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: April 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_1993-04
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 -4.841693895082e-04  0.000000000000e+00  2.941783202703e-11  0.000000000000e+00
gfc     2    1 -1.443762023824e-10  1.377095692861e-09  6.221079414374e-11  4.836823782863e-11
gfc     2    2  2.439284003827e-06 -1.400283858465e-06  1.103545755426e-10  1.135784316733e-10
gfc     3    0  9.572599708798e-07  0.000000000000e+00  8.880699847932e-11  0.000000000000e+00
gfc     3    1  2.030525427958e-06  2.484330598947e-07  1.248024467774e-10  1.469024938202e-10
gfc     3    2  9.046945156269e-07 -6.190356305976e-07  2.135837891438e-10  1.669104435924e-10
gfc     3    3  7.212483248798e-07  1.414371307946e-06  2.786846618042e-10  2.969154268130e-10
gfc     4    0  5.400321401306e-07  0.000000000000e+00  9.069024047840e-11  0.000000000000e+00
gfc     4    1 -5.361792696840e-07 -4.735180488825e-07  9.941509742386e-11  1.168423968410e-10
gfc     4    2  3.504995632162e-07  6.624975392006e-07  9.780583955049e-11  1.104480417281e-10
gfc     4    3  9.908461088609e-07 -2.009319119879e-07  1.001673741302e-10  1.240128861935e-10
gfc     4    4 -1.885079491810e-07  3.088442570342e-07  2.042544064733e-10  2.190172011671e-10
gfc     5    0  6.859231251959e-08  0.000000000000e+00  1.496916882531e-10  0.000000000000e+00
gfc     5    1 -6.286177643311e-08 -9.432987082260e-08  5.860679880574e-11  1.564410702812e-10
gfc     5    2  6.520909773821e-07 -3.233284415594e-07  1.163030453007e-10  4.280423465805e-11
gfc     5    3 -4.517844846408e-07 -2.149785404708e-07  8.771350137626e-11  8.097292655331e-11
gfc     5    4 -2.953569902227e-07  4.976132000014e-08  5.637098713565e-11  7.020181579948e-11
gfc     5    5  1.747612816385e-07 -6.692880659639e-07  4.563566785061e-11  8.891586912974e-11
gfc     6    0 -1.499166395246e-07  0.000000000000e+00  9.523914018044e-11  0.000000000000e+00
gfc     6    1 -7.592849147567e-08  2.656235563108e-08  8.640555913440e-11  3.615520815856e-11
gfc     6    2  4.860227513769e-08 -3.737598875573e-07  4.976343375512e-11  9.666351111410e-11
gfc     6    3  5.722643856640e-08  8.987501666979e-09  4.669229504921e-11  7.338957110658e-11
gfc     6    4 -8.598289419945e-08 -4.714911383190e-07  4.847973635025e-11  5.483598732211e-11
gfc     6    5 -2.671570432170e-07 -5.365253621187e-07  4.589891087329e-11  5.860598290367e-11
gfc     6    6  9.458565763618e-09 -2.373378741302e-07  6.991516939629e-11  8.348911745922e-11
gfc     7    0  9.051486682982e-08  0.000000000000e+00  5.051322360757e-11  0.000000000000e+00
gfc     7    1  2.808768304164e-07  9.512617750734e-08  2.439156800628e-11  1.092573279884e-10
gfc     7    2  3.303864951437e-07  9.304347614781e-08  3.909162035035e-11  6.045419810762e-11
gfc     7    3  2.504748449209e-07 -2.171218984825e-07  5.633583223877e-11  7.729048653747e-11
gfc     7    4 -2.750212074761e-07 -1.240078169927e-07  7.374961207875e-11  5.887214925125e-11
gfc     7    5  1.658604861397e-09  1.791523865948e-08  6.286872116759e-11  3.387562972679e-11
gfc     7    6 -3.587447121797e-07  1.517974016329e-07  6.089303431087e-11  3.511611553075e-11
gfc     7    7  1.503166926290e-09  2.411292994115e-08  5.626815378607e-11  6.625674044981e-11
gfc     8    0  4.950419640083e-08  0.000000000000e+00  4.965255010415e-11  0.000000000000e+00
gfc     8    1  2.319745781905e-08  5.890297181864e-08  6.967374034511e-11  4.118151976726e-11
gfc     8    2  7.999291423771e-08  6.527817504722e-08  5.403485478174e-11  5.341258488108e-11
