{"id":"https://openalex.org/W1543671560","doi":"https://doi.org/10.18419/opus-3874","title":"Nichtlineare Optimierung regionaler Gravitationsfeldmodelle aus SST-Daten","display_name":"Nichtlineare Optimierung regionaler Gravitationsfeldmodelle aus SST-Daten","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1543671560","doi":"https://doi.org/10.18419/opus-3874","mag":"1543671560"},"language":"de","primary_location":{"id":"pmh:oai:elib.uni-stuttgart.de:11682/3891","doi":null,"is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-70382","pdf_url":"http://elib.uni-stuttgart.de/handle/11682/3891","source":{"id":"https://openalex.org/S4306401556","display_name":"OPUS Publication Server of the University of Stuttgart (University of Stuttgart)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100066346","host_organization_name":"University of Stuttgart","host_organization_lineage":["https://openalex.org/I100066346"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"},"volume":null,"type":"dissertation","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://elib.uni-stuttgart.de/handle/11682/3891","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111363982","display_name":"Markus Antoni","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Antoni, Markus","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5111363982"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10655","display_name":"GNSS positioning and interference","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gravity-field-modeling","display_name":"gravity field modeling","score":0.6399999856948853},{"id":"https://openalex.org/keywords/spherical-radial-basis-functions","display_name":"spherical radial basis functions","score":0.6890000104904175},{"id":"https://openalex.org/keywords/legendre-coefficients","display_name":"Legendre coefficients","score":0.7039999961853027},{"id":"https://openalex.org/keywords/grace","display_name":"grace","score":0.4950000047683716},{"id":"https://openalex.org/keywords/satellite-gravity-data","display_name":"satellite gravity data","score":0.414000004529953},{"id":"https://openalex.org/keywords/range-rate","display_name":"range rate","score":0.47699999809265137},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"spherical harmonics","score":0.5960000157356262},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"nonlinear programming","score":0.6159999966621399},{"id":"https://openalex.org/keywords/satellite-orbits","display_name":"satellite orbits","score":0.38199999928474426},{"id":"https://openalex.org/keywords/energy-integral","display_name":"energy integral","score":0.45399999618530273},{"id":"https://openalex.org/keywords/in-situ-observation","display_name":"in situ observation","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.4003310203552246}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:elib.uni-stuttgart.de:11682/3891","doi":null,"is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-70382","pdf_url":"http://elib.uni-stuttgart.de/handle/11682/3891","source":{"id":"https://openalex.org/S4306401556","display_name":"OPUS Publication Server of the University of Stuttgart (University of Stuttgart)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100066346","host_organization_name":"University of Stuttgart","host_organization_lineage":["https://openalex.org/I100066346"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"},{"id":"doi:10.18419/opus-3874","doi":"https://doi.org/10.18419/opus-3874","is_oa":true,"landing_page_url":"https://doi.org/10.18419/opus-3874","pdf_url":null,"source":{"id":"https://openalex.org/S7407052998","display_name":"Universit\u00e4tsbibliothek Stuttgart","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Collection"},{"id":"mag:1543671560","doi":null,"is_oa":false,"landing_page_url":"https://elib.uni-stuttgart.de/handle/11682/3891?mode=full","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:elib.uni-stuttgart.de:11682/3891","doi":null,"is_oa":true,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-70382","pdf_url":"http://elib.uni-stuttgart.de/handle/11682/3891","source":{"id":"https://openalex.org/S4306401556","display_name":"OPUS Publication Server of the University of Stuttgart (University of Stuttgart)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100066346","host_organization_name":"University of Stuttgart","host_organization_lineage":["https://openalex.org/I100066346"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1543671560.pdf","grobid_xml":"https://content.openalex.org/works/W1543671560.