IGG-SLR-HYBRID_S4+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: July 1993       

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

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_S4+6E_1993-07
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 -4.841694497510e-04  0.000000000000e+00  2.218455186070e-11  0.000000000000e+00
gfc     2    1 -1.604933661327e-10  1.286812276375e-09  5.201392913837e-11  4.598377540770e-11
gfc     2    2  2.439295639321e-06 -1.400277156582e-06  9.167169254408e-11  9.178357983871e-11
gfc     3    0  9.570897723690e-07  0.000000000000e+00  1.273557443161e-10  0.000000000000e+00
gfc     3    1  2.030395833720e-06  2.483114985894e-07  1.192222775377e-10  1.273845017295e-10
gfc     3    2  9.046182532197e-07 -6.189991884629e-07  2.012917030526e-10  2.122687007877e-10
gfc     3    3  7.212474485965e-07  1.414185421622e-06  2.865446541689e-10  3.038546362470e-10
gfc     4    0  5.400272693022e-07  0.000000000000e+00  6.660106494934e-11  0.000000000000e+00
gfc     4    1 -5.361728641925e-07 -4.734519676581e-07  9.580492399755e-11  9.690411667381e-11
gfc     4    2  3.504676632473e-07  6.625562206307e-07  1.036508181176e-10  1.001867829155e-10
gfc     4    3  9.907862022956e-07 -2.008830157209e-07  1.184941765342e-10  1.148370304193e-10
gfc     4    4 -1.884121119704e-07  3.089512257839e-07  1.917113805692e-10  1.959076707862e-10
gfc     5    0  6.876097410594e-08  0.000000000000e+00  1.724869145838e-10  0.000000000000e+00
gfc     5    1 -6.288031950789e-08 -9.437921579226e-08  5.200557321479e-11  1.593267288991e-10
gfc     5    2  6.520713828638e-07 -3.233115966295e-07  1.215460055027e-10  4.569590124511e-11
gfc     5    3 -4.518246113286e-07 -2.149763387952e-07  9.171324689561e-11  7.645382474561e-11
gfc     5    4 -2.953782879489e-07  4.986329580873e-08  6.579349579159e-11  7.600877475608e-11
gfc     5    5  1.748063629923e-07 -6.693283211071e-07  4.407008513851e-11  8.744463359912e-11
gfc     6    0 -1.498921092574e-07  0.000000000000e+00  9.699766783369e-11  0.000000000000e+00
gfc     6    1 -7.588921037280e-08  2.652740103987e-08  9.367615899084e-11  3.254463347726e-11
gfc     6    2  4.862490026685e-08 -3.737998108394e-07  5.443775495710e-11  9.550649242065e-11
gfc     6    3  5.723721330002e-08  8.936011915108e-09  5.069107935687e-11  8.135452387162e-11
gfc     6    4 -8.598045492970e-08 -4.714565157733e-07  5.118616651968e-11  5.414938376645e-11
gfc     6    5 -2.671744058376e-07 -5.364664263428e-07  4.861019213420e-11  6.399672524929e-11
gfc     6    6  9.489598104378e-09 -2.374188062172e-07  7.106974614992e-11  9.357082971174e-11
gfc     7    0  9.046455024137e-08  0.000000000000e+00  5.585909957479e-11  0.000000000000e+00
gfc     7    1  2.808593641054e-07  9.515207022274e-08  2.643207110623e-11  1.107226021969e-10
gfc     7    2  3.303803087773e-07  9.299716164227e-08  4.123106161822e-11  6.370305626032e-11
gfc     7    3  2.504419666000e-07 -2.170709450142e-07  5.853753880164e-11  7.541090930360e-11
gfc     7    4 -2.749621323670e-07 -1.240960167399e-07  8.072922258395e-11  6.636265232802e-11
gfc     7    5  1.620522808138e-09  1.791982554314e-08  6.037883887305e-11  3.784635123998e-11
gfc     7    6 -3.587965695023e-07  1.518235940930e-07  6.127531276356e-11  3.926796787502e-11
gfc     7    7  1.546899544570e-09  2.410027697267e-08  5.418346260800e-11  6.707866930155e-11
gfc     8    0  4.953587882606e-08  0.000000000000e+00  5.403172791209e-11  0.000000000000e+00
gfc     8    1  2.312054372480e-08  5.892749523960e-08  7.168785947810e-11  4.165289252456e-11
