JTRF2014 Solution

Geocenter, Scale, & Helmerts

About Geocenter, Scale, & Helmerts

Below you will find summaries of Geocenter, Scale, and Helmert Transformation Parameters in relation to the JTRF2014 solution. For more in depth information for each, read Abbondanza et al., 2017.

Geocenter Motion

A Geocentric Terrestrial Reference System (GTRS) has been jointly defined by the International Astronomical Union (IAU) and the International Union of Geodesy and Geophysics (IUGG) as

  • a system of Geocentric space-time coordinates within the framework of general relativity
  • co-rotating with the Earth
  • and related to the Geocentric Celestial Reference System by a spatial rotation taking into account the Earth Orientation Parameters

How do we define origin?

To define origin, the Helmert transformation parameter TL in the rank-deficient system of equations 5 of Abbondanza et al., 2017 are set to zero during the measurement update.

  • The condition TL=0 ensures translations are not estimated for SLR at each step of the measurement update, thus entailing the origin of the SLR network is not going to be adjusted. Since translations for the remaining SG techniques are not set to zero, the origin of VLBI, GNSS, and DORIS networks are conversely being adjusted to SLR’s quasi instantaneous origin (CM).
Use the top row headings to sort each column. If you have any questions or inquiries, please contact us.
Time (yyyy.yyyy)Variation along the X-axis (mm)Uncertainties (mm)
1979.9090-0.663817139937209E+000.465125460477399E+01
1979.9281-0.473853955919441E+000.464447091707324E+01
1979.9473-0.320772518237130E+000.463771509192689E+01
1979.9665-0.204087396991150E+000.463099127118075E+01
1979.9856-0.121676285276548E+000.462429595804064E+01
1980.0055-0.698890684054893E-010.461762858747653E+01
1980.0246-0.440248105729175E-010.461097944595340E+01
1980.0438-0.384503823750345E-010.460434253625994E+01
1980.0630-0.461129804577601E-010.459771197511564E+01
1980.0821-0.605400687585389E-010.459107329272120E+01
1980.1013-0.761827873471856E-010.458442024162912E+01
1980.1205-0.879011563290941E-010.457774367612479E+01
1980.1396-0.922027534744038E-010.457104751463907E+01
1980.1588-0.873393688342043E-010.456431148752549E+01
1980.1780-0.738308157537852E-010.455753386057057E+01
1980.1971-0.529203501404667E-010.455070259069832E+01
1980.2163-0.277662867964256E-010.454382332075927E+01
1980.2355-0.238239019697009E-020.453688041165567E+01
1980.25460.187986764430134E-010.452988422377581E+01
1980.27380.305722265408171E-010.452285117195238E+01
1980.29300.294101389765757E-010.451613799207167E+01
1980.31210.952959681276233E-020.450939408806005E+01
1980.3313-0.340867389678756E-010.450260645870428E+01
1980.3504-0.106202157263334E+000.449577270918386E+01
1980.3696-0.210999704843641E+000.448888127440849E+01
1980.3888-0.351346714846334E+000.448193643719458E+01
1980.4079-0.528692895271669E+000.447494011947448E+01
1980.4271-0.741081662769690E+000.446789738215906E+01
1980.4463-0.985463388844131E+000.446080971185840E+01
1980.4654-0.125584334150603E+010.445369796980453E+01
1980.4846-0.154493083223129E+010.444655269116332E+01
1980.5038-0.184398306148681E+010.443938916764181E+01
1980.5229-0.214237523059548E+010.443221589395688E+01
1980.5421-0.242996808966878E+010.442503621590395E+01
1980.5613-0.269634411196625E+010.441785344544733E+01
1980.5804-0.292752930893437E+010.441080344034929E+01
1980.5996-0.311836928050956E+010.440371538785978E+01
1980.6188-0.326573625731807E+010.439654773298858E+01
1980.6379-0.336459900484655E+010.438926836827006E+01
1980.6571-0.341457546235291E+010.438185524325693E+01
1980.6762-0.341841758317284E+010.437427740183289E+01
1980.6954-0.338007895501240E+010.436653257899494E+01
1980.7146-0.330480589449496E+010.435859646857164E+01
1980.7337-0.319428654600584E+010.435049187425625E+01
1980.7529-0.299690540861418E+010.434246576710571E+01
1980.7721-0.269326409382651E+010.433508722406538E+01
1980.7912-0.235000250299623E+010.432764721305051E+01
1980.8104-0.199217589429975E+010.432036251181986E+01
1980.8296-0.164614708731133E+010.431351912584473E+01
1980.8487-0.130777154573356E+010.430663340849466E+01
1980.8679-0.989318412329707E+000.429971404380411E+01
1980.8871-0.699263856262031E+000.429277131502803E+01
1980.9062-0.445186922725310E+000.428580710991593E+01
1980.9254-0.229729116236818E+000.427883242872280E+01
1980.9446-0.551343781648872E-010.427184422473841E+01
1980.96370.783942276790438E-010.426484416616687E+01
1980.98290.173993503691112E+000.425783662418075E+01
1981.00210.234698181190072E+000.425081548978662E+01
1981.01920.265233280642163E+000.424377457017228E+01
1981.03830.271747785312913E+000.423670398766277E+01
1981.05750.261487192147244E+000.422960202850676E+01
1981.07670.241277481080220E+000.422245946310348E+01
1981.09580.218463603944492E+000.421527125471382E+01
1981.11500.197447503865800E+000.420803202758808E+01
1981.13420.182115092803487E+000.420074468110227E+01
1981.15330.175598289340401E+000.419339108912289E+01
1981.17250.177360297595194E+000.418597502814298E+01
1981.19160.185931226910871E+000.417847919961429E+01
1981.21080.199082988603595E+000.417090331194576E+01
1981.23000.213268732988130E+000.416323748309001E+01
1981.24910.224250339695380E+000.415549398064368E+01
1981.26830.227567877555201E+000.414767436610429E+01
1981.28750.218520921175320E+000.413978934068235E+01
1981.30660.191538539292525E+000.413183836581520E+01
1981.32580.141326065547401E+000.412383373639206E+01
1981.34500.632770528358142E-010.411575251513202E+01
1981.3641-0.484497991289498E-010.410760032430855E+01
1981.3833-0.196993130409244E+000.409937321406896E+01
1981.4025-0.383424330391502E+000.409107885867608E+01
1981.4216-0.606648645014078E+000.408271822924439E+01
1981.4408-0.863064935336082E+000.407430561918541E+01
1981.4600-0.114674312378448E+010.406583880101247E+01
1981.4791-0.145263810531743E+010.405763661724621E+01
1981.4983-0.176839449362564E+010.404939059898900E+01
1981.5175-0.208382237968726E+010.404110308126517E+01
1981.5366-0.238703073508991E+010.403279450440648E+01
1981.5558-0.266650898476798E+010.402443915084732E+01
1981.5749-0.291079468960195E+010.401602871334617E+01
1981.5941-0.311130279746032E+010.400755283343442E+01
1981.6133-0.326026911065746E+010.399901140745090E+01
1981.6324-0.335153695291048E+010.399037595112425E+01
1981.6516-0.338166209394625E+010.398163690446981E+01
1981.6708-0.335033050120818E+010.397279049599249E+01
1981.6899-0.325815240486626E+010.396382608234570E+01
1981.7091-0.310858732909681E+010.395475984985518E+01
1981.7283-0.290720865134831E+010.394558475226522E+01
1981.7474-0.266084978519391E+010.393630516571809E+01
1981.7666-0.237893117914702E+010.392693164507290E+01
1981.7858-0.207208008457854E+010.391747867345848E+01
1981.8049-0.175001013744445E+010.390794821134197E+01
1981.8241-0.142411982049037E+010.389836074326678E+01
1981.8433-0.110480059932482E+010.388872524054566E+01
1981.8624-0.802954247651319E+000.387903526467903E+01
1981.8816-0.525900436161789E+000.386929902224453E+01
1981.9008-0.293772263354860E+000.386026706002613E+01
1981.9199-0.966057294318388E-010.385117843598705E+01
1981.93910.639440455642902E-010.384203601010159E+01
1981.95820.187629546648730E+000.383283648663178E+01
1981.97740.276662407251482E+000.382357022489082E+01
1981.99660.334232360953540E+000.381423492497439E+01
1982.01640.364810700130175E+000.380482147429003E+01
1982.03560.374918515232724E+000.379531977646203E+01
1982.05480.369813847113768E+000.378572929887709E+01
1982.07390.356403607514747E+000.377603910260457E+01
1982.09310.341143221932825E+000.376624938460412E+01
1982.11230.328405239775907E+000.375635783294654E+01
1982.13140.321925376223166E+000.374636072125613E+01
1982.15060.324166868411847E+000.373624453334871E+01
1982.16970.335304426295334E+000.372601232906969E+01
1982.18890.353704524428374E+000.371564667523443E+01
1982.20810.377287956510176E+000.370514589052649E+01
1982.22720.401715765944628E+000.369451763777042E+01
1982.24640.422304962366173E+000.368373225866984E+01
1982.26560.433627274704128E+000.367281336979963E+01
1982.28470.431022074712800E+000.366175324041589E+01
1982.30390.408810372390979E+000.365056755257089E+01
1982.32310.362488583447207E+000.363925986944013E+01
1982.34220.286969216194568E+000.362782385689434E+01
1982.36140.178550349105408E+000.361625661449246E+01
1982.38060.343530099844107E-010.360455433804411E+01
1982.3997-0.146245844316633E+000.359272064294067E+01
1982.4189-0.361910140201889E+000.358075100853994E+01
1982.4381-0.608823691960436E+000.356862925711230E+01
1982.4572-0.880066499392756E+000.355635588904316E+01
1982.4764-0.115253734675324E+010.354425214246198E+01
1982.4956-0.148423836801903E+010.353254867267054E+01
1982.5147-0.181338892079722E+010.352064831616033E+01
1982.5339-0.212880219742671E+010.350855897955363E+01
1982.5530-0.241908209771176E+010.349628124439191E+01
1982.5722-0.267337760656692E+010.348381382338479E+01
1982.5914-0.288209015097444E+010.347114255832305E+01
1982.6105-0.303709849400314E+010.345825799550943E+01
1982.6297-0.313261897157067E+010.344515215328072E+01
1982.6489-0.316468501675257E+010.343182598532641E+01
1982.6680-0.313150369199472E+010.341826872543103E+01
1982.6872-0.303478902193815E+010.340448551228031E+01
1982.7064-0.287789917203353E+010.339047629051936E+01
1982.7255-0.266680073197267E+010.337624555247797E+01
1982.7447-0.240924175383982E+010.336179376926807E+01
1982.7639-0.211499920293818E+010.334712786096734E+01
1982.7830-0.179503655771066E+010.333225905521575E+01
1982.8022-0.146109982282035E+010.331719401224232E+01
1982.8214-0.112702233654974E+010.330222270332636E+01
1982.8405-0.802137515313760E+000.328707220503125E+01
1982.8597-0.495008876816738E+000.327171164799278E+01
1982.8789-0.213423844492872E+000.325612410365976E+01
1982.89800.375530330668408E-010.324027153070895E+01
1982.91720.254226774952192E+000.322414368371925E+01
1982.93630.435597605138963E+000.320771283648137E+01
1982.95550.582649752552888E+000.319094304545609E+01
1982.97470.680180655542231E+000.317444982471060E+01
1982.99380.749899849338624E+000.315757499877025E+01
1983.01370.795532242348268E+000.314031214088631E+01
1983.03290.822519642423879E+000.312263832838882E+01
1983.05200.836868534886539E+000.310454231277908E+01
1983.07120.844975298590834E+000.308599299193583E+01
1983.09030.851866794659725E+000.306700277485799E+01
1983.10950.861886153866976E+000.304755933972318E+01
1983.12870.878364520624992E+000.302765740196962E+01
1983.14780.903428603574479E+000.300727413033827E+01
1983.16700.937526150490452E+000.298639154787319E+01
1983.18620.979095749659464E+000.296500293507126E+01
1983.20530.102530546579989E+010.294308807900533E+01
1983.22450.107251500580553E+010.292061158080268E+01
1983.24370.111579976534805E+010.289756062611630E+01
1983.26280.114982232391174E+010.287390171198828E+01
1983.28200.116987270086145E+010.284961500318685E+01
