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: July 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_1993-07
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 -4.841694620463e-04  0.000000000000e+00  1.912179858785e-11  0.000000000000e+00
gfc     2    1 -1.439142001933e-10  1.297137772194e-09  6.580149573660e-11  6.027947587997e-11
gfc     2    2  2.439288178946e-06 -1.400334390286e-06  1.003974742469e-10  1.111220436490e-10
gfc     3    0  9.571529611915e-07  0.000000000000e+00  1.234635293201e-10  0.000000000000e+00
gfc     3    1  2.030456029145e-06  2.482813745361e-07  1.470303846968e-10  1.531350591730e-10
gfc     3    2  9.047253172274e-07 -6.190931818347e-07  2.358624401577e-10  2.748189467497e-10
gfc     3    3  7.213739689500e-07  1.414081351444e-06  3.365885350051e-10  3.695393680984e-10
gfc     4    0  5.400653679283e-07  0.000000000000e+00  9.514185735727e-11  0.000000000000e+00
gfc     4    1 -5.361287783259e-07 -4.735790622222e-07  9.139289458199e-11  4.177460417979e-11
gfc     4    2  3.504822551532e-07  6.624867559083e-07  5.344660162309e-11  9.040862025022e-11
gfc     4    3  9.908613873239e-07 -2.009263206433e-07  3.516381251774e-11  9.528502427377e-11
gfc     4    4 -1.884782532064e-07  3.088162154237e-07  9.863869865665e-11  1.064515100960e-10
gfc     5    0  6.871988657760e-08  0.000000000000e+00  1.302179990198e-10  0.000000000000e+00
gfc     5    1 -6.290158749925e-08 -9.440967626753e-08  3.591808008766e-11  1.351384723491e-10
gfc     5    2  6.520717686458e-07 -3.233330080552e-07  9.520627647674e-11  3.932325475885e-11
gfc     5    3 -4.518364135541e-07 -2.149622138432e-07  6.674655009574e-11  5.973992104062e-11
gfc     5    4 -2.953672388492e-07  4.984322954592e-08  5.157432342713e-11  6.054869819576e-11
gfc     5    5  1.748057011756e-07 -6.693460915718e-07  3.359460498810e-11  6.124916554582e-11
gfc     6    0 -1.499131996375e-07  0.000000000000e+00  8.032902222105e-11  0.000000000000e+00
gfc     6    1 -7.589448491338e-08  2.651359274874e-08  8.016692709377e-11  2.542395142252e-11
gfc     6    2  4.862588464324e-08 -3.738218548064e-07  4.307539271447e-11  8.247280788208e-11
gfc     6    3  5.723672495518e-08  8.930950141459e-09  4.179136432443e-11  7.154394765027e-11
gfc     6    4 -8.599785870359e-08 -4.714445129502e-07  4.154453530435e-11  3.869891838372e-11
gfc     6    5 -2.671718643631e-07 -5.364803121280e-07  4.018505815278e-11  4.726338999362e-11
gfc     6    6  9.495763188217e-09 -2.374087166355e-07  5.029297316725e-11  7.316418801785e-11
gfc     7    0  9.048960602304e-08  0.000000000000e+00  5.013057281596e-11  0.000000000000e+00
gfc     7    1  2.808694538603e-07  9.511948157933e-08  2.087497281565e-11  1.011234111981e-10
gfc     7    2  3.303979947780e-07  9.298243424167e-08  4.006190462839e-11  5.880197296871e-11
gfc     7    3  2.504393909357e-07 -2.170950902022e-07  4.356272457873e-11  7.202525581637e-11
gfc     7    4 -2.749826979833e-07 -1.240872155404e-07  6.834438005661e-11  4.965455600683e-11
gfc     7    5  1.621283458563e-09  1.791719663684e-08  4.785114406488e-11  2.878994793629e-11
gfc     7    6 -3.588043668162e-07  1.518145948218e-07  4.814468663578e-11  2.976104429811e-11
gfc     7    7  1.548433128692e-09  2.410443277690e-08  3.970310440453e-11  5.320892564085e-11
gfc     8    0  4.951590913242e-08  0.000000000000e+00  3.950202152427e-11  0.000000000000e+00
gfc     8    1  2.314534274810e-08  5.891328334257e-08  6.904020266223e-11  3.444879271027e-11
gfc     8    2  7.999166644136e-08  6.527983320037e-08  4.861593722599e-11  5.272961331175e-11
