static field from 2002-08 to 2007-04 of GRACE data GRACE data only, unconstrained http://www.geod.uni-bonn.de/itg-grace03.html Detailed description of the method (only in german): Torsten Mayer-Gürr (2006) "Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE" Dissertation, University of Bonn, http://hss.ulb.uni-bonn.de/diss_online/landw_fak/2006/mayer-guerr_torsten product_type gravity_field modelname ITG-Grace03 earth_gravity_constant 3.986004415000e+14 radius 6.378136600000e+06 max_degree 180 errors formal norm fully_normalized tide_system zero_tide url http://www.geod.uni-bonn.de/itg-grace03.html 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 -4.841692718699e-04 0.000000000000e+00 6.469883774458e-13 0.000000000000e+00 gfc 2 1 -2.654790999243e-10 1.475393314283e-09 6.108979511966e-13 6.355307212507e-13 gfc 2 2 2.439383367978e-06 -1.400273635220e-06 6.254221806143e-13 6.423410956098e-13 gfc 3 0 9.571610348416e-07 0.000000000000e+00 4.908157850872e-13 0.000000000000e+00 gfc 3 1 2.030461736678e-06 2.482003394707e-07 4.904543816334e-13 5.118675157415e-13 gfc 3 2 9.047877724984e-07 -6.190053685183e-07 5.459595906001e-13 5.482674767117e-13 gfc 3 3 7.213217237276e-07 1.414349090196e-06 5.163836126113e-13 5.163483433061e-13 gfc 4 0 5.399657665980e-07 0.000000000000e+00 3.758481731782e-13 0.000000000000e+00 gfc 4 1 -5.361573220519e-07 -4.735672404588e-07 3.874699557956e-13 3.973550735355e-13 gfc 4 2 3.505015650151e-07 6.624798955603e-07 4.501829959710e-13 4.398486563277e-13 gfc 4 3 9.908565738322e-07 -2.009566568843e-07 4.776067657084e-13 4.766590461153e-13 gfc 4 4 -1.885196275153e-07 3.088038091544e-07 4.556511148108e-13 4.565287154679e-13 gfc 5 0 6.867029195170e-08 0.000000000000e+00 2.444626602968e-13 0.000000000000e+00 gfc 5 1 -6.292117216708e-08 -9.436975416042e-08 2.510438328896e-13 2.640391465060e-13 gfc 5 2 6.520778871165e-07 -3.233531382072e-07 3.211108950842e-13 3.059874805871e-13 gfc 5 3 -4.518470868369e-07 -2.149553730716e-07 3.968537654164e-13 3.937915496655e-13 gfc 5 4 -2.953286884619e-07 4.980706030811e-08 4.477790066430e-13 4.452626328668e-13 gfc 5 5 1.748117524182e-07 -6.693798013908e-07 4.181955495727e-13 4.182703189706e-13 gfc 6 0 -1.499538708032e-07 0.000000000000e+00 1.692567332428e-13 0.000000000000e+00 gfc 6 1 -7.592097263211e-08 2.651225690410e-08 1.734513657140e-13 1.824691505370e-13 gfc 6 2 4.864888434808e-08 -3.737892309723e-07 2.165420365150e-13 2.051016570600e-13 gfc 6 3 5.724519685722e-08 8.951999198185e-09 2.811310587833e-13 2.784429191528e-13 gfc 6 4 -8.602378737794e-08 -4.714253850102e-07 3.770979687881e-13 3.732821101492e-13 gfc 6 5 -2.671663465314e-07 -5.364929697720e-07 4.238561538894e-13 4.241571548291e-13 gfc 6 6 9.470682530928e-09 -2.373822674270e-07 3.934017765025e-13 3.931087798408e-13 gfc 7 0 9.051205968980e-08 0.000000000000e+00 1.269669549029e-13 0.000000000000e+00 gfc 7 1 2.808874596353e-07 9.512590111402e-08 1.285563873915e-13 1.364106883368e-13 gfc 7 2 3.304078916303e-07 9.299690048420e-08 1.578883816879e-13 1.492484663133e-13 gfc 7 3 2.504583338655e-07 -2.171182290284e-07 1.993254532100e-13 1.981806188259e-13 gfc 7 4 -2.749938603788e-07 -1.240583392835e-07 2.787684541364e-13 2.739807212124e-13 gfc 7 5 1.647713254522e-09 1.792817621167e-08 3.600002085891e-13 3.604944628857e-13 gfc 7 6 -3.587983204377e-07 1.517982021226e-07 4.143988050250e-13 4.136737118294e-13 gfc 7 7 1.507449035905e-09 