gfc     8    2  7.998778493463e-08  6.529805118426e-08  5.514913615037e-11  5.435709589280e-11
gfc     8    3 -1.937875398858e-08 -8.592810081106e-08  3.717423302783e-11  9.060625519984e-11
gfc     8    4 -2.443671765064e-07  6.981404178932e-08  5.466937095540e-11  2.108998920105e-11
gfc     8    5 -2.571444831912e-08  8.917534246236e-08  5.789017555610e-11  5.893023782287e-11
gfc     8    6 -6.597886640486e-08  3.089241879024e-07  4.823271289085e-11  2.027545290370e-11
gfc     8    7  6.726038016274e-08  7.484887381234e-08  3.032803638575e-11  6.107250450244e-11
gfc     8    8 -1.240462580317e-07  1.205424199844e-07  5.850061691156e-11  4.126649021898e-11
gfc     9    0  2.804038693621e-08  0.000000000000e+00  5.119310498185e-11  0.000000000000e+00
gfc     9    1  1.421499814491e-07  2.137588194064e-08  3.113695678209e-11  6.045747718655e-11
gfc     9    2  2.141629377460e-08 -3.168928367790e-08  1.810003800420e-11  5.227683437810e-11
gfc     9    3 -1.605818459119e-07 -7.426833934807e-08  5.925906824268e-11  5.879627259596e-11
gfc     9    4 -9.357625580223e-09  1.992337573524e-08  4.612104115099e-11  4.594726450653e-11
gfc     9    5 -1.630165570877e-08 -5.404338389591e-08  3.142035476910e-11  2.797785513073e-11
gfc     9    6  6.277424290779e-08  2.229629673845e-07  1.552981908157e-11  3.312912793415e-11
gfc     9    7 -1.179658936746e-07 -9.690321369676e-08  3.230398853852e-11  3.703671622094e-11
gfc     9    8  1.881353827206e-07 -3.002334073490e-09  3.480952991751e-11  4.854818043401e-11
gfc     9    9 -4.756799923393e-08  9.689042072186e-08  2.795263563151e-11  2.548015501377e-11
gfc    10    0  5.331918694077e-08  0.000000000000e+00  5.766616626272e-11  0.000000000000e+00
gfc    10    1  8.375581959395e-08 -1.310982080289e-07  2.670047645780e-11  1.868820429873e-11
gfc    10    2 -9.398697672902e-08 -5.129887760938e-08  5.391471611212e-11  4.320234271241e-11
gfc    10    3 -6.976263128699e-09 -1.541402066928e-07  5.346204751558e-11  4.833776637164e-11
gfc    10    4 -8.443259656667e-08 -7.904836606133e-08  5.115703696540e-11  3.760113368113e-11
gfc    10    5 -4.927856000237e-08 -5.061945526506e-08  1.379444654230e-11  1.877964370753e-11
gfc    10    6 -3.756856428415e-08 -7.975960876972e-08  4.301212047699e-11  1.684481895606e-11
gfc    10    7  8.279891772716e-09 -3.034335084924e-09  3.501424207859e-11  2.338753725794e-11
gfc    10    8  4.059083628130e-08 -9.169132342885e-08  1.360897694967e-11  3.541471566116e-11
gfc    10    9  1.253631795448e-07 -3.793811082724e-08  3.005152581955e-11  3.204660577012e-11
gfc    10   10  1.004299937219e-07 -2.384591552700e-08  1.771341282459e-11  3.989902980401e-11
gfc    11    0 -5.076018976273e-08  0.000000000000e+00  1.861422825864e-11  0.000000000000e+00
gfc    11    1  1.558617784791e-08 -2.711850720592e-08  3.418751911334e-11  2.764191913812e-11
gfc    11    2  2.013151661303e-08 -9.899297828895e-08  2.307597824580e-11  4.332576988809e-11
gfc    11    3 -3.058255191680e-08 -1.488195877026e-07  3.638576754365e-11  3.186390584712e-11
gfc    11    4 -3.794057946373e-08 -6.376943401981e-08  4.000192972661e-11  2.746776098301e-11
gfc    11    5  3.741334274409e-08  4.956890108113e-08  2.296678934972e-11  4.302723455786e-11
gfc    11    6 -1.562138623851e-09  3.428097701048e-08  1.836082274111e-11  1.869110352927e-11
gfc    11    7  4.661134498751e-09 -8.983201056740e-08  2.832298809493e-11  1.812961005047e-11
gfc    11    8 -6.300174678284e-09  2.456082318649e-08  1.860413510010e-11  2.256733002442e-11