gfc     8    3 -1.938184874408e-08 -8.594759340772e-08  3.186808683210e-11  8.359857180847e-11
gfc     8    4 -2.443746068107e-07  6.981325212346e-08  4.758488287072e-11  1.579054390891e-11
gfc     8    5 -2.571752147664e-08  8.918263351178e-08  4.875679542849e-11  4.405454356525e-11
gfc     8    6 -6.597540140968e-08  3.089300733427e-07  3.357371892906e-11  1.580252646988e-11
gfc     8    7  6.725543629490e-08  7.485053990276e-08  2.324088557298e-11  5.087883263339e-11
gfc     8    8 -1.240373874396e-07  1.205421443600e-07  4.812266787742e-11  3.040841514738e-11
gfc     9    0  2.802990959109e-08  0.000000000000e+00  4.299852130709e-11  0.000000000000e+00
gfc     9    1  1.421493913103e-07  2.137205727694e-08  2.567875520300e-11  5.722239655038e-11
gfc     9    2  2.141622024023e-08 -3.170721702194e-08  1.557458141551e-11  5.416170915877e-11
gfc     9    3 -1.605942736913e-07 -7.427465426045e-08  4.291537008596e-11  5.416258484295e-11
gfc     9    4 -9.369308176274e-09  1.991537613367e-08  4.526887306858e-11  3.796864299668e-11
gfc     9    5 -1.630834547212e-08 -5.404167101199e-08  2.538930030664e-11  2.347414713487e-11
gfc     9    6  6.277933489264e-08  2.229635254968e-07  1.237658896949e-11  2.667437339524e-11
gfc     9    7 -1.179727651967e-07 -9.690853187345e-08  2.332602041121e-11  2.692439607886e-11
gfc     9    8  1.881290359967e-07 -3.003603627192e-09  2.806636403748e-11  4.070013678743e-11
gfc     9    9 -4.756213464108e-08  9.688874733409e-08  2.046060053701e-11  1.894437429890e-11
gfc    10    0  5.331029642163e-08  0.000000000000e+00  4.866691263848e-11  0.000000000000e+00
gfc    10    1  8.376261647113e-08 -1.310932679424e-07  2.358401696892e-11  1.536713310227e-11
gfc    10    2 -9.400408271618e-08 -5.129904438377e-08  5.121110362879e-11  3.718838346448e-11
gfc    10    3 -6.990941472144e-09 -1.541503928708e-07  4.881395158297e-11  4.404509365528e-11
gfc    10    4 -8.445275316894e-08 -7.903908422879e-08  4.719964873194e-11  2.890311226992e-11
gfc    10    5 -4.928606258604e-08 -5.061767530385e-08  1.101973694639e-11  1.418336862922e-11
gfc    10    6 -3.757155580740e-08 -7.976300507489e-08  3.090241324524e-11  1.269460516424e-11
gfc    10    7  8.280049406989e-09 -3.038484427338e-09  2.997706729282e-11  1.747899298086e-11
gfc    10    8  4.059248910576e-08 -9.169898247748e-08  1.209191769182e-11  2.476803421667e-11
gfc    10    9  1.253685596806e-07 -3.793736162979e-08  2.277710531940e-11  2.660348125079e-11
gfc    10   10  1.004260513316e-07 -2.384768683844e-08  1.326952069156e-11  2.863755871223e-11
gfc    11    0 -5.076545019603e-08  0.000000000000e+00  1.461072373946e-11  0.000000000000e+00
gfc    11    1  1.559455201589e-08 -2.712313029082e-08  2.534052205872e-11  2.311838802897e-11
gfc    11    2  2.012275168827e-08 -9.899900779540e-08  1.743768652721e-11  3.921205701576e-11
gfc    11    3 -3.058534767273e-08 -1.488259346599e-07  2.874307449655e-11  2.656148279099e-11
gfc    11    4 -3.794921406554e-08 -6.376855171538e-08  3.763620547628e-11  2.120851387531e-11
gfc    11    5  3.741220154517e-08  4.957904116697e-08  1.724160367238e-11  3.452945262184e-11
gfc    11    6 -1.566062863196e-09  3.427896451216e-08  1.372415144577e-11  1.416320292648e-11
gfc    11    7  4.660492929739e-09 -8.983164166859e-08  2.017378637650e-11  1.301401564132e-11
gfc    11    8 -6.299027890332e-09  2.455544514066e-08  1.652710158817e-11  1.940107620828e-11
gfc    11    9 -3.107246807523e-08  4.207234333315e-08  1.467565691849e-11  1.097381201116e-11
