Gravity field model POEM-L1 Reference: R. Diedrich, G. Gendt (1989) A Gravity Field Model from LAGEOS Based on Point Masses (POEM-L1). Proceedings of the 6th International Symposium "Geodesy and Physics of the Earth", GDR, Potsdam, August 22 -27, 1989 Veröffentlichungen des Zentralinstituts Physik der Erde Nr. 102, Part 2. !! The original estimated point masses !! Coordinates in units of Earth radius Masses in units of Earth gravity constant The first 4 masses represent the mass of the Earth and the flattening X[R] Y[R] Z[R] M[GM] ================================================================ 0.0 0.0 0.00232198947 -66.75502195 0.0 0.0 -0.00466249241 -33.24497805 0.0 0.0 0.0 100.00000000 0.0 0.0 0.0 -1.12478271e-6 -0.03091647 -0.03825675 0.89905777 0.26434589e-6 -0.21898278 0.40299749 0.76265564 -0.32476566e-6 -0.30980759 -0.25507156 0.71042076 2.33680035e-6 -0.41560249 0.19614976 0.67624113 1.22151567e-6 0.20550109 -0.13979503 0.66115045 7.33392582e-6 0.00936872 -0.34417242 0.65187833 -6.16029592e-6 -0.49126417 -0.17465094 0.64175950 1.44445059e-6 0.24783491 0.41934422 0.63367255 2.05814385e-6 0.55239449 0.15660396 0.61379885 1.16886462e-6 0.40308854 0.10222966 0.55883479 -5.32315917e-6 0.31126292 0.45869962 0.55554780 -5.63284465e-6 0.57540743 -0.38653651 0.53295342 0.78047103e-6 -0.17701807 -0.46227166 0.49167781 11.51293153e-6 -0.53652776 0.16288297 4.47113615 -2.83738593e-6 -0.30127224 0.37721474 0.43669394 10.14133479e-6 0.41971268 0.70251528 0.41419209 2.81541833e-6 -0.04047954 0.45323646 0.37618863 -20.28210665e-6 0.59784890 -0.28398710 0.36308728 -3.51153688e-6 0.48764136 0.55212153 0.36055080 -3.76019485e-6 0.59910600 0.32279645 0.35524931 -3.46347016e-6 -0.67620645 0.48873893 0.33399041 0.23894832e-6 0.37032208 0.41870726 0.33313859 24.37227259e-6 -0.44219299 -0.42805147 0.33029770 9.80540128e-6 0.80694390 -0.02503858 0.31909956 -0.45657080e-6 -0.68742346 -0.19072962 0.29450892 2.15629539e-6 -0.27095883 -0.35484982 0.28495467 -50.49571982e-6 -0.09124126 -0.59744213 0.22146788 10.07119237e-6 0.35746291 -0.23021395 0.21407169 40.26696792e-6 0.39784295 0.68729004 0.21402384 -1.18441071e-6 0.22881256 -0.44169185 0.13379864 -47.01573010e-6 -0.42658879 0.71596998 0.12094230 1.33999674e-6 0.16881973 -0.65768258 0.05001880 16.32363615e-6 -0.06828015 0.78588216 0.04635578 3.26719620e-6 0.49727218 0.69809454 0.04434223 -8.98452711e-6 -0.52495482 -0.37770350 -0.00189175 9.93078353e-6 0.60143125 0.63799155 -0.01516987 -0.66192887e-6 -0.29370554 0.78917993 -0.03693428 1.58453336e-6 0.77737580 0.30969505 -0.04046316 -1.68776441e-6 0.06538622 -0.70880228 -0.09143593 -4.52768841e-6 -0.44117995 0.37452632 -0.11134059 15.92841186e-6 -0.21389846 -0.56571578 -0.13605268 5.10794735e-6 0.85060805 0.03452125 -0.16314741 -0.76098315e-6 0.60076664 0.18500108 -0.17642314 4.77736600e-6 0.28077017 -0.78611061 -0.17793424 0.96099787e-6 -0.45195217 -0.34783115 -0.18747316 -6.19858633e-6 0.78933916 -0.34311124 -0.20294570 -0.52282395e-6 0.64547409 0.49538389 -0.23072037 -1.02863262e-6 -0.11475806 0.38618306 -0.23584466 -24.95947460e-6 0.29617572 0.72588646 -0.31551979 0.83534024e-6 0.34439496 -0.73929192 -0.31880287 0.85128530e-6 -0.67523563 0.07531701 -0.32460033 3.27337787e-6 -0.57753269 0.57576628 -0.37346717 -0.32013614e-6 0.77117329 -0.15990049 -0.40155640 -0.18908392e-6 -0.67673899 0.21932926 -0.43341767 -0.96231358e-6 0.03770777 0.42871341 -0.44505304 9.99645881e-6 -0.17171771 0.68152922 -0.46373011 -0.60688076e-6 0.21874576 -0.52358814 -0.48427753 3.77953017e-6 0.32870861 -0.34171071 -0.49563800 -7.84618829e-6 -0.43467186 0.54528630 -0.49844390 -0.85707527e-6 0.47632593 -0.13390025 -0.49876093 4.42485218e-6 0.62184335 0.01273509 -0.50065194 -1.61500429e-6 0.05076759 -0.67203700 -0.53900134 -0.46724169e-6 0.41014376 0.42586269 -0.64109066 0.56258590e-6 0.26090032 -0.32027211 -0.70808931 2.11506792e-6 -0.32122637 -0.24158864 -0.70957275 1.33252599e-6 -0.24253066 -0.16490348 -0.72971651 -2.12208208e-6 -0.46701659 -0.0282031$ -0.74769976 -0.38115210e-6 0.09868695 0.16935682 -0.78628617 2.04588850e-6 -0.18731348 0.13814358 -0.82455419 -0.69503138e-6 0.03458882 -0.26183815 -0.84788774 0.34626674e-6 Gravity field model POEM-L1 expressed in spherical harmonic coefficients begin_of_head ================================================= product_type gravity_field modelname POEM-L1 earth_gravity_constant 0.39860044E+15 radius 0.637814411E+07 max_degree 20 errors no norm fully_normalized tide_system zero_tide key L M C S