1983.30120.117083540625262E+010.282465208637287E+01
1983.32030.114835837916752E+010.279896314444254E+01
1983.33950.111382788254420E+010.277976455996444E+01
1983.35870.104722576629415E+010.276004080411146E+01
1983.37780.945244598894445E+000.273961485403419E+01
1983.39700.806997564815450E+000.271840445702307E+01
1983.41620.633864379724842E+000.269635634231092E+01
1983.43530.428780724577823E+000.267339688756438E+01
1983.45450.199459860308738E+000.264951935160970E+01
1983.4736-0.470473285931677E-010.262458296457714E+01
1983.4928-0.300241241760151E+000.259850000191089E+01
1983.5120-0.548346628135527E+000.257116530902750E+01
1983.5311-0.778927922614362E+000.254245565056960E+01
1983.5503-0.978163823046338E+000.251223214874126E+01
1983.5695-0.113196796457170E+010.248031967724771E+01
1983.5886-0.122742901229616E+010.244650610326612E+01
1983.6078-0.125120570738590E+010.241053426183037E+01
1983.6270-0.119119171616770E+010.237207848457661E+01
1983.6461-0.103358693942786E+010.233072068508579E+01
1983.6653-0.764034932230796E+000.228590419108281E+01
1983.6845-0.368248029771351E+000.223689512901270E+01
1983.70360.173069754462472E+000.218263883701423E+01
1983.72280.887001578069372E+000.212162918546215E+01
1983.74200.181286342934914E+010.205162015204062E+01
1983.76110.300537766224310E+010.196911633446688E+01
1983.78030.249350337154170E+010.194693161598839E+01
1983.79950.197635101427655E+010.191835716811463E+01
1983.81860.115246487190153E+010.191229071760140E+01
1983.83780.349134015841813E+000.189691160385299E+01
1983.8569-0.499140046293483E+000.187104533560934E+01
1983.8761-0.119450322121121E+010.186798288539999E+01
1983.8953-0.191615818715920E+010.185121426029781E+01
1983.9144-0.204590321140336E+010.185144901903821E+01
1983.9336-0.224485566243590E+010.183846097176155E+01
1983.9528-0.209860145937004E+010.184648563914864E+01
1983.9719-0.205404688101234E+010.184262638439241E+01
1983.9911-0.206800507576104E+010.183100929824231E+01
1984.0110-0.215085542752211E+010.181134516830717E+01
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1984.1643-0.202024561705926E+010.178601327754561E+01
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1984.79670.116036410463365E+010.121509474321750E+01
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1984.83500.173893552895608E+010.129415076390021E+01
1984.85420.145914761715964E+010.132306029138195E+01
1984.87340.129475455818292E+010.133656219535284E+01
1984.89250.122199678735426E+010.133797624655316E+01
1984.91170.120205591666882E+010.132535799942967E+01
1984.93090.108870324399257E+010.132405250089137E+01
1984.95000.103009532769581E+010.130685932495463E+01
1984.96920.122139010375319E+010.132634843507651E+01
1984.98840.142478689292155E+010.133187577667216E+01
1985.00550.164253607832205E+010.132331140116511E+01
1985.02460.167863564118654E+010.134854151645845E+01
1985.04380.171888887991749E+010.136062840059761E+01
1985.06300.164936491571696E+010.136432832725276E+01
1985.08210.162557044090168E+010.135584273885416E+01
1985.10130.155215215129711E+010.137206945462694E+01
1985.12050.148331749188406E+010.137647591746693E+01
1985.13960.147768578973946E+010.138157559946017E+01
1985.15880.150056893137099E+010.137613950977087E+01
1985.17800.154659196604628E+010.136000024167925E+01
1985.19710.162640236053574E+010.133258755980715E+01
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2013.31210.274521675001780E+010.291885939462605E+00
2013.33130.251321037138032E+010.296645316777372E+00
2013.35040.216942317205269E+010.307078942593900E+00
2013.36960.178928033863618E+010.298953844443709E+00
2013.38880.167087592093617E+010.300023452955958E+00
2013.40790.142373015611379E+010.302748553786317E+00
2013.42710.149768084134162E+010.299880211862829E+00
2013.44630.914552997994227E+000.307675326599078E+00
2013.46540.683935678678179E+000.295451582620199E+00
2013.4846-0.143040458576582E+000.303490516953229E+00
2013.5038-0.126848132394978E+000.298419114295841E+00
2013.5229-0.786564541898883E+000.304916361002992E+00
2013.5421-0.109870038475989E+010.300300276413374E+00
2013.5613-0.128015448302304E+010.309376089758741E+00
2013.5804-0.138517290091043E+010.302168067755241E+00
2013.5996-0.186251070952612E+010.310028035351432E+00
2013.6188-0.166533240934746E+010.307156934446670E+00
2013.6379-0.223322498189511E+010.313927352801801E+00
2013.6571-0.253291911573891E+010.314488263618407E+00
2013.6762-0.259134053384787E+010.307375667857773E+00
2013.6954-0.245983209532292E+010.304840742877604E+00
2013.7146-0.220882153600066E+010.298865079376430E+00
2013.7337-0.163216544644944E+010.299068626807341E+00
2013.7529-0.111696341576090E+010.301086335558711E+00
2013.7721-0.803983944787420E+000.307106228419921E+00
2013.7912-0.878113035135911E+000.298570473965485E+00
2013.8104-0.716876540486800E-010.295601975104913E+00
2013.8296-0.174176638853711E+000.305926643783654E+00
2013.84870.406949271272271E+000.298789340790631E+00
2013.86790.102417349141158E+010.292033251648024E+00
2013.88710.153766755816156E+010.297773880657355E+00
2013.90620.224428443692802E+010.296628642899683E+00
2013.92540.209239696275261E+010.304502218276072E+00
2013.94460.238011870468848E+010.302454820892980E+00
2013.96370.252596327949398E+010.309601945420750E+00
2013.98290.294413451688242E+010.318694220523853E+00
2014.00270.295699656782911E+010.320865954711898E+00
2014.02190.294902563602088E+010.316825096302968E+00
2014.04110.214278680346105E+010.308578125899733E+00
2014.06020.230507093973260E+010.320874586793034E+00
2014.07940.211699905102173E+010.322906868848183E+00
2014.09860.188777190058191E+010.311114535865981E+00
2014.11770.169781297856516E+010.321497246962320E+00
2014.13690.182928326333691E+010.318347506039004E+00
2014.15610.229778094534228E+010.309655178567772E+00
2014.17520.202727590604036E+010.309698598535002E+00
2014.19440.253181072115855E+010.310711235589378E+00
2014.21360.192206879101384E+010.312079767188052E+00
2014.23270.187680574453102E+010.307009226405224E+00
2014.25190.185213461713396E+010.307678296001195E+00
2014.27100.196494548680843E+010.307317304127412E+00
2014.29020.203319588051957E+010.312881176626331E+00
2014.30940.177602177966867E+010.313820425873846E+00
2014.32850.173221860063957E+010.317668454984225E+00
2014.34770.169062801466294E+010.310770421212130E+00
2014.36690.189755260554835E+010.320250882429667E+00
2014.38600.178246943498350E+010.309404107755211E+00
2014.40520.181383957307687E+010.317070359402681E+00
2014.42440.158058355000937E+010.305379578767576E+00
2014.44350.134490784892351E+010.327193734297534E+00
2014.46270.111418708258093E+010.318321486404271E+00
2014.48190.934935228897809E+000.310081028082047E+00
2014.50100.109159047417611E+010.313743259915975E+00
2014.52020.549416542517295E+000.318013062870225E+00
2014.5394-0.496482992775487E+000.316077703891728E+00
2014.5585-0.955955960042514E+000.320754651849068E+00
2014.5777-0.827208275178732E+000.314713616787830E+00
2014.5969-0.106006848249445E+010.318092696465279E+00
2014.6160-0.151875550994103E+010.310862975607431E+00
2014.6352-0.180711300426730E+010.317208294431579E+00
2014.6543-0.223436270006284E+010.300366646209992E+00
2014.6735-0.127664507150042E+010.323897981989159E+00
2014.6927-0.158854420303579E+010.318886723442480E+00
2014.7118-0.132184211233048E+010.306076177682709E+00
2014.7310-0.137791017891653E+010.304401106547487E+00
2014.7502-0.114880259285820E+010.311917940487996E+00
2014.7693-0.108732394926585E+010.317317043931991E+00
2014.7885-0.888153288390108E+000.315898346377577E+00
2014.8077-0.661754869021469E+000.319116007867411E+00
2014.82680.363121174737781E+000.322830538878886E+00
2014.84600.383521177231382E+000.322747854926818E+00
2014.86520.101273629303000E+010.326327565468083E+00
2014.88430.104066567663732E+010.332320367936662E+00
2014.90350.899923526130240E+000.339568493374584E+00
2014.92270.157302006912084E+010.348334044091066E+00
2014.94180.144270797761198E+010.340526607617158E+00
2014.96100.147196242148075E+010.341446665836205E+00
2014.98020.228093359757113E+010.351638106960643E+00
2014.99930.251690082517086E+010.350865920918711E+00
2015.01920.262487824435279E+010.376922996440032E+00
2015.03830.294037377824123E+010.397815244624968E+00
2015.05750.210171456300964E+010.402869672524312E+00
2015.07670.197601975318526E+010.415097381605076E+00
2015.09580.219224807974902E+010.425681997254667E+00
2015.11500.188864400992076E+010.448188811209431E+00
Use the top row headings to sort each column. If you have any questions or inquiries, please contact us.
Time (yyyy.yyyy)Variation along the Y-axis (mm)Uncertainties (mm)
1979.90900.353313988215243E+010.401047376935810E+01
1979.92810.347747122536539E+010.400534326812491E+01
1979.94730.339846051849854E+010.400020180671396E+01
1979.96650.329855699553252E+010.399504064494237E+01
1979.98560.317887090035180E+010.398986037338627E+01
1980.00550.304070226861678E+010.398466283142911E+01
1980.02460.288435880947455E+010.397944701162670E+01
1980.04380.270965220866022E+010.397420750794720E+01
1980.06300.251653177627871E+010.396894616900204E+01
1980.08210.230395131693210E+010.396366487006350E+01
1980.10130.207128550696486E+010.395835184683367E+01
1980.12050.181778367933901E+010.395300856145767E+01
1980.13960.154352849591154E+010.394763460246807E+01
1980.15880.124867902199998E+010.394222342047060E+01
1980.17800.934447374970540E+000.393677738795310E+01
1980.19710.602742382158596E+000.393128702661778E+01
1980.21630.256731005971876E+000.392576553381441E+01
1980.2355-0.995919829949442E-010.392022514879845E+01
1980.2546-0.462003070661990E+000.391469724448288E+01
1980.2738-0.824558014709294E+000.390921737535197E+01
1980.2930-0.118036907862633E+010.390384820849008E+01
1980.3121-0.152094345634877E+010.389862252820072E+01
1980.3313-0.183717859177682E+010.389356288458729E+01
1980.3504-0.211934884119105E+010.388870641716795E+01
1980.3696-0.235900504213336E+010.388406309790528E+01
1980.3888-0.254768130190751E+010.387963396043436E+01
1980.4079-0.267955483767978E+010.387540505888741E+01
1980.4271-0.274954076883787E+010.387133263099256E+01
1980.4463-0.275448318689978E+010.386735607187286E+01
1980.4654-0.269424858654921E+010.386340720425792E+01
1980.4846-0.256935698815448E+010.385941280479642E+01
1980.5038-0.238293175569267E+010.385530055402320E+01
1980.5229-0.213931004923511E+010.385101856823233E+01
1980.5421-0.184451237044303E+010.384653536766852E+01
1980.5613-0.150542221786542E+010.384183097926712E+01
1980.5804-0.113197895248661E+010.383691607081327E+01
1980.5996-0.731440810651509E+000.383177062395124E+01
1980.6188-0.314286277773024E+000.382639376374269E+01
1980.63790.107255818692866E+000.382079820780486E+01
1980.65710.520965433308699E+000.381500527443187E+01
1980.67620.915127840946723E+000.380906740532535E+01
1980.69540.127613132800693E+010.380301243022943E+01
1980.71460.159421343921988E+010.379688937576583E+01
1980.73370.185941654370403E+010.379072777132781E+01
1980.75290.209591007067048E+010.378460029155369E+01