gfc    11   10 -5.224965773657e-08 -1.842800841490e-08  1.005948880619e-11  3.850558981675e-11
gfc    11   11  4.623604980804e-08 -6.966484393057e-08  3.363286375819e-11  1.911404235581e-11
gfc    12    0  3.644729734722e-08  0.000000000000e+00  3.845247334261e-11  0.000000000000e+00
gfc    12    1 -5.359851480458e-08 -4.315091251173e-08  2.627453837304e-11  3.018981664576e-11
gfc    12    2  1.426738151284e-08  3.110595795091e-08  4.704960944658e-11  2.685084382169e-11
gfc    12    3  3.961250168470e-08  2.506579323883e-08  3.522454255149e-11  2.409030516993e-11
gfc    12    4 -6.773734515477e-08  3.856113344726e-09  2.541930636797e-11  1.969128536149e-11
gfc    12    5  3.086985730455e-08  7.586562962768e-09  2.598625619278e-11  2.288195174226e-11
gfc    12    6  3.123184175847e-09  3.897755977248e-08  2.088671534572e-11  1.418800583488e-11
gfc    12    7 -1.905640538628e-08  3.572558942486e-08  1.783172512216e-11  2.314546806275e-11
gfc    12    8 -2.588490683606e-08  1.692548745576e-08  8.195569300074e-12  2.150309701637e-11
gfc    12    9  4.191385388986e-08  2.496348690361e-08  1.407112614935e-11  1.234333339184e-11
gfc    12   10 -6.202255582523e-09  3.093436530265e-08  1.277324219143e-11  1.414910114823e-11
gfc    12   11  1.136810495198e-08 -6.395595454375e-09  2.232599643917e-11  1.283956637337e-11
gfc    12   12 -2.416616398711e-09 -1.110843095199e-08  2.424789294783e-11  1.078196004742e-11
gfc    13    0  4.173408462831e-08  0.000000000000e+00  1.757366603469e-11  0.000000000000e+00
gfc    13    1 -5.143520328483e-08  3.868136014275e-08  1.199636032554e-11  1.626356660224e-11
gfc    13    2  5.532019843158e-08 -6.269373406157e-08  1.610909448958e-11  2.378763391532e-11
gfc    13    3 -2.155485956581e-08  9.768498123556e-08  2.042295195534e-11  6.680774415477e-12
gfc    13    4 -3.651068811759e-09 -1.174756866506e-08  2.678055475947e-11  2.809165132938e-11
gfc    13    5  5.837542905518e-08  6.723627002754e-08  2.024653353623e-11  1.834147332926e-11
gfc    13    6 -3.504289762561e-08 -6.267203717719e-09  1.754682804666e-11  1.548020034511e-11
gfc    13    7  3.012676393679e-09 -7.311601785256e-09  1.284962890295e-11  2.169188973143e-11
gfc    13    8 -1.005494032454e-08 -9.861314374097e-09  1.720696455285e-11  1.090574157513e-11
gfc    13    9  2.475706851066e-08  4.589406293038e-08  1.289428693508e-11  1.844369489629e-11
gfc    13   10  4.110568154975e-08 -3.683403999256e-08  1.430390321277e-11  1.404557322060e-11
gfc    13   11 -4.452020290113e-08 -4.850560066260e-09  1.146816996466e-11  1.678367151650e-11
gfc    13   12 -3.130981778992e-08  8.794249478223e-08  2.149539811365e-11  8.158306059110e-12
gfc    13   13 -6.120694552621e-08  6.815064190529e-08  8.005544835356e-12  9.927742710883e-12
gfc    14    0 -2.268582627455e-08  0.000000000000e+00  2.274121693869e-11  0.000000000000e+00
gfc    14    1 -1.877142277854e-08  2.885952634863e-08  1.697686646985e-11  1.107257497555e-11
gfc    14    2 -3.592279340264e-08 -4.061118807133e-09  2.081819621329e-11  2.361755113418e-11
gfc    14    3  3.651616436220e-08  1.968878220316e-08  2.762945736762e-11  2.015135958510e-11
gfc    14    4  1.608533169597e-09 -2.267543050680e-08  2.055729548409e-11  2.102740675330e-11
gfc    14    5  2.931575484506e-08 -1.678306259554e-08  1.512126041919e-11  1.857943100314e-11
gfc    14    6 -1.905435891258e-08  2.465996347654e-09  1.733078016162e-11  1.349086487632e-11
gfc    14    7  3.762690234156e-08 -3.931630712412e-09  1.137036110139e-11  8.761274720195e-12
gfc    14    8 -3.493873313959e-08 -1.544082480377e-08  7.625670971221e-12  1.346264745001e-11
