THE SATELLITE-ONLY GRAVITY FIELD MODEL ITSG-Grace2014k T. Mayer-Guerr, N. Zehentner, B. Klinger, A. Kvas ====================================================== Regularized static field, trend and annual variations from 124 months of GRACE data in the time span 2003-02 to 2013-12. The coefficients represent a mean field of the entire Earth including atmosphere and ocean masses. The reference epoch of this gravity field model is 2008-01-01 (MJD 54466). Static field: complete up to d/o 200, Kaula regularized from degree 121 Linear trend: complete up to d/o 100, Kaula regularized from degree 21 Annual variaions: complete up to d/o 100, Kaula regularized from degree 21 To compute a gravity field functional at an arbitrary time t, the expression V(t) = gfct + trnd * (t-t0)/T + acos*cos( 2pi * (t-t0)/T ) + asin*sin( 2pi * (t-t0)/T ) with t0 as the reference epoch and T as the annual period (365.25 d), has to be used. For additional information on background models and processing details see: http://itsg.tugraz.at/research/ITSG-Grace2014 begin_of_head ========================================================================================================= modelname ITSG-Grace2014k product_type gravity_field earth_gravity_constant 3.9860044150e+14 radius 6.3781363000e+06 max_degree 200 norm fully_normalized tide_system zero_tide errors formal key L M C S sigma C sigma S t0 [yyyymmdd]/period [y] 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 gfct 2 0 -4.841692835234e-04 0.000000000000e+00 1.576449053211e-12 0.000000000000e+00 20080101 trnd 2 0 -9.443496531325e-12 0.000000000000e+00 5.732835834073e-13 0.000000000000e+00 acos 2 0 1.334865947270e-10 0.000000000000e+00 2.113422957586e-12 0.000000000000e+00 1.00e+00 asin 2 0 5.807196201143e-11 0.000000000000e+00 2.011545814182e-12 0.000000000000e+00 1.00e+00 gfct 2 1 -3.423033676070e-10 1.448100565342e-09 8.173943161460e-13 7.804536278314e-13 20080101 trnd 2 1 -2.611975692203e-11 -2.352651051451e-12 2.743741362084e-13 2.620254192966e-13 acos 2 1 -4.499985615800e-12 6.952401121094e-11 1.160466029168e-12 1.103896646312e-12 1.00e+00 asin 2 1 -2.449945635105e-11 -8.047293421881e-12 1.129135591490e-12 1.080912339651e-12 1.00e+00 gfct 2 2 2.439364614203e-06 -1.400310430042e-06 7.090538810242e-13 7.097688248573e-13 20080101 trnd 2 2 6.903090268262e-12 -5.225373680200e-12 2.380757532163e-13 2.389114368365e-13 acos 2 2 -1.423826566749e-11 5.621987715626e-11 1.001731139861e-12 1.003498025216e-12 1.00e+00 asin 2 2 -2.000512285178e-13 -4.583420263328e-11 9.810849392788e-13 9.844730427565e-13 1.00e+00 gfct 3 0 9.571900981788e-07 0.000000000000e+00 4.588151979937e-13 0.000000000000e+00 20080101 trnd 3 0 -4.550106585684e-12 0.000000000000e+00 1.542164275312e-13 0.000000000000e+00 acos 3 0 -1.213390094566e-10 0.000000000000e+00 6.517665741482e-13 0.000000000000e+00 1.00e+00 asin 3 0 7.483266157822e-11 0.000000000000e+00 6.360990272785e-13 0.000000000000e+00 1.00e+00 gfct 3 1 2.030456242151e-06 2.482288637692e-07 5.398988767779e-13 4.786311685349e-13 20080101 trnd 3 1 -3.235556204077e-12 9.215581292662e-12 1.812917624254e-13 1.612845380997e-13 acos 3 1 2.193960913093e-11 3.426670014312e-11 7.691565243170e-13 6.832862870718e-13 1.00e+00 asin 3 1 -3.803208827029e-12 3.777630626139e-11 7.481382714012e-13 6.625648447518e-13 1.00e+00 gfct 3 2 9.047657100367e-07 -6.190048215255e-07 4.841780737297e-13 4.959237450944e-13 