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: January 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_1993-01
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 -4.841694412643e-04  0.000000000000e+00  4.156660584231e-11  0.000000000000e+00
gfc     2    1 -2.586964047816e-10  1.265653761354e-09  1.307250870888e-10  1.211824878021e-10
gfc     2    2  2.439355387547e-06 -1.400373684880e-06  1.503765032117e-10  1.722793729167e-10
gfc     3    0  9.572232507161e-07  0.000000000000e+00  1.760507480368e-10  0.000000000000e+00
gfc     3    1  2.030295986510e-06  2.483135426665e-07  2.933721227794e-10  2.867292612828e-10
gfc     3    2  9.050486809572e-07 -6.187250531704e-07  3.085632227747e-10  3.777377860118e-10
gfc     3    3  7.209281326694e-07  1.413451033640e-06  6.797739290973e-10  7.669500143099e-10
gfc     4    0  5.399945313998e-07  0.000000000000e+00  1.308129416960e-10  0.000000000000e+00
gfc     4    1 -5.360919937794e-07 -4.736326042683e-07  2.531018010184e-10  2.520400562553e-10
gfc     4    2  3.506515519533e-07  6.622723642328e-07  2.991213076116e-10  2.804673285419e-10
gfc     4    3  9.908173542162e-07 -2.010329488033e-07  2.134399631387e-10  2.499011323372e-10
gfc     4    4 -1.887425430688e-07  3.089360948000e-07  2.964522566906e-10  3.280069588455e-10
gfc     5    0  6.865630297584e-08  0.000000000000e+00  1.545557927971e-10  0.000000000000e+00
gfc     5    1 -6.276988560764e-08 -9.421663873437e-08  3.511877954366e-10  3.878975125566e-10
gfc     5    2  6.523149096271e-07 -3.236820832327e-07  4.553830908283e-10  4.671904702012e-10
gfc     5    3 -4.521310962679e-07 -2.156272281011e-07  5.364453839499e-10  5.600861057488e-10
gfc     5    4 -2.950353499504e-07  4.990133233531e-08  3.538725301401e-10  3.395845309059e-10
gfc     5    5  1.749350991616e-07 -6.698003950834e-07  5.357030252157e-10  6.248469328573e-10
gfc     6    0 -1.499581372422e-07  0.000000000000e+00  1.569535425608e-10  0.000000000000e+00
gfc     6    1 -7.589077918195e-08  2.650867639096e-08  1.737745104934e-10  3.998387090451e-11
gfc     6    2  4.861962845053e-08 -3.738148178297e-07  9.143606610697e-11  1.696146414786e-10
gfc     6    3  5.720156334774e-08  8.926471299205e-09  5.765886729448e-11  1.437722605896e-10
gfc     6    4 -8.611434430555e-08 -4.713886170271e-07  9.105511602605e-11  7.729276333131e-11
gfc     6    5 -2.671402611872e-07 -5.366211045508e-07  5.001929938507e-11  1.085080354255e-10
gfc     6    6  9.398710790703e-09 -2.373108244675e-07  1.060071634752e-10  8.129438166536e-11
gfc     7    0  9.059180031845e-08  0.000000000000e+00  1.021738328267e-10  0.000000000000e+00
gfc     7    1  2.809209346465e-07  9.481062968954e-08  3.040681632166e-11  2.166913567965e-10
gfc     7    2  3.304576830381e-07  9.295913582247e-08  8.111807927149e-11  1.234326599525e-10
gfc     7    3  2.505217414180e-07 -2.172100231533e-07  8.227703211590e-11  1.363490068442e-10
gfc     7    4 -2.750965342900e-07 -1.239776930755e-07  1.010366765046e-10  9.913016986216e-11
gfc     7    5  1.686601673212e-09  1.791356710811e-08  8.513594343289e-11  5.503478914816e-11
gfc     7    6 -3.587837275283e-07  1.518132456122e-07  5.100065351553e-11  3.519777587745e-11
gfc     7    7  1.473831535107e-09  2.421813177926e-08  7.236565497782e-11  9.490006601712e-11
gfc     8    0  4.940956333648e-08  0.000000000000e+00  5.765849758718e-11  0.000000000000e+00
gfc     8    1  2.329975566469e-08  5.882184350572e-08  1.416444485827e-10  6.748897493099e-11
gfc     8    2  7.993765893712e-08  6.512472100823e-08  9.172814606129e-11  1.140886466131e-10
