Krauss, S., Wirnsberger, H., Klinger, B., Mayer-Guerr, T., Baur, O. 2016. Latest developments in lunar gravity field recovery within the project GRAZIL. European Geoscience Union 2016, Vienna. Krauss, S., Klinger, B., Baur, O., Mayer-Guerr, T. 2015. Development of the lunar gravity field model GrazLGM300a. Oesterr. Zeitschr. Verm. Geoinf., ISSN 1605-1653, 103, 156-161, 2015. This file contains coefficients and related data for the Graz Lunar gravity field LGM300c, a model resolved up to degree and order 300. It is based on inter-satellite Ka-band ranging observations collected by the GRAIL mission during the primary mission phase (March 1 to May 29, 2012). Some details describing this model are: The spherical harmonic coefficients are fully normalized. The reference radius = 1738.0 km The planetary ephemeris is de421 and defines the lunar body-fixed coordinate system. JGL165P1 up to degree and order 165 was introduced as a priori gravity field model. The 2nd degree Love number use: k2=0.0213, k3=0.0073. begin_of_head =================================== product_type gravity_field body moon modelname GrazLGM300c gravity_constant 4.9028010560e+12 radius 1.7380000000e+06 tide_system tide_free max_degree 300 norm fully_normalized errors formal 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 -9.087956353045e-05 0.000000000000e+00 1.190188805165e-08 0.000000000000e+00 gfc 2 1 -1.213967749052e-09 1.455129745289e-09 2.859758563106e-09 2.906479403374e-09 gfc 2 2 3.474309673665e-05 2.659049061165e-10 2.922610871248e-09 2.794019804285e-09 gfc 3 0 -3.195277939652e-06 0.000000000000e+00 2.826542368206e-09 0.000000000000e+00 gfc 3 1 2.636747861741e-05 5.454768049037e-06 3.444261862490e-10 3.577152503679e-10 gfc 3 2 1.417075811808e-05 4.878054956674e-06 2.830569356652e-10 2.635547591985e-10 gfc 3 3 1.227476122376e-05 -1.774605109425e-06 4.388053645310e-10 4.496530355878e-10 gfc 4 0 3.234795571239e-06 0.000000000000e+00 2.643008714297e-10 0.000000000000e+00 gfc 4 1 -6.013498359501e-06 1.664319046796e-06 1.105688396895e-10 1.051023270079e-10 gfc 4 2 -7.116410915692e-06 -6.777042972182e-06 8.108078990236e-11 7.808351127744e-11 gfc 4 3 -1.349857889409e-06 -1.344469140842e-05 9.789395936494e-11 1.010975153971e-10 gfc 4 4 -6.007159021527e-06 3.925847987504e-06 3.009246797714e-10 2.657604455386e-10 gfc 5 0 -2.237992024671e-07 0.000000000000e+00 6.317172911690e-12 0.000000000000e+00 gfc 5 1 -1.011608635094e-06 -4.118912838240e-06 7.113658411383e-12 6.555825699290e-12 gfc 5 2 4.399523396501e-06 1.057164485143e-06 8.226729454462e-12 8.869481272519e-12 gfc 5 3 4.661948055132e-07 8.698910251733e-06 1.348823531634e-11 1.321530174567e-11 gfc 5 4 2.754055857450e-06 6.750969604378e-08 8.268071873626e-11 7.040572669531e-11 gfc 5 5 3.111120072415e-06 -2.754000184777e-06 3.001920967255e-10 3.039380827564e-10 gfc 6 0 3.818435802990e-06 0.000000000000e+00 2.088428647536e-12 0.000000000000e+00 gfc 6 1 1.528240279318e-06 -2.599605530723e-06 2.737447715830e-12 1.952185034534e-12 gfc 6 2 -4.397316874553e-06 -2.167689166970e-06 2.789853158681e-12 2.459695691808e-12 gfc 6 3 -3.317516765185e-06 -3.427429409052e-06 4.840142530610e-12 4.363164442028e-12 gfc 6 4 3.411540466169e-07 -4.058168613521e-06 4.661235769323e-11 3.845154700521e-11 gfc 6 5 1.454224564474e-06 -1.034164294217e-05 6.390940506218e-11 6.630102168798e-11 gfc 6 6 -4.684060764528e-06 7.229825284542e-06 1.775662526775e-10 