gfc    11    9 -3.107999596193e-08  4.207000292318e-08  1.917950992899e-11  1.305361364962e-11
gfc    11   10 -5.225278493830e-08 -1.843555947323e-08  1.197219994851e-11  4.825071903392e-11
gfc    11   11  4.624408649173e-08 -6.966570762239e-08  4.093509802622e-11  2.546182022983e-11
gfc    12    0  3.646279203759e-08  0.000000000000e+00  4.508294177666e-11  0.000000000000e+00
gfc    12    1 -5.360697546574e-08 -4.314698279314e-08  3.170761543045e-11  3.487066010948e-11
gfc    12    2  1.428091815597e-08  3.111420688900e-08  5.032004125937e-11  3.728437915401e-11
gfc    12    3  3.961869797337e-08  2.507359669984e-08  3.525706701842e-11  2.656625871125e-11
gfc    12    4 -6.773835594156e-08  3.860050909576e-09  2.977794522787e-11  2.698924322532e-11
gfc    12    5  3.086765523449e-08  7.578578172339e-09  3.029127679597e-11  2.521694239310e-11
gfc    12    6  3.120159635040e-09  3.897125122586e-08  2.821575925649e-11  1.901111072471e-11
gfc    12    7 -1.905524133578e-08  3.572506390468e-08  2.196241945659e-11  2.678728083508e-11
gfc    12    8 -2.587977575843e-08  1.692100819153e-08  1.027287320795e-11  3.036088311398e-11
gfc    12    9  4.190981623062e-08  2.496371721458e-08  1.720890814949e-11  1.523482405307e-11
gfc    12   10 -6.200833503398e-09  3.093282882865e-08  1.614687864206e-11  1.843117118728e-11
gfc    12   11  1.137135147642e-08 -6.398314387069e-09  2.661322761672e-11  1.698385698104e-11
gfc    12   12 -2.409657081903e-09 -1.110599456837e-08  3.262181060254e-11  1.410454019518e-11
gfc    13    0  4.173599269750e-08  0.000000000000e+00  2.090426120567e-11  0.000000000000e+00
gfc    13    1 -5.143073481565e-08  3.867418299188e-08  1.547562932954e-11  1.957903323048e-11
gfc    13    2  5.531982626003e-08 -6.268858212829e-08  1.686812837058e-11  2.480852885221e-11
gfc    13    3 -2.154592369535e-08  9.768248583330e-08  2.408772159087e-11  8.964805215192e-12
gfc    13    4 -3.643720890980e-09 -1.174661176547e-08  2.818907741102e-11  3.452110468860e-11
gfc    13    5  5.837858970252e-08  6.723804236292e-08  2.630747488465e-11  2.284226167563e-11
gfc    13    6 -3.503999182908e-08 -6.269218689434e-09  2.237038736019e-11  1.909269917465e-11
gfc    13    7  3.011012944906e-09 -7.306991954586e-09  1.608451710611e-11  2.950255713382e-11
gfc    13    8 -1.005141834189e-08 -9.860076103678e-09  2.286236106511e-11  1.474722062866e-11
gfc    13    9  2.475143002099e-08  4.589634550571e-08  1.749261397102e-11  2.077163499354e-11
gfc    13   10  4.110556994887e-08 -3.683275135145e-08  1.759198663135e-11  1.779663113042e-11
gfc    13   11 -4.451721252616e-08 -4.849279738699e-09  1.616419749108e-11  2.296876803981e-11
gfc    13   12 -3.131010401737e-08  8.794748948518e-08  2.517717436045e-11  1.124658585284e-11
gfc    13   13 -6.120564877981e-08  6.815432844668e-08  1.033312666232e-11  1.160256556935e-11
gfc    14    0 -2.268989102125e-08  0.000000000000e+00  3.020783533907e-11  0.000000000000e+00
gfc    14    1 -1.876687151693e-08  2.886013840765e-08  1.850719237614e-11  1.364760553989e-11
gfc    14    2 -3.591685627569e-08 -4.068912606675e-09  2.293311490445e-11  2.848177413426e-11
gfc    14    3  3.652358705988e-08  1.968864172193e-08  2.846775463623e-11  2.395260610177e-11
gfc    14    4  1.619444310780e-09 -2.268318021112e-08  2.226556824634e-11  2.820470214329e-11
gfc    14    5  2.932054293028e-08 -1.678212269043e-08  2.015190493399e-11  2.214324458610e-11
gfc    14    6 -1.904866236826e-08  2.469806948666e-09  2.437551733096e-11  1.731941165145e-11
gfc    14    7  3.762204774812e-08 -3.930150175429e-09  1.322047364191e-11  1.174684877115e-11
