Effective Angular Momentum Functions from geodetic residuals (mass+motion term) File name : ESMGFZ_GAHS_RL07_24h_1969.asc File contents : Effective angular momentum functions from geodetic excitation File units : dimensionless earth rotation excitation functions Issue date : 2026-10-15 References : Stumpe et al. (2027) Closing Mass-Consistent Earth Angular Momentum Budgets: Impact of Oceanic Excitation Uncertainty Contact : Lone Stumpe (stumpe@gfz.de), Robert Dill (dill@gfz.de) Affiliation : GFZ Helmholtz Centre for Geosciences, Potsdam, Germany, Section 1.3: Earth System Modelling Temporal domain : 01.01.1969, 12:00 UTC until 31.12.1969, 12:00 UTC Temporal resolution : 24h Number of data records : 365 Subtracted mean values : mean of each component over total period of all yearly files Notes : These G-AHS data are constructed based on a set of consistently processed Earth rotation excitation functions (ESMGFZ RL07 data) and the geodetic angular momentum (GAM) derived from the 20 C04 series from the International Earth Rotation and Reference System Service (IERS) G-AHS = GAM - (AAM + HAM + SLAM) ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- YYYY MM DD HH MJD G-AHS (mass + motion) x-component y-component z-component 1969 01 01 12 40222.500 -2.994114114628789e-07 9.366532558184302e-07 -1.266353833713774e-08 1969 01 02 12 40223.500 -2.890898395923665e-07 9.979949830848593e-07 -1.259220662074416e-08 1969 01 03 12 40224.500 -2.992589304833169e-07 9.032293440088954e-07 -1.225938636805368e-08 1969 01 04 12 40225.500 -2.925097720196251e-07 8.130025627326627e-07 -1.257116876191096e-08 1969 01 05 12 40226.500 -2.914391780552183e-07 8.864244450570956e-07 -1.304674815698648e-08 1969 01 06 12 40227.500 -3.115406663431874e-07 7.813553412121170e-07 -1.401600712936232e-08 1969 01 07 12 40228.500 -3.226146726925555e-07 7.112535502573843e-07 -1.469648882017185e-08 1969 01 08 12 40229.500 -3.288789411067759e-07 8.654671822799404e-07 -1.510542262935599e-08 1969 01 09 12 40230.500 -3.038732182690148e-07 8.057166877720314e-07 -1.503925495303956e-08 1969 01 10 12 40231.500 -2.453565632683739e-07 8.131783889537037e-07 -1.512840335831071e-08 1969 01 11 12 40232.500 -2.770012186690918e-07 7.122675700094082e-07 -1.617458287744397e-08 1969 01 12 12 40233.500 -3.965581474847336e-07 5.311881841793147e-07 -1.718190038217668e-08 1969 01 13 12 40234.500 -4.406060852216139e-07 4.607121583408111e-07 -1.734557785689987e-08 1969 01 14 12 40235.500 -3.842808115183196e-07 4.250415591379553e-07 -1.782546441597059e-08 1969 01 15 12 40236.500 -4.158817649597458e-07 3.207219887969857e-07 -1.775664162611253e-08 1969 01 16 12 40237.500 -3.835727910293591e-07 4.495115536911788e-07 -1.758295387904425e-08 1969 01 17 12 40238.500 -3.117111062340140e-07 5.274210683129274e-07 -1.723271464021829e-08 1969 01 18 12 40239.500 -3.089377356453115e-07 5.862272793660709e-07 -1.617294307876854e-08 1969 01 19 12 40240.500 -2.238325498187687e-07 6.559167599522846e-07 -1.596217062745091e-08 1969 01 20 12 40241.500 -1.296164685315008e-07 