Effective Angular Momentum Functions from geodetic residuals (mass+motion term) File name : ESMGFZ_GAHS_RL07_24h_1968.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 : 01.01.1968, 12:00 UTC until 31.12.1968, 12:00 UTC Temporal resolution : 24h Number of data records : 366 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 1968 01 01 12 39856.500 -3.129816475098516e-07 5.787677684047256e-07 -1.195420124348045e-08 1968 01 02 12 39857.500 -2.318241603785931e-07 5.181976004633029e-07 -1.166135303203468e-08 1968 01 03 12 39858.500 -2.817722536049643e-07 3.987535731172540e-07 -1.205407773723765e-08 1968 01 04 12 39859.500 -2.779729594589372e-07 2.149475674792199e-07 -1.228240447970230e-08 1968 01 05 12 39860.500 -3.890692202478395e-07 3.220772385347598e-07 -1.222506771362810e-08 1968 01 06 12 39861.500 -4.432830219010238e-07 2.718249855430969e-07 -1.268210866530150e-08 1968 01 07 12 39862.500 -4.894664538748234e-07 2.189176653027825e-07 -1.371188421157371e-08 1968 01 08 12 39863.500 -3.834643253686802e-07 2.627394419831241e-07 -1.493388468527932e-08 1968 01 09 12 39864.500 -3.869453795255147e-07 3.508549374688546e-07 -1.515623131385228e-08 1968 01 10 12 39865.500 -3.462020679224325e-07 3.779766487754633e-07 -1.553671248378342e-08 1968 01 11 12 39866.500 -3.357365664437864e-07 3.090467396824420e-07 -1.531274662609375e-08 1968 01 12 12 39867.500 -4.590495157487425e-07 3.967227265555438e-07 -1.426868387679792e-08 1968 01 13 12 39868.500 -4.784527352699100e-07 5.206601132525482e-07 -1.400418853629460e-08 1968 01 14 12 39869.500 -5.514134892212997e-07 6.342910084616949e-07 -1.403688362978332e-08 1968 01 15 12 39870.500 -4.544680065765216e-07 7.172322693892030e-07 -1.395827432348670e-08 1968 01 16 12 39871.500 -4.102445081434330e-07 7.082973267850672e-07 -1.361081549007166e-08 1968 01 17 12 39872.500 -4.640755989592306e-07 6.683311768907392e-07 -1.312271712412727e-08 1968 01 18 12 39873.500 -3.479318615914679e-07 7.838364397504920e-07 -1.308275185179000e-08 1968 01 19 12 39874.500 -1.903057145631174e-07 8.727452577796304e-07 -1.343414939178396e-08 1968 01 20 12 39875.500 -2.013662055874783e-07 8.364867963307194e-07 -1.373912576781301e-08 1968 01 21 12 39876.500 -2.048844679243924e-07 7.237896988215269e-07 -1.431462131006679e-08 1968 01 22 12 39877.500 -3.846852368215345e-07 6.027614576467494e-07 -1.467805066055415e-08 1968 01 23 12 39878.500 -2.778704625863385e-07 5.173050963740750e-07 -1.511439408402219e-08 1968 01 24 12 39879.500 -3.189060183420681e-07 5.948229974189350e-07 -1.497559101225046e-08 1968 01 25 12 39880.500 -3.707301537505139e-07 5.363070218118884e-07 -1.434361545968000e-08 1968 01 26 12 39881.500 -4.986911499269260e-07 5.362917581118672e-07 -1.431535068873341e-08 1968 01 27 12 39882.500 -4.638777850169460e-07 5.518915509992538e-07 -1.450623865249648e-08 1968 01 28 12 39883.500 -5.420598031084193e-07 6.089802292210788e-07 -1.451694186296881e-08 1968 01 29 12 39884.500 -4.599635989453873e-07 7.338693822505265e-07 -1.444608185983509e-08 1968 01 30 12 39885.500 -3.665150441329478e-07 8.467143267995818e-07 -1.384330160761416e-08 1968 01 31 12 39886.500 -4.164018553965276e-07 8.583024923305162e-07 1.143279271517266e-06 1968 02 01 12 39887.500 -3.931433835189613e-07 7.613800678977338e-07 -1.412593739907377e-08 1968 02 02 12 39888.500 -3.337300325159330e-07 7.564136164746360e-07 -1.373706578282874e-08 1968 02 03 12 39889.500 -3.845814783625768e-07 8.831568031925612e-07 -1.321041859540496e-08 1968 02 04 12 39890.500 -3.163966443663438e-07 8.210549530685999e-07 -1.295501671850601e-08 1968 