1980.77210.232620166074151E+010.377866932176286E+01
1980.79120.252562832987492E+010.377282421093259E+01
1980.81040.269165262084520E+010.376711095485115E+01
1980.82960.282679607564912E+010.376156405129307E+01
1980.84870.292493050804071E+010.375607615755301E+01
1980.86790.298857478495409E+010.375062136173441E+01
1980.88710.301990501998820E+010.374517517051479E+01
1980.90620.302157170113782E+010.373971989821663E+01
1980.92540.299667518651619E+010.373424348485569E+01
1980.94460.294745537313193E+010.372873499415809E+01
1980.96370.287521981641480E+010.372319099408661E+01
1980.98290.278226487924863E+010.371760359001263E+01
1981.00210.266786804909472E+010.371197098148974E+01
1981.01920.253278175214848E+010.370628443952757E+01
1981.03830.237680586236077E+010.370055001070241E+01
1981.05750.219956450924738E+010.369476368178348E+01
1981.07670.200063572406277E+010.368892391012461E+01
1981.09580.177931394043579E+010.368303281223587E+01
1981.11500.153562931466468E+010.367708964218488E+01
1981.13420.126982836386438E+010.367109061593328E+01
1981.15330.982809419707738E+000.366502806607581E+01
1981.17250.675731506427552E+000.365889656895466E+01
1981.19160.351201928478033E+000.365268887770725E+01
1981.21080.120875471307802E-010.364640578741001E+01
1981.2300-0.337347941739782E+000.364004862564660E+01
1981.2491-0.691099533447554E+000.363365667900686E+01
1981.2683-0.104311877385516E+010.362726270592842E+01
1981.2875-0.138601092546206E+010.362092782991973E+01
1981.3066-0.171223776926349E+010.361471477757586E+01
1981.3258-0.201336492765315E+010.360869444543273E+01
1981.3450-0.228057350343202E+010.360291758264009E+01
1981.3641-0.250696421034081E+010.359742953664403E+01
1981.3833-0.268557730205751E+010.359223917853020E+01
1981.4025-0.281034821924265E+010.358732609850866E+01
1981.4216-0.287662714625542E+010.358263524001054E+01
1981.4408-0.288167915915540E+010.357808887114366E+01
1981.4600-0.282430835432430E+010.357358017281338E+01
1981.4791-0.270485831850009E+010.356902550756853E+01
1981.4983-0.252537141884514E+010.356431665980806E+01
1981.5175-0.228972585515936E+010.355937578038269E+01
1981.5366-0.200249730246471E+010.355415497472712E+01
1981.5558-0.167034857567085E+010.354861174149165E+01
1981.5749-0.130011534286044E+010.354273386159791E+01
1981.5941-0.900284896168820E+000.353651556451281E+01
1981.6133-0.480746348654104E+000.352996557642657E+01
1981.6324-0.524022612822660E-010.352310944547733E+01
1981.65160.374732912102273E+000.351599704056801E+01
1981.67080.790199969277040E+000.350867606720232E+01
1981.68990.118495978576061E+010.350121915613844E+01
1981.70910.155110217516862E+010.349368884682048E+01
1981.72830.188209052962628E+010.348616725708915E+01
1981.74740.217265810023995E+010.347871113018034E+01
1981.76660.242006794676503E+010.347136279474365E+01
1981.78580.262255787922684E+010.346415227389433E+01
1981.80490.278037661438106E+010.345706915301007E+01
1981.82410.289488073217031E+010.345009583459634E+01
1981.84330.296866717862673E+010.344319421042549E+01
1981.86240.300527681379362E+010.343632984476648E+01
1981.88160.300848384752997E+010.342946109511716E+01
1981.90080.298143727678082E+010.342259175197354E+01
1981.91990.292875991816717E+010.341567088195851E+01
1981.93910.285348374454339E+010.340868669004583E+01
1981.95820.275739027005405E+010.340162591383704E+01
1981.97740.264197718177920E+010.339450160087946E+01
1981.99660.250776922362522E+010.338730256695854E+01
1982.01640.235463672288616E+010.338003025152626E+01
1982.03560.218284672473750E+010.337268480313778E+01
1982.05480.199181249491164E+010.336526257402375E+01
1982.07390.178137405065463E+010.335776568050238E+01
1982.09310.155069583106029E+010.335018355210866E+01
1982.11230.129985453604153E+010.334250529054847E+01
1982.13140.102886455415638E+010.333472663179364E+01
1982.15060.738522191401437E+000.332682004965868E+01
1982.16970.429930690459728E+000.331876906883744E+01
1982.18890.105547148407399E+000.331055023953292E+01
1982.2081-0.232063532272332E+000.330214592209718E+01
1982.2272-0.579089568798572E+000.329356276105400E+01
1982.2464-0.930600996977165E+000.328481924935151E+01
1982.2656-0.128067494998725E+010.327597232440242E+01
1982.2847-0.162228949684421E+010.326709957412236E+01
1982.3039-0.194864262122314E+010.325831180330608E+01
1982.3231-0.225136836255162E+010.324972337941251E+01
1982.3422-0.252329321841769E+010.324143699386200E+01
1982.3614-0.275659213827345E+010.323353995695989E+01
1982.3806-0.294485095391401E+010.322605262242085E+01
1982.3997-0.308205921628771E+010.321895352068034E+01
1982.4189-0.316386555667802E+010.321215324170478E+01
1982.4381-0.318743002087519E+010.320551125704252E+01
1982.4572-0.315154093678401E+010.319887874075074E+01
1982.4764-0.305839619468459E+010.319212387336575E+01
1982.4956-0.290236904974693E+010.318515157168185E+01
1982.5147-0.269006336061573E+010.317776050211099E+01
1982.5339-0.242548910772790E+010.316985883306630E+01
1982.5530-0.211468409310996E+010.316142398949670E+01
1982.5722-0.176460767019705E+010.315241543728734E+01
1982.5914-0.138380088647215E+010.314282487141428E+01
1982.6105-0.981679705341614E+000.313268060709124E+01
1982.6297-0.568557649702994E+000.312201868944717E+01
1982.6489-0.154473095316041E+000.311088453211482E+01
1982.66800.251055761729986E+000.309936133099782E+01
1982.68720.637742499893747E+000.308753986605835E+01
1982.70640.998134816931410E+000.307551308290245E+01
1982.72550.132389147850095E+010.306338916333197E+01
1982.74470.160879991909464E+010.305126622610648E+01
1982.76390.184745474786077E+010.303922057567811E+01
1982.78300.203648560546861E+010.302729953439862E+01
1982.80220.217428350654206E+010.301551581878081E+01
1982.82140.226241079641213E+010.300384363999702E+01
1982.84050.230212168436511E+010.299219399180565E+01
1982.85970.229834430959975E+010.298047217964903E+01
1982.87890.225616843036342E+010.296860553095950E+01
1982.89800.218176738989170E+010.295652187962597E+01
1982.91720.207988676203845E+010.294417434213855E+01
1982.93630.195491471808345E+010.293154837815603E+01
1982.95550.180863508239626E+010.291862840138267E+01
1982.97470.164126692485061E+010.290543620957068E+01
1982.99380.145406001688836E+010.289194355664862E+01
1983.01370.124728805465166E+010.287812927785379E+01
1983.03290.102102696204898E+010.286398282411748E+01
1983.05200.774671774464065E+000.284949815085031E+01
1983.07120.508970629149598E+000.283465275933420E+01
1983.09030.223759026028269E+000.281938971097231E+01
1983.1095-0.800615564463710E-010.280368124542157E+01
1983.1287-0.401632826385926E+000.278745267383203E+01
1983.1478-0.739414706460878E+000.277062334159754E+01
1983.1670-0.109203808425482E+010.275308950787723E+01
1983.1862-0.145733505904657E+010.273474718609279E+01
1983.2053-0.183345566699737E+010.271547001923632E+01
1983.2245-0.221734705301383E+010.269515918652291E+01
1983.2437-0.260679303284826E+010.267371696979915E+01
1983.2628-0.299873826192273E+010.265111039062945E+01
1983.2820-0.338961852585257E+010.262730215758669E+01
1983.3012-0.377605101422122E+010.260228411715810E+01
1983.3203-0.415443909615022E+010.257598286309220E+01
1983.3395-0.454031769933447E+010.256573722886044E+01
1983.3587-0.490173267973050E+010.255512395809972E+01
1983.3778-0.523488396383707E+010.254431015160399E+01
1983.3970-0.553565519345385E+010.253335036799869E+01
1983.4162-0.579922786164386E+010.252214530307845E+01
1983.4353-0.602152851180672E+010.251049422131907E+01
1983.4545-0.620046475137575E+010.249814340838744E+01
1983.4736-0.633647458787298E+010.248484139913973E+01
1983.4928-0.643151571870335E+010.247032526172563E+01
1983.5120-0.648947754712525E+010.245436539542654E+01
1983.5311-0.651700476753104E+010.243678142540519E+01
1983.5503-0.652282374576266E+010.241740149129597E+01
1983.5695-0.651724116744996E+010.239606036024047E+01
1983.5886-0.651391592366571E+010.237261671494929E+01
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2011.60780.269936708168140E+000.294209672817304E+00
2011.62700.655645428857642E+000.291769211885112E+00
2011.64610.834513166440373E+000.287106497587538E+00
2011.66530.137298958416733E+010.282145318154855E+00
2011.68450.163446893203735E+010.282966423267650E+00
2011.70360.160459233411406E+010.280459382751876E+00
2011.72280.182765107600667E+010.279567356661654E+00
2011.74200.193484133220174E+010.288441750960617E+00
2011.76110.185237821041172E+010.284724082024614E+00
2011.78030.231444843171199E+010.285232575089553E+00
2011.79950.224956652864987E+010.288925081356272E+00
2011.81860.229558081906808E+010.292604481226567E+00
2011.83780.227797752539668E+010.289737764017126E+00
2011.85690.221095582086463E+010.286087425729656E+00
2011.87610.213435302264547E+010.286468512788292E+00
2011.89530.229161099270946E+010.291381090398531E+00
2011.91440.228214295652615E+010.293131162779393E+00
2011.93360.207530546172252E+010.294456836232018E+00
2011.95280.158112559832794E+010.289385709926983E+00
2011.97190.167442253372357E+010.289616060245344E+00
2011.99110.198631702226044E+010.290160771911055E+00
2012.01100.219519513373983E+010.289680378916331E+00
2012.03010.210706413414723E+010.290506294513397E+00
2012.04930.159210117091379E+010.293005285789410E+00
2012.06840.146069893465908E+010.291279473269552E+00
2012.08760.109900686862102E+010.289247030551693E+00
2012.10680.876191386240294E+000.287013334963701E+00
2012.12590.861066406565896E+000.285376698424055E+00
2012.14510.549123775130731E+000.284563375913740E+00
2012.16430.743601139173877E+000.285185061712212E+00
2012.18340.326744673922900E+000.286117062125249E+00
2012.2026-0.165651401687667E+000.292441664499542E+00
2012.2218-0.257534731093152E+000.291922004428331E+00
2012.2409-0.285916523700474E+000.289628715101452E+00
2012.2601-0.541481982166641E+000.293707483618125E+00
2012.2793-0.941983478871431E+000.287070041877356E+00
2012.2984-0.156595378842177E+010.287062662034897E+00
2012.3176-0.162351862251531E+010.287058815692080E+00
2012.3368-0.188022279895547E+010.288846297043421E+00
2012.3559-0.203156017728704E+010.283694324885111E+00
2012.3751-0.253867320630913E+010.286213523949066E+00
2012.3943-0.248544982774060E+010.287902643324275E+00
2012.4134-0.230554706421512E+010.285985222160329E+00
2012.4326-0.289198692906561E+010.284849566669662E+00
2012.4517-0.310915993922785E+010.288516843506709E+00
2012.4709-0.175532324669108E+010.289184972372497E+00
2012.4901-0.112379819072284E+010.288767993862891E+00
2012.5092-0.104620784693616E+010.294383908476549E+00
2012.5284-0.407346721148176E+000.295125596554932E+00
2012.5476-0.171250493920029E+000.290935455200608E+00
2012.56670.143384081916756E+000.290508412205638E+00
2012.58590.128901171863695E+000.289958182400790E+00
2012.60510.218728670322336E+000.283212848233054E+00
2012.62420.259018651992057E+000.276706481532267E+00
2012.64340.270752421459105E+000.283751424532314E+00
2012.66260.775283284602881E+000.284333696288546E+00
2012.68170.976846900489016E+000.280543073085971E+00