gfc    14    8 -3.493902535294e-08 -1.543446462276e-08  8.898024744316e-12  1.814670039602e-11
gfc    14    9  3.195263838957e-08  2.846591568839e-08  1.346644518564e-11  1.247092412139e-11
gfc    14   10  3.878069001023e-08 -1.285291050282e-09  1.689583949044e-11  1.875223138834e-11
gfc    14   11  1.564979602946e-08 -3.904719097543e-08  9.827245774025e-12  9.539405727006e-12
gfc    14   12  8.457230113471e-09 -3.112485903245e-08  2.276837260571e-11  1.381306216207e-11
gfc    14   13  3.223722056632e-08  4.515428781445e-08  8.152771974477e-12  2.066177144879e-11
gfc    14   14 -5.187980408346e-08 -4.829446975853e-09  1.788745594675e-11  1.555134646979e-11
gfc    15    0  2.189820594664e-09  0.000000000000e+00  2.009368484865e-11  0.000000000000e+00
gfc    15    1  9.427555465128e-09  1.048845798535e-08  1.349546792414e-11  1.470036743021e-11
gfc    15    2 -2.051965694898e-08 -3.029093287292e-08  2.336739160558e-11  1.402824399359e-11
gfc    15    3  5.340645070148e-08  1.765629023955e-08  2.213676633075e-11  1.536670677824e-11
gfc    15    4 -4.017783199256e-08  6.806026067614e-09  1.481865542040e-11  2.472792782332e-11
gfc    15    5  1.224530394219e-08  7.604877653627e-09  1.221806420867e-11  1.651886127353e-11
gfc    15    6  3.286285240596e-08 -3.646282622650e-08  2.285881712893e-11  1.309326816570e-11
gfc    15    7  5.965656404730e-08  5.064969329592e-09  6.551901659356e-12  1.746608355549e-11
gfc    15    8 -3.208041805182e-08  2.217717568083e-08  2.247033330317e-11  9.733746535454e-12
gfc    15    9  1.331332642455e-08  3.798700694609e-08  1.547482216302e-11  1.040655235724e-11
gfc    15   10  1.026144174073e-08  1.469935238556e-08  5.785186307066e-12  1.131844220862e-11
gfc    15   11 -1.298734098936e-09  1.852328079375e-08  6.483630342987e-12  1.260517932136e-11
gfc    15   12 -3.240537590387e-08  1.561229290911e-08  1.060830616110e-11  1.844774415491e-11
gfc    15   13 -2.837276173738e-08 -4.566912327014e-09  1.044474417789e-11  1.047903040035e-11
gfc    15   14  5.199934082395e-09 -2.438414677547e-08  1.482537299302e-11  1.091467974325e-11
gfc    15   15 -1.903354106935e-08 -4.696414608420e-09  2.680582738942e-11  1.589886525372e-11
gfc    16    0 -4.707750889739e-09  0.000000000000e+00  2.315751214826e-11  0.000000000000e+00
gfc    16    1  2.618615791343e-08  3.334725627735e-08  2.224805603225e-11  2.465117455973e-11
gfc    16    2 -2.449761906597e-08  2.804499495129e-08  2.337495802951e-11  2.855792009467e-11
gfc    16    3 -3.390610262972e-08 -2.134007256472e-08  2.402362184150e-11  5.005405422465e-12
gfc    16    4  4.084980673051e-08  4.800246588483e-08  8.656122396573e-12  1.934074673387e-11
gfc    16    5 -1.211901809093e-08 -3.446756930459e-09  7.514742806960e-12  1.307719283647e-11
gfc    16    6  1.386932977630e-08 -3.558982849051e-08  1.609320209580e-11  1.290999478852e-11
gfc    16    7 -8.069265861313e-09 -8.660956320972e-09  1.334716995758e-11  2.172691648676e-11
gfc    16    8 -2.120871151243e-08  5.404753111317e-09  6.139613411529e-12  1.934631023620e-11
gfc    16    9 -2.240719940075e-08 -3.967003965646e-08  8.345968352849e-12  1.185923684941e-11
gfc    16   10 -1.180306609462e-08  1.153816056866e-08  8.708471391898e-12  6.687697448199e-12
gfc    16   11  1.911020189233e-08 -3.205257706791e-09  7.551617863007e-12  9.612355951479e-12
gfc    16   12  1.956163418126e-08  6.725508328859e-09  1.010336755572e-11  1.241006295497e-11
gfc    16   13  1.376758724901e-08  1.053390764463e-09  8.298166000127e-12  9.996115097532e-12
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