2.410689505509e-08 3.763991500207e-13 3.762710184196e-13 gfc 8 0 4.947558160194e-08 0.000000000000e+00 1.008070794333e-13 0.000000000000e+00 gfc 8 1 2.316078985704e-08 5.889742850574e-08 1.011853943136e-13 1.081168323792e-13 gfc 8 2 8.001432871240e-08 6.528048586459e-08 1.218256229334e-13 1.149784927224e-13 gfc 8 3 -1.937454737746e-08 -8.596391497464e-08 1.519091040059e-13 1.508019277609e-13 gfc 8 4 -2.443604155597e-07 6.980723777795e-08 2.117180527637e-13 2.084086051882e-13 gfc 8 5 -2.570115216113e-08 8.920344989462e-08 2.617699666515e-13 2.623634096578e-13 gfc 8 6 -6.596482739927e-08 3.089466011980e-07 3.515464656460e-13 3.502490907528e-13 gfc 8 7 6.725694335569e-08 7.486854514632e-08 4.062032981667e-13 4.064982174744e-13 gfc 8 8 -1.240227029312e-07 1.205518135376e-07 3.666843810477e-13 3.668979639452e-13 gfc 9 0 2.801806365927e-08 0.000000000000e+00 8.256756667589e-14 0.000000000000e+00 gfc 9 1 1.421513154118e-07 2.140045754132e-08 8.215856873541e-14 8.786426517731e-14 gfc 9 2 2.141442925764e-08 -3.169840384625e-08 9.752727439071e-14 9.211933701245e-14 gfc 9 3 -1.606122875826e-07 -7.426585069464e-08 1.185929552241e-13 1.175444393669e-13 gfc 9 4 -9.365298881938e-09 1.990266702042e-08 1.703021822688e-13 1.673319781778e-13 gfc 9 5 -1.631339305786e-08 -5.403946009796e-08 2.059253487181e-13 2.065014031888e-13 gfc 9 6 6.278792057597e-08 2.229622696849e-07 2.571550194150e-13 2.558125394402e-13 gfc 9 7 -1.179838447706e-07 -9.692220302366e-08 3.466918829538e-13 3.472512505153e-13 gfc 9 8 1.881361144996e-07 -3.005401465835e-09 4.056920983667e-13 4.051243711391e-13 gfc 9 9 -4.755679363509e-08 9.688040164713e-08 3.597800385642e-13 3.595944926459e-13 gfc 10 0 5.333041024440e-08 0.000000000000e+00 7.042675935053e-14 0.000000000000e+00 gfc 10 1 8.376227299495e-08 -1.310922691075e-07 6.968350009314e-14 7.483159347000e-14 gfc 10 2 -9.398943201040e-08 -5.127465367572e-08 8.152870402632e-14 7.690196619712e-14 gfc 10 3 -7.007095725014e-09 -1.541398577463e-07 9.678502113630e-14 9.595666313506e-14 gfc 10 4 -8.447150830351e-08 -7.902551133624e-08 1.370678752753e-13 1.346704576951e-13 gfc 10 5 -4.928937597446e-08 -5.061370948755e-08 1.707998661915e-13 1.710522157078e-13 gfc 10 6 -3.758488334320e-08 -7.976881818077e-08 2.115919499996e-13 2.105632208895e-13 gfc 10 7 8.262097428310e-09 -3.049020204715e-09 2.527288781787e-13 2.533511359397e-13 gfc 10 8 4.059813898397e-08 -9.171381514421e-08 3.467779680629e-13 3.460064121646e-13 gfc 10 9 1.253765702101e-07 -3.794363004378e-08 4.066286662190e-13 4.067288335723e-13 gfc 10 10 1.004359078886e-07 -2.385962738518e-08 3.584490108993e-13 3.590324495991e-13 gfc 11 0 -5.076835237295e-08 0.000000000000e+00 5.998329256234e-14 0.000000000000e+00 gfc 11 1 1.561276171663e-08 -2.712351939989e-08 5.892686299768e-14 6.354431823403e-14 gfc 11 2 2.011351398402e-08 -9.900034353134e-08 6.805422762359e-14 6.398756595917e-14 gfc 11 3 -3.057733953032e-08 -1.488352660707e-07 7.859140550588e-14 7.797670260897e-14 gfc 11 4 -3.794988363478e-08 -6.376695504858e-08 1.113882964787e-13 1.095331802086e-13 gfc 11 5 3.741922257293e-08 4.959079788334e-08 1.362688627331e-13 1.363446839105e-13 gfc 11 6 -1.564282544045e-09 3.427349770951e-08 1.771390084127e-13 1.761220839906e-13 gfc 11 7 4.654616738807e-09 -8.982517727529e-08 2.079721841548e-13 2.083471436797e-13 gfc 11 8 -6.301749163983e-09 2.454465082121e-08 2.462275145098e-13 2.456909932784e-13 