2012.70090.904658113986742E+000.277047500415098E+00
2012.72010.919818597899351E+000.283852703162454E+00
2012.73920.115450690651526E+010.283357896837765E+00
2012.75840.129075731048058E+010.273627859610073E+00
2012.77760.156775750316002E+010.275496134805972E+00
2012.79670.172501842854135E+010.278870107011079E+00
2012.81590.183149897904897E+010.272611544997509E+00
2012.83500.175813902970738E+010.281414897077529E+00
2012.85420.187017311851258E+010.286092957410326E+00
2012.87340.129506470593569E+010.278760699191171E+00
2012.89250.130712819362986E+010.282817806902797E+00
2012.91170.139342867371641E+010.282362777009269E+00
2012.93090.145589767272624E+010.284773058119892E+00
2012.95000.166775951187860E+010.289645162443902E+00
2012.96920.115681135089283E+010.288573672449927E+00
2012.98840.692642015176629E+000.294977537040623E+00
2013.00550.785931152882572E+000.299224438265377E+00
2013.0246-0.888690256690928E-010.296150808270137E+00
2013.0438-0.623899437004935E+000.296380491576733E+00
2013.0630-0.944194594623897E+000.295091717995397E+00
2013.0821-0.527886329845136E+000.292936341434741E+00
2013.1013-0.490621308758526E+000.293789995406448E+00
2013.1205-0.608914641977201E+000.291889483300911E+00
2013.1396-0.100030471410401E+010.292310976007656E+00
2013.1588-0.120419510147877E+010.284890457444903E+00
2013.1780-0.167456586564407E+010.286740919607219E+00
2013.1971-0.163397834428101E+010.290718431236763E+00
2013.2163-0.192729786276332E+010.288847019945298E+00
2013.2355-0.216117848898205E+010.282594675402224E+00
2013.2546-0.272564314079685E+010.281434568014855E+00
2013.2738-0.288209487202631E+010.292986843848877E+00
2013.2930-0.341503091997795E+010.294432182528348E+00
2013.3121-0.407415235242707E+010.292237983584598E+00
2013.3313-0.424830069024332E+010.296072081889809E+00
2013.3504-0.414403029495632E+010.304781968045319E+00
2013.3696-0.429179697173343E+010.294364594278553E+00
2013.3888-0.445333483049010E+010.295383279394561E+00
2013.4079-0.428875081779671E+010.296848151246270E+00
2013.4271-0.425038907492365E+010.293646508257064E+00
2013.4463-0.409604707726881E+010.296142383472025E+00
2013.4654-0.368361321935044E+010.291811029061925E+00
2013.4846-0.337530425804279E+010.295466190835610E+00
2013.5038-0.296312288843792E+010.290090655188025E+00
2013.5229-0.267997222532467E+010.296687587040555E+00
2013.5421-0.195849520795901E+010.292660630193816E+00
2013.5613-0.195452908835623E+010.300864351951545E+00
2013.5804-0.193019551521933E+010.300623646408643E+00
2013.5996-0.156664919784659E+010.304351110542607E+00
2013.6188-0.160832516004321E+010.301748182181855E+00
2013.6379-0.135260085753812E+010.297916947128142E+00
2013.6571-0.929479000720194E+000.306094514567849E+00
2013.6762-0.107566523375690E+000.301827598803881E+00
2013.6954-0.439225641382507E-010.299350016288426E+00
2013.71460.104181391166163E+000.296676796967945E+00
2013.73370.122771394599480E-020.301190704216468E+00
2013.75290.865473860583558E-010.298666453479438E+00
2013.77210.403414474453151E+000.301090889490501E+00
2013.79120.554761096691035E+000.294208893560639E+00
2013.81040.633928816243545E+000.297741929597419E+00
2013.82960.802794284633690E+000.301082717291783E+00
2013.84870.711489389846676E+000.297130329154089E+00
2013.86790.794303596738792E+000.288538632678695E+00
2013.88710.496998596931029E+000.293602531951533E+00
2013.90620.149391462985984E+000.296407009561366E+00
2013.92540.628057752312596E+000.303536402533362E+00
2013.94460.396891653800370E+000.300767353349412E+00
2013.96370.179415166861776E+000.307843700439411E+00
2013.9829-0.743279403224178E+000.311852376512901E+00
2014.0027-0.976981459977063E+000.321026455969317E+00
2014.0219-0.108090842827816E+010.313059069044687E+00
2014.0411-0.127926909467969E+010.306267891343316E+00
2014.0602-0.106309557510214E+010.315982896285369E+00
2014.0794-0.116497897512106E+010.318421580460216E+00
2014.0986-0.159406873252897E+010.309213729172904E+00
2014.1177-0.212539683215057E+010.318630990469368E+00
2014.1369-0.225070558654535E+010.315195383003022E+00
2014.1561-0.276943221895611E+010.304599380452308E+00
2014.1752-0.338787682373041E+010.308880946800396E+00
2014.1944-0.330235077011466E+010.309522782131320E+00
2014.2136-0.314319765519090E+010.313755462794532E+00
2014.2327-0.306739489856163E+010.308778343746786E+00
2014.2519-0.370647160585357E+010.306624910872253E+00
2014.2710-0.420238549198333E+010.306820856600113E+00
2014.2902-0.459578095461348E+010.304366514127520E+00
2014.3094-0.472065288377537E+010.309621715174426E+00
2014.3285-0.480246986354397E+010.312316539390644E+00
2014.3477-0.484844706873394E+010.306332481925426E+00
2014.3669-0.482242832883483E+010.297054458682133E+00
2014.3860-0.510609235480542E+010.305335736018196E+00
2014.4052-0.518934576835606E+010.314702850158166E+00
2014.4244-0.483709993875737E+010.301883770091870E+00
2014.4435-0.470643361196521E+010.311678032183131E+00
2014.4627-0.447236994360386E+010.304075552446353E+00
2014.4819-0.439415926551878E+010.301819468089718E+00
2014.5010-0.451015618837357E+010.303810435624436E+00
2014.5202-0.417809862002461E+010.307137683712636E+00
2014.5394-0.405892116551927E+010.310076740291919E+00
2014.5585-0.368635895376947E+010.315655175827870E+00
2014.5777-0.299739232353086E+010.307677776322447E+00
2014.5969-0.221250172984230E+010.310270317345736E+00
2014.6160-0.148305287423955E+010.305437559454313E+00
2014.6352-0.119616908835565E+010.307473325177964E+00
2014.6543-0.937544494819430E+000.298232528795952E+00
2014.6735-0.577919583183776E+000.312539087747966E+00
2014.6927-0.400219141187299E+000.317494409982239E+00
2014.71180.941082310293333E-010.300346247997853E+00
2014.73100.100417609162916E+010.301417854220974E+00
2014.75020.134934854488795E+010.308225932262951E+00
2014.76930.975748276296186E+000.313633345466720E+00
2014.78850.100971051996610E+010.309492232125390E+00
2014.80770.834345994404392E+000.315488638426965E+00
2014.82680.715230281134487E+000.320020266586367E+00
2014.84600.493713211113105E+000.317149896077076E+00
2014.86520.287337859871307E+000.317443621224810E+00
2014.88430.122692961475484E-010.323177575569527E+00
2014.90350.163239552242227E+000.324705796040315E+00
2014.92270.154306369468317E-010.334869358298668E+00
2014.94180.181615824899185E+000.330644692525861E+00
2014.96100.199645408785083E-010.329731600807203E+00
2014.98020.499061383830615E-010.338900061050434E+00
2014.9993-0.127760239895239E+000.335574564567371E+00
2015.01920.907368141966728E-020.366752558602645E+00
2015.0383-0.404406980048651E+000.382315280320258E+00
2015.0575-0.396634209970296E+000.387129768148826E+00
2015.0767-0.811096614560113E+000.396399917174993E+00
2015.0958-0.120317770110803E+010.409115108611512E+00
2015.1150-0.130249430381034E+010.427246952350619E+00
Use the top row headings to sort each column. If you have any questions or inquiries, please contact us.
Time (yyyy.yyyy)Variation along the Z-axis (mm)Uncertainties (mm)
1979.90900.891566247481290E+000.512262214326386E+01
1979.92810.887222069987768E+000.511508036858839E+01
1979.94730.884186839075510E+000.510777180904361E+01
1979.96650.894751330424243E+000.510061567823891E+01
1979.98560.929978356567346E+000.509356142308545E+01
1980.00550.998737614672963E+000.508656497109484E+01
1980.02460.110632511014111E+010.507957337924763E+01
1980.04380.125434549050355E+010.507255256526193E+01
1980.06300.144159130367814E+010.506548373834092E+01
1980.08210.166173455295186E+010.505834392107570E+01
1980.10130.190593256437196E+010.505113501007937E+01
1980.12050.216124409612517E+010.504386596650411E+01
1980.13960.241288202463616E+010.503652916780068E+01
1980.15880.264481699095216E+010.502914858598230E+01
1980.17800.284035706204922E+010.502174338054748E+01
1980.19710.298318892783568E+010.501434150852671E+01
1980.21630.305825245249548E+010.500697224284593E+01
1980.23550.305338421488619E+010.499967437359914E+01
1980.25460.295720771723646E+010.499249135544262E+01
1980.27380.276271278584311E+010.498548912559530E+01
1980.29300.246757082562936E+010.497873153579862E+01
1980.31210.207523328110586E+010.497222873810363E+01
1980.33130.159313949215660E+010.496599779901666E+01
1980.35040.103796734614827E+010.496004739839108E+01
1980.36960.427446020775699E+000.495435595982689E+01
1980.3888-0.212991689154839E+000.494889202440025E+01
1980.4079-0.860116766995718E+000.494359854767655E+01
1980.4271-0.148752138751989E+010.493840519986001E+01
1980.4463-0.207087689179552E+010.493322476840430E+01
1980.4654-0.258580001258255E+010.492796218039096E+01
1980.4846-0.301292652425033E+010.492252588550487E+01
1980.5038-0.333489375082123E+010.491682050057900E+01
1980.5229-0.353757168098634E+010.491073458856071E+01
1980.5421-0.361392648427210E+010.490418687721744E+01
1980.5613-0.355839288607455E+010.489710476275788E+01
1980.5804-0.338462732892008E+010.488955628804255E+01
1980.5996-0.309372147589956E+010.488143506525533E+01
1980.6188-0.269227444073003E+010.487265841416063E+01
1980.6379-0.219384415484407E+010.486316302046016E+01
1980.6571-0.161116386203164E+010.485291517568532E+01
1980.6762-0.959133585092438E+000.484186815081306E+01
1980.6954-0.251598354080504E+000.483002849120609E+01
1980.71460.492712882539809E+000.481743074206186E+01
1980.73370.124328107774202E+010.480420686828902E+01
1980.75290.180228257120708E+010.479197545319872E+01
1980.77210.202880964343423E+010.478232913859439E+01
1980.79120.217268519529343E+010.477283601283250E+01
1980.81040.224719683271976E+010.476361542451350E+01
1980.82960.227150504834509E+010.475479060877075E+01
1980.84870.225492130378973E+010.474623217504682E+01
1980.86790.220506655591431E+010.473797103856501E+01
1980.88710.213190322188986E+010.473000188278380E+01
1980.90620.204570376242701E+010.472229783620512E+01
1980.92540.195687004261575E+010.471481620117801E+01
1980.94460.187831624893609E+010.470748595414791E+01
1980.96370.182069631024078E+010.470024886924194E+01
1980.98290.179571109259265E+010.469304362797738E+01
1981.00210.181056493881012E+010.468580986140454E+01
1981.01920.187258078620458E+010.467849659284199E+01
1981.03830.198271790434901E+010.467106413654541E+01
1981.05750.213944496514717E+010.466348046912728E+01
1981.07670.233639538608323E+010.465573923037454E+01
1981.09580.256380666597510E+010.464783014437852E+01
1981.11500.280834829528086E+010.463976323595963E+01
1981.13420.305358843991055E+010.463156209331299E+01
1981.15330.328348751505182E+010.462325221732166E+01
1981.17250.348022152345179E+010.461486472976157E+01
1981.19160.362574010199920E+010.460643574719909E+01
1981.21080.370596221142013E+010.459802208499928E+01
1981.23000.370497145748465E+010.458967104130810E+01
1981.24910.361192404946347E+010.458145497076173E+01
1981.26830.341936023731353E+010.457342580567769E+01
1981.28750.312453474269578E+010.456564537973200E+01
1981.30660.273026065644120E+010.455817133041705E+01
1981.32580.224626233794856E+010.455102034046954E+01
1981.34500.168717277425978E+010.454420897159952E+01