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7098584626","https://openalex.org/W49277787","https://openalex.org/W45785865","https://openalex.org/W4200165215","https://openalex.org/W2414987236","https://openalex.org/W2993909007","https://openalex.org/W1570840467","https://openalex.org/W85144485","https://openalex.org/W2024824031","https://openalex.org/W7100904627"],"abstract_inverted_index":{"Die":[0,15,83,156,393,576,600,610],"Bestimmung":[1,453],"des":[2,85,179,225,294,327,352,372,507],"Schwerefeldes":[3,373],"der":[4,13,21,26,43,59,66,129,136,141,162,220,302,330,336,340,347,375,381,395,406,412,427,433,443,454,483,511,563,581,590,596,598,625,644,647,654,685,696],"Erde":[5],"ist":[6,464,651],"noch":[7],"immer":[8],"eine":[9,57,150,261,350,419,466,490,497,504,579,679,700],"gro\u00dfe":[10,467],"Herausforderung":[11],"in":[12,75,100,112,228,374,482,519,545,589,595,668],"Geod\u00e4sie.":[14],"globalen":[16,77,86],"Modelle":[17],"basieren":[18],"insbesondere":[19],"auf":[20,167,195,291,451,583],"Beobachtung":[22,367],"von":[23,117,242,249,377,436,689],"Satelliten.":[24],"In":[25,65,278,432,486,631],"\u00fcblichen":[27],"Analyse":[28,67,435,529,653],"durch":[29,61,90,103,126,149,159,205,260,296,349,403,496,573,658],"Kugelfl\u00e4chenfunktionen":[30,91],"werden":[31,111,175,324,401,430,438,509,530],"oft":[32],"nicht":[33,45,247,386,550,619],"alle":[34],"Informationen":[35,368],"erfasst,":[36],"da":[37],"die":[38,49,124,127,131,134,160,165,176,181,185,189,196,214,222,282,290,297,300,308,321,344,363,404,410,415,422,439,449,452,493,494,514,517,528,543,622,642,652,693],"daf\u00fcr":[39],"notwendige":[40],"gleichm\u00e4\u00dfige":[41],"Verteilung":[42,121],"Daten":[44,118,525,567,605],"realisierbar":[46],"ist.":[47],"Um":[48,458],"vernachl\u00e4ssigten":[50],"lokalen":[51],"Details":[52,461],"zu":[53,462,474,479,592],"erfassen,":[54,463],"kann":[55,384,473],"man":[56,69,418,678],"Verbesserung":[58],"L\u00f6sung":[60,125,405,484],"lokale":[62,460,533],"Basisfunktionen":[63,106,110,137,265,337,360,428,445,470,501,660,676],"bestimmen.":[64],"spaltet":[68],"das":[70,73,97,206,664],"Signal":[71,99,257,665,683],"und":[72,78,133,184,299,314,329,354,379,383,414,441,477,516,532,536,568,587,662,684],"Modell":[74,634],"einen":[76,79,168,209,355],"residualen":[80,356],"Anteil":[81,357],"auf.":[82],"Modellierung":[84,116],"Feldes":[87],"erfolgt":[88],"dabei":[89],"mit":[92,119,673],"bekannten":[93],"sph\u00e4risch-harmonischen":[94],"Koeffizienten,":[95],"w\u00e4hrend":[96,213],"verbleibende":[98],"dieser":[101,279,487],"Arbeit":[102,280,488],"optimierte":[104],"radiale":[105,147,659],"approximiert":[107,663],"wird.":[108,139,277],"Radiale":[109],"vielen":[113],"Disziplinen":[114],"zur":[115],"unregelm\u00e4\u00dfiger":[120],"verwendet,":[122],"wobei":[123,188,692],"Wahl":[128],"Zentren,":[130],"Skalierungsfaktoren":[132,456],"Form":[135,157,376],"beeinflusst":[138,253],"Auf":[140],"Kugel":[142],"l\u00e4sst":[143],"sich":[144,613,636],"jede":[145],"(sph\u00e4rische)":[146],"Basisfunktion":[148],"Reihenentwicklung":[151,268],"nach":[152,269,311,333,397,424],"den":[153,218,243,250,270,312,315,334,398,425,524,546,566,604,615],"Legendrepolynomen":[154,271],"darstellen.":[155],"wird":[158,204,258,281,342,489,553,602],"Zahlenfolge":[161],"Legendre-Koeffizienten":[163],"modelliert,":[164,266],"h\u00e4ufig":[166,446],"skalaren":[169],"Formparameter":[170,442,518],"zur\u00fcckgef\u00fchrt":[171],"werden.":[172,254,392,703],"Als":[173],"(Pseudo-)Beobachtungen":[174],"Potentialwerte":[177],"entlang":[178],"Orbits,":[180],"Line-of-Sight":[182,215,331],"Gradienten":[183,332],"Range-Rate":[186,341,396,611,648],"behandelt,":[187],"letzten":[190],"beiden":[191],"Signale":[192,240,495],"vor":[193,640],"allem":[194,641],"geod\u00e4tische":[197],"GRACE-Mission":[198,221,348,608],"abzielen.":[199],"Das":[200,255],"Potential":[201],"im":[202,245,272,666,687],"Orbit":[203,667,688],"Energieintegral":[207],"f\u00fcr":[208,287,614,621],"einzelnen":[210],"Satelliten":[211,382],"berechnet,":[212],"Gradiometrie":[216],"aus":[217,263,358,523,565,627,646],"Abstandsmessungen":[219],"zweite":[223],"Ableitung":[224],"gravitativen":[226],"Potentials":[227,295,328],"Flugrichtung":[229],"approximiert.":[230],"Beide":[231],"Beobachtungen":[232,657],"k\u00f6nnen":[233],"als":[234,274,388,618],"in-situ":[235,389,656],"Messungen":[236],"aufgefasst":[237],"werden,":[238],"deren":[239,267,318],"nur":[241],"Positionen":[244,378,643],"Schwerefeld,":[246],"aber":[248],"fr\u00fcheren":[251],"Potentialwerten":[252],"residuale":[256],"jeweils":[259,537],"Summe":[262],"radialen":[264,359,444],"Weiteren":[273],"Legendre-Darstellung":[275],"bezeichnet":[276],"sogenannte":[283],"Wigner-Darstellung":[284,416],"(der":[285],"Basisfunktionen)":[286],"Kreisbahnen":[288],"entwickelt,":[289,492],"einer":[292,475,520,593,606,669],"Parametrisierung":[293],"Keplerelemente":[298],"Verwendung":[301],"Wigner-d-Funktionen":[303],"basiert.":[304],"Diese":[305],"Variante":[306],"vereinfacht":[307],"partiellen":[309],"Ableitungen":[310,394],"Keplerelementen":[313],"Basisparametern":[316],"sowie":[317],"Implementierung.":[319],"F\u00fcr":[320,503,527],"nichtlineare":[322,623],"Optimierung":[323,522,601,624],"beide":[325],"Darstellungen":[326],"Parametern":[335,400,426],"differenziert.":[338],"Mit":[339],"auch":[343,513],"eigentliche":[345],"Messung":[346,390],"\u00dcberlagerung":[351],"Referenzfeldes":[353],"modelliert.":[361,502],"Durch":[362,409],"Orbitintegration":[364],"enth\u00e4lt":[365],"diese":[366,570],"\u00fcber":[369],"fr\u00fchere":[370],"Zust\u00e4nde":[371],"Geschwindigkeiten":[380],"daher":[385],"mehr":[387],"betrachtet":[391],"gesuchten":[399],"\u00fcblicherweise":[402],"Variationsgleichungen":[407],"bestimmt.":[408],"Approximationen":[411],"Hill-Theorie":[413],"erh\u00e4lt":[417],"geschlossene":[420],"Formel,":[421],"direkt":[423],"differenziert":[429],"kann.":[431],"(residualen)":[434],"Satellitenbeobachtungen":[437],"Zentren":[440,515,645],"fixiert,":[447],"was":[448],"Aufgabe":[450],"linearen":[455],"reduziert.":[457],"viele":[459],"eventuell":[465],"Anzahl":[468,499],"an":[469,500,603],"notwendig.":[471],"Dies":[472],"\u00dcberparametrisierung":[476],"damit":[478],"nummerischen":[480],"Problemen":[481],"f\u00fchren.":[485],"Alternative":[491],"minimale":[498],"bessere":[505],"Approximation":[506,686],"Signals":[508],"neben":[510],"Skalierung":[512],"nichtlinearen":[521],"gesch\u00e4tzt.":[526],"globale":[531],"Optimierungsverfahren":[534],"diskutiert":[535],"exemplarisch":[538],"ein":[539,554,574,584],"Ansatz":[540,559],"implementiert.":[541],"Da":[542],"L\u00f6sungen":[544],"(globalen)":[547],"genetischen":[548],"Algorithmen":[549],"reproduzierbar":[551],"sind,":[552],"lokales":[555],"Verfahren":[556],"bevorzugt.":[557],"Der":[558],"bestimmt":[560],"geeignete":[561],"Startwerte":[562],"Basisparameter":[564,626],"optimiert":[569],"Werte":[571],"iterativ":[572],"Trust-Region-Verfahren.":[575],"Methode":[577],"erlaubt":[578],"Einschr\u00e4nkung":[580],"Parameter":[582],"vorgegebenes":[585],"Intervall":[586],"f\u00fchrt":[588],"Regel":[591],"Konvergenz":[594],"N\u00e4he":[597],"Startwerte.":[599],"simulierten":[607],"getestet.":[609],"erweist":[612],"entwickelten":[616],"Algorithmus":[617],"geeignet":[620],"einem":[628,632],"komplexeren":[629],"Schwerefeld.":[630],"vereinfachten":[633],"lassen":[635],"bei":[637],"geeigneten":[638],"Startwerten":[639],"verbessern.":[649],"Dagegen":[650],"behandelten":[655],"erfolgreich":[661],"hohen":[670],"Qualit\u00e4t.":[671],"Bereits":[672],"relativ":[674],"wenigen":[675],"erreicht":[677],"Korrelation":[680],"zwischen":[681],"dem":[682],"90-100":[690],"%,":[691],"statistischen":[694],"Gr\u00f6\u00dfen":[695],"Differenz":[697],"mindestens":[698],"um":[699],"Gr\u00f6\u00dfenordnung":[701],"reduziert":[702]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2016-06-24T00:00:00"}