc     4    1 -5.360647656506e-07 -4.735729068168e-07  9.745679661224e-11  4.612713617478e-11
gfc     4    2  3.505251867997e-07  6.625104852704e-07  6.037933926994e-11  9.831224074666e-11
gfc     4    3  9.908661813423e-07 -2.009853331083e-07  4.225627687228e-11  1.125663175366e-10
gfc     4    4 -1.885472049341e-07  3.088933531801e-07  1.042477401086e-10  1.194813763455e-10
gfc     5    0  6.869182865269e-08  0.000000000000e+00  1.413392587924e-10  0.000000000000e+00
gfc     5    1 -6.291164292606e-08 -9.446889382044e-08  4.473252699974e-11  1.427924473386e-10
gfc     5    2  6.520851404949e-07 -3.233568383431e-07  1.122553380418e-10  4.544630317847e-11
gfc     5    3 -4.518542340088e-07 -2.149954683316e-07  7.379947905012e-11  7.002222171232e-11
gfc     5    4 -2.953616882062e-07  4.978907337100e-08  6.594610254244e-11  6.565762694520e-11
gfc     5    5  1.747950737179e-07 -6.693428734158e-07  3.709895466102e-11  6.893939733428e-11
gfc     6    0 -1.499522502602e-07  0.000000000000e+00  8.621701794978e-11  0.000000000000e+00
gfc     6    1 -7.589879945381e-08  2.649759057266e-08  8.331396451183e-11  2.997570341568e-11
gfc     6    2  4.864615799550e-08 -3.738542146648e-07  4.575236948103e-11  8.730733173130e-11
gfc     6    3  5.720583720084e-08  8.884867534698e-09  4.990333488789e-11  7.779590991418e-11
gfc     6    4 -8.603003593745e-08 -4.714461637477e-07  4.371052977253e-11  4.372576166663e-11
gfc     6    5 -2.671985591074e-07 -5.364911145355e-07  4.784620087996e-11  5.004258311294e-11
gfc     6    6  9.511837383988e-09 -2.374283285426e-07  5.587861708304e-11  9.146285371582e-11
gfc     7    0  9.054447777166e-08  0.000000000000e+00  5.390155411292e-11  0.000000000000e+00
gfc     7    1  2.808901546294e-07  9.507290806812e-08  2.513678533977e-11  1.048459402692e-10
gfc     7    2  3.304335917648e-07  9.293968721961e-08  4.261213697929e-11  6.197078873382e-11
gfc     7    3  2.504101949385e-07 -2.171876299074e-07  4.966078400613e-11  7.627846844071e-11
gfc     7    4 -2.750135787685e-07 -1.240760778787e-07  8.179966366043e-11  5.625035305014e-11
gfc     7    5  1.646375458021e-09  1.790945645141e-08  5.253974348130e-11  3.306774744309e-11
gfc     7    6 -3.588331591025e-07  1.517917964687e-07  5.937973106619e-11  3.748073181971e-11
gfc     7    7  1.539807984034e-09  2.406864186134e-08  4.514897340610e-11  5.891117935990e-11
gfc     8    0  4.949033784354e-08  0.000000000000e+00  4.862237806376e-11  0.000000000000e+00
gfc     8    1  2.321973041669e-08  5.887608761853e-08  7.255224204727e-11  3.674874304071e-11
gfc     8    2  8.002052740117e-08  6.524821993342e-08  5.122112837154e-11  5.390883531000e-11
gfc     8    3 -1.939407521145e-08 -8.604139820360e-08  3.424611924470e-11  8.894495949699e-11
gfc     8    4 -2.444088898769e-07  6.980604296496e-08  4.918889289430e-11  1.801675886684e-11
gfc     8    5 -2.569840374776e-08  8.919397953298e-08  5.382144583199e-11  5.473607990595e-11
gfc     8    6 -6.596986300562e-08  3.089358397971e-07  3.684508997559e-11  2.013371115784e-11
gfc     8    7  6.726997970190e-08  7.488834616315e-08  2.776521165919e-11  5.608128318976e-11
gfc     8    8 -1.240621673847e-07  1.205262631747e-07  5.715379488121e-11  3.207169888994e-11
gfc     9    0  2.798774808687e-08  0.000000000000e+00  4.515849003481e-11  0.000000000000e+00
gfc     9    1  1.421718398835e-07  2.134535674193e-08  2.873262876270e-11  5.926175005248e-11