1981.36410.107177823073556E+010.453772500059671E+01
1981.38330.423570648151676E+000.453151626616926E+01
1981.4025-0.233610294539008E+000.452552705152119E+01
1981.4216-0.874937898804448E+000.451966296640481E+01
1981.4408-0.147633061074259E+010.451384094532297E+01
1981.4600-0.201468219528698E+010.450794387551735E+01
1981.4791-0.247301822531516E+010.450194678539802E+01
1981.4983-0.283203676619941E+010.449570632593288E+01
1981.5175-0.307904170022400E+010.448912126332601E+01
1981.5366-0.320618993143621E+010.448210365222488E+01
1981.5558-0.321334688278583E+010.447457262540284E+01
1981.5749-0.310180438459678E+010.446648673342860E+01
1981.5941-0.288191803580295E+010.445778026085042E+01
1981.6133-0.256691443603936E+010.444842817262929E+01
1981.6324-0.217369698217982E+010.443838446595883E+01
1981.6516-0.172157041722195E+010.442766206088909E+01
1981.6708-0.123306107941774E+010.441628547829812E+01
1981.6899-0.729703671005512E+000.440429395157811E+01
1981.7091-0.231689574265238E+000.439176582307612E+01
1981.72830.240680582341927E+000.437882375433850E+01
1981.74740.671868471481417E+000.436562576235010E+01
1981.76660.105130969812701E+010.435238185401884E+01
1981.78580.137041572246907E+010.433927973407177E+01
1981.80490.162790810768290E+010.432649942372179E+01
1981.82410.182595258249963E+010.431420069648604E+01
1981.84330.196931585278735E+010.430248152635050E+01
1981.86240.206525732134319E+010.429135739062842E+01
1981.88160.212449657640836E+010.428079925951909E+01
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2011.4928-0.116103999780649E+010.401051465792314E+00
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2011.85690.355881358418229E+010.398174702276639E+00
2011.87610.376346264878341E+010.400433507583431E+00
2011.89530.381531205265474E+010.404463729411399E+00
2011.91440.379340911948966E+010.407103661077173E+00
2011.93360.377283206110405E+010.410062029874174E+00
2011.95280.396590240814412E+010.409926463407637E+00
2011.97190.351465962590422E+010.410312405954297E+00
2011.99110.326680543850829E+010.410451954016191E+00
2012.01100.292807178745035E+010.410797477373043E+00
2012.03010.289834743541188E+010.410327743591098E+00
2012.04930.348751925578402E+010.412398194332885E+00
2012.06840.374312656143362E+010.409289102832592E+00
2012.08760.413540896156501E+010.408898257469398E+00
2012.10680.481074790998311E+010.406913498592190E+00
2012.12590.438268162661798E+010.401781295007803E+00
2012.14510.436571926700366E+010.401709097488341E+00
2012.16430.391563258493918E+010.400251606792518E+00
2012.18340.421480942180947E+010.400166454846573E+00
2012.20260.433064537320953E+010.403498363071198E+00
2012.22180.399516450437442E+010.401956597916771E+00
2012.24090.342502795227427E+010.399517078575928E+00
2012.26010.305893530501982E+010.401548336541047E+00
2012.27930.291094535003026E+010.397144811961056E+00
2012.29840.224264034439032E+010.395630347457181E+00
2012.31760.196019083437464E+010.396026872792987E+00
2012.33680.129766416960598E+010.400179810126437E+00
2012.35590.124986885811369E+010.393679611393144E+00
2012.37510.591026501119210E+000.394474519314535E+00
2012.3943-0.159946226645109E+000.396618715252399E+00
2012.4134-0.118261655859849E+010.395422452279184E+00
2012.4326-0.121108909472647E+010.393999741512526E+00
2012.4517-0.197027109455078E+010.395929059321023E+00
2012.4709-0.287245319035079E+010.393314828706547E+00
2012.4901-0.378759505016957E+010.394292385148647E+00
2012.5092-0.407536548636445E+010.398287766538381E+00
2012.5284-0.423509085490261E+010.396917940944960E+00
2012.5476-0.449099136012854E+010.393673064958716E+00
2012.5667-0.446189495125712E+010.393030137510205E+00
2012.5859-0.431422048582096E+010.392072729979670E+00
2012.6051-0.371421844984391E+010.385473557818098E+00
2012.6242-0.362438820436015E+010.380828606340974E+00
2012.6434-0.301072102133957E+010.384843262724370E+00
2012.6626-0.267997169257796E+010.386950052592397E+00
2012.6817-0.217788539577736E+010.384544954328190E+00
2012.7009-0.166383023164397E+010.382732516405032E+00
2012.7201-0.108135264432401E+010.384545527202432E+00
2012.7392-0.910954515041289E-010.383902728120486E+00
2012.75840.300227190164632E+000.377260799798528E+00
2012.77760.797757259192696E+000.380739747514025E+00
2012.79670.110389055581389E+010.384579969257566E+00
2012.81590.122491971102429E+010.381093344745642E+00
2012.83500.221237100962147E+010.388806224684044E+00
2012.85420.232403639492218E+010.392518563969302E+00
2012.87340.267858993859311E+010.389386666212569E+00
2012.89250.260392830987831E+010.391617073477968E+00
2012.91170.251212382438875E+010.393251181464223E+00
2012.93090.221380175696127E+010.396014631081511E+00
2012.95000.222439983028155E+010.405081105371515E+00
2012.96920.165725903560841E+010.401828858162291E+00
2012.98840.191450522152851E+010.405472014473878E+00
2013.00550.191585727117180E+010.412887170005372E+00
2013.02460.265955050255505E+010.412323640090902E+00
2013.04380.308914739020457E+010.415114466737355E+00
2013.06300.307859215593758E+010.412252187623181E+00
2013.08210.326501190731328E+010.409862467262271E+00
2013.10130.359401074045189E+010.408226445599438E+00
2013.12050.406460209332338E+010.406474198138257E+00
2013.13960.427836241191923E+010.406621262175397E+00
2013.15880.428001943072092E+010.399660011707797E+00
2013.17800.453437401574358E+010.401875003190236E+00
2013.19710.475194387431219E+010.403467090222996E+00
2013.21630.468369450319966E+010.398365648076913E+00
2013.23550.476029935102578E+010.395942900738923E+00
2013.25460.477428014045028E+010.393215286341603E+00
2013.27380.435316711583323E+010.402019374353064E+00
2013.29300.431013282757768E+010.401945651568609E+00
2013.31210.424100252490868E+010.400044010443397E+00
2013.33130.378262226232260E+010.402421427464640E+00
2013.35040.329720370566877E+010.410075126939367E+00
2013.36960.229732467937499E+010.401453565493301E+00
2013.38880.168926829690219E+010.405004653615135E+00
2013.40790.101742328997732E+010.406615933019631E+00
2013.42710.433568557115742E+000.402181638665869E+00
2013.44630.361375829292548E+000.407970662768051E+00
2013.4654-0.529582694042994E+000.402260084920271E+00
2013.4846-0.109256394399211E+010.405226710287996E+00
2013.5038-0.152078735374285E+010.399969364689370E+00
2013.5229-0.172933792201240E+010.405219050340989E+00
2013.5421-0.209709242362448E+010.402567844494701E+00
2013.5613-0.200535229290212E+010.408660428647446E+00
2013.5804-0.205638984832109E+010.404649481980978E+00
2013.5996-0.170491908106599E+010.411602010273866E+00
2013.6188-0.820764338200151E+000.409375803301818E+00
2013.6379-0.668846845808169E+000.408065843036836E+00
2013.6571-0.361203490616254E+000.413730023248564E+00
2013.6762-0.100894210771635E+000.406662670019307E+00
2013.69540.411005224701308E+000.404118110619189E+00
2013.71460.123252606726047E+010.397926810705923E+00
2013.73370.186896959131933E+010.399384671349515E+00
2013.75290.232571179519201E+010.400938577637316E+00
2013.77210.297728078442498E+010.405810385372628E+00
2013.79120.317668032927887E+010.399162690707899E+00
2013.81040.349061986385677E+010.398189694156288E+00
2013.82960.355650183350149E+010.404585744312933E+00
2013.84870.395699977998521E+010.401994335359121E+00
2013.86790.423679895711967E+010.398174871516579E+00
2013.88710.466393940247552E+010.404438385178558E+00
2013.90620.474537624814953E+010.405772432275549E+00
2013.92540.393334147178797E+010.411518870077549E+00
2013.94460.415632357757882E+010.409808951507304E+00
2013.96370.439506346485313E+010.415255279845944E+00
2013.98290.458940137355535E+010.421037259700793E+00
2014.00270.483582394240514E+010.429209742291014E+00
2014.02190.508394240128275E+010.424741882174578E+00
2014.04110.469081983648680E+010.419921019715726E+00
2014.06020.504343611603674E+010.431186460621107E+00
2014.07940.582914871773290E+010.434376223669688E+00
2014.09860.548099203225980E+010.423317869638473E+00
2014.11770.587731828166287E+010.432574113659105E+00
2014.13690.596564900008613E+010.430763236469767E+00
2014.15610.655892221052981E+010.424526598824214E+00
2014.17520.712627011803719E+010.424496550972429E+00
2014.19440.621523384737143E+010.422997059985538E+00
2014.21360.604292403743932E+010.422349837705343E+00
2014.23270.609999830934107E+010.418588143386764E+00
2014.25190.618218732360707E+010.418269602726393E+00
2014.27100.643995178793434E+010.418081358763257E+00
2014.29020.623382537157309E+010.419758772867007E+00
2014.30940.610110958738472E+010.421199341112126E+00
2014.32850.508214486301230E+010.424568585925279E+00
2014.34770.495122056078403E+010.416184930619641E+00
2014.36690.410817133109678E+010.412213507023594E+00
2014.38600.385212898871432E+010.416095555836948E+00
2014.40520.326858937296424E+010.425760433187182E+00
2014.42440.258433776700376E+010.412864607243785E+00
2014.44350.213335963351407E+010.424780881031914E+00
2014.46270.169238705248538E+010.420588689022047E+00
2014.48190.107163554333801E+010.418142090455230E+00
2014.50100.288276083711809E+000.421893647177979E+00
2014.52020.396654138140332E+000.425821321878847E+00
2014.5394-0.418379417405711E-010.424551512156548E+00
2014.55850.269193025924545E+000.431665351069494E+00
2014.57770.314701759234129E+000.427303229443856E+00
2014.59690.106460259772623E+000.426841794322031E+00
2014.61600.343154984788043E+000.425060284098331E+00
2014.63520.696101257156399E+000.432295785190294E+00
2014.65430.670610994109192E+000.422400865951737E+00
2014.67350.153851818082942E+010.437338387182568E+00
2014.69270.147336896188063E+010.440047036185865E+00
2014.71180.257265944652216E+010.430619801565882E+00
2014.73100.273716734932409E+010.430809839850285E+00
2014.75020.337727635458593E+010.437943611597769E+00
2014.76930.329485331905206E+010.444903372608205E+00
2014.78850.424264240256027E+010.443927136774940E+00
2014.80770.446109582562992E+010.451367125007298E+00
2014.82680.479110793553519E+010.455352928076585E+00
2014.84600.506141006434279E+010.457856400135200E+00
2014.86520.502090005111892E+010.464048159097900E+00
2014.88430.511884819963054E+010.471406849434796E+00
2014.90350.572268461368623E+010.478798014231261E+00
2014.92270.534453977516510E+010.489891194952064E+00
2014.94180.475155049821638E+010.490948595697296E+00
2014.96100.460790403488916E+010.495370732650106E+00
2014.98020.383965004745230E+010.503095140477439E+00
2014.99930.562876293627584E+010.508289127773230E+00
2015.01920.499028951897360E+010.524979618191411E+00
2015.03830.500376555346003E+010.539798324687567E+00
2015.05750.526982000367625E+010.544081924204762E+00
2015.07670.530754417254967E+010.554547593698318E+00
2015.09580.558562586217739E+010.566286858584655E+00
2015.11500.548498890409214E+010.582391597654029E+00
Via wget command
  • Geocenter data
    • wget https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/data/geocenter_data.tar.gz
  • Geocenter plots
    • wget https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/plots/geocenter_plots.tar.gz
 