gfc     8    3 -1.937693201055e-08 -8.600593487175e-08  3.435453518227e-11  9.334611978606e-11
gfc     8    4 -2.443458471437e-07  6.980815204646e-08  5.332093370517e-11  2.038128534013e-11
gfc     8    5 -2.569775663890e-08  8.925423962196e-08  5.772976918373e-11  5.290864154030e-11
gfc     8    6 -6.595824954500e-08  3.089270219190e-07  4.723112619536e-11  1.783577777266e-11
gfc     8    7  6.727479590954e-08  7.489056524697e-08  3.424565359603e-11  6.094196405490e-11
gfc     8    8 -1.240451847179e-07  1.205327187571e-07  5.671417241186e-11  3.848463690470e-11
gfc     9    0  2.798601984091e-08  0.000000000000e+00  4.780599550853e-11  0.000000000000e+00
gfc     9    1  1.421505617559e-07  2.137129195300e-08  3.109280166716e-11  6.001350723519e-11
gfc     9    2  2.143366132221e-08 -3.171181787331e-08  1.847701853562e-11  5.113621677253e-11
gfc     9    3 -1.606286438146e-07 -7.426865611084e-08  5.803055030542e-11  5.614656063644e-11
gfc     9    4 -9.354225854360e-09  1.988158371544e-08  4.450100131721e-11  4.233059107002e-11
gfc     9    5 -1.630547198087e-08 -5.401411533110e-08  2.992710970502e-11  2.868123842452e-11
gfc     9    6  6.279165479181e-08  2.229825257940e-07  1.338016094450e-11  3.082919657698e-11
gfc     9    7 -1.179620804122e-07 -9.692509483944e-08  2.960975153447e-11  3.441167714008e-11
gfc     9    8  1.881526539605e-07 -2.985922047271e-09  3.608974995287e-11  4.743204528767e-11
gfc     9    9 -4.757838370161e-08  9.685923569134e-08  2.640531531073e-11  2.475375288862e-11
gfc    10    0  5.335358991114e-08  0.000000000000e+00  5.442027665628e-11  0.000000000000e+00
gfc    10    1  8.374031129054e-08 -1.310879708323e-07  2.379811870854e-11  1.703871896371e-11
gfc    10    2 -9.399079885101e-08 -5.128980548405e-08  5.348786551286e-11  4.173899108865e-11
gfc    10    3 -7.029898694885e-09 -1.541193673981e-07  5.424711626605e-11  4.662316502986e-11
gfc    10    4 -8.448654628473e-08 -7.902841405213e-08  4.995204282552e-11  3.300180828449e-11
gfc    10    5 -4.927142040112e-08 -5.061568573996e-08  1.503261081028e-11  1.784098715429e-11
gfc    10    6 -3.757742005924e-08 -7.977047812088e-08  4.260695161675e-11  1.436835762310e-11
gfc    10    7  8.259523362793e-09 -3.067637163110e-09  3.651600463436e-11  2.117682046096e-11
gfc    10    8  4.059254545319e-08 -9.170100432526e-08  1.329953997447e-11  3.490546327478e-11
gfc    10    9  1.253954868686e-07 -3.792775940600e-08  2.557902922588e-11  3.106675177886e-11
gfc    10   10  1.004246583334e-07 -2.388663133524e-08  1.635554437450e-11  3.839888225952e-11
gfc    11    0 -5.073989701699e-08  0.000000000000e+00  1.764381682977e-11  0.000000000000e+00
gfc    11    1  1.561726777233e-08 -2.713857279183e-08  2.911586122727e-11  2.696748865356e-11
gfc    11    2  2.011704311427e-08 -9.902202957306e-08  2.240990162303e-11  4.398271795937e-11
gfc    11    3 -3.056259084294e-08 -1.488527484165e-07  3.572540153388e-11  3.222391003545e-11
gfc    11    4 -3.798775460565e-08 -6.372950222935e-08  4.087550971455e-11  2.382469765239e-11
gfc    11    5  3.742789137802e-08  4.961392594467e-08  2.299197537409e-11  3.963071758879e-11
gfc    11    6 -1.557805549244e-09  3.426431779657e-08  1.960326003102e-11  1.667743583358e-11
gfc    11    7  4.666342193115e-09 -8.981838344108e-08  2.791857182728e-11  1.857138443464e-11
gfc    11    8 -6.314023219856e-09  2.454839948487e-08  1.702915772098e-11  2.272244052933e-11
gfc    11    9 -3.109064501544e-08  4.206055356350e-08  2.022181704955e-11  1.289212903489e-11
gfc    11   10 -5.225020181178e-08 -1.841180729452e-08  1.114938588641e-11  4.354360164796e-11