20080101 trnd 3 2 -5.545466945462e-12 -4.119285025625e-12 1.637670491151e-13 1.675877393165e-13 acos 3 2 -2.368722873705e-11 3.827927571255e-12 6.890943213020e-13 7.055433960683e-13 1.00e+00 asin 3 2 1.123816858874e-11 6.206736936475e-11 6.691152474690e-13 6.854414908211e-13 1.00e+00 gfct 3 3 7.212934290785e-07 1.414386046665e-06 5.296760826605e-13 5.308181286726e-13 20080101 trnd 3 3 2.472111969802e-12 5.218359386134e-12 1.803695927545e-13 1.807799363189e-13 acos 3 3 5.551027635718e-11 -4.216025285917e-12 7.477579241808e-13 7.494999371450e-13 1.00e+00 asin 3 3 -6.378254460850e-11 5.083442615871e-11 7.294890435996e-13 7.309236358832e-13 1.00e+00 gfct 4 0 5.399933866062e-07 0.000000000000e+00 3.356211387297e-13 0.000000000000e+00 20080101 trnd 4 0 -4.342094819793e-12 0.000000000000e+00 1.119065488847e-13 0.000000000000e+00 acos 4 0 -2.066152208334e-11 0.000000000000e+00 4.770777582726e-13 0.000000000000e+00 1.00e+00 asin 4 0 1.870897453235e-11 0.000000000000e+00 4.656545467777e-13 0.000000000000e+00 1.00e+00 gfct 4 1 -5.361787804399e-07 -4.735732335260e-07 3.444928095524e-13 2.999337618795e-13 20080101 trnd 4 1 -1.109084756764e-11 -2.523550986109e-12 1.149276258819e-13 1.001014113659e-13 acos 4 1 -2.046121284208e-11 3.074615066819e-12 4.898488201972e-13 4.270166617907e-13 1.00e+00 asin 4 1 3.332429809544e-11 6.499244044405e-12 4.779831748494e-13 4.158471793479e-13 1.00e+00 gfct 4 2 3.504928820891e-07 6.624972887112e-07 3.411653745324e-13 3.732425620896e-13 20080101 trnd 4 2 -2.262922552076e-13 4.173786569611e-12 1.139568719682e-13 1.246502130307e-13 acos 4 2 -3.542503142420e-11 -6.728716691817e-12 4.862355480822e-13 5.315259425894e-13 1.00e+00 asin 4 2 -1.207944280413e-11 6.447353336583e-11 4.720433083963e-13 5.168829004913e-13 1.00e+00 gfct 4 3 9.908633871228e-07 -2.009446591681e-07 3.936241306524e-13 4.014225662621e-13 20080101 trnd 4 3 7.497314747460e-13 1.263285529553e-12 1.321345646664e-13 1.347149822508e-13 acos 4 3 -1.055933708106e-12 1.917129334145e-11 5.618406423981e-13 5.728320546272e-13 1.00e+00 asin 4 3 -1.965698028854e-12 1.991297224246e-11 5.405242816929e-13 5.516532656917e-13 1.00e+00 gfct 4 4 -1.884983867958e-07 3.088245809789e-07 3.302657527781e-13 3.347496282186e-13 20080101 trnd 4 4 -1.229523726112e-13 1.884342813061e-12 1.110025219804e-13 1.124707113596e-13 acos 4 4 3.127278609122e-11 -8.660222488559e-12 4.666419662586e-13 4.730274750194e-13 1.00e+00 asin 4 4 -9.037826361063e-11 4.681509448565e-11 4.503590668436e-13 4.568631062055e-13 1.00e+00 gfct 5 0 6.864350351810e-08 0.000000000000e+00 2.359974039989e-13 0.000000000000e+00 20080101 trnd 5 0 -6.802277869178e-12 0.000000000000e+00 7.864645125041e-14 0.000000000000e+00 acos 5 0 4.790558700297e-12 0.000000000000e+00 3.352376117188e-13 0.000000000000e+00 1.00e+00 asin 5 0 -9.610324735856e-11 0.000000000000e+00 3.278853667330e-13 0.000000000000e+00 1.00e+00 gfct 5 1 -6.291453827849e-08 -9.433631883986e-08 2.550179577309e-13 2.263025799502e-13 20080101 trnd 5 1 1.213116847304e-12 1.249408038220e-11 8.496315069120e-14 7.538972917575e-14 acos 5 1 -2.481351557755e-11 4.295060640864e-11 3.621769342140e-13 3.215426242347e-13 1.00e+00 asin 5 1 -1.126506778730e-11 -1.408946545404e-13 3.542867614288e-13 3.142052008935e-13 1.00e+00 gfct 5 2 6.520574706593e-07 -3.233382885263e-07 2.624916892702e-13 2.800150968574e-13 20080101 trnd 5 2 -6.909921303423e-12 3.283403783691e-12 