gfc 11 9 -3.107278504749e-08 4.206826925412e-08 3.404479659124e-13 3.405675508350e-13 gfc 11 10 -5.224448221356e-08 -1.842162596152e-08 3.991032764708e-13 3.993818962958e-13 gfc 11 11 4.623401786154e-08 -6.967110342636e-08 3.509209571569e-13 3.506066770865e-13 gfc 12 0 3.643617143586e-08 0.000000000000e+00 5.346603661680e-14 0.000000000000e+00 gfc 12 1 -5.358559825254e-08 -4.316558054314e-08 5.228747885521e-14 5.660870359269e-14 gfc 12 2 1.426658574919e-08 3.109370258724e-08 5.987835202276e-14 5.623340931141e-14 gfc 12 3 3.962110396040e-08 2.506224712451e-08 6.774391235708e-14 6.723653435900e-14 gfc 12 4 -6.772842603494e-08 3.838236263389e-09 9.401319211221e-14 9.250797425270e-14 gfc 12 5 3.087752489460e-08 7.590656337144e-09 1.169554472092e-13 1.170167843478e-13 gfc 12 6 3.134208877837e-09 3.898016917540e-08 1.487066191660e-13 1.478466737102e-13 gfc 12 7 -1.905180125051e-08 3.572684734784e-08 1.809307303106e-13 1.811384202092e-13 gfc 12 8 -2.588667704911e-08 1.693624504438e-08 2.148204375161e-13 2.145060810537e-13 gfc 12 9 4.191472888466e-08 2.496254732180e-08 2.492025995424e-13 2.491593427795e-13 gfc 12 10 -6.199549651561e-09 3.093982469594e-08 3.453376155439e-13 3.461213298373e-13 gfc 12 11 1.136450867062e-08 -6.385558842518e-09 4.076406728979e-13 4.076655574655e-13 gfc 12 12 -2.423737459502e-09 -1.109933326549e-08 3.519758778908e-13 3.520186374651e-13 gfc 13 0 4.172927706898e-08 0.000000000000e+00 4.867963375491e-14 0.000000000000e+00 gfc 13 1 -5.144206944594e-08 3.869102280501e-08 4.733929240464e-14 5.137530531093e-14 gfc 13 2 5.531182014329e-08 -6.269430908670e-08 5.393092424836e-14 5.059685500162e-14 gfc 13 3 -2.155702209733e-08 9.768660644264e-08 5.979940509965e-14 5.936865089302e-14 gfc 13 4 -3.651277198888e-09 -1.175126304021e-08 8.168467379674e-14 8.041055115640e-14 gfc 13 5 5.837019470390e-08 6.722442633523e-08 9.987760509423e-14 9.996776600934e-14 gfc 13 6 -3.504452836585e-08 -6.273565471987e-09 1.322830734532e-13 1.315373262207e-13 gfc 13 7 3.014118105469e-09 -7.320685975637e-09 1.536206666135e-13 1.537585020303e-13 gfc 13 8 -1.005322128095e-08 -9.857862030832e-09 1.896375889497e-13 1.893604490672e-13 gfc 13 9 2.477025894758e-08 4.588753517532e-08 2.225680540124e-13 2.224535707773e-13 gfc 13 10 4.110798191976e-08 -3.684036326519e-08 2.517828038690e-13 2.524790400356e-13 gfc 13 11 -4.452127994047e-08 -4.841450144775e-09 3.531265211332e-13 3.534324287541e-13 gfc 13 12 -3.131304508370e-08 8.793760026309e-08 4.145999471209e-13 4.144232801308e-13 gfc 13 13 -6.120041252393e-08 6.815010876092e-08 3.646550779838e-13 3.646938212115e-13 gfc 14 0 -2.266809985060e-08 0.000000000000e+00 4.478631808174e-14 0.000000000000e+00 gfc 14 1 -1.877247568366e-08 2.886018570818e-08 4.348112018663e-14 4.731037900641e-14 gfc 14 2 -3.591864845723e-08 -4.053266691404e-09 4.919958355853e-14 4.609570594839e-14 gfc 14 3 3.651402181871e-08 1.969417946675e-08 5.379896759416e-14 5.344065492603e-14 gfc 14 4 1.601838228180e-09 -2.266249929562e-08 7.172521289372e-14 7.062269227767e-14 gfc 14 5 2.930924498878e-08 -1.678941265089e-08 8.817921155291e-14 8.827967419956e-14 gfc 14 6 -1.906742782546e-08 2.456607900188e-09 1.144843944405e-13 1.138000545253e-13 gfc 14 7 3.762972594629e-08 -3.933642796467e-09 1.394155543764e-13 1.395129595702e-13 gfc 14 8 -3.494173117749e-08 -1.544754813337e-08 1.629300296346e-13 1.626968651423e-13 gfc 14 9 3.195175399502e-08 