Via curl command
  • Geocenter data
    • curl https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/data/geocenter_data.tar.gz ––output ‘*FILE_NAME*.tar.gz’ -k
  • Geocenter plots
    • curl https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/plots/geocenter_plots.tar.gz ––output ‘*FILE_NAME*.tar.gz’ -k

Scale

The scale is the weighted average of the quasi-instantaneous scales materialized by fortnightly/weekly SLR and quasi-daily VLBI sessions and whose orientation is defined via application of weekly no-net-rotation (NNR) conditions to an external frame. SLR and VLBI scales are not being adjusted, whereas GNSS and DORIS scales are being adjusted to the weighted average (through the inverse of the covariance matrices) of the instantaneous scales.

How do we define Scale?

To define scale, the Helmert transformation parameters λL and λR in the rank-deficient system of equation 5 of Abbondanza et al., 2017 are set to zero during the measurement update.

  • The conditions λL=0 and λR=0 ensure that the SLR and VLBI scales are not adjusted during the weekly measurement updates. Scale parameters are estimated only for GNSS and DORIS, thus implying that their intrinsic scale information is removed and adjusted to the weighted average scale defined by VLBI and SLR. Such definition will realize a combined TRF whose scale is given by the quasi-instantaneous average of the interferometric (VLBI) and optical (SLR) scales weighted through the inverse of the covariance measurement matrices. Such an approach to the scale definition would be optimal were there no biases between VLBI and SLR-derived scales.
Use the top row headings to sort each column. If you have any questions or inquiries, please contact us.
Time (yyyy.yyyyyy)Scale Variation (mm)Uncertainties (mm)
1979.9089660.320852161778762301481.19890851377827423185
1979.9281310.315163400338815791191.19846176392965353408
1979.9472960.314077337557017943761.19804438491713050041
1979.9664610.316468510297600591491.19761825837637103653
1979.9856260.321083638493454892601.19718083280748244235
1980.0054760.326468802749864006611.19672507820286821989
1980.0246410.331473859401877124501.19623758495835796900
1980.0438060.335260175881907762641.19570191188408569971
1980.0629710.337380309844233117201.19510227572584559752
1980.0821360.337577437919508616121.19442682317014226001
1980.1013000.335586911764045758841.19366942464018732650
1980.1204650.331113437025575496621.19283075715239372805
1980.1396300.323989680069279528671.19191835963491987727
1980.1587950.314232592104096986051.19094514096810777382
1980.1779600.302057892603141919801.18992744964378105443
1980.1971250.287965734903817716091.18888075058456355038
1980.2162900.272722301387179455471.18781640083795725360
1980.2354550.257455401698758468141.18674053066436679948
1980.2546200.243549491998747175141.18565554164334119314
1980.2737850.232322179456018629301.18455843701020580028
1980.2929500.229285718039922259411.18376472040665414731
1980.3121150.231520636411911229221.18297491364553897242
1980.3312800.238869986331962685931.18217772465299897355
1980.3504450.250981827092923992511.18136968774094963663
1980.3696100.267602146821031283701.18055594092222615465
1980.3887750.288711505193387896201.17974979406208024812
1980.4079400.314513523311086451441.17896286640956371450
1980.4271050.344839825206615324671.17819252289958420477
1980.4462700.378520151117355152511.17741426806378357561
1980.4654350.413773520643858638831.17658373110456948574
1980.4846000.449959918002453551631.17564983406129575094
1980.5037650.491407984160195987491.17458897487196378684
1980.5229300.543881403504149041341.17345568490945817430
1980.5420940.598612825873336862341.17230762636090535267
1980.5612590.642395128746832244641.17110426738484441067
1980.5804240.662480691196523530101.16993578821816224256
1980.5995890.661278451854573456891.16878358051694308806
1980.6187540.648391327946239104391.16752913018167570058
1980.6379190.632726992832401746721.16614919567771502251
1980.6570840.619064185431594582451.16455548238600758992
1980.6762490.602578625844650939141.16264312931241575733
1980.6954140.578687043385674559911.16033751959944919641
1980.7145790.546459602910460029431.15756907887823556891
1980.7337440.509312919501108019031.15423897070973247025
1980.7529090.450266501083656678351.15049651384948359301
1980.7720740.354550261239323039051.14905536830292165362
1980.7912390.282527474584459259431.14786431287045953553
1980.8104040.229148245173259879071.14831147489079832269
1980.8295690.227690586594971960951.15111699007188317267
1980.8487340.227301614991637146451.15339604703263876040
1980.8678990.225746527649361539151.15520376166068472479
1980.8870640.224369421242657463011.15660839039499396819
1980.9062290.224768039937723151931.15768434913085194182
1980.9253940.228079644952601662271.15850266339224972079
1980.9445590.234688749044581729251.15912422012796367810
1980.9637230.244154135011688366851.15959772876779587669
1980.9828880.255376482796344783651.15995354460906408001
1981.0020530.266901995885622578261.16020583377352926036
1981.0191650.277429875603678044451.16035488042413903464
1981.0383300.286252968484085046351.16039379945947795925
1981.0574950.293086407025955952841.16031649109223500282
1981.0766600.297851880070818919591.16012251212274764001
1981.0958250.300456076929865423251.15981826753255368168
1981.1149900.300725502506668518341.15941779715211179536
1981.1341550.298546547737251477541.15894073886243709204
1981.1533200.293875863725905406291.15840891682075763924
1981.1724850.286938016128105433111.15783963479589480094
1981.1916500.278209206641207296151.15724119866044028448
1981.2108150.268643317131741887761.15661226821720841684
1981.2299790.259473357447927988061.15594555572649015929
1981.2491440.252217779221068416631.15523739918705792284
1981.2683090.248364874224836773561.15448676938629968269
1981.2874740.249115388626070854981.15369218135990037055
1981.3066390.254967661510139609331.15284342979650644700
1981.3258040.265640811625004913401.15192680284414206149
1981.3449690.280484737586421395421.15093375564428090918
1981.3641340.299195700396153452251.14988070729159819194
1981.3832990.322179512067782891641.14882228166168109951
1981.4024640.350661333197880176191.14784207237965296677
1981.4216290.385598365780054908041.14701601603691338838
1981.4407940.426093988334652007401.14636598442727910552
1981.4599590.468984123751578718681.14584102625701289568
1981.4791240.509929556263212457881.14572711624134582209
1981.4982890.550842608568372638091.14546249265120447802
1981.5174540.601726037843591687881.14507520636123039104
1981.5366190.660239561249631456971.14472224310351999854
1981.5557840.705513072410858921301.14440850731654197858
1981.5749490.729967874776396574711.14404015999784069990
1981.5941140.733813907542183674341.14359583289023913899
1981.6132790.720774723452947907451.14313272168503821113
1981.6324440.705087810987038876581.14269682794571725282
1981.6516080.695185531141943147131.14220334364773390412
1981.6707730.684615708916210818911.14155914980136441450
1981.6899380.668501944500894396131.14074700197721901063
1981.7091030.646419711528747442661.13978096935392603228
1981.7282680.619767475977363035971.13867246627220985999
1981.7474330.590210401926905992021.13742892672125961440
1981.7665980.559102542127720480991.13605793729897164290
1981.7857630.527542372724191244161.13457390685027514898
1981.8049280.496493721823659639461.13300393417552958120
1981.8240930.467144707647774271031.13139867807285243728
1981.8432580.440870856446476444561.12983681339824437728
1981.8624230.418875233691351489541.12841405612274159331
1981.8815880.401805783852754005991.12720643222390126681
1981.9007530.382330459206444650541.12780347641815481552
1981.9199180.370041127273427361551.12827017672533758130
1981.9390830.364695064289077219841.12853577575944363787
1981.9582480.364831915008062057651.12861236037772916241
1981.9774130.368253922576620207341.12853429925043458049
1981.9965780.372561966959383372711.12832937778048592037
1982.0164270.375894918686958567911.12800690200973052768
1982.0355920.377401016515623910501.12756680076818405212
1982.0547570.376798152844768197141.12701066997676946357
1982.0739220.374253671259455023001.12634077952464339845
1982.0930870.370009415230446614411.12556521145183108246
1982.1122520.363835928876236280871.12469350319773386815
1982.1314170.355620173757056068361.12374063558403425311
1982.1505820.345283779508006760661.12271692389746324814
1982.1697470.333245941055726413451.12162873511860650133
1982.1889120.320337077381877333161.12047679122612930946
1982.2080770.307556770827632608431.11925578352361543288
1982.2272420.296035598664908472521.11795898248957614740
1982.2464070.287091211777195987051.11658283365215393879
1982.2655720.282004975953843051161.11513124786092010510
1982.2847360.281716119189440949991.11360740015644577028
1982.3039010.286976050021781614601.11201243927477810836
1982.3230660.297847872348160791491.11034107572339424408
1982.3422310.313724858299328890341.10858962380368408773
1982.3613960.334077408087740279631.10676957880484572172
1982.3805610.359001943612634322191.10491967093496024077
1982.3997260.389994010219716524811.10310318044514588109
1982.4188910.429344913952566520351.10137246379635111992
1982.4380560.478274459045006705701.09972830654538267225
1982.4572210.535634879420762710641.09810160197830719575
1982.4763860.583373275248868283781.09678953520571975666
1982.4955510.608087338723574899471.09644323388781472772
1982.5147160.643643888612363102021.09578097644632488361
1982.5338810.700380205278364642571.09505437472157973744
1982.5530460.750836364626384811241.09445784056666095552
1982.5722110.775675760049838292081.09381636701594175953
1982.5913760.774616654250550928931.09305397143239457769
1982.6105410.750920796022669367891.09228610535135883808
1982.6297060.726710309777375940141.09161820570344558767
1982.6488710.713924679406960804861.09087626795316428030
1982.6680360.700880515480631682831.08991925795603661342
1982.6872010.681015528325994989881.08875863546573192764
1982.7063660.654273157724989951061.08743538121043425981
1982.7255300.622418640545541523861.08597293290599017368
1982.7446950.587120118430052073681.08438322760934213740
1982.7638600.549605250905062292511.08267491126206549801
1982.7830250.510649008166618512131.08085420055412817497
1982.8021900.470506977495673550661.07893057972452122151
1982.8213550.431920424078643061531.07716625173866065168
1982.8405200.394970185213956270781.07541622767029232399
1982.8596850.360109532621232353301.07368518465119056060
1982.8788500.328902851137033713781.07198696972950879847
1982.8980150.302975929183391334831.07031095978534795954
1982.9171800.283337161113074609281.06862969017158082607
1982.9363450.270002169972186067961.06691483263305753049
1982.9555100.261454538478988918191.06513653903872573814
1982.9746750.255452753343685889931.06450267064693160357
1982.9938400.247769011204525740901.06363154465763476431
1983.0136890.236515235731209666481.06256173968060529944
1983.0328540.220934597729406101421.06130228795011216647