8.748282369481e-14 9.333308576880e-14 acos 5 2 -1.056230185632e-11 -8.318098703476e-12 3.728730025463e-13 3.977619946670e-13 1.00e+00 asin 5 2 -3.895720935335e-11 -3.163770766313e-12 3.643661882064e-13 3.888335783471e-13 1.00e+00 gfct 5 3 -4.518422480240e-07 -2.149450217564e-07 2.910148691150e-13 3.022683312920e-13 20080101 trnd 5 3 3.327368231601e-12 4.539658495500e-12 9.725669936663e-14 1.009858434241e-13 acos 5 3 -1.807039000222e-11 -7.571853425500e-12 4.147811853808e-13 4.306467453681e-13 1.00e+00 asin 5 3 2.053469185298e-11 1.889611304551e-11 4.023114975932e-13 4.181457128881e-13 1.00e+00 gfct 5 4 -2.953198615639e-07 4.981217605018e-08 3.517519635474e-13 3.493725979722e-13 20080101 trnd 5 4 3.976250511905e-12 1.143152417250e-12 1.194786964588e-13 1.186961858859e-13 acos 5 4 -1.357728818094e-11 8.353323457999e-12 4.983152987740e-13 4.949109303438e-13 1.00e+00 asin 5 4 -3.539740267770e-12 -4.270523887035e-11 4.830223393657e-13 4.798133562482e-13 1.00e+00 gfct 5 5 1.748091614011e-07 -6.693640464484e-07 3.962133765318e-13 3.972061136132e-13 20080101 trnd 5 5 3.295700098492e-12 1.666282143691e-12 1.343459821060e-13 1.346931180274e-13 acos 5 5 -1.148372028141e-11 -2.197878071882e-11 5.548428923149e-13 5.561704260107e-13 1.00e+00 asin 5 5 -3.789851290107e-12 2.023565305891e-11 5.402231933874e-13 5.417399540329e-13 1.00e+00 gfct 6 0 -1.499746107740e-07 0.000000000000e+00 1.882780650124e-13 0.000000000000e+00 20080101 trnd 6 0 -5.746724961008e-12 0.000000000000e+00 6.271212684406e-14 0.000000000000e+00 acos 6 0 3.349193081631e-12 0.000000000000e+00 2.673299101175e-13 0.000000000000e+00 1.00e+00 asin 6 0 -3.457817186743e-11 0.000000000000e+00 2.614358059124e-13 0.000000000000e+00 1.00e+00 gfct 6 1 -7.594689272387e-08 2.652349727107e-08 1.951387215870e-13 1.752826936857e-13 20080101 trnd 6 1 -8.489445527035e-12 2.090809021549e-12 6.500504228794e-14 5.838522460106e-14 acos 6 1 -6.236857964005e-12 7.157057740910e-12 2.772640058915e-13 2.490446510356e-13 1.00e+00 asin 6 1 -4.727978517430e-11 8.271941265708e-12 2.710656206203e-13 2.432764612292e-13 1.00e+00 gfct 6 2 4.863318285219e-08 -3.737716406302e-07 2.113114719169e-13 2.055848415697e-13 20080101 trnd 6 2 -3.347355071686e-12 7.079861939925e-12 7.038425079789e-14 6.848884381447e-14 acos 6 2 -5.134756320947e-12 9.800863077971e-13 3.003074536582e-13 2.922941854627e-13 1.00e+00 asin 6 2 -3.622154372979e-11 -7.370385809927e-12 2.933180908513e-13 2.853928448590e-13 1.00e+00 gfct 6 3 5.724963420285e-08 8.981227427345e-09 2.331808722290e-13 2.484734661522e-13 20080101 trnd 6 3 2.933522763610e-12 9.261998284164e-12 7.773817952604e-14 8.282993917086e-14 acos 6 3 3.133099945159e-12 7.615282199024e-12 3.318581616954e-13 3.535002336765e-13 1.00e+00 asin 6 3 -7.380782813873e-12 2.358882444701e-11 3.230115017540e-13 3.444228679450e-13 1.00e+00 gfct 6 4 -8.600209294447e-08 -4.714285335682e-07 2.465955928156e-13 2.510188526168e-13 20080101 trnd 6 4 3.733273230107e-12 -8.848929031347e-13 8.254529848975e-14 8.403179141241e-14 acos 6 4 -2.699518795137e-12 7.863988864549e-12 3.516563759750e-13 3.579459875216e-13 1.00e+00 asin 6 4 1.010659755762e-11 -2.140323178064e-11 3.399228023975e-13 3.461205677642e-13 1.00e+00 gfct 6 5 -2.671650192799e-07 -5.364949926215e-07 3.293428072680e-13 3.308930321895e-13 20080101 trnd 6 5 1.495084190896e-12 -3.904288301846e-13 1.118759287535e-13 1.124212276958e-13 acos 6 5 -3.311402947788e-12 -6.014008634664e-12 4.700651992739e-13 4.722405498865e-13 1.00e+00 asin 6 5 -2.741667624380e-13 -3.828263519904e-11 4.497677804008e-13 4.518895417454e-13 1.00e+00 gfct 6 6 9.477819849313e-09 -2.373833566918e-07 3.146921010381e-13 3.150275609255e-13 20080101 trnd 6 6 4.217422572395e-13 1.367127110727e-12 1.067966953589e-13 1.069242582970e-13 acos 6 6 -1.382677203905e-11 -7.854779744710e-12 4.419563067048e-13 4.424935019908e-13 1.00e+00 asin 6 6 2.317015402256e-11 1.749351873314e-11 4.247799843742e-13 4.252055622727e-13 1.00e+00 gfct 7 0 9.049509057610e-08 0.000000000000e+00 1.581975511248e-13 0.000000000000e+00 20080101 trnd 7 0 -4.357414176166e-12 0.000000000000e+00 5.268324368976e-14 0.000000000000e+00 acos 7 0 -1.551878262620e-11 0.000000000000e+00 2.245690672173e-13 0.000000000000e+00 1.00e+00 asin 7 0 1.955667658033e-11 0.000000000000e+00 2.195843825713e-13 0.000000000000e+00 1.00e+00 gfct 7 1 2.808834096006e-07 9.516131407941e-08 1.561735675235e-13 1.405035305055e-13 20080101 trnd 7 1 -1.137015620091e-12 1.301442187135e-11 5.201689761593e-14 4.678997321472e-14 acos 7 1 5.156299185434e-13 -8.166052702366e-12 2.219882240482e-13 1.997219036133e-13 1.00e+00 asin 7 1 1.048852273991e-12 -1.201518088716e-12 2.168883927985e-13 1.949471375874e-13 1.00e+00 gfct 7 2 3.303879398875e-07 9.302262727160e-08 1.615818934530e-13 1.624611275182e-13 20080101 trnd 7 2 -5.586136978232e-12 7.645492327805e-12 5.381377380486e-14 5.411360765727e-14 acos 7 2 -7.535497204092e-12 4.477708470712e-12 2.297505297524e-13 2.310126327534e-13 1.00e+00 asin 7 2 -3.738479330699e-12 1.219361540302e-11 2.242517437056e-13 2.254889247461e-13 1.00e+00 gfct 7 3 2.504614907630e-07 -2.170967541835e-07 1.917344123617e-13 1.904560481936e-13 20080101 trnd 7 3 1.719900046964e-12 7.448053484950e-12 6.392198506396e-14 6.349421392378e-14 acos 7 3 2.313705603978e-11 -3.830468970457e-12 2.730590303641e-13 2.712344550945e-13 1.00e+00 asin 7 3 -8.202542575087e-12 -1.633674959666e-11 2.656683960178e-13 2.638986528817e-13 1.00e+00 gfct 7 4 -2.749840703342e-07 -1.240491091424e-07 2.114658247193e-13 2.143452649078e-13 20080101 trnd 7 4 4.500739591444e-12 2.436892004097e-12 7.077885054701e-14 7.172256614734e-14 acos 7 4 -2.735441696792e-12 -5.645518834717e-13 2.997123066838e-13 3.038135528794e-13 1.00e+00 asin 7 4 -8.949987215642e-12 2.961134441532e-11 2.924016589920e-13 2.964448874604e-13 1.00e+00 gfct 7 5 1.649457137478e-09 1.792803924779e-08 2.145622096838e-13 2.189835551790e-13 20080101 trnd 7 5 5.279749725377e-13 6.758995289045e-13 7.164854994373e-14 7.313411157800e-14 acos 7 5 4.633210105277e-12 7.528915520901e-13 3.050939550135e-13 3.113943811745e-13 1.00e+00 asin 7 5 1.141794996700e-12 -1.757062719346e-11 2.950309254779e-13 3.012740121473e-13 1.00e+00 gfct 7 6 -3.588002397374e-07 1.517945364799e-07 3.060224992124e-13 3.074949259439e-13 20080101 trnd 7 6 1.829211855825e-12 -7.338067570174e-13 1.032622320258e-13 1.037358429664e-13 acos 7 6 6.466679689891e-12 1.197492088128e-12 4.313645893800e-13 4.336254795839e-13 1.00e+00 asin 7 6 2.513938939000e-12 -1.337478939870e-11 4.172144440739e-13 4.192161766207e-13 1.00e+00 gfct 7 7 1.522974951974e-09 2.410595865787e-08 3.596232327431e-13 3.592730770372e-13 20080101 trnd 7 7 -3.510365199116e-13 -8.404951332357e-13 1.207878990086e-13 1.206927080366e-13 acos 7 7 -4.640213227669e-12 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