1.744548888907e-10 gfc 7 0 5.593432015195e-06 0.000000000000e+00 2.578977870119e-12 0.000000000000e+00 gfc 7 1 7.471645134110e-06 -1.197376198447e-07 2.830030642449e-12 2.166655264117e-12 gfc 7 2 -6.501623978391e-07 2.411119375779e-06 2.473075080851e-12 2.671722018997e-12 gfc 7 3 5.994399842234e-07 2.357328103941e-06 3.384396748065e-12 3.299135122845e-12 gfc 7 4 -8.437532654873e-07 7.564868614573e-07 2.535673701604e-11 2.147476235183e-11 gfc 7 5 -2.067416047453e-07 1.069420345206e-06 4.970474429857e-11 5.041799374215e-11 gfc 7 6 -1.065334382978e-06 1.100274040400e-06 4.417315936428e-11 4.202967433092e-11 gfc 7 7 -1.820076989880e-06 -1.599816436813e-06 2.352985671758e-10 2.301830069830e-10 gfc 8 0 2.346834485154e-06 0.000000000000e+00 1.921694022827e-12 0.000000000000e+00 gfc 8 1 4.172178780608e-09 1.098045145878e-06 1.811745662020e-12 1.970640601697e-12 gfc 8 2 3.009314961550e-06 1.930561218518e-06 2.170305912261e-12 1.842874690815e-12 gfc 8 3 -1.889036332707e-06 9.544743169302e-07 2.619362142427e-12 3.108300060513e-12 gfc 8 4 3.408671077142e-06 -5.282965490290e-07 1.796819437749e-11 1.484659464142e-11 gfc 8 5 -1.248088077143e-06 2.918589372318e-06 1.634302450258e-11 1.699052983088e-11 gfc 8 6 -1.660454162884e-06 -2.114790747580e-06 3.994245785522e-11 3.802616448076e-11 gfc 8 7 -1.509642715558e-06 3.268883359693e-06 5.025957371310e-11 4.944413643577e-11 gfc 8 8 -2.485567786582e-06 2.116352136023e-06 1.294080990516e-10 1.293501272134e-10 gfc 9 0 -3.530897207822e-06 0.000000000000e+00 1.731601147639e-12 0.000000000000e+00 gfc 9 1 1.866997140492e-06 8.103708825458e-08 2.319627315739e-12 1.465777809381e-12 gfc 9 2 1.927791452618e-06 -1.387560096542e-06 1.976343976214e-12 1.569519769269e-12 gfc 9 3 -1.992418288696e-06 2.201764916115e-06 2.917128305389e-12 2.319682379798e-12 gfc 9 4 -1.884468567682e-06 -1.425820199289e-06 1.141047500055e-11 9.960845780856e-12 gfc 9 5 -1.562496566808e-06 -3.524644627252e-06 1.607877762808e-11 1.628360187540e-11 gfc 9 6 -2.127267533653e-06 -3.002713719658e-06 2.080081323734e-11 1.992021340166e-11 gfc 9 7 -3.914718260054e-06 -1.067294222464e-07 6.332012518209e-11 6.179713870368e-11 gfc 9 8 -1.311988976923e-06 -2.203518978340e-06 2.847772815329e-11 2.874026655079e-11 gfc 9 9 -9.385052079707e-07 2.488082624890e-06 1.790474825313e-10 1.791425107962e-10 gfc 10 0 -1.069293584250e-06 0.000000000000e+00 1.291067540461e-12 0.000000000000e+00 gfc 10 1 8.416088286065e-07 -9.540748441286e-07 1.722878619632e-12 1.072449790878e-12 gfc 10 2 3.572376260168e-07 -2.651090865911e-07 1.475661175994e-12 1.317054083979e-12 gfc 10 3 4.841873105936e-07 6.688379127951e-07 2.278505926943e-12 2.036347786472e-12 gfc 10 4 -3.572979062845e-06 1.578908667714e-06 9.112683542168e-12 7.834310341970e-12 gfc 10 5 6.996941286972e-07 -3.145884837807e-07 6.671436263330e-12 6.913935854999e-12 gfc 10 6 -1.273277896751e-07 -2.095368789985e-06 1.861950080844e-11 1.715361374972e-11 gfc 10 7 -3.998665047335e-06 -9.107217199522e-07 2.123167457595e-11 2.082295637307e-11 gfc 10 8 -3.559433223281e-06 2.848809328373e-06 3.528228426946e-11 3.543127431706e-11 gfc 10 9 -4.753017048212e-06 -5.152475756712e-08 4.050604950479e-11 4.080790435608e-11 gfc 10 10 9.477103656861e-07 -1.719548466663e-06 1.052444095701e-10 1.045900815883e-10 gfc 11 0 -8.852067602770e-07 0.000000000000e+00 1.154268390334e-12 0.000000000000e+00 gfc 11 1 -1.944998624138e-08 6.142441023764e-07 