gfc    14    9  3.195349930897e-08  2.846573800525e-08  1.060089317816e-11  1.009531946422e-11
gfc    14   10  3.878768850239e-08 -1.286610381206e-09  1.385748195138e-11  1.346915351208e-11
gfc    14   11  1.564676615080e-08 -3.904323125361e-08  7.697127203919e-12  7.129922121313e-12
gfc    14   12  8.458324447974e-09 -3.112486549542e-08  1.852787842701e-11  1.037182490098e-11
gfc    14   13  3.224062248049e-08  4.515122586526e-08  6.454165771243e-12  1.644655672637e-11
gfc    14   14 -5.187670071627e-08 -4.823172234140e-09  1.350701863177e-11  1.140922348971e-11
gfc    15    0  2.191923815281e-09  0.000000000000e+00  1.773759721774e-11  0.000000000000e+00
gfc    15    1  9.427156459253e-09  1.048872750031e-08  1.079645263801e-11  1.274860464768e-11
gfc    15    2 -2.052524779788e-08 -3.029660555398e-08  1.796122130328e-11  1.140712682142e-11
gfc    15    3  5.340875560317e-08  1.766180765235e-08  1.787338605617e-11  1.551836637731e-11
gfc    15    4 -4.017985699469e-08  6.811227080002e-09  1.392142579901e-11  2.193899882105e-11
gfc    15    5  1.224382031290e-08  7.612981442540e-09  9.700637721113e-12  1.429844080156e-11
gfc    15    6  3.285802772721e-08 -3.646374409675e-08  1.979908160642e-11  1.192843843135e-11
gfc    15    7  5.965774730059e-08  5.067709222770e-09  5.582050795315e-12  1.362279187349e-11
gfc    15    8 -3.208132271898e-08  2.217333385798e-08  1.821273319992e-11  7.506420466845e-12
gfc    15    9  1.330996934062e-08  3.798897084564e-08  1.157023298564e-11  8.531166273907e-12
gfc    15   10  1.026207851959e-08  1.469722878199e-08  4.604427961146e-12  9.213982540012e-12
gfc    15   11 -1.301865873940e-09  1.852392435203e-08  5.415503230725e-12  9.563393109475e-12
gfc    15   12 -3.240871803634e-08  1.561245170234e-08  7.731380231309e-12  1.569145670651e-11
gfc    15   13 -2.837286363259e-08 -4.569092784651e-09  8.568337006093e-12  8.322974533587e-12
gfc    15   14  5.199950689541e-09 -2.439002168054e-08  1.228521336467e-11  9.205036569910e-12
gfc    15   15 -1.903249171293e-08 -4.698021188774e-09  2.223683344533e-11  1.277423016309e-11
gfc    16    0 -4.709288116232e-09  0.000000000000e+00  1.899839528804e-11  0.000000000000e+00
gfc    16    1  2.618342757416e-08  3.334419213737e-08  1.983216113117e-11  2.236087304439e-11
gfc    16    2 -2.450698193601e-08  2.804437154732e-08  2.072713608169e-11  2.472626929850e-11
gfc    16    3 -3.391300357195e-08 -2.134024147722e-08  2.197390110191e-11  3.670064226963e-12
gfc    16    4  4.085012427931e-08  4.799961503802e-08  7.282860623510e-12  1.397265145783e-11
gfc    16    5 -1.211914497599e-08 -3.443200727639e-09  5.746599393086e-12  1.031714164038e-11
gfc    16    6  1.387216118630e-08 -3.558932631924e-08  1.270933327649e-11  1.026577476624e-11
gfc    16    7 -8.064806229520e-09 -8.656046276307e-09  1.054745689311e-11  1.957998346437e-11
gfc    16    8 -2.120696951383e-08  5.402621944670e-09  5.712448911841e-12  1.409824025565e-11
gfc    16    9 -2.241074726839e-08 -3.966950047134e-08  7.640643600924e-12  9.053762466169e-12
gfc    16   10 -1.180409611690e-08  1.153671907149e-08  6.571554043678e-12  5.101441595528e-12
gfc    16   11  1.910950039999e-08 -3.202835351286e-09  5.791748851666e-12  7.829710931682e-12
gfc    16   12  1.956146363592e-08  6.722914152238e-09  7.619319747225e-12  1.063382568274e-11
gfc    16   13  1.376999199545e-08  1.051097742427e-09  6.329420274848e-12  7.650204701148e-12
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gfc    60   60  3.800781122063e-09  1.251911996432e-11  1.820986204230e-11  7.774001760446e-12