1983.0520190.201615042583264431061.05985731973163632702
1983.0711840.179343660903827528671.05822991490144557858
1983.0903490.154734932293726951121.05642550083366404401
1983.1095140.128265875496711617701.05445365595133511150
1983.1286790.099863959164364399231.05232271185083092746
1983.1478440.070014145447269554581.05004225613662960370
1983.1670090.038928798271429289331.04761572371929734260
1983.1861740.007391327841645981691.04504516569267758008
1983.205339-0.023524687328203425231.04232029253666969026
1983.224504-0.052703275224663233281.03943296233299831144
1983.243669-0.079052696323536453261.03637416812825278178
1983.262834-0.101654011776458427781.03313503419688323959
1983.281999-0.119547610833665246541.02971546748305753383
1983.301164-0.132181821693099665891.02611452401752267782
1983.320329-0.139345254033379079011.02232878744984323482
1983.339493-0.094523607345603832821.01964323659293665258
1983.358658-0.046693638355114780451.01699183778660895427
1983.3778230.007392546528817232901.01428989429995453087
1983.3969880.066626771984384047801.01155011838235098232
1983.4161530.130846080295577010811.00877273132310207870
1983.4353180.200423765655933450171.00591924060611770386
1983.4544830.271228232765062748921.00300724019281783939
1983.4736480.341488686833686383440.99989569709269499054
1983.4928130.408111732914057279140.99649745259274269404
1983.5119780.476065533364002868580.99267041990986670807
1983.5311430.571308426068298902400.98847441986393891344
1983.5503080.679460908255683393440.98445363796960749792
1983.5694730.756553413437283106550.98041397879633418455
1983.5886380.805469779641197591860.97610328065592100177
1983.6078030.818848569933724901300.97153090496607796833
1983.6269680.645885932803613505020.96664305765097291445
1983.6461330.683671741630969109770.96150169685679987008
1983.6652980.721127298303215757970.95562772318145738915
1983.6844630.751464184421194669740.94904091461519146655
1983.7036280.776158460797234495130.94169824711907346160
1983.7227931.211032049686080469540.93327141777559918800
1983.7419581.240890850466803696510.92402265165180486051
1983.7611231.285169589444614235420.91346048590103423592
1983.7802871.308027377782846167880.90449300482861094697
1983.7994521.326970913458082712570.89420043354149369996
1983.8186171.366345087804899938180.88834860711194763017
1983.8377821.413602633121412210930.88137684458242215868
1983.8569471.479598811657126367080.87295455227195795089
1983.8761121.502908415033120448360.86734751808510557325
1983.8952771.531905403908800034070.86025259673751630629
1983.9144421.543011035764099592170.85630743551900589949
1983.9336071.573853031129062163270.85060171284837327033
1983.9527721.702144013055568283480.84771864260092222310
1983.9719371.842285977179372036260.84298524791824791524
1983.9911022.001427469713860318730.83741808647630266993
1984.0109512.179856544869215539960.82959828825198200786
1984.0301162.362700805609694310050.81919176932558079862
1984.0492812.567909893230132301060.80477053228073669455
1984.0684462.405865566993646176290.81483791513277137319
1984.0876112.274692047763203106570.82106886370324172475
1984.1067762.245169355145848921750.82553201350955895954
1984.1259412.236569070901880174060.82773824674245721766
1984.1451062.243040365148635917340.82815355831221082461
1984.1642712.237527516931456794680.82727750580131298452
1984.1834362.251765241662717631500.82478911198833337881
1984.2026012.279797792812071399740.82088325988825783242
1984.2217662.316291384938332864610.81554858620095260768
1984.2409312.367545563864293267640.80854281431625640852
1984.2600962.425596342825665718830.79973581330024634539
1984.2792612.493043754120159771760.78859597173959528060
1984.2984262.546577473740400332500.77457137229684391855
1984.3175912.574699640916012999270.75637673930956594859
1984.3367562.509786764363644451240.73188038741758176808
1984.3559212.655144046303124394370.73613171684572098474
1984.3750862.706820664287136857240.73413741593147707754
1984.3942513.367914535528394814890.73900722933560791805
1984.4134153.879751041675797651460.73823596775207911413
1984.4325804.329446525756155850220.73304568342363529698
1984.4517454.768305548230435952920.72377009916163237424
1984.4709105.236565282108807117820.70972396806041559980
1984.4900755.362641399211659276600.71050623488026531938
1984.5092405.537201220398870304960.70603408531183298180
1984.5284055.627309493781050164780.70084016393786074950
1984.5475705.892688926124733939100.69079619628064037329
1984.5667355.927596394791787126620.68603228614954248066
1984.5859006.131453002768271431930.67392977614713589496
1984.6050655.792179376263448808970.67699049370308528317
1984.6242305.661722166566998559740.67178916626619566976
1984.6433955.319065161442593669960.67748059438149565992
1984.6625605.182004374314871597560.67560066898091519771
1984.6817255.121422656835036058000.66913346794684125385
1984.7008905.105878714626187253600.65498369323120353425
1984.7200555.281829417512252433650.62675307952513792387
1984.7392204.982281911677008068300.63449913647987987719
1984.7583854.925063953342392331080.62452471226931749460
1984.7775504.468231341988469829120.65267801744891740245
1984.7967154.208429634439566413560.66530349404719157924
1984.8158804.078611922269585576830.66940104261029231836
1984.8350444.101799392662208276760.66571670140285144068
1984.8542093.520196852966946732270.67281471969921269327
1984.8733743.081484967570890187720.67267861963751152121
1984.8925392.597071289717983511030.66993461504966889120
1984.9117042.203073697654199136760.65909814157699198045
1984.9308691.890031794362706074610.66143521741439281758
1984.9500341.658106904671589942880.65442317976584529760
1984.9691991.838550317977954984270.66024062707394526317
1984.9883642.028460535712353962620.65796917661411047362
1985.0054762.350821543654472378650.64427297588148402241
1985.0246411.957253663770545992760.65981962823740103463
1985.0438061.677991774072354669300.66317076598892266137
1985.0629711.860061841853558384230.66935652786274146830
1985.0821361.991126087074278405710.66677617413805967406
1985.1013001.973539430269355854360.67022062815559024784
1985.1204652.028482469445254565700.66676873644699541366
1985.1396302.164596559804957021100.67460830968659635243
1985.1587952.375831261649589354330.67676079938905719935
1985.1779602.622795968537227739860.67429438202265135072
1985.1971252.903771866942335133640.66745362956669163079
1985.2162903.260669782145726447450.65481382572050295110
1985.2354553.735123695118137465700.63457381998593387351
1985.2546204.473087010390180751070.60354953111279230349
1985.2737855.733713772093347316170.54845603537069687050
1985.2929508.894910566060625356500.40381588783521438213
1985.3121155.690710148859997374870.52813507132863224403
1985.3312804.496790543780624815890.56288119475842135486
1985.3504453.636990675002621742350.57856850795254588515
1985.3696103.065279618078870615960.57784669224426510326
1985.3887752.588955600605111762040.57646492701566776073
1985.4079402.199318547171057236510.56102936781740619931
1985.4271051.755261325489066770440.54128806056781231248
1985.4462701.216746847122135433140.49743420329616849784
1985.4654350.341462456110141143740.44030861581298919027
1985.484600-1.624247748470335483970.15373766370100627743
1985.5037650.760577666455854894960.42892586738557225701
1985.5229301.940204527280824375880.46643554864386926884
1985.5420941.869567543622268512850.50939701693733097088
1985.5612591.861315098012514601680.52056857186552873973
1985.5804241.954843193951679491960.50786366748292910422
1985.5995891.541886693977986055870.51651939845222227810
1985.6187541.179275681345862247800.49416896065470006238
1985.6379191.269652017510270569640.53247754884173126300
1985.6570841.357634790899723498110.54407750988699898897
1985.6762491.496837387216726433790.55090132863708385358
1985.6954141.717499264584565921150.54336044599463084737
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2014.098563-0.089842500631926058840.15877491793711290269
2014.117728-0.031090230773000784860.15935908988415584120
2014.136893-0.134248229711748157110.16227229667282597192
2014.156057-0.095179230008008292030.16348041180309871856
2014.175222-0.133557184527927280680.16399290463009977281
2014.194387-0.238677382323557590870.16358791056832619470
2014.213552-0.131680365904782298300.16314571739704961106
2014.232717-0.192973272556197172900.16199181463923190138
2014.251882-0.221046339922263385120.15932058524866907212
2014.271047-0.326373581018334080190.15795371771165628294
2014.290212-0.292300757241103881250.15721286494070718653
2014.309377-0.453968806896395071780.15635210312915462372
2014.328542-0.531590853090990300700.15488227933548348592
2014.347707-0.610411820721101894270.14315082530574724240
2014.366872-0.717541493188102785790.13598625772576486415
2014.386037-0.580341833823453834280.14647321371641247589
2014.405202-0.473182371846598393010.15471513476621751026
2014.424367-0.434261357301799100220.15463292225389160817
2014.443532-0.412368691706051782030.15533619634987250180
2014.462697-0.476023199809458230640.15457224387875576066
2014.481862-0.473590094619818380290.15476040314251132690
2014.501027-0.638225643892809779700.15516178214482825859
2014.520192-0.528937978234624628370.15648100964487610121
2014.539357-0.609219951572368079160.15723853070939758370
2014.558522-0.533657068668843215240.15828544958898027595
2014.577687-0.563767739578377113930.15614586528939067289
2014.596851-0.650651692628697819740.15683088957950974685
2014.616016-0.730995708426911305900.15775283279423490956
2014.635181-0.627160639233404482160.15664922272421674676
2014.654346-0.739207361985457667150.15599548446228037046
2014.673511-0.599068099681518861920.15843062214041800373
2014.692676-0.495476670525656859300.16119766312269165343
2014.711841-0.644139175855914514200.15757874701546362162
2014.731006-0.737740972366370928450.16007604014640000600
2014.750171-0.722545134294926394420.16242891928940750290
2014.769336-0.622304034692603202930.16604409286647800470
2014.788501-0.721102597915021181760.16721291567773427511
2014.807666-0.945368343277875333720.17046686769012919793
2014.826831-1.118437068597618377910.17501938053913537741
2014.845996-1.226991776124569222260.17642341622038507087
2014.865161-1.301319836178267186360.17980835850163701117
2014.884326-1.597791298849905450300.18503474586038970440
2014.903491-1.776446471447183705910.19055248306378261280
2014.922656-1.808689995264185501610.19493400052517143028
2014.941821-1.866320452227732351600.19901191323402606104
2014.960986-1.923727092254359449800.20793324625783204951
2014.980151-2.113321152937365887680.21975545047952171895
2014.999316-2.243624248042070945530.22419721158867866873
2015.019165-1.989959668941534864930.24617003003219078971
2015.038330-1.900683051553840652300.25810350165146100920
2015.057495-1.855855834953775262970.26820475623828110567
2015.076660-1.815562303144183875500.27744916238706762712
2015.095825-1.776554829472188012930.28609550459346172468
2015.114990-1.738147545542182204060.29426987712921287565