gfc    11   11  4.623010704007e-08 -6.968451149058e-08  4.066117681541e-11  2.485294132091e-11
gfc    12    0  3.643912590416e-08  0.000000000000e+00  4.084650630489e-11  0.000000000000e+00
gfc    12    1 -5.357327143221e-08 -4.316370161610e-08  3.047336138246e-11  3.415670375556e-11
gfc    12    2  1.425639667482e-08  3.108621415177e-08  4.794933014001e-11  3.626944296399e-11
gfc    12    3  3.961194316867e-08  2.504967919014e-08  3.441826962609e-11  2.575003894760e-11
gfc    12    4 -6.772874516115e-08  3.831182464029e-09  2.880673035075e-11  2.552638768929e-11
gfc    12    5  3.087636402308e-08  7.605883569056e-09  3.038038927939e-11  2.350516859579e-11
gfc    12    6  3.132305563212e-09  3.896479572035e-08  2.801146582093e-11  2.096176820696e-11
gfc    12    7 -1.904643832274e-08  3.572468185421e-08  2.373351611248e-11  2.716422760591e-11
gfc    12    8 -2.586998532796e-08  1.694568610775e-08  1.125529544035e-11  2.905225333756e-11
gfc    12    9  4.188918827244e-08  2.495927549099e-08  1.676250062500e-11  1.381975568298e-11
gfc    12   10 -6.195839510299e-09  3.093385013235e-08  1.531287477632e-11  1.788163512783e-11
gfc    12   11  1.136766545732e-08 -6.389285409164e-09  2.595228142832e-11  1.597917408647e-11
gfc    12   12 -2.421591922658e-09 -1.110706173612e-08  3.124468902338e-11  1.425078770151e-11
gfc    13    0  4.173931394430e-08  0.000000000000e+00  2.036236735939e-11  0.000000000000e+00
gfc    13    1 -5.143699247636e-08  3.867911282148e-08  1.377993634407e-11  1.925653661998e-11
gfc    13    2  5.532869243663e-08 -6.270070693597e-08  1.690040472478e-11  2.510489587879e-11
gfc    13    3 -2.155528128926e-08  9.768142106834e-08  2.435098943098e-11  8.589801441323e-12
gfc    13    4 -3.651582686017e-09 -1.176282828484e-08  2.660611097907e-11  3.174776490853e-11
gfc    13    5  5.836988644762e-08  6.722797958580e-08  2.571446616510e-11  2.200750006571e-11
gfc    13    6 -3.503187806462e-08 -6.285524142632e-09  1.966434835166e-11  2.006472983171e-11
gfc    13    7  3.005741817347e-09 -7.331685669219e-09  1.482851861039e-11  2.789335483023e-11
gfc    13    8 -1.002848696366e-08 -9.838316646798e-09  2.276671830053e-11  1.517672757736e-11
gfc    13    9  2.476524810882e-08  4.589544621303e-08  1.506436507472e-11  2.100918114215e-11
gfc    13   10  4.110497051781e-08 -3.684585313286e-08  1.700831746528e-11  1.639075456719e-11
gfc    13   11 -4.450273282209e-08 -4.838096068029e-09  1.698622410509e-11  2.289123598225e-11
gfc    13   12 -3.130038129653e-08  8.796066588205e-08  2.466393695712e-11  1.272942805793e-11
gfc    13   13 -6.119885995194e-08  6.816367727765e-08  9.095948003900e-12  1.143910930472e-11
gfc    14    0 -2.266575699360e-08  0.000000000000e+00  2.802619266368e-11  0.000000000000e+00
gfc    14    1 -1.878238780474e-08  2.887199855240e-08  1.750239029397e-11  1.287687937993e-11
gfc    14    2 -3.590679220161e-08 -4.055387150972e-09  2.207268491939e-11  2.700851300728e-11
gfc    14    3  3.650562145417e-08  1.969418799050e-08  2.850055647496e-11  2.296380885092e-11
gfc    14    4  1.609728012677e-09 -2.266646588817e-08  2.173902380432e-11  2.505785049878e-11
gfc    14    5  2.931466007550e-08 -1.679499967550e-08  2.013011571155e-11  2.147162039178e-11
gfc    14    6 -1.906016384600e-08  2.453815276499e-09  2.262342555092e-11  1.517455797579e-11
gfc    14    7  3.761691505025e-08 -3.932221985388e-09  1.235125432151e-11  1.182192596231e-11
gfc    14    8 -3.494414177655e-08 -1.543593887388e-08  7.998283644739e-12  1.851233547912e-11
gfc    14    9  3.196432005022e-08  2.847097023921e-08  1.176260399350e-11  1.167090268414e-11
