Sensitivity analysis for future gravity satellite missions [Elektronische Ressource] / Indridi Einarsson. Deutsches GeoForschungsZentrum GFZ

Einarsson

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• Publié par: rheinische_friedrich-wilhelms-universitat_bonn
• Publié le: 01 janvier 2011
• Nombre de lectures: 17
• Poids de l'ouvrage: 16 Mo

Extrait

Indriði Einarsson
Sensitivity Analysis for Future
Gravity Satellite Missions
Scientific Technical Report STR11/10
ISSN 1610-0956 www.gfz-potsdam.de
STR11/10
Indriði Einarsson, Sensitivity Analysis for Future Gravity Satellite MissionsIndriði Einarsson
Sensitivity Analysis for Future
Gravity Satellite Missions
Imprint
Helmholtz Centre Potsdam
GFZ German Research Centre
for Geosciences
Telegrafenberg
D-14473 Potsdam
Printed in Potsdam, Germany
October 2011 Scientific Technical Report STR11/10
ISSN 1610-0956
This work is published in the GFZ series
Scientific Technical Report (STR)
and electronically available at GFZ website
www.gfz-potsdam.de > News > GFZ Publications Indriði Einarsson
Sensitivity Analysis for Future
Gravity Satellite Missions
Impressum
D-14473 Potsdam
Gedruckt in Potsdam
Oktober 2011
Scientific Technical Report STR11/10ISSN 1610-0956
Die vorliegende Arbeit
in der Schriftenreihe
Scientific Technical Report (STR) des GFZ
ist in elektronischer Form erhältlich unter
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Publikationen des GFZDeutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
DAstronomiscamh-PhFysikIndri?ialiscakult?thezuund2011Mathematiscv?k,hederGeoRheiniscd?siehWilhelmsUnivSensitivitvy.analysisonforausfuturengraersit?tvitundydersatellitehenmissionsriedricInauguralDissertationersit?tzurBonnErlangungorgelegtdes07ak04.ademiscvhenM.Sc.GradesEinarssonDoktorIngenieurReykja(Dr.Ing.)IsladerdHohen98BonnUnivf?rGeoinformationhend?sieFGeoInstituthaftlicLandwirtscDeutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
Kusctehen:agUniv.yyProf.helDr.tecmhn.Pr?fung:W2011.olf-DieterProf.ScThderuh?ndlicUniv.nProf.xx.Dr..KheorreferenJ?rgenDr.Ing.erMict:ReferenUniv.VolkDeutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
wmissionsderAbstractwTheeitthemebofhthisderthesisderisSimteoeinerinKugel?cveingeestigateessfthehsensitivitationyerten.ofhensevErkundungegeteilt,reilaladierenvtransformationformationserserofauffutureksatellitezwgraerservitdybmissions.inTheewvorknhasSthreeersermainwaspunects.f?rTheersterst,Enandtungsabhmostaufimpvortanez?glit,ricisWthesedeverefeld-SatellitenmielopmenZumteineanderzieltestingndofGRAadglobalGenauigkdirectionalescwiaKvDaeletnftransformationArtasunatmGRAathematicalVtogeliefertenolrtoVanalyseulationsensitivitQualit?tygraofmationensatelliteErdscgraDiesevitinyAufgabmission.jewThishisrden.doneumfassendstebetritywicpropagatingricfullngigencoelet-TvKugel.arianceFmatricesKw.r.t.trizenthehsphericwirdaltungsabh?ngigeharmonicshlie?endfunctionszuroneitohaftenthehdirectionaliweaMalvWeletQuantransform.reFdieornnzeicthediersthlertime,sind.wTerareerdenablehaftentotenformationenaccuratelyen.quanulatifywithevstripveshenfunktionenthatGRAareeinetrypicalonforwietheArbehrrbordrittepatterneofauszuthehGRAhCEGRAgramitvitnybnissmission.annThezsecondundaspwectwirdiSimsertbar.theanalysissimSatellitenfor-ulatizurondesofhaerefeldes.satelliteAufgabgrawirdvitdreiytergeordneteformation,enindieordereilstosicacgel?sthieveeDeraccuracyundinformationTinbthedieformtofklungaglobalen,fuhl?lWcovvransformationariancedermDurcatrdieiortpanzungxoller.oThearianzma-thirdbaspcecderthenfunktionenindievholvTesanscanalysingalsresultserkzeugfromAnalysetheGenauigkGRAtCEigenscmission,divwhicSchwisssalreadyoneninsorbittzt.anderstenhaswirdbdieseeeneisedelivgenaueeringtizierungdataStsinceifen2002.t,Wsoeecomparehnethef?rsimMulationseofderGRACE-SatellitenCEImtoeitentheeildataedeliArbvwereddiebeitseigenscydivtheSatelliGRAbCEhriebmission.DurcThisSimwtaonenyr,diewolleeoarearianzmatrixableKugel?ctoermittelt.tomitestablishCEaereitsrelationshipSatelliteboetmwveendertheexistiert,simsieulationsdieserandeitreal-lifetersucdatatanderden,evestehaluatedietheTqualitilaufgabydarin,ofCE-DatenthewsimDurculations.denSensitivit?tsanalyseergleiczuk?nftigerderSatellitenmissionenonzurCEErkundungDatendesdenErdsculatiohsewgeerefeldeseZusammenfassungkDaseineHauptthemaerbindungdieserwiscDissertationRealit?tiSimshergestelltterden.dieoErforscdiehderungulationenderewyvitsatellitefutureforhaftendivSensitivitiiiyGenauigkeitseigenscDeutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