2.846420574576e-08 1.971030627991e-13 1.969456961119e-13 gfc 14 10 3.880080090561e-08 -1.293520194593e-09 2.313994160795e-13 2.316001182273e-13 gfc 14 11 1.564754672275e-08 -3.904033772184e-08 2.591844011611e-13 2.593263196419e-13 gfc 14 12 8.463141872523e-09 -3.112108849976e-08 3.603006124738e-13 3.601440379732e-13 gfc 14 13 3.224363329900e-08 4.514727072137e-08 4.254490803193e-13 4.251869490173e-13 gfc 14 14 -5.186499710201e-08 -4.816170344822e-09 3.639653532115e-13 3.639971500149e-13 gfc 15 0 2.192159107986e-09 0.000000000000e+00 4.169539104904e-14 0.000000000000e+00 gfc 15 1 9.429421870216e-09 1.048331894589e-08 4.036772335169e-14 4.400301614285e-14 gfc 15 2 -2.053028476995e-08 -3.030071186088e-08 4.549034210727e-14 4.256917326379e-14 gfc 15 3 5.341625303460e-08 1.766340921992e-08 4.902906164938e-14 4.872447552275e-14 gfc 15 4 -4.017214693705e-08 6.813425539431e-09 6.430507738508e-14 6.334142835839e-14 gfc 15 5 1.224244772061e-08 7.620744412546e-09 7.791715516410e-14 7.802535423629e-14 gfc 15 6 3.285221678738e-08 -3.646908776462e-08 1.036251802647e-13 1.030223044526e-13 gfc 15 7 5.965405394218e-08 5.073934527693e-09 1.219753438956e-13 1.220593176535e-13 gfc 15 8 -3.208747879092e-08 2.217291611627e-08 1.513791401984e-13 1.511676908753e-13 gfc 15 9 1.329998616731e-08 3.799145580877e-08 1.698604122379e-13 1.697073666086e-13 gfc 15 10 1.026390261973e-08 1.469062921677e-08 2.059617324450e-13 2.062435773386e-13 gfc 15 11 -1.304634625285e-09 1.852104292437e-08 2.437689105606e-13 2.437844488866e-13 gfc 15 12 -3.241467983651e-08 1.560804011395e-08 2.631882738456e-13 2.630084681127e-13 gfc 15 13 -2.836503198517e-08 -4.575528880053e-09 3.706099811089e-13 3.698294027908e-13 gfc 15 14 5.198657633749e-09 -2.439503492482e-08 4.376119472817e-13 4.380449258008e-13 gfc 15 15 -1.904435502441e-08 -4.699420786233e-09 4.137056037869e-13 4.133121738587e-13 gfc 16 0 -4.710373000004e-09 0.000000000000e+00 3.928399622419e-14 0.000000000000e+00 gfc 16 1 2.618522564136e-08 3.334234457986e-08 3.793450873048e-14 4.142321483866e-14 gfc 16 2 -2.451176672066e-08 2.803146173486e-08 4.261854512297e-14 3.984176385150e-14 gfc 16 3 -3.391471394597e-08 -2.134009336751e-08 4.538803136323e-14 4.512206492770e-14 gfc 16 4 4.085398907940e-08 4.798771151788e-08 5.822949335432e-14 5.736249089210e-14 gfc 16 5 -1.212092388248e-08 -3.442840287954e-09 7.044030298085e-14 7.055683420318e-14 gfc 16 6 1.387471902720e-08 -3.559687368046e-08 9.227663285846e-14 9.171953081251e-14 gfc 16 7 -8.061886506113e-09 -8.651776985889e-09 1.124402973153e-13 1.125091189645e-13 gfc 16 8 -2.120440013229e-08 5.407170120915e-09 1.335949603970e-13 1.334057895136e-13 gfc 16 9 -2.241518160331e-08 -3.966862172732e-08 1.597361060681e-13 1.595552539687e-13 gfc 16 10 -1.180645559922e-08 1.153743095883e-08 1.790112720950e-13 1.791645718714e-13 gfc 16 11 1.911183674333e-08 -3.200537784380e-09 2.177012934573e-13 2.178462134865e-13 gfc 16 12 1.956316451739e-08 6.725400978547e-09 2.536797670627e-13 2.535380764032e-13 gfc 16 13 1.377437654687e-08 1.047450938645e-09 2.701222462618e-13 2.694882745712e-13 gfc 16 14 -1.934515988697e-08 -3.865221710720e-08 3.790410913227e-13 3.799675417135e-13 gfc 16 15 -1.441953701748e-08 -3.277599845065e-08 4.548768677971e-13 4.548716858677e-13 gfc 16 16 -3.829925812764e-08 2.958680039905e-09 3.826617696714e-13 3.829368203684e-13 gfc 17 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