5.645360311832460e-07 -1.607654889246636e-08 1969 01 21 12 40242.500 -1.585443579157846e-07 4.360467269873819e-07 -1.524280053172585e-08 1969 01 22 12 40243.500 -1.008936524843708e-07 5.145525366832477e-07 -1.498063556937386e-08 1969 01 23 12 40244.500 -7.191102201848481e-08 5.084583476893280e-07 -1.500777297018278e-08 1969 01 24 12 40245.500 -2.246729683777237e-07 3.601718400074008e-07 -1.422888086245049e-08 1969 01 25 12 40246.500 -1.333316829441660e-07 4.617832025608540e-07 -1.397521831343547e-08 1969 01 26 12 40247.500 -1.460839654424979e-07 5.267645435557563e-07 -1.348910122241437e-08 1969 01 27 12 40248.500 2.451045279905553e-08 5.164119959212719e-07 -1.261183965125952e-08 1969 01 28 12 40249.500 -9.833123485505583e-08 6.498081665568913e-07 -1.200125162441111e-08 1969 01 29 12 40250.500 -6.548786679633646e-08 6.707221705364152e-07 -1.246126593965727e-08 1969 01 30 12 40251.500 -6.821930691253628e-08 5.636626359694535e-07 -1.258652821993684e-08 1969 01 31 12 40252.500 -1.433917500231330e-07 5.070208812544956e-07 -1.244585384349863e-08 1969 02 01 12 40253.500 -1.389599303424662e-07 6.637701259020530e-07 -1.304779416255325e-08 1969 02 02 12 40254.500 -1.283645995912090e-07 7.381802840503893e-07 -1.358666087815308e-08 1969 02 03 12 40255.500 -1.969852238156432e-07 6.608237144563019e-07 -1.420830473978126e-08 1969 02 04 12 40256.500 -2.180828648749001e-07 6.250345017936273e-07 -1.525597139399996e-08 1969 02 05 12 40257.500 -1.182577372416083e-07 6.550771453293849e-07 -1.584750748121957e-08 1969 02 06 12 40258.500 -4.508249772839773e-08 5.208987949254382e-07 -1.520397270415146e-08 1969 02 07 12 40259.500 -3.021784794400244e-08 2.404089082460728e-07 -1.458409378014539e-08 1969 02 08 12 40260.500 -1.235532692233340e-07 2.727286149258099e-07 -1.431874959808697e-08 1969 02 09 12 40261.500 1.050946714580447e-07 2.245883478339127e-07 -1.424450412828167e-08 1969 02 10 12 40262.500 7.754964747633520e-08 3.466675129087414e-07 -1.270890949757375e-08 1969 02 11 12 40263.500 -7.310242429577682e-08 4.548698895777749e-07 -1.145336466169487e-08 1969 02 12 12 40264.500 -8.741347732979590e-08 5.122556530741619e-07 -1.099861585944442e-08 1969 02 13 12 40265.500 -1.047894438451091e-07 3.985916135046685e-07 -1.079576777852693e-08 1969 02 14 12 40266.500 -1.580583768362301e-07 3.574811848847962e-07 -1.063455028043541e-08 1969 02 15 12 40267.500 -1.342556929301092e-07 5.441561960023308e-07 -1.052272254549691e-08 1969 02 16 12 40268.500 -4.542305309418667e-08 4.308621821607569e-07 -1.050642769355898e-08 1969 02 17 12 40269.500 -2.394968533355010e-07 4.573532018511719e-07 -1.062129357246876e-08 1969 02 18 12 40270.500 -1.457037669618262e-07 4.848576991010431e-07 -1.178590321223214e-08 1969 02 19 12 40271.500 -1.659264073961409e-07 4.256321991193819e-07 -1.254770859027398e-08 1969 02 20 12 40272.500 -1.277218052184342e-07 4.331105649904287e-07 -1.314110507364144e-08 1969 02 21 12 40273.500 -1.179909314523162e-07 3.635088346491574e-07 -1.315208436997241e-08 1969 02 22 12 40274.500 -2.939562933571203e-07 3.617604316082075e-07 -1.350296735640600e-08 1969 02 23 12 40275.500 -2.582255072520136e-07 3.911414230719486e-07 -1.398542542443210e-08 1969 02 24 12 40276.500 -2.787455216724412e-07 3.829579465381230e-07 -1.445397597876991e-08 1969 02 25 12 40277.500 -1.804421992131678e-07 4.271508584425270e-07 -1.413458551030610e-08 1969 02 26 12 40278.500 -8.883197512122975e-08 3.102345201031141e-07 -1.381939609308693e-08 1969 02 27 12 40279.500 -1.236437330240328e-07 2.288581455137632e-07 -1.365543633503646e-08 1969 02 28 12 40280.500 -1.178867587713114e-07 2.982663462233935e-07 -1.396628750418868e-08 1969 03 01 12 40281.500 -1.625007536802862e-07 2.373795037245502e-07 -1.443647087240910e-08 1969 03 02 12 40282.500 -2.830795022588041e-07 2.391814369557657e-07 -1.423070831341438e-08 1969 03 03 12 40283.500 -2.646016644606028e-07 2.187471739951166e-07 -1.426513416791472e-08 1969 03 04 12 40284.500 -3.003124922375311e-07 2.603173031400476e-07 -1.468751226113347e-08 1969 03 05 12 40285.500 -1.901615378043511e-07 2.342374231437773e-07 -1.533950786276507e-08 1969 03 06 12 40286.500 -3.109157114181437e-07 2.375431374003027e-07 -1.557302847095061e-08 1969 03 07 12 40287.500 -4.833544953554176e-07 3.457477631268990e-07 -1.550893333797957e-08 1969 03 08 12 40288.500 -4.675318224585765e-07 4.084847607105276e-07 -1.588584961088923e-08 1969 03 09 12 40289.500 -5.688727868443846e-07 4.258682720510049e-07 -1.612765528732228e-08 1969 03 10 12 40290.500 -5.338629364263032e-07 4.158073468293918e-07 -1.636365069912418e-08 1969 03 11 12 40291.500 -4.838899607655762e-07 4.435914993495015e-07 -1.619132408986123e-08 1969 03 12 12 40292.500 -4.805506376420999e-07 4.461737859963785e-07 -1.594394244020226e-08 1969 03 13 12 40293.500 -4.761415239012295e-07 3.718664988214610e-07 -1.462733275422237e-08 1969 03 14 12 40294.500 -5.633182951666034e-07 5.960343156815734e-07 -1.338060334947449e-08 1969 03 15 12 40295.500 -3.797020551720493e-07 5.474442713111328e-07 -1.314571357863382e-08 1969 03 16 12 40296.500 -3.487291948046412e-07 4.045780168869560e-07 -1.277592161676068e-08 1969 03 17 12 40297.500 -3.827762578099627e-07 3.123915701683479e-07 -1.283648707418819e-08 1969 03 18 12 40298.500 -4.151215719523990e-07 3.354668880161820e-07 -1.325693700265116e-08 1969 03 19 12 40299.500 -3.116948845846070e-07 3.005257091591337e-07 -1.243817713182519e-08 1969 03 20 12 40300.500 -3.597367456325773e-07 2.929381728559458e-07 -1.276991771498375e-08 1969 03 21 12 40301.500 -2.776081423014114e-07 2.748222291065715e-07 -1.325135666377367e-08 1969 03 22 12 40302.500 -3.376634955512866e-07 2.472054191656090e-07 -1.364897851816258e-08 1969 03 23 12 40303.500 -2.479536586429612e-07 2.865855949955775e-07 -1.332333014024649e-08 1969 03 24 12 40304.500 -2.975614928308201e-07 2.367585304809784e-07 -1.291746709757141e-08 1969 03 25 12 40305.500 -3.926380897596932e-07 2.340571008516137e-07 -1.257930437375665e-08 1969 03 26 12 40306.500 -5.397768404102649e-07 4.098722681377116e-07 -1.146814617718607e-08 1969 03 27 12 40307.500 -4.568673614971206e-07 5.765922174669722e-07 -1.076432684685475e-08 1969 03 28 12 40308.500 -5.049476218470218e-07 4.764416710397181e-07 -1.056340182155445e-08 1969 03 29 12 40309.500 -5.542059895780558e-07 3.518123376351513e-07 -1.091943087064953e-08 1969 03 30 12 40310.500 -5.035773441627151e-07 3.216629985714374e-07 -1.202047575695723e-08 1969 03 31 12 40311.500 -4.967684903115516e-07 4.304316123053848e-07 -1.268849483082902e-08 1969 04 01 12 40312.500 -5.277584348731735e-07 6.541582519333533e-07 -1.261799066929869e-08 1969 04 02 12 40313.500 -4.785112667925156e-07 7.898439502575926e-07 -1.292874524718729e-08 1969 04 03 12 40314.500 -3.305406314373272e-07 9.481797171347260e-07 -1.333443970502489e-08 1969 04 04 12 40315.500 -1.246280388731532e-07 7.628860662205398e-07 -1.470348434888490e-08 1969 04 05 12 40316.500 -9.614406904559147e-08 6.198627609327744e-07 -1.511795522083679e-08 1969 04 06 12 40317.500 -1.740194873755788e-07 3.843889209829678e-07 -1.504676592336543e-08 1969 04 07 12 40318.500 -2.367314651964180e-07 3.045676203663534e-07 -1.472201199189849e-08 1969 04 08 12 40319.500 -2.703197746330812e-07 3.164238138919282e-07 -1.485199587369451e-08 1969 04 09 12 40320.500 -2.191595742020221e-07 3.267782576313984e-07 -1.510189001512342e-08 1969 04 10 12 40321.500 -1.037292830894620e-07 3.297624884820239e-07 -1.488464924341608e-08 1969 04 11 12 40322.500 -1.311221689332506e-07 3.183802238086164e-07 -1.431429161249241e-08 1969 04 12 12 40323.500 -2.300808159111380e-07 3.627658097462988e-07 -1.282068267654629e-08 1969 04 13 12 40324.500 -3.274084670708050e-07 3.771505452624598e-07 -1.248372179702213e-08 1969 04 14 12 40325.500 -2.319360713160878e-07 4.699397915663873e-07 -1.272205622087689e-08 1969 04 15 12 40326.500 -1.730424793519901e-07 4.812924118316131e-07 -1.322919744356800e-08 1969 04 16 12 40327.500 -1.583747918283909e-07 3.911240850144619e-07 -1.360001705541240e-08 1969 04 17 12 40328.500 -2.277574768799612e-07 3.330100930358645e-07 -1.332295853651918e-08 1969 04 18 12 40329.500 -2.338468913272508e-07 4.870485673074420e-07 -1.288877228825711e-08 1969 04 19 12 40330.500 -8.315406978327450e-08 5.063744280475356e-07 -1.323722122617523e-08 1969 04 20 12 40331.500 -8.238511618626758e-08 4.666790211583738e-07 -1.265078678946551e-08 1969 04 21 12 40332.500 -2.159610361443498e-07 4.623681731599470e-07 -1.266042043575209e-08 1969 04 22 12 40333.500 -2.464791729908152e-07 5.409113257721157e-07 -1.246993264887067e-08 1969 04 23 12 40334.500 -2.203891575348719e-07 5.505443426254122e-07 -1.188823035536653e-08 1969 04 24 12 40335.500 -1.767217154506188e-07 4.990939733280337e-07 -1.190059120960662e-08 1969 04 25 12 40336.500 -2.182888507632525e-07 5.344957253437480e-07 -1.226279002989283e-08 1969 04 26 12 40337.500 -2.004332776298365e-07 4.963040955861215e-07 -1.305736245481087e-08 1969 04 27 12 40338.500 -7.445284898328572e-08 4.471389343180735e-07 -1.300472024266571e-08 1969 04 28 12 40339.500 -1.877677715519605e-07 3.304753614607453e-07 -1.389265910718114e-08 1969 04 29 12 