1.643948726508e-12 1.062662459848e-12 gfc 11 2 6.995151609478e-07 -1.968040050624e-06 1.360870000013e-12 1.124115920426e-12 gfc 11 3 4.084157640414e-07 7.362779160690e-07 1.770337740652e-12 2.065731027913e-12 gfc 11 4 -1.086788779845e-06 2.190867571205e-06 6.351883207531e-12 5.511078775412e-12 gfc 11 5 5.036287842626e-08 2.588027507449e-06 7.049006325835e-12 7.214364999326e-12 gfc 11 6 5.242967277193e-07 -1.367090229629e-06 1.210153157575e-11 1.146337449790e-11 gfc 11 7 -8.451065685969e-08 -2.841044579296e-06 2.629435055268e-11 2.561844143293e-11 gfc 11 8 -2.095269109976e-06 -3.829733881192e-07 1.624338581532e-11 1.640568281515e-11 gfc 11 9 -2.335002029997e-06 2.526103664181e-07 6.120174152257e-11 6.128196104582e-11 gfc 11 10 -4.680575695423e-06 -1.735915949999e-07 2.121640284980e-11 2.134312608834e-11 gfc 11 11 -2.888795853996e-06 -1.746422925277e-06 1.363695899080e-10 1.343359418977e-10 gfc 12 0 -2.012266063249e-06 0.000000000000e+00 1.477894066492e-12 0.000000000000e+00 gfc 12 1 -7.068674810650e-07 1.647790731998e-06 1.530991875780e-12 1.390293282750e-12 gfc 12 2 -1.052008994333e-07 1.507797367776e-06 1.462499995130e-12 2.013766430243e-12 gfc 12 3 8.556943286895e-07 -4.058961229257e-06 1.463963972802e-12 1.888204107043e-12 gfc 12 4 8.130077123716e-07 -3.446060722886e-07 5.484211000995e-12 4.757033916750e-12 gfc 12 5 2.110432773511e-10 8.936327303607e-07 3.563814597739e-12 3.642202431259e-12 gfc 12 6 1.089069229499e-06 5.451916947282e-07 1.059349827828e-11 1.002176651210e-11 gfc 12 7 2.139988912770e-06 -9.675745610413e-07 1.059552245703e-11 1.039011426441e-11 gfc 12 8 3.985195455756e-07 -2.206594502333e-06 1.684144493523e-11 1.685170727857e-11 gfc 12 9 -1.345125403810e-06 1.095019891912e-06 2.201596991053e-11 2.217302625384e-11 gfc 12 10 -3.075550331586e-06 -1.273979069310e-06 3.336379717180e-11 3.329364636749e-11 gfc 12 11 -9.817331312370e-07 -3.284181517418e-07 3.432363777612e-11 3.343174924062e-11 gfc 12 12 3.026396991041e-07 1.246884966346e-06 8.988094667126e-11 8.961404870924e-11 gfc 13 0 2.564899017128e-07 0.000000000000e+00 1.259553322197e-12 0.000000000000e+00 gfc 13 1 1.354448190267e-06 -7.666692696950e-08 1.931582624849e-12 1.419073912189e-12 gfc 13 2 -3.425243098372e-06 3.839666278374e-07 1.607296507733e-12 1.326899595410e-12 gfc 13 3 -4.333303589703e-07 -1.456313764770e-06 1.826733227165e-12 1.921453828455e-12 gfc 13 4 7.772503442443e-07 -5.819219020153e-07 3.761370344715e-12 3.407500989275e-12 gfc 13 5 -1.186337860075e-06 1.021358029086e-06 3.889101539948e-12 4.044018518126e-12 gfc 13 6 -2.768315784324e-08 1.384182616071e-06 7.548927730935e-12 7.297203287889e-12 gfc 13 7 -1.621125960044e-07 -6.726549672270e-07 1.325584313215e-11 1.295073207214e-11 gfc 13 8 -2.922799026277e-07 -1.210562025193e-06 1.054587884733e-11 1.062791389889e-11 gfc 13 9 -1.699969345339e-07 5.274732223699e-07 2.966557165506e-11 2.969600739593e-11 gfc 13 10 -6.742844356394e-07 4.528693246279e-07 1.316049853164e-11 1.333756055141e-11 gfc 13 11 -1.305671827731e-06 4.390191556755e-07 5.397111368985e-11 5.324107102415e-11 gfc 13 12 -5.743694680009e-07 -1.522356402810e-06 1.769731796582e-11 1.734224556249e-11 gfc 13 13 2.499452582810e-06 -2.668770153116e-06 9.981962875789e-11 1.065404684138e-10 gfc 14 0 4.922553334661e-07 0.000000000000e+00 1.110675025262e-12 0.000000000000e+00 gfc 14 1 5.654221076145e-07 -6.821032837898e-07 1.237828040027e-12 1.010601539870e-12 