..analysis...............erturb...inear.18.......2.2.2.......t.2.6.........dels.......2.2.1.........Satellite....................iii.Zusammenfassung......................................frames.........ge...................Linearisation...................2.6.1iiihoice1.In.tropropagationduction.1.1.1.Pro.cessesofin.the.syst.e.m2.8Earth..........2.8.1.....................reference...................errestrial.................8.and1.1.2.Satellite.gra.vit.y.missions..CHAMP2.4,satelliteGRA.CE.and.GOCE............11.range-rate.................equation........2.1.3.F.uture.missions....of.and.reference.........2.6.2.n.................Stabilit.ite...................ysical.......................mo....3.1.4.Mathematics..........20.ts.................8.Inertial.frames...................................8.T.reference................4.1.5.Con.tribution.of.this.thesis......2.3.motion.orbital.ometry...............................9.P.ed.motion..........................4.2.Ph.ysical.foundations.5.2.12.5Graofvitationmeasuremen.s.............................13.Normal.system.......................................16.System.l.equations.c.of.orbit....5.2.1.1.Dieren.tial.op.erators.and16sphericErroralaharmonicsd.................................2.7.y.satell.formations......6.2.1.2.Diric.hlet.problem....................19.Geoph.mo...........................................20.De-aliasing.dels......7.2.2.Newton's.la.ws.of.motion.and.reference.frames.................Abstract..Conivten..Deutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
............on...theory.....3.4.3.....scaling.from.................4.1.....on.................tegration......21.3sphereMathematical.foundationson23.3.1.F.unctional.analysis.-.Hilb.ert.spaces..................3.3.theories.........y.........Mon.dels.....Numerical...........in......23.3.1.1.Hilb.ert.space....lo.........a...........W...........W...........4.3.1.........mo.....o.c..............23.3.1.2.Orthonormal3.3.1basesprobabilit.examples..............40.Carlo.quasi-linear...........42.ects.....................3.4.1.on......2.5.3.1.2.1.F.ourier3.4.2series.on.an.in.terv.al..........analysis.signal.................4.elets.analysis...................49.v26unit3.1.2.2.(Asso.ciated).Legendre.F.unctions........50.v.sphere.....................of................27.3.1.2.32.8.2Surface.spherical.harmonics..38.T.ols.sto.hastic.....................................40.Ba.esian.y..29.3.2.Basis.functions.on.the.sphere....................3.3.2.te.In.for.Mo.......................3.4.asp..................30.3.2.1.Spherical.harmonics..................43.Numerical.tegration.the.............................44.Discussion.errors................31.3.2.2.Gibbs.phenomenon..............46.SH.of.cal...................................47.W.v.48.Multiresolution............34.3.2.3.Slepian's.optimally.lo.calising.band-limited.functions..............4.2.a.elets.the.circle................35.3.2.4.Radially.symmetric.basis.functions............4.3.a.elets.the........................................37523.2.5GeneratorFilteringawithfunctiona.radiall.y.symmetric.basis.function....................53.delstenEarth.v.tsCon..Deutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
....86.................LISA...ltering.......83.......5.3.4.....5.3.6...........Sumatra-Andaman.............84....56.4.3.3.Examples..................Comparison.........General.....smo...remarks.....ts.....................t....................57.4.4.Directional.w.a.v.ele.t.s.on.the.sphere..formation.................104.....................ximate.....113.es...........120....59.4.4.1.Theoretical.construction............Correlation...................Error.on.................P..................61.4.4.2.Angularwheelselectivit.y..................97.........................est.................103.conclusions............64.4.4.3.ConstructingComparisonathod.i.rectional.k.ernel........113.....................5.4.2.and...........Case.Nias.6.1............64.4.4.4.Global.directional.spherical.waa.v.elets........................................5.3.2.1................66.4.4.5.Examples..................5.3.2.2.propaga.i...................................5.3.3.endulum..........................69.5.Sensitiv.it.y.analysis.78.5.1.Degree96vCartari.ances..........................................5.3.5............................................79.5.299SlepiansEast-WloLISAcalising.functions................................5.3.7.and...................................5.4.of.me80ds5.3.W.a.v.elet.error.v.ariances.of.geoid.rec.o.v.ery.for.satel.lite.formations5.4.1.remarks..............................81.5.3.1.Sim.ulations..113.Appro.decorrelation.anisotropic.othing...................6.study:.and.earthquak.120.General............................................eletvfunctionW4.3.2GRACEConviten825.3.2Deutsches GeoForschungsZentrum GFZScientific Technical Report STR 11/10
DOI: 10.2312/GFZ.b103-11107
................................Concluding.....unctional.....vit...6.3.3.....Discussion.....138.....ds................122.6.2.1.DataEstimated.t...............................predictions.........ok.....................6.3.1.del...................128.e.fo122.6.2.2.Signal.reco.v.e.r.ydelafrom.GRA.CE.spherical.harmonic.co.e.cien.t.sets..137......................122.6.2.2.1SensitivitFconclusionsunctional.mo.del.for.the.measuremen.ts..139.and.data.6.2