{"id":"https://openalex.org/W4407564463","doi":"https://doi.org/10.1080/10095020.2024.2448227","title":"Optimized formulas of the gravitational field of a vertical cylindrical prism","display_name":"Optimized formulas of the gravitational field of a vertical cylindrical prism","publication_year":2025,"publication_date":"2025-02-14","ids":{"openalex":"https://openalex.org/W4407564463","doi":"https://doi.org/10.1080/10095020.2024.2448227"},"language":"en","primary_location":{"id":"doi:10.1080/10095020.2024.2448227","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10095020.2024.2448227","pdf_url":null,"source":{"id":"https://openalex.org/S36798160","display_name":"Geo-spatial Information Science","issn_l":"1009-5020","issn":["1009-5020","1993-5153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geo-spatial Information Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/10095020.2024.2448227","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017521113","display_name":"Xiao\u2010Le Deng","orcid":"https://orcid.org/0000-0002-0556-0811"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Xiao-Le Deng","raw_affiliation_strings":["University of Stuttgart","Institute of Geodesy, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Geodesy, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063179093","display_name":"Nico Sneeuw","orcid":"https://orcid.org/0000-0003-1796-0131"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nico Sneeuw","raw_affiliation_strings":["University of Stuttgart","Institute of Geodesy, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Geodesy, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062356437","display_name":"Dimitrios Tsoulis","orcid":"https://orcid.org/0000-0001-8322-8964"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Dimitrios Tsoulis","raw_affiliation_strings":["Aristotle University of Thessaloniki","Department of Geodesy and Surveying, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"Aristotle University of Thessaloniki","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Department of Geodesy and Surveying, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017521113"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":1625,"currency":"GBP","value_usd":1993},"apc_paid":{"value":1625,"currency":"GBP","value_usd":1993},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01977618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"6","first_page":"3277","last_page":"3290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9994000196456909,"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":0.9994000196456909,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prism","display_name":"Prism","score":0.7388838529586792},{"id":"https://openalex.org/keywords/gravitational-field","display_name":"Gravitational field","score":0.6772130727767944},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.541485071182251},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.5202268958091736},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3871224522590637},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3784274756908417},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.36416542530059814},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3605073094367981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36003273725509644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30147212743759155},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.26095443964004517},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0484393835067749}],"concepts":[{"id":"https://openalex.org/C67666897","wikidata":"https://www.wikidata.org/wiki/Q165896","display_name":"Prism","level":2,"score":0.7388838529586792},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.6772130727767944},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.541485071182251},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5202268958091736},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3871224522590637},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3784274756908417},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.36416542530059814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3605073094367981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36003273725509644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30147212743759155},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26095443964004517},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0484393835067749}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10095020.2024.2448227","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10095020.2024.2448227","pdf_url":null,"source":{"id":"https://openalex.org/S36798160","display_name":"Geo-spatial Information Science","issn_l":"1009-5020","issn":["1009-5020","1993-5153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geo-spatial Information Science","raw_type":"journal-article"},{"id":"pmh:doi:10.6084/m9.figshare.28418344","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},{"id":"pmh:oai:doaj.org/article:5ee16ac5a9444b4a80bac7be03d5268d","is_oa":true,"landing_page_url":"https://doaj.org/article/5ee16ac5a9444b4a80bac7be03d5268d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Geo-spatial