gfc     9    2  2.141440798575e-08 -3.174657124424e-08  1.787358886502e-11  5.504778537203e-11
gfc     9    3 -1.606079321366e-07 -7.432342691224e-08  4.654327213832e-11  5.938491906746e-11
gfc     9    4 -9.416398573803e-09  1.988216935152e-08  4.729785655088e-11  3.976726645392e-11
gfc     9    5 -1.629968317697e-08 -5.401873000986e-08  3.089258387907e-11  2.578120391387e-11
gfc     9    6  6.278814135463e-08  2.229506468016e-07  1.488262979812e-11  3.255194643272e-11
gfc     9    7 -1.179783184512e-07 -9.691005459772e-08  2.888500334617e-11  3.218362782466e-11
gfc     9    8  1.881421813376e-07 -2.971369016422e-09  3.318621457388e-11  4.650206660818e-11
gfc     9    9 -4.756259217222e-08  9.688031048552e-08  2.230089431200e-11  2.404648666499e-11
gfc    10    0  5.327236290913e-08  0.000000000000e+00  5.713067407442e-11  0.000000000000e+00
gfc    10    1  8.377464150684e-08 -1.310884416896e-07  2.426972593867e-11  1.764995587277e-11
gfc    10    2 -9.403214733849e-08 -5.131777732984e-08  5.332148842986e-11  4.000380879534e-11
gfc    10    3 -7.041662865671e-09 -1.541843313570e-07  5.391725568627e-11  4.512500622288e-11
gfc    10    4 -8.450306563141e-08 -7.904128455171e-08  4.931291952566e-11  3.718284370677e-11
gfc    10    5 -4.929673868127e-08 -5.061226519917e-08  1.299685620223e-11  1.504888255770e-11
gfc    10    6 -3.757202259724e-08 -7.976388056350e-08  3.412620002357e-11  1.677854873575e-11
gfc    10    7  8.266350151321e-09 -3.046796665770e-09  3.268996316754e-11  1.969392804631e-11
gfc    10    8  4.060489298125e-08 -9.170780321337e-08  1.352110248891e-11  2.672383098751e-11
gfc    10    9  1.253691118595e-07 -3.794914364516e-08  2.666769285682e-11  2.999728694390e-11
gfc    10   10  1.004237223337e-07 -2.384405853123e-08  1.465827081398e-11  3.617502235395e-11
gfc    11    0 -5.076913205381e-08  0.000000000000e+00  1.616546396896e-11  0.000000000000e+00
gfc    11    1  1.559951203052e-08 -2.711824535212e-08  3.276466259348e-11  2.568818688749e-11
gfc    11    2  2.010931337472e-08 -9.902471282173e-08  1.899964277826e-11  4.206230508416e-11
gfc    11    3 -3.061212473974e-08 -1.488539123727e-07  3.135651043882e-11  3.071471497792e-11
gfc    11    4 -3.798098335766e-08 -6.376558259890e-08  4.050988475028e-11  2.213593821684e-11
gfc    11    5  3.741321809731e-08  4.958460739253e-08  1.867400793582e-11  4.114508448069e-11
gfc    11    6 -1.562876251830e-09  3.428003116494e-08  1.618793168438e-11  1.844947791940e-11
gfc    11    7  4.664970152646e-09 -8.982743274505e-08  2.363341242135e-11  1.487079019217e-11
gfc    11    8 -6.296379193915e-09  2.453167110539e-08  1.737086265734e-11  2.111627463083e-11
gfc    11    9 -3.105892496425e-08  4.207816279876e-08  1.659742683460e-11  1.151605923547e-11
gfc    11   10 -5.224563519256e-08 -1.843876924633e-08  1.176732281367e-11  4.789688021864e-11
gfc    11   11  4.625055189382e-08 -6.965268423950e-08  3.892704572440e-11  2.213110996310e-11
gfc    12    0  3.643242468129e-08  0.000000000000e+00  4.531141460574e-11  0.000000000000e+00
gfc    12    1 -5.357134636192e-08 -4.317347227565e-08  2.765704970027e-11  3.209032683600e-11
gfc    12    2  1.425295636399e-08  3.109747551013e-08  5.105845310255e-11  2.950196227587e-11
gfc    12    3  3.959820046963e-08  2.504074964381e-08  3.610311601922e-11  2.513205129021e-11
gfc    12    4 -6.775244896055e-08  3.849259053464e-09  2.738397622534e-11  2.449924076997e-11