gfc    14   10  3.877720754055e-08 -1.291751270809e-09  1.800593232533e-11  1.869186197821e-11
gfc    14   11  1.566183651941e-08 -3.905041740957e-08  9.817062736008e-12  1.037085747174e-11
gfc    14   12  8.462882313645e-09 -3.113204033358e-08  2.239139750343e-11  1.265258381837e-11
gfc    14   13  3.223458481750e-08  4.515204830391e-08  9.208801572554e-12  1.827241715023e-11
gfc    14   14 -5.186549146382e-08 -4.834405434752e-09  1.593249557159e-11  1.684405474566e-11
gfc    15    0  2.208818700315e-09  0.000000000000e+00  2.001536172780e-11  0.000000000000e+00
gfc    15    1  9.433544326211e-09  1.049266821728e-08  1.236076206809e-11  1.513339755298e-11
gfc    15    2 -2.050719377379e-08 -3.029007954979e-08  2.509664191960e-11  1.351196730011e-11
gfc    15    3  5.341778825183e-08  1.765631146199e-08  2.177657058723e-11  1.496292693017e-11
gfc    15    4 -4.017210915091e-08  6.822046541656e-09  1.436535406021e-11  2.381830154083e-11
gfc    15    5  1.223584877448e-08  7.617023546275e-09  1.136047295562e-11  1.562445901261e-11
gfc    15    6  3.285468785044e-08 -3.646371393355e-08  2.263547217469e-11  1.351505164628e-11
gfc    15    7  5.965870245354e-08  5.086819078460e-09  6.320561712408e-12  1.799375174675e-11
gfc    15    8 -3.209679758708e-08  2.218636271719e-08  2.098291052882e-11  1.066125101528e-11
gfc    15    9  1.330316106201e-08  3.798464174958e-08  1.387673283300e-11  1.056278939534e-11
gfc    15   10  1.026200906426e-08  1.469567088701e-08  5.142804203537e-12  1.133468390206e-11
gfc    15   11 -1.294552767999e-09  1.852368522627e-08  6.290723252134e-12  1.133542973090e-11
gfc    15   12 -3.240557551104e-08  1.560383832494e-08  1.025971266850e-11  1.907897246376e-11
gfc    15   13 -2.837197284147e-08 -4.573695975079e-09  1.033605495557e-11  1.045299970435e-11
gfc    15   14  5.195658532256e-09 -2.438430546348e-08  1.396169682348e-11  1.086357649318e-11
gfc    15   15 -1.901955141526e-08 -4.696576844809e-09  2.603265055897e-11  1.691711799453e-11
gfc    16    0 -4.725485021847e-09  0.000000000000e+00  2.234181672382e-11  0.000000000000e+00
gfc    16    1  2.618101796851e-08  3.333917603179e-08  2.110641122219e-11  2.539281923021e-11
gfc    16    2 -2.451168301920e-08  2.804479613746e-08  2.320656806262e-11  2.854545983849e-11
gfc    16    3 -3.390820437127e-08 -2.134446962035e-08  2.219222349448e-11  4.666397151558e-12
gfc    16    4  4.085543284256e-08  4.798460960100e-08  8.832070837448e-12  1.823871944391e-11
gfc    16    5 -1.211888812966e-08 -3.443569627498e-09  6.557196240834e-12  1.247232048124e-11
gfc    16    6  1.386427806646e-08 -3.559643630792e-08  1.535246444974e-11  1.295670439255e-11
gfc    16    7 -8.061935847131e-09 -8.652343034393e-09  1.328605838954e-11  2.180867674469e-11
gfc    16    8 -2.120768111093e-08  5.427392011316e-09  5.851769475611e-12  1.933246628840e-11
gfc    16    9 -2.241133802554e-08 -3.966983283988e-08  8.434180703291e-12  1.134949369298e-11
gfc    16   10 -1.181225259731e-08  1.153836899596e-08  8.014999596537e-12  6.448499957660e-12
gfc    16   11  1.910692885163e-08 -3.202972232815e-09  7.120284819644e-12  9.390254214518e-12
gfc    16   12  1.955993177557e-08  6.732213678540e-09  9.965353730140e-12  1.187087072704e-11
gfc    16   13  1.376072733442e-08  1.047656596816e-09  8.269441071071e-12  9.264538349481e-12
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gfc    60   59 -2.480509531296e-09  8.461212150946e-10  1.301796314073e-11  1.983561056048e-11
gfc    60   60  3.811452650813e-09  7.543637790581e-12  2.141494796575e-11  8.886627431476e-12