40340.500 -1.609285403786337e-07 3.119387571495534e-07 -1.454394101436664e-08 1969 04 30 12 40341.500 -2.818377967805394e-07 2.856065764507109e-07 -1.484122075575993e-08 1969 05 01 12 40342.500 -2.918763380439329e-07 2.906279331553722e-07 -1.502904848357175e-08 1969 05 02 12 40343.500 -2.871356082217211e-07 3.041946049207896e-07 -1.455022706480732e-08 1969 05 03 12 40344.500 -3.498963508514876e-07 4.940080370728574e-07 -1.492525233470181e-08 1969 05 04 12 40345.500 -2.585912421658402e-07 5.337241543080261e-07 -1.467368016764453e-08 1969 05 05 12 40346.500 -7.294398547470382e-08 4.938265256013451e-07 -1.497409024381290e-08 1969 05 06 12 40347.500 -2.742264658705055e-07 3.736636145160385e-07 -1.438127634587254e-08 1969 05 07 12 40348.500 -3.448217199323001e-07 3.486705242394687e-07 -1.374879071447388e-08 1969 05 08 12 40349.500 -2.930009604594262e-07 2.928317688062517e-07 -1.382339791650811e-08 1969 05 09 12 40350.500 -3.645823529804234e-07 3.523146227250221e-07 -1.392540811214424e-08 1969 05 10 12 40351.500 -3.781949598453892e-07 5.004671332618509e-07 -1.367421804572058e-08 1969 05 11 12 40352.500 -3.403206582512017e-07 5.533237020546086e-07 -1.392662784186649e-08 1969 05 12 12 40353.500 -3.229752779663829e-07 5.674280618715942e-07 -1.386675421377097e-08 1969 05 13 12 40354.500 -3.672177803997051e-07 5.119102943790682e-07 -1.410324028572582e-08 1969 05 14 12 40355.500 -4.395904186354110e-07 3.957380191504483e-07 -1.424597258932402e-08 1969 05 15 12 40356.500 -4.810553157124928e-07 4.969080404659078e-07 -1.428565583459729e-08 1969 05 16 12 40357.500 -4.433742389345901e-07 4.270762363433675e-07 -1.381644166463497e-08 1969 05 17 12 40358.500 -5.231753319915006e-07 3.801060703610268e-07 -1.361627600310590e-08 1969 05 18 12 40359.500 -4.630648698799099e-07 3.739554351709407e-07 -1.277288541196464e-08 1969 05 19 12 40360.500 -4.217524904157699e-07 3.456503284428166e-07 -1.218447858166521e-08 1969 05 20 12 40361.500 -4.705284605343428e-07 3.487895507819892e-07 -1.126347253925119e-08 1969 05 21 12 40362.500 -3.389600549119718e-07 4.626689184714170e-07 -1.082444054634842e-08 1969 05 22 12 40363.500 -4.531658047849536e-07 4.083312251757609e-07 -1.141007071455825e-08 1969 05 23 12 40364.500 -4.853618595605248e-07 3.787489351460925e-07 -1.126308873161720e-08 1969 05 24 12 40365.500 -5.517330551825530e-07 5.147660630316216e-07 -1.276872026980479e-08 1969 05 25 12 40366.500 -4.485135339237563e-07 4.521057778175708e-07 -1.354379666701988e-08 1969 05 26 12 40367.500 -4.141085441443713e-07 4.405108645008978e-07 -1.449668565094858e-08 1969 05 27 12 40368.500 -4.332293399003621e-07 4.641024306492086e-07 -1.447484203272525e-08 1969 05 28 12 40369.500 -4.407836830101848e-07 4.274189760382831e-07 -1.436004148492892e-08 1969 05 29 12 40370.500 -4.497619360015761e-07 4.012302785129479e-07 -1.492174442343052e-08 1969 05 30 12 40371.500 -3.338891353932626e-07 4.710700817157447e-07 -1.458142238136486e-08 1969 05 31 12 40372.500 -3.853544026038538e-07 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