gfc     8    3 -1.945005290611e-08 -8.612774989843e-08  6.654053193672e-11  1.593110076385e-10
gfc     8    4 -2.443498692586e-07  6.978006948098e-08  1.050801574324e-10  2.848603398371e-11
gfc     8    5 -2.570089543913e-08  8.926132105374e-08  8.274058648480e-11  6.242784908490e-11
gfc     8    6 -6.586991094479e-08  3.089368890590e-07  7.274054987423e-11  1.641016999369e-11
gfc     8    7  6.723239769153e-08  7.489680717058e-08  2.920871579491e-11  8.586963719277e-11
gfc     8    8 -1.239920246869e-07  1.205930250236e-07  6.050598985166e-11  6.890071393498e-11
gfc     9    0  2.794310668523e-08  0.000000000000e+00  8.890982799931e-11  0.000000000000e+00
gfc     9    1  1.421181435765e-07  2.134598056455e-08  4.180383282887e-11  1.213146924925e-10
gfc     9    2  2.144242965831e-08 -3.180555483432e-08  2.423133537357e-11  1.163276508745e-10
gfc     9    3 -1.607647790330e-07 -7.433340291206e-08  9.389996280004e-11  1.004371378968e-10
gfc     9    4 -9.426049244278e-09  1.987280937304e-08  9.215139083305e-11  7.815212385287e-11
gfc     9    5 -1.633669555023e-08 -5.402137215922e-08  2.904081974848e-11  4.270148217631e-11
gfc     9    6  6.280541077776e-08  2.229779120755e-07  1.970812941598e-11  3.064328820789e-11
gfc     9    7 -1.179402997192e-07 -9.698008428299e-08  3.471425010394e-11  4.605543776306e-11
gfc     9    8  1.881276803093e-07 -3.007426971715e-09  3.597651768496e-11  6.062728099655e-11
gfc     9    9 -4.751916571230e-08  9.686925163024e-08  4.426515076395e-11  2.073881889932e-11
gfc    10    0  5.330872578841e-08  0.000000000000e+00  7.773121190367e-11  0.000000000000e+00
gfc    10    1  8.378626925343e-08 -1.310791007111e-07  5.286429964764e-11  2.679648624779e-11
gfc    10    2 -9.405647613713e-08 -5.128155650853e-08  1.062981873011e-10  7.663331784724e-11
gfc    10    3 -7.097764356522e-09 -1.541480109325e-07  8.937114001179e-11  9.742385277080e-11
gfc    10    4 -8.460548060494e-08 -7.899263265764e-08  9.878934138166e-11  2.523125218222e-11
gfc    10    5 -4.929449735210e-08 -5.058354106366e-08  1.727850697781e-11  3.168006066792e-11
gfc    10    6 -3.763828887478e-08 -7.977545456326e-08  6.408864466542e-11  7.921517471208e-12
gfc    10    7  8.270457782301e-09 -3.086285335928e-09  5.129817141167e-11  3.501521746822e-11
gfc    10    8  4.060450099486e-08 -9.177768885297e-08  1.981340074159e-11  5.494902696602e-11
gfc    10    9  1.254085134646e-07 -3.793676840288e-08  4.176375664652e-11  4.290202999365e-11
gfc    10   10  1.004254972679e-07 -2.391585159345e-08  2.774805815044e-11  3.633671464150e-11
gfc    11    0 -5.076639067067e-08  0.000000000000e+00  2.941931119698e-11  0.000000000000e+00
gfc    11    1  1.564148033248e-08 -2.719083201603e-08  2.742737487944e-11  4.072985563151e-11
gfc    11    2  2.007364614035e-08 -9.908737665941e-08  3.624938001317e-11  7.891072926231e-11
gfc    11    3 -3.053714678223e-08 -1.488563094707e-07  5.658014484715e-11  4.277088886326e-11
gfc    11    4 -3.803889970260e-08 -6.372267132392e-08  7.391474508162e-11  4.925223984617e-11
gfc    11    5  3.744290108978e-08  4.968196636357e-08  3.544348517955e-11  5.306807086175e-11
gfc    11    6 -1.566323518556e-09  3.426159162844e-08  2.178111884699e-11  1.083658349749e-11
gfc    11    7  4.627048772456e-09 -8.979858324420e-08  3.676565011452e-11  2.461495960786e-11
gfc    11    8 -6.293555960726e-09  2.455386297415e-08  3.500264062497e-11  3.314330087871e-11
gfc    11    9 -3.107944687809e-08  4.206469722475e-08  2.761730551021e-11  2.374267438984e-11
gfc    11   10 -5.224901222108e-08 -1.838490627250e-08  1.550440743189e-11  4.033638422425e-11