gfc    12    5  3.089269960935e-08  7.608593968658e-09  2.888413833532e-11  2.448844514723e-11
gfc    12    6  3.132711156072e-09  3.897510715863e-08  2.272496463604e-11  1.771512981920e-11
gfc    12    7 -1.904334901659e-08  3.574798049245e-08  2.030271568227e-11  2.601723945673e-11
gfc    12    8 -2.589475123591e-08  1.692206961202e-08  9.584296010713e-12  2.483340924612e-11
gfc    12    9  4.192712504350e-08  2.495614978735e-08  1.552477524280e-11  1.369805996520e-11
gfc    12   10 -6.210369740751e-09  3.094261689203e-08  1.520173648368e-11  1.555136890198e-11
gfc    12   11  1.134824161659e-08 -6.386843279417e-09  2.533271471159e-11  1.657005257665e-11
gfc    12   12 -2.413654379493e-09 -1.110257412083e-08  2.750627196027e-11  1.240537702342e-11
gfc    13    0  4.172179446609e-08  0.000000000000e+00  2.010969053247e-11  0.000000000000e+00
gfc    13    1 -5.143515474599e-08  3.869800362575e-08  1.532002893401e-11  1.709496499622e-11
gfc    13    2  5.531682284638e-08 -6.272138620573e-08  1.686789500308e-11  2.519347356488e-11
gfc    13    3 -2.155801697159e-08  9.769150853500e-08  2.284207584917e-11  7.521238997801e-12
gfc    13    4 -3.666350423001e-09 -1.176342056374e-08  2.833932318559e-11  3.140724977560e-11
gfc    13    5  5.838759327052e-08  6.724499838646e-08  2.328080338970e-11  2.017702137131e-11
gfc    13    6 -3.503896422811e-08 -6.272508499853e-09  2.096237538006e-11  1.721895240404e-11
gfc    13    7  3.020569402946e-09 -7.304125237963e-09  1.388894008019e-11  2.522675417500e-11
gfc    13    8 -1.004956038550e-08 -9.859232466512e-09  2.045034479085e-11  1.289165005338e-11
gfc    13    9  2.476231323127e-08  4.587833685913e-08  1.665537577526e-11  1.997536748525e-11
gfc    13   10  4.111151065750e-08 -3.682548279061e-08  1.640908556991e-11  1.673381604923e-11
gfc    13   11 -4.452094278888e-08 -4.849321911129e-09  1.357910982215e-11  1.843987648888e-11
gfc    13   12 -3.132623788265e-08  8.793714139983e-08  2.447851668589e-11  1.011579458735e-11
gfc    13   13 -6.120961881135e-08  6.813953129618e-08  8.325949710248e-12  1.066026608183e-11
gfc    14    0 -2.269034927897e-08  0.000000000000e+00  2.603689735908e-11  0.000000000000e+00
gfc    14    1 -1.878952231076e-08  2.886567968200e-08  1.783751678200e-11  1.208277548037e-11
gfc    14    2 -3.593773123728e-08 -4.052333868670e-09  2.148308145507e-11  2.553201818430e-11
gfc    14    3  3.649048242119e-08  1.969917911847e-08  2.933426940722e-11  2.252184823383e-11
gfc    14    4  1.590711291869e-09 -2.267380154554e-08  2.173175723145e-11  2.673036977830e-11
gfc    14    5  2.930585236356e-08 -1.679556317726e-08  1.684627492132e-11  2.024510091515e-11
gfc    14    6 -1.905419977478e-08  2.461847749945e-09  2.097361567103e-11  1.542702946198e-11
gfc    14    7  3.763842336400e-08 -3.929399757368e-09  1.238895711677e-11  9.917445039760e-12
gfc    14    8 -3.493641273026e-08 -1.543947311225e-08  8.904812699492e-12  1.663263507698e-11
gfc    14    9  3.195159555975e-08  2.845955309769e-08  1.106371261283e-11  1.152112024700e-11
gfc    14   10  3.880010551012e-08 -1.282577825701e-09  1.569264929490e-11  1.449126117038e-11
gfc    14   11  1.564076662664e-08 -3.903709323281e-08  8.412649913573e-12  8.544442993109e-12
gfc    14   12  8.471549777074e-09 -3.112228394415e-08  2.099934598255e-11  1.283759153236e-11
gfc    14   13  3.224226666133e-08  4.515056941123e-08  7.657931844727e-12  1.995636328181e-11