Download Commands

Via wget command
  • Scale data
    • wget https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/data/scale_data/d.dat
  • Scale plot
    • wget https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/plots/scale_plots/D.pdf
 
Via curl command
  • Scale data
    • curl https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/data/scale_data/d.dat ––output ‘*FILE_NAME*.dat’ -k
  • Scale plot
    • curl https://www.jpl.nasa.gov/site/jsgt/jtrf/pub/jtrf2014/plots/scale_plots/D.pdf ––output ‘*FILE_NAME*.pdf’ -ksite/

Helmert Transformation Parameters

To allow SG inputs to be consistently expressed in a unified TRF, state variables are supplemented with Helmert (i.e., similarity) transformation parameters from each individual observing SG network to the final combined frame. EOP and Helmert transformation parameters are modeled as pure random walk driven by white noise sufficiently large to accommodate the observed week-to-week variations.

How do we compute Helmert Transformation Parameters?

At each step of the smoother, KALREF outputs optimal estimates of time series of Helmert transformation parameters which represent quasi-instantaneous translational, scale, and rotational offsets between the combined frame (JTRF2014) and the input data sets.

In TRF literature, the following equation: {x'}_i=x_i\ +\ b_i\ +\ {\lambda}x_i\ +\ \varepsilon_{ijk}r_jx_k is often referred to as Helmert transformation and the set (b_k\,{\lambda},r_k)  as Helmert transformation parameters (see e.g. Collilieux et al., 2010).

References

Abbondanza, C., T. M. Chin, R. S. Gross, M. B. Heflin, J. W. Parker, B. S. Soja, T. van Dam, and X. Wu, JTRF2014, the JPL Kalman filter and smoother realization of the International Terrestrial Reference System, J. Geophys. Res.122(10), 8474–8510, doi: 10.1002/2017JB014360, 2017.

Collilieux, X., Z. Altamimi, D. Coulot, T. van Dam, J. Ray Impact of loading effects on determination of the International Terrestrial Reference Frame Adv. Space Res., 45 (2010), pp. 144-154, 10.1016/j.asr.2009.08.024

Collilieux, X., T. van Dam, J. Ray, D. Coulot, L. Metivier, and Z. Altamimi. Strategies to mitigate aliasing of loading signals while estimating GPS frame parameters. J Geodesy, 86(1):1-14, JAN 2012. ISSN 0949-7714. doi: 10.1007/s00190-011-0487-6. URL https://doi.org/10.1007/s00190-011-0487-6.

Lavallée, D. A., T. van Dam, G. Blewitt, and P. J. Clarke. Geocenter motions from GPS: A unified observation model. J Geophys Res-Sol Ea, 111(B5), 2006. ISSN 2156-2202. doi: 10.1029/2005JB003784. URL http://dx.doi.org/10.1029/2005JB003784. B05405.

Pavlis, E. C. Fortnightly resolution geocenter series: A combined analysis of LAGEOS 1 and LAGEOS 2 SLR data (1993-1996). pages 75{84. , 1999. URL https://www.iers.org/SharedDocs/Publikationen/EN/IERS/Publications/tn/TechnNote25/tn25_075.pdf?__blob=publicationFile&v=1. IERS Technical Note, No. 25.

Wu, X., M. B. Heflin, E. R. Ivins, and I. Fukumori. Seasonal and interannual global surface mass variations from multisatellite geodetic data. J Geophys Res-Sol Ea, 111(B9), 2006. ISSN 2156-2202. doi: 10.1029/2005 JB004100. URL http://dx.doi.org/10.1029/2005JB004100. B09401.

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