gfc    11   11  4.616850194386e-08 -6.970937756121e-08  4.866617654088e-11  3.256383388539e-11
gfc    12    0  3.635622596634e-08  0.000000000000e+00  6.008462704480e-11  0.000000000000e+00
gfc    12    1 -5.353358211613e-08 -4.315946540748e-08  5.332576725217e-11  5.510765940928e-11
gfc    12    2  1.416084755790e-08  3.100175123442e-08  8.901455619872e-11  5.755218691252e-11
gfc    12    3  3.955950426667e-08  2.499706147350e-08  7.436398170002e-11  5.014691916060e-11
gfc    12    4 -6.772417339844e-08  3.812565316739e-09  5.223902349680e-11  2.685002481404e-11
gfc    12    5  3.088512189959e-08  7.628731063323e-09  4.025749449245e-11  4.686855779954e-11
gfc    12    6  3.173071179989e-09  3.898990417779e-08  4.217872083100e-11  1.408704041468e-11
gfc    12    7 -1.904888125161e-08  3.571664194518e-08  2.669058378565e-11  3.450938786123e-11
gfc    12    8 -2.588259711161e-08  1.699831754999e-08  1.105566672842e-11  4.101267574478e-11
gfc    12    9  4.190076329441e-08  2.496872003153e-08  2.596948119347e-11  2.277820562262e-11
gfc    12   10 -6.214007919200e-09  3.096089027197e-08  1.803112479424e-11  2.746325676288e-11
gfc    12   11  1.134489729624e-08 -6.389399182491e-09  3.424018217402e-11  1.103820016959e-11
gfc    12   12 -2.492016471026e-09 -1.113231398197e-08  4.612010951159e-11  1.778623197175e-11
gfc    13    0  4.173658460072e-08  0.000000000000e+00  2.582045668326e-11  0.000000000000e+00
gfc    13    1 -5.145578563081e-08  3.872815905348e-08  1.114875168854e-11  3.400198402198e-11
gfc    13    2  5.534991778522e-08 -6.272351943101e-08  3.059084126181e-11  4.550206528061e-11
gfc    13    3 -2.161541986038e-08  9.767689120086e-08  3.588652143316e-11  1.307311936596e-11
gfc    13    4 -3.700421180700e-09 -1.176341306821e-08  5.497126444627e-11  4.987124924275e-11
gfc    13    5  5.832951298791e-08  6.721304711848e-08  3.372106577035e-11  3.714474396429e-11
gfc    13    6 -3.504225288319e-08 -6.278243672164e-09  2.691726012294e-11  2.636720609856e-11
gfc    13    7  3.030839125515e-09 -7.375998007769e-09  2.641056671004e-11  3.857587097898e-11
gfc    13    8 -1.002743534541e-08 -9.845729185574e-09  2.685924088952e-11  1.795196842016e-11
gfc    13    9  2.478414356836e-08  4.589976591823e-08  1.409890826911e-11  2.982245445265e-11
gfc    13   10  4.111257543023e-08 -3.685665460168e-08  2.242897520829e-11  2.072585969015e-11
gfc    13   11 -4.449113475456e-08 -4.818230683280e-09  1.970025067147e-11  3.414093302270e-11
gfc    13   12 -3.129315791995e-08  8.793798831411e-08  3.083021450921e-11  1.014350472519e-11
gfc    13   13 -6.121572956051e-08  6.815796770256e-08  1.855395965879e-11  1.774673251092e-11
gfc    14    0 -2.263937134602e-08  0.000000000000e+00  4.372239380021e-11  0.000000000000e+00
gfc    14    1 -1.880553707787e-08  2.886327000249e-08  3.463378659557e-11  2.103922158509e-11
gfc    14    2 -3.592459719005e-08 -3.985672642817e-09  4.551996386586e-11  4.877473255829e-11
gfc    14    3  3.647221772790e-08  1.969193996966e-08  5.551015783414e-11  3.339797454018e-11
gfc    14    4  1.542287158208e-09 -2.262298737155e-08  4.269495304442e-11  2.451034132086e-11
gfc    14    5  2.927923902549e-08 -1.679489205035e-08  2.859828964527e-11  3.291825297388e-11
gfc    14    6 -1.910146111995e-08  2.447000932671e-09  2.891016497237e-11  2.536431600467e-11
gfc    14    7  3.762749158317e-08 -3.944044099105e-09  2.281387170787e-11  1.701542891575e-11
gfc    14    8 -3.493385671090e-08 -1.547206894693e-08  1.274411346056e-11  1.681868346897e-11
gfc    14    9  3.197110950828e-08  2.846188472061e-08  2.389828302043e-11  1.664558133536e-11