end_of_head =================================== gfc 0 0 1.0000e+0 gfc 2 0 -484.162270e-6 gfc 3 0 0.9528e-6 gfc 4 0 0.5225e-6 gfc 5 0 0.0488e-6 gfc 6 0 -0.1307e-6 gfc 7 0 0.0945e-6 gfc 8 0 0.0437e-6 gfc 9 0 0.0364e-6 gfc 10 0 0.0497e-6 gfc 11 0 -0.0535e-6 gfc 12 0 0.0236e-6 gfc 13 0 0.0507e-6 gfc 14 0 -0.0073e-6 gfc 15 0 -0.0054e-6 gfc 16 0 0.0046e-6 gfc 17 0 -0.0012e-6 gfc 18 0 0.0019e-6 gfc 19 0 0.0150e-6 gfc 20 0 0.0031e-6 gfc 2 1 -0.0000e-6 0.0021e-6 gfc 2 2 2.4411e-6 -1.3984e-6 gfc 3 1 2.0333e-6 0.2487e-6 gfc 3 2 0.9052e-6 -0.6159e-6 gfc 3 3 0.7187e-6 1.4135e-6 gfc 4 1 -0.5394e-6 -0.4733e-6 gfc 4 2 0.3402e-6 0.6555e-6 gfc 4 3 0.9904e-6 -0.2004e-6 gfc 4 4 -0.1886e-6 0.3096e-6 gfc 5 1 -0.0678e-6 -0.0967e-6 gfc 5 2 0.6519e-6 -0.3301e-6 gfc 5 3 -0.4454e-6 -0.2128e-6 gfc 5 4 -0.2885e-6 0.0434e-6 gfc 5 5 0.1781e-6 -0.6646e-6 gfc 6 1 -0.0591e-6 0.0219e-6 gfc 6 2 0.0778e-6 -0.3450e-6 gfc 6 3 0.0645e-6 0.0031e-6 gfc 6 4 -0.0855e-6 -0.4732e-6 gfc 6 5 -0.2672e-6 -0.5392e-6 gfc 6 6 0.0079e-6 -0.2366e-6 gfc 7 1 0.2882e-6 0.1134e-6 gfc 7 2 0.3282e-6 0.1164e-6 gfc 7 3 0.2451e-6 -0.2105e-6 gfc 7 4 -0.2838e-6 -0.1045e-6 gfc 7 5 0.0273e-6 0.0457e-6 gfc 7 6 -0.3587e-6 0.1521e-6 gfc 7 7 0.0084e-6 0.0217e-6 gfc 8 1 -0.0136e-6 0.0706e-6 gfc 8 2 0.0680e-6 0.0597e-6 gfc 8 3 -0.0107e-6 -0.0915e-6 gfc 8 4 -0.2429e-6 0.0714e-6 gfc 8 5 -0.0151e-6 0.1028e-6 gfc 8 6 -0.0660e-6 0.3130e-6 gfc 8 7 0.0663e-6 0.0785e-6 gfc 8 8 -0.1232e-6 0.1308e-6 gfc 9 1 0.1563e-6 0.0067e-6 gfc 9 2 0.0077e-6 -0.0362e-6 gfc 9 3 -0.1719e-6 -0.1111e-6 gfc 9 4 -0.0222e-6 -0.0045e-6 gfc 9 5 -0.0283e-6 -0.0547e-6 gfc 9 6 0.0572e-6 0.2395e-6 gfc 9 7 -0.1046e-6 -0.1024e-6 gfc 9 8 0.2014e-6 -0.0073e-6 gfc 9 9 -0.0635e-6 0.0775e-6 gfc 10 1 0.1059e-6 -0.1308e-6 gfc 10 2 -0.0855e-6 -0.0268e-6 gfc 10 3 -0.0292e-6 -0.1582e-6 gfc 10 4 -0.0921e-6 -0.0521e-6 gfc 10 5 -0.0654e-6 -0.0213e-6 gfc 10 6 -0.0390e-6 -0.0829e-6 gfc 10 7 0.0232e-6 0.0160e-6 gfc 10 8 0.0257e-6 -0.0587e-6 gfc 10 9 0.1050e-6 -0.0345e-6 gfc 10 10 0.1205e-6 -0.0240e-6 gfc 11 1 0.0140e-6 -0.0077e-6 gfc 11 2 0.0346e-6 -0.0892e-6 gfc 11 3 -0.0483e-6 -0.1231e-6 gfc 11 4 -0.0451e-6 -0.0704e-6 gfc 11 5 0.0716e-6 0.0541e-6 gfc 11 6 -0.0042e-6 0.0387e-6 gfc 11 7 0.0173e-6 -0.0692e-6 gfc 11 8 0.0258e-6 