02 05 12 39891.500 -2.835602267887581e-07 7.078826999056210e-07 -1.340699668138975e-08 1968 02 06 12 39892.500 -3.863889559775741e-07 6.392355519652198e-07 -1.378772044939041e-08 1968 02 07 12 39893.500 -3.982459150596145e-07 6.241482197677388e-07 -1.419645761974992e-08 1968 02 08 12 39894.500 -2.778802020310763e-07 6.482526243976022e-07 -1.401525746369191e-08 1968 02 09 12 39895.500 -2.392008546711399e-07 5.961122478103365e-07 -1.377165043594830e-08 1968 02 10 12 39896.500 -3.438787777680004e-07 7.476949455499377e-07 -1.372512316334744e-08 1968 02 11 12 39897.500 -2.935103506614004e-07 6.660721174372361e-07 -1.412752063638759e-08 1968 02 12 12 39898.500 -4.313675140170583e-07 6.227571578520575e-07 -1.439122220755672e-08 1968 02 13 12 39899.500 -5.178928333417124e-07 5.822192773440651e-07 -1.491119698255136e-08 1968 02 14 12 39900.500 -5.056857770205647e-07 6.491647036470105e-07 -1.520910903649741e-08 1968 02 15 12 39901.500 -5.005079617613668e-07 7.613712763570875e-07 -1.567487324566932e-08 1968 02 16 12 39902.500 -5.805640847186109e-07 8.299281690832542e-07 -1.610751070761598e-08 1968 02 17 12 39903.500 -6.760656297524499e-07 8.539250111316421e-07 -1.711350362421923e-08 1968 02 18 12 39904.500 -6.205113422567933e-07 9.907198240770402e-07 -1.748121809238297e-08 1968 02 19 12 39905.500 -5.274170665585483e-07 9.496145623952191e-07 -1.764538850821199e-08 1968 02 20 12 39906.500 -5.301077627934864e-07 8.788272956281282e-07 -1.758905587394351e-08 1968 02 21 12 39907.500 -5.303389701107986e-07 9.749462687103979e-07 -1.690359983878358e-08 1968 02 22 12 39908.500 -4.102176383942764e-07 1.222388107447029e-06 -1.508920507143724e-08 1968 02 23 12 39909.500 -2.728788230360578e-07 1.049535788004020e-06 -1.487267518035071e-08 1968 02 24 12 39910.500 -1.869241302564049e-07 9.243252606788746e-07 -1.528770461241915e-08 1968 02 25 12 39911.500 -3.281667180038593e-07 6.566441936365844e-07 -1.512812053747005e-08 1968 02 26 12 39912.500 -4.159652224568155e-07 5.550869089796178e-07 -1.489694288468884e-08 1968 02 27 12 39913.500 -3.631183408683117e-07 6.026190733933640e-07 -1.468926529777458e-08 1968 02 28 12 39914.500 -3.739104510876504e-07 7.592068764321364e-07 -1.508882022146260e-08 1968 02 29 12 39915.500 -3.056937151433541e-07 7.374007273217200e-07 -1.472337022579739e-08 1968 03 01 12 39916.500 -3.340699353791269e-07 7.332538167742324e-07 -1.512104686913384e-08 1968 03 02 12 39917.500 -2.450887048982768e-07 6.979953020603543e-07 -1.567079312985786e-08 1968 03 03 12 39918.500 -2.129108940138072e-07 4.789476129823920e-07 -1.540934638509991e-08 1968 03 04 12 39919.500 -2.889554443599449e-07 4.915344110871346e-07 -1.520954271409688e-08 1968 03 05 12 39920.500 -2.887877350937312e-07 6.744194110654370e-07 -1.535377168559586e-08 1968 03 06 12 39921.500 -4.130206869888920e-07 6.767608682120353e-07 -1.504773026119168e-08 1968 03 07 12 39922.500 -4.043468286381968e-07 7.247274149008966e-07 -1.465839482680913e-08 1968 03 08 12 39923.500 -3.816498495167943e-07 5.279774898550592e-07 -1.437355184744316e-08 1968 03 09 12 39924.500 -4.878291010297147e-07 4.295185892101362e-07 -1.407312084326423e-08 1968 03 10 12 39925.500 -5.505791131225590e-07 3.299090990313569e-07 -1.379562502414245e-08 1968 03 11 12 39926.500 -5.691132680115297e-07 4.221189132568941e-07 -1.347801973100970e-08 1968 03 12 12 39927.500 -3.323060385634256e-07 4.843670815260047e-07 -1.321791134683366e-08 1968 03 13 12 39928.500 -3.389945651358030e-07 3.332987338116720e-07 -1.301800380002234e-08 1968 03 14 12 39929.500 -2.802296619547389e-07 3.762021536240816e-07 -1.306862538493599e-08 1968 03 15 12 39930.500 -2.587595188696389e-07 3.014645453256927e-07 -1.377090934859644e-08 1968 03 16 12 39931.500 -2.278953251415071e-07 4.384373163089832e-07 -1.423426894545923e-08 1968 03 17 12 39932.500 -2.134392519409737e-07 4.045123354739494e-07 -1.409434138903425e-08 1968 03 18 12 39933.500 -2.897422297846547e-07 1.800406049371123e-07 -1.412775279522309e-08 1968 03 19 12 39934.500 -3.193749492257865e-07 2.158083859150597e-07 -1.399528417644601e-08 1968 03 20 12 39935.500 -4.496880816365201e-07 2.077024527524986e-07 -1.416122888700702e-08 1968 03 21 12 39936.500 -4.432111599405227e-07 4.331220460436702e-07 -1.419414072001682e-08 1968 03 22 12 39937.500 -2.791218045956900e-07 5.783122799036972e-07 -1.498153713659941e-08 1968 03 23 12 39938.500 -8.368780180544661e-08 6.156517292196982e-07 -1.534184640416583e-08 1968 03 24 12 39939.500 -7.949995759006243e-08 5.189499717982936e-07 -1.569887060758153e-08 1968 03 25 12 39940.500 -6.849549773648953e-08 6.525518959995906e-07 -1.604007595030803e-08 1968 03 26 12 39941.500 5.424694075954191e-08 5.980039260466294e-07 -1.659226904745324e-08 1968 03 27 12 39942.500 4.710698505747488e-08 5.758343479918404e-07 -1.739896197533787e-08 1968 03 28 12 39943.500 -7.516118452619997e-08 4.502828398858337e-07 -1.757081618555050e-08 1968 03 29 12 39944.500 -1.329163927104752e-07 4.053207774662421e-07 -1.797294045940990e-08 1968 03 30 12 39945.500 -1.488219874440430e-07 3.980682209558653e-07 -1.834677892146503e-08 1968 03 31 12 39946.500 -2.461316939180633e-07 3.717504140412313e-07 -1.829741807303348e-08 1968 04 01 12 39947.500 -1.613242216301382e-07 5.483539826846288e-07 -1.861475940722204e-08 1968 04 02 12 39948.500 -1.961299499310543e-07 6.896406793734765e-07 -1.854789043063595e-08 1968 04 03 12 39949.500 -1.533005210814945e-07 7.759688510304023e-07 -1.701223116400019e-08 1968 04 04 12 39950.500 -1.321747226478022e-07 7.844939665248359e-07 -1.729589643872024e-08 1968 04 05 12 39951.500 -1.493923960094056e-07 7.368734102496600e-07 -1.702308663560959e-08 1968 04 06 12 39952.500 -2.323356216724717e-07 7.628064410447540e-07 -1.637488529423710e-08 1968 04 07 12 39953.500 -1.753250496417295e-07 9.091925869566316e-07 -1.499843422072451e-08 1968 04 08 12 39954.500 -1.022262455751980e-07 9.910372552533851e-07 -1.440272386391005e-08 1968 04 09 12 39955.500 1.999850822239288e-08 9.013803920424093e-07 -1.375451034045436e-08 1968 04 10 12 39956.500 -1.498047979926514e-08 7.557969859786828e-07 -1.364054380515994e-08 1968 04 11 12 39957.500 3.505141587826449e-08 6.810767333357593e-07 -1.259447964092985e-08 1968 04 12 12 39958.500 -6.127467273141421e-08 6.730765851653252e-07 -1.305459616824946e-08 1968 04 13 12 39959.500 -1.780927672976260e-07 6.013221793043183e-07 -1.292101760622726e-08 1968 04 14 12 39960.500 -2.565526367318687e-07 6.263946636698301e-07 -1.249300339789429e-08 1968 04 15 12 39961.500 -2.828979898683754e-07 7.730534762910977e-07 -1.306012705696085e-08 1968 04 16 12 39962.500 -2.339881875775818e-07 8.997148999286827e-07 -1.299732872764471e-08 1968 04 17 12 39963.500 -1.966590640623549e-07 7.359493574802226e-07 -1.336050475198716e-08 1968 04 18 12 39964.500 -5.661463273300001e-08 7.467473003843444e-07 -1.378063309367761e-08 1968 04 19 12 39965.500 -3.955562015831892e-08 5.548636028070335e-07 -1.330775772913865e-08 1968 04 20 12 39966.500 -9.210890987175454e-08 5.699873127847341e-07 -1.292558995180368e-08 1968 04 21 12 39967.500 -1.721278813380822e-07 4.662722763779839e-07 -1.274610573094686e-08 1968 04 22 12 39968.500 -2.219842771653764e-07 