gfc    14   10  3.879766870367e-08 -1.317907369994e-09  2.113957561267e-11  2.987069270750e-11
gfc    14   11  1.565465946759e-08 -3.903810883845e-08  1.580967181975e-11  1.059645964325e-11
gfc    14   12  8.480212010401e-09 -3.111761764395e-08  2.941914780059e-11  1.387043052464e-11
gfc    14   13  3.225371765823e-08  4.513901952410e-08  9.122474630290e-12  2.355689360519e-11
gfc    14   14 -5.184979314329e-08 -4.798999851088e-09  1.225109501631e-11  1.854795389264e-11
gfc    15    0  2.218161990637e-09  0.000000000000e+00  3.316062181418e-11  0.000000000000e+00
gfc    15    1  9.432628825605e-09  1.048739012785e-08  1.264178339439e-11  2.598063063478e-11
gfc    15    2 -2.053140629709e-08 -3.032258582395e-08  2.359246333488e-11  1.794100972117e-11
gfc    15    3  5.344049586253e-08  1.768960225147e-08  3.096531515921e-11  3.253814538246e-11
gfc    15    4 -4.018390291394e-08  6.855742049864e-09  2.990014779794e-11  4.105344277214e-11
gfc    15    5  1.223239607437e-08  7.661779727212e-09  1.102261831976e-11  2.763107801061e-11
gfc    15    6  3.283792476288e-08 -3.645622770607e-08  3.360756066259e-11  1.990549209458e-11
gfc    15    7  5.966317604091e-08  5.112272626717e-09  1.150000841614e-11  2.590561952908e-11
gfc    15    8 -3.210113788850e-08  2.217750257268e-08  3.904190405046e-11  1.198412807760e-11
gfc    15    9  1.329338885262e-08  3.798904529359e-08  1.167015759915e-11  1.363116233990e-11
gfc    15   10  1.025669708914e-08  1.468289749103e-08  6.988238053396e-12  1.650534883910e-11
gfc    15   11 -1.301745188945e-09  1.851812779551e-08  9.720240233385e-12  1.890042568378e-11
gfc    15   12 -3.242252792655e-08  1.560648365231e-08  9.940527048929e-12  2.396247561553e-11
gfc    15   13 -2.836749480162e-08 -4.584530326282e-09  1.545797735084e-11  1.558000300011e-11
gfc    15   14  5.201698498554e-09 -2.440449007388e-08  1.715124125526e-11  1.382795128275e-11
gfc    15   15 -1.900027066771e-08 -4.710957909392e-09  3.288163294101e-11  2.016263715621e-11
gfc    16    0 -4.750324524560e-09  0.000000000000e+00  2.824737479085e-11  0.000000000000e+00
gfc    16    1  2.615818222666e-08  3.333377859414e-08  3.659271575449e-11  3.893761898030e-11
gfc    16    2 -2.458176968336e-08  2.803547352929e-08  4.494378266556e-11  5.141554552914e-11
gfc    16    3 -3.395396718605e-08 -2.135175161156e-08  4.357022222763e-11  7.544442578659e-12
gfc    16    4  4.085624889827e-08  4.796844770425e-08  1.305733101619e-11  1.682504139142e-11
gfc    16    5 -1.211865949610e-08 -3.424798411227e-09  7.941401721566e-12  1.879661902267e-11
gfc    16    6  1.389438728484e-08 -3.558281375466e-08  2.417080693103e-11  1.228143961353e-11
gfc    16    7 -8.024784812298e-09 -8.630030509041e-09  2.274653830164e-11  3.381669164972e-11
gfc    16    8 -2.120017094616e-08  5.434630301142e-09  1.159592381110e-11  2.600399871119e-11
gfc    16    9 -2.242237509404e-08 -3.966043905479e-08  1.357282072399e-11  1.459371265061e-11
gfc    16   10 -1.182152089071e-08  1.154126320184e-08  1.050605756997e-11  1.132201498086e-11
gfc    16   11  1.909296445968e-08 -3.183563503021e-09  1.059638606944e-11  1.416730050126e-11
gfc    16   12  1.953970032775e-08  6.714651240467e-09  1.508597781790e-11  1.820637594704e-11
gfc    16   13  1.375635313446e-08  1.040316649177e-09  1.020817970741e-11  1.409455293872e-11
gfc    16   14 -1.934808709957e-08 -3.864033332838e-08  6.874545949681e-12  1.358343413668e-11
gfc    16   15 -1.443422162432e-08 -3.278373495266e-08  1.262631089406e-11  1.628239954743e-11
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gfc    60   60  3.798046691367e-09  5.374058749622e-12  2.838157399892e-11  1.198845712485e-11