0.0045e-6 gfc 11 9 -0.0267e-6 0.0220e-6 gfc 11 10 -0.0435e-6 0.0142e-6 gfc 11 11 0.0407e-6 -0.0728e-6 gfc 12 1 -0.0783e-6 -0.0513e-6 gfc 12 2 -0.0045e-6 0.0042e-6 gfc 12 3 0.0460e-6 -0.0058e-6 gfc 12 4 -0.0427e-6 -0.0269e-6 gfc 12 5 0.0528e-6 0.0142e-6 gfc 12 6 -0.0068e-6 0.0358e-6 gfc 12 7 -0.0242e-6 0.0271e-6 gfc 12 8 -0.0197e-6 0.0005e-6 gfc 12 9 0.0225e-6 0.0120e-6 gfc 12 10 -0.0040e-6 0.0611e-6 gfc 12 11 0.0099e-6 -0.0066e-6 gfc 12 12 -0.0119e-6 -0.0038e-6 gfc 13 1 -0.0466e-6 0.0167e-6 gfc 13 2 0.0253e-6 -0.0462e-6 gfc 13 3 -0.0082e-6 0.0532e-6 gfc 13 4 -0.0247e-6 -0.0063e-6 gfc 13 5 0.0377e-6 0.0382e-6 gfc 13 6 -0.0259e-6 -0.0420e-6 gfc 13 7 0.0103e-6 -0.0143e-6 gfc 13 8 -0.0216e-6 0.0065e-6 gfc 13 9 0.0131e-6 0.0278e-6 gfc 13 10 0.0097e-6 -0.0130e-6 gfc 13 11 -0.0077e-6 -0.0119e-6 gfc 13 12 -0.0026e-6 0.0646e-6 gfc 13 13 -0.0531e-6 0.0540e-6 gfc 14 1 -0.0093e-6 0.0286e-6 gfc 14 2 -0.0219e-6 0.0133e-6 gfc 14 3 0.0448e-6 -0.0058e-6 gfc 14 4 -0.0308e-6 -0.0022e-6 gfc 14 5 0.0222e-6 -0.0026e-6 gfc 14 6 -0.0017e-6 -0.0193e-6 gfc 14 7 0.0028e-6 -0.0261e-6 gfc 14 8 -0.0418e-6 -0.0156e-6 gfc 14 9 0.0238e-6 0.0157e-6 gfc 14 10 0.0305e-6 0.0145e-6 gfc 14 11 0.0203e-6 -0.0201e-6 gfc 14 12 0.0060e-6 -0.0411e-6 gfc 14 13 0.0142e-6 0.0320e-6 gfc 14 14 -0.0460e-6 0.0058e-6 gfc 15 1 0.0054e-6 -0.0033e-6 gfc 15 2 -0.0126e-6 -0.0155e-6 gfc 15 5 -0.0114e-6 0.0099e-6 gfc 15 6 0.0094e-6 -0.0393e-6 gfc 15 9 0.0043e-6 0.0161e-6 gfc 15 10 0.0044e-6 -0.0033e-6 gfc 15 11 -0.0023e-6 0.0029e-6 gfc 15 12 -0.0202e-6 -0.0047e-6 gfc 15 13 -0.0197e-6 0.0068e-6 gfc 15 14 -0.0040e-6 -0.0114e-6 gfc 15 15 0.0022e-6 -0.0021e-6 gfc 16 1 0.0092e-6 0.0016e-6 gfc 15 3 0.0053e-6 0.0064e-6 gfc 15 4 -0.0268e-6 0.0053e-6 gfc 16 2 -0.0111e-6 0.0295e-6 gfc 16 3 0.0078e-6 -0.0016e-6 gfc 16 4 0.0381e-6 0.0064e-6 gfc 16 5 -0.0226e-6 -0.0051e-6 gfc 15 7 0.0389e-6 0.0224e-6 gfc 15 8 -0.0301e-6 0.0104e-6 gfc 16 6 -0.0072e-6 -0.0080e-6 gfc 16 7 0.0018e-6 -0.0054e-6 gfc 16 8 -0.0020e-6 -0.0034e-6 gfc 16 9 -0.0071e-6 -0.0227e-6 gfc 16 10 -0.0094e-6 0.0092e-6 gfc 16 11 0.0134e-6 -0.0014e-6 gfc 16 12 0.0155e-6 0.0049e-6 gfc 16 13 0.0069e-6 -0.0049e-6 gfc 16 14 -0.0308e-6 -0.0248e-6 gfc 16 15 0.0024e-6 -0.0097e-6 gfc 16 16 -0.0136e-6 0.0003e-6 gfc 17 1 -0.0109e-6 -0.0152e-6 gfc 17 2 0.0068e-6 0.0048e-6 gfc 17 3 -0.0161e-6 0.0109e-6 gfc 17 4 0.0025e-6 0.0176e-6 gfc 17 5 -0.0106e-6 0.0003e-6 gfc 17 8 -0.0088e-6 -0.0130e-6 gfc 17 7 0.0090e-6 0.0046e-6 gfc 17 8 -0.0045e-6 0.0092e-6 gfc 17 9 -0.0068e-6 -0.0149e-6 gfc 17 10 0.0138e-6 0.0007e-6 gfc 17 11 -0.0115e-6 -0.0035e-6 gfc 17 12 0.0173e-6 0.0113e-6 gfc 17 13 0.0030e-6 0.0261e-6 gfc 17 14 -0.0198e-6 0.0185e-6 gfc 17 15 0.0023e-6 0.0053e-6 gfc 17 16 -0.0091e-6 0.0038e-6 gfc 17 17 -0.0247e-6 -0.0028e-6 gfc 18 1 -0.0058e-6 -0.0152e-6 gfc 18 2 0.0026e-6 -0.0033e-6 gfc 18 3 -0.0075e-6 0.0002e-6 gfc 18 4 0.0172e-6 0.0049e-6 gfc 18 5 0.0108e-6 0.0188e-6 gfc 18 6 0.0029e-6 -0.0023e-6 gfc 18 7 -0.0008e-6 -0.0005e-6 gfc 18 8 0.0168e-6 -0.0052e-6 gfc 18 9 -0.0133e-6 0.0042e-6 gfc 18 10 -0.0022e-6 -0.0036e-6 gfc 18 11 -0.0059e-6 0.0153e-6 gfc 18 12 -0.0243e-6 -0.0162e-6 gfc 18 13 -0.0051e-6 -0.0126e-6 gfc 18 14 -0.0174e-6 0.0015e-6 gfc 18 15 -0.0298e-6 -0.0085e-6 gfc 18 16 0.0035e-6 -0.0018e-6 gfc 18 17 0.0010e-6 -0.0019e-6 gfc 18 18 -0.0180e-6 -0.0083e-6 gfc 18 1 -0.0098e-6 0.0024e-6 gfc 19 2 0.0018e-6 0.0025e-6 gfc 19 3 -0.0107e-6 -0.0091e-6 gfc 19 4 -0.0083e-6 -0.0041e-6 gfc 18 5 -0.0076e-6 -0.0108e-6 gfc 19 6 -0.0062e-6 0.0146e-6 gfc 19 7 0.0019e-6 0.0041e-6 gfc 19 8 0.0085e-6 0.0035e-6 gfc 19 9 0.0014e-6 0.0040e-6 gfc 19 10 -0.0076e-6 -0.0068e-6 gfc 19 11 0.0084e-6 0.0144e-6 gfc 18 12 -0.0056e-6 0.0030e-6 gfc 19 13 -0.0112e-6 -0.0201e-6 gfc 19 14 0.0028e-6 -0.0166e-6 gfc 19 15 -0.0114e-6 -0.0087e-6 gfc 19 16 -0.0079e-6 -0.0154e-6 gfc 19 17 0.0100e-6 0.0006e-6 gfc 18 18 0.0158e-6 0.0007e-6 gfc 19 19 -0.0010e-6 -0.0050e-6 gfc 20 1 0.0037e-6 -0.0030e-6 gfc 20 2 0.0017e-6 0.0035e-6 gfc 20 3 0.0011e-6 0.0099e-6 gfc 20 4 0.0028e-6 -0.0083e-6 gfc 20 5 -0.0009e-6 0.0045e-6 gfc 20 6 0.0051e-6 0.0013e-6 gfc 20 7 -0.0071e-6 -0.0009e-6 gfc 20 8 -0.0023e-6 0.0002e-6 gfc 20 9 0.0008e-6 0.0062e-6 gfc 20 10 -0.0095e-6 -0.0046e-6 gfc 20 11 0.0029e-6 -0.0130e-6 gfc 20 12 -0.0048e-6 0.0106e-6 gfc 20 13 0.0022e-6 0.0020e-6 gfc 20 14 0.0025e-6 -0.0113e-6 gfc 20 15 -0.0006e-6 0.0000e-6 gfc 20 16 -0.0018e-6 -0.0067e-6 gfc 20 17 -0.0057e-6 -0.0009e-6 gfc 20 18 -0.0015e-6 0.0071e-6 gfc 20 19 0.0066e-6 0.0007e-6 gfc 20 20 0.0056e-6 0.0009e-6