gfc 14 2 3.644198831609e-07 3.552146585180e-07 1.246502260017e-12 1.210491867412e-12 gfc 14 3 5.578939999700e-07 1.679858020705e-07 1.467070830152e-12 1.636909608718e-12 gfc 14 4 -3.905442697814e-07 -2.582072211078e-06 3.473958682881e-12 2.987906527051e-12 gfc 14 5 -7.823953971099e-07 -2.159847277692e-07 2.212482083318e-12 2.748909566161e-12 gfc 14 6 -6.096128153715e-07 1.862260638157e-06 6.843093006514e-12 6.445615821934e-12 gfc 14 7 -5.154229902206e-07 1.161507260753e-06 6.040725882172e-12 5.927990025155e-12 gfc 14 8 3.061342538959e-07 4.414138170693e-07 1.006273430378e-11 1.014550112710e-11 gfc 14 9 8.052017923918e-08 -1.638049795310e-06 1.273977777012e-11 1.284368159267e-11 gfc 14 10 -7.782378354804e-07 5.929993326312e-07 1.618694818178e-11 1.623665943400e-11 gfc 14 11 -1.928440491326e-06 1.937250041387e-06 2.175751276737e-11 2.124272385502e-11 gfc 14 12 -1.448581830656e-06 -5.394884310662e-07 3.218339651303e-11 3.208734778635e-11 gfc 14 13 -3.214240135479e-07 -1.017713078125e-06 2.751398017151e-11 2.893929971917e-11 gfc 14 14 -6.134964716967e-07 1.071156674944e-06 7.872647392355e-11 7.900661213904e-11 gfc 15 0 -2.280959003494e-07 0.000000000000e+00 9.930666015119e-13 0.000000000000e+00 gfc 15 1 -7.975306532664e-07 3.536202026655e-07 1.129289902144e-12 8.858005921596e-13 gfc 15 2 -5.401654860399e-08 7.446508422195e-07 1.034602548991e-12 1.387030002766e-12 gfc 15 3 -1.378247482806e-06 -6.307158233724e-07 1.378511321506e-12 1.455295738067e-12 gfc 15 4 -9.560627983689e-07 -1.323375931934e-06 2.725638529006e-12 2.448287538030e-12 gfc 15 5 7.747519700683e-09 -8.933827435506e-07 2.502647758681e-12 2.584699426216e-12 gfc 15 6 -6.442619494187e-08 -3.306845076071e-07 5.088645918518e-12 4.942008169745e-12 gfc 15 7 1.125299680410e-06 1.489431273391e-06 7.619133611226e-12 7.495936467392e-12 gfc 15 8 1.315103420408e-06 1.886515312406e-06 7.381362064964e-12 7.495064935859e-12 gfc 15 9 -8.525198852061e-08 -1.011655976187e-06 1.670631692452e-11 1.674055604196e-11 gfc 15 10 -6.014724197665e-08 4.227142407612e-07 9.044130266558e-12 9.122317027716e-12 gfc 15 11 -1.426271433305e-06 -1.502457321979e-06 2.913462977117e-11 2.869266960463e-11 gfc 15 12 -1.767193565075e-06 -4.717786380520e-07 1.145454097252e-11 1.146002097673e-11 gfc 15 13 -4.048674294717e-07 3.095218186556e-07 4.355246017166e-11 4.650762765507e-11 gfc 15 14 8.234535514300e-07 5.614487861710e-07 1.520968545531e-11 1.597707684944e-11 gfc 15 15 5.483873104883e-07 7.779432415103e-07 8.126733897279e-11 8.077298341824e-11 gfc 16 0 5.568484659399e-07 0.000000000000e+00 9.652690600878e-13 0.000000000000e+00 gfc 16 1 1.155931274376e-07 8.252543146733e-07 9.080985225518e-13 1.194258250314e-12 gfc 16 2 1.455231476832e-06 7.650983270046e-09 1.126936132319e-12 9.460685112501e-13 gfc 16 3 -1.942746089218e-07 5.233363480822e-07 1.092556193140e-12 1.337019030411e-12 gfc 16 4 6.859537744657e-07 3.124305154095e-07 2.365327546287e-12 2.258994006441e-12 gfc 16 5 7.634243682461e-07 -6.484927275445e-07 1.636984219057e-12 1.830296656064e-12 gfc 16 6 7.297966359048e-07 -7.280922462561e-07 4.768233289566e-12 4.402420680843e-12 gfc 16 7 -2.807097855957e-07 -5.803953063362e-07 3.800689026224e-12 3.742437965781e-12 gfc 16 8 2.370333494364e-08 3.200599521768e-07 6.948060344631e-12 6.928199452684e-12 gfc 16 9 -7.806662071315e-07 -8.233648858950e-07 8.004388525510e-12 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