gfc    14   14 -5.187613833882e-08 -4.814309059233e-09  1.748413524968e-11  1.327832234096e-11
gfc    15    0  2.209751576200e-09  0.000000000000e+00  1.925121666637e-11  0.000000000000e+00
gfc    15    1  9.419652362987e-09  1.049797405711e-08  1.329747512065e-11  1.366490435851e-11
gfc    15    2 -2.053399774390e-08 -3.029979407179e-08  2.160533465789e-11  1.343498991192e-11
gfc    15    3  5.342284398086e-08  1.767831382642e-08  1.987240390440e-11  1.595890313650e-11
gfc    15    4 -4.018575666672e-08  6.834267843371e-09  1.432530777590e-11  2.376841406997e-11
gfc    15    5  1.224256089796e-08  7.626708174243e-09  1.213379400062e-11  1.581504194883e-11
gfc    15    6  3.283706102890e-08 -3.647243207321e-08  2.150131438030e-11  1.271325623016e-11
gfc    15    7  5.965847747224e-08  5.078251053703e-09  5.902405552582e-12  1.516779726319e-11
gfc    15    8 -3.208492011776e-08  2.216561343846e-08  1.908795302495e-11  8.788565094709e-12
gfc    15    9  1.330487364198e-08  3.799405463706e-08  1.487297294673e-11  9.692281460353e-12
gfc    15   10  1.026114679435e-08  1.468993153848e-08  5.579087581995e-12  1.001519159045e-11
gfc    15   11 -1.308621007103e-09  1.852840160521e-08  6.081768374635e-12  1.081874787703e-11
gfc    15   12 -3.240819795334e-08  1.560045209313e-08  9.716320759421e-12  1.747585343950e-11
gfc    15   13 -2.837039578553e-08 -4.574708615817e-09  9.409783270317e-12  9.037676679009e-12
gfc    15   14  5.208930104294e-09 -2.440228838284e-08  1.442114414856e-11  1.050986573296e-11
gfc    15   15 -1.904954113002e-08 -4.689100481494e-09  2.551627547792e-11  1.449538730566e-11
gfc    16    0 -4.704731793616e-09  0.000000000000e+00  2.227716535124e-11  0.000000000000e+00
gfc    16    1  2.618151265548e-08  3.331840828229e-08  2.181585950401e-11  2.428782141983e-11
gfc    16    2 -2.452281291325e-08  2.805740301629e-08  2.153426571194e-11  2.636449340935e-11
gfc    16    3 -3.392173416643e-08 -2.134101090750e-08  2.368436648087e-11  4.109707640111e-12
gfc    16    4  4.085429448253e-08  4.799499794108e-08  7.834101342672e-12  1.777346385673e-11
gfc    16    5 -1.211725202696e-08 -3.435549895712e-09  7.101351910540e-12  1.178627276321e-11
gfc    16    6  1.386837229357e-08 -3.559175040698e-08  1.406425064608e-11  1.259840957994e-11
gfc    16    7 -8.057551332280e-09 -8.632883436455e-09  1.123785475736e-11  2.114464358267e-11
gfc    16    8 -2.120160210386e-08  5.394084531730e-09  6.093019149018e-12  1.626791602731e-11
gfc    16    9 -2.242146143364e-08 -3.966766574612e-08  8.104367436637e-12  1.068199438785e-11
gfc    16   10 -1.180190271391e-08  1.153278089075e-08  7.819948846443e-12  5.423946990320e-12
gfc    16   11  1.910911261262e-08 -3.195771667481e-09  6.689201899077e-12  8.752506149529e-12
gfc    16   12  1.956467146709e-08  6.712634077888e-09  8.396460134723e-12  1.188811492635e-11
gfc    16   13  1.377469390259e-08  1.052467483006e-09  7.394887035102e-12  8.799824969565e-12
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gfc    60   54  4.597535598957e-09 -3.344446944959e-09  2.681002658613e-12  1.686248537087e-12
gfc    60   55  2.890343864326e-09  2.328202116336e-09  2.350996350284e-12  4.307437210731e-12
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gfc    60   59 -2.458594070631e-09  8.663954696658e-10  1.033080382504e-11  1.846370801328e-11
gfc    60   60  3.779945488271e-09  1.881267011994e-11  1.979194447124e-11  8.658568054410e-12