5.761877488384942e-07 -1.285494358442470e-08 1968 04 23 12 39969.500 -1.562260751145636e-07 7.444814177916953e-07 -1.272623005066751e-08 1968 04 24 12 39970.500 -1.869424114601917e-07 6.857231011686000e-07 -1.364601943980478e-08 1968 04 25 12 39971.500 -1.869373257596560e-07 5.821427028111598e-07 -1.508275883653068e-08 1968 04 26 12 39972.500 -2.609734833062483e-07 5.191193083451141e-07 -1.583987918534670e-08 1968 04 27 12 39973.500 -1.943733109975854e-07 4.911038782169715e-07 -1.555538241378990e-08 1968 04 28 12 39974.500 -2.498607263654801e-07 5.357181782439865e-07 -1.530814475722897e-08 1968 04 29 12 39975.500 -2.786770797014886e-07 5.287181142604408e-07 -1.569806331698491e-08 1968 04 30 12 39976.500 -2.836463891770311e-07 5.715050791869255e-07 -1.588930034113841e-08 1968 05 01 12 39977.500 -2.166836518710660e-07 6.695211102300071e-07 -1.590786020984871e-08 1968 05 02 12 39978.500 -2.364158229949434e-07 5.959759487581829e-07 -1.596553946453250e-08 1968 05 03 12 39979.500 -2.193573830778692e-07 4.956001935013451e-07 -1.565930291533619e-08 1968 05 04 12 39980.500 -3.491984826372492e-07 4.492140531622227e-07 -1.539596472107595e-08 1968 05 05 12 39981.500 -2.473455209912208e-07 5.757268513147785e-07 -1.527217373108643e-08 1968 05 06 12 39982.500 -1.774656599317256e-07 4.186135942852467e-07 -1.459277558492058e-08 1968 05 07 12 39983.500 -3.203828051558372e-07 4.210895617968784e-07 -1.493281979911450e-08 1968 05 08 12 39984.500 -4.002324982793700e-07 3.553528919383020e-07 -1.491365627919236e-08 1968 05 09 12 39985.500 -2.278701557263680e-07 3.298563241388095e-07 -1.516743558915812e-08 1968 05 10 12 39986.500 -2.326234062188106e-07 2.928222702868208e-07 -1.529646602087589e-08 1968 05 11 12 39987.500 -1.961749323056291e-07 4.125041822538882e-07 -1.556128711259086e-08 1968 05 12 12 39988.500 -2.932288404736803e-07 4.088523077793523e-07 -1.483537811793060e-08 1968 05 13 12 39989.500 -2.829554515392968e-07 4.083159208869456e-07 -1.416512088355982e-08 1968 05 14 12 39990.500 -2.594861184944475e-07 4.085818020555444e-07 -1.360245009708709e-08 1968 05 15 12 39991.500 -2.098005032736093e-07 4.559028560994036e-07 -1.380849393923393e-08 1968 05 16 12 39992.500 -1.924312696337186e-07 4.024021179062073e-07 -1.368095495455755e-08 1968 05 17 12 39993.500 -3.113828731402402e-07 3.862059122170776e-07 -1.326496984740249e-08 1968 05 18 12 39994.500 -3.985874294162060e-07 3.030730493914568e-07 -1.335215483574245e-08 1968 05 19 12 39995.500 -4.080751374335719e-07 3.377279213937248e-07 -1.395907648805666e-08 1968 05 20 12 39996.500 -4.683542962801619e-07 3.521453786311365e-07 -1.411431336362638e-08 1968 05 21 12 39997.500 -4.183240842661925e-07 5.544718734939883e-07 -1.388204971115826e-08 1968 05 22 12 39998.500 -3.284101699230267e-07 6.056358925849772e-07 -1.436558308076979e-08 1968 05 23 12 39999.500 -2.814188765017020e-07 6.547778304560256e-07 -1.515220870692884e-08 1968 05 24 12 40000.500 -1.399074494962931e-07 5.713287627972290e-07 -1.493321365956718e-08 1968 05 25 12 40001.500 -1.993604701115511e-07 5.216507301133998e-07 -1.507756538889765e-08 1968 05 26 12 40002.500 -2.037585598715418e-07 3.122539812501428e-07 -1.527599220802568e-08 1968 05 27 12 40003.500 -3.181199942674480e-07 3.954871016330025e-07 -1.489062050647234e-08 1968 05 28 12 40004.500 -2.778935003238549e-07 4.564225386715173e-07 -1.405368517273341e-08 1968 05 29 12 40005.500 -2.178530640580559e-07 4.355772693695204e-07 -1.446085912654673e-08 1968 05 30 12 40006.500 -2.237358906795440e-07 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