Information Science, Vol 28, Iss 6, Pp 3277-3290 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/10095020.2024.2448227","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10095020.2024.2448227","pdf_url":null,"source":{"id":"https://openalex.org/S36798160","display_name":"Geo-spatial Information Science","issn_l":"1009-5020","issn":["1009-5020","1993-5153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geo-spatial Information Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W144732898","https://openalex.org/W566240195","https://openalex.org/W1511720900","https://openalex.org/W1971583791","https://openalex.org/W1987114907","https://openalex.org/W1991917721","https://openalex.org/W2001965250","https://openalex.org/W2010311099","https://openalex.org/W2012208288","https://openalex.org/W2014632250","https://openalex.org/W2018107787","https://openalex.org/W2027704643","https://openalex.org/W2032303006","https://openalex.org/W2032983417","https://openalex.org/W2033090228","https://openalex.org/W2033885968","https://openalex.org/W2038067177","https://openalex.org/W2049387919","https://openalex.org/W2054046053","https://openalex.org/W2061250918","https://openalex.org/W2109412997","https://openalex.org/W2122530320","https://openalex.org/W2133006645","https://openalex.org/W2142684523","https://openalex.org/W2148351127","https://openalex.org/W2163334886","https://openalex.org/W2169303538","https://openalex.org/W2287287836","https://openalex.org/W2302460194","https://openalex.org/W2354035757","https://openalex.org/W2381871138","https://openalex.org/W2417120466","https://openalex.org/W2463243616","https://openalex.org/W2491586728","https://openalex.org/W2522128856","https://openalex.org/W2762363016","https://openalex.org/W2765104143","https://openalex.org/W2773448793","https://openalex.org/W2784366545","https://openalex.org/W2969297985","https://openalex.org/W3198475354","https://openalex.org/W4233394821","https://openalex.org/W4236357630","https://openalex.org/W4308499075","https://openalex.org/W4322767749","https://openalex.org/W4323544193","https://openalex.org/W4328130535","https://openalex.org/W6651627904","https://openalex.org/W6888737401"],"related_works":["https://openalex.org/W2988506060","https://openalex.org/W2059106138","https://openalex.org/W1969730512","https://openalex.org/W3148710599","https://openalex.org/W2131076696","https://openalex.org/W2968317811","https://openalex.org/W1989475764","https://openalex.org/W2368254404","https://openalex.org/W2806803087","https://openalex.org/W2793845525"],"abstract_inverted_index":{"Modeling":[0],"the":[1,5,11,14,37,60,83,104,111,115,127,133,150,154,176,187,200,210,216,226,231,235,251,261,268,279,299,303],"gravitational":[2],"effects":[3],"of":[4,10,36,49,62,114,120,153,230,250,273,294],"topography":[6],"and":[7,21,30,44,86,96,118,218,254,271,285],"other":[8],"layers":[9],"Earth":[12],"is":[13,64,99,130,145,158],"basis":[15],"not":[16],"only":[17],"for":[18,27,199,267,291],"gravity":[19,28,295],"corrections":[20],"reductions":[22],"in":[23,32,260,298],"geodesy":[24],"but":[25],"also":[26],"inversions":[29],"interpretations":[31],"geophysics.":[33],"Previous":[34],"formulas":[35,76,95,98,113,192],"Gravitational":[38,41,45],"Potential":[39],"(GP),":[40],"Vector":[42],"(GV),":[43],"Gradient":[46],"Tensor":[47],"(GGT)":[48],"a":[50,78,108,121,141,161,180,274,286],"vertical":[51,213,228,275],"cylindrical":[52,105,109,122,142,155,163,166,177,232,276,287],"prism":[53,106,178,277],"were":[54],"derived":[55,94,125],"from":[56],"complex":[57],"conversion":[58],"relations,":[59],"result":[61],"which":[63],"relatively":[65],"complicated.":[66],"In":[67],"this":[68],"contribution,":[69],"we":[70,172],"are":[71,124,221,256,289],"able":[72],"to":[73,107,148,159,174,194,203,225],"optimize":[74],"such":[75],"through":[77],"particular":[79],"geometrical":[80],"relation":[81],"between":[82,91],"computation":[84,128,196,211,244],"point":[85,129],"integration":[87],"point.":[88],"The":[89,264],"consistency":[90],"our":[92,190],"newly":[93],"previous":[97],"confirmed":[100],"analytically.":[101],"By":[102],"extending":[103],"shell,":[110],"analytical":[112,139],"GP,":[116,252,269],"GV,":[117,253,270],"GGT":[119,201,255,272],"shell":[123,143,164,288],"when":[126,209],"located":[131],"on":[132,137],"polar":[134],"axis.":[135],"Based":[136],"these":[138],"formulas,":[140],"benchmark":[144],"put":[146],"forward":[147,296],"evaluate":[149],"numerical":[151,170,262],"properties":[152],"prism,":[156],"that":[157,208],"discrete":[160],"whole":[162],"into":[165],"prisms.":[167],"For":[168],"actual":[169],"calculations,":[171],"propose":[173],"approximate":[175],"with":[179,223],"second-order":[181,236,280],"3D":[182,237,281],"Taylor":[183,238,282],"series":[184,239,283],"expansion.":[185],"Beyond":[186],"improved":[188],"simplicity,":[189],"optimized":[191],"help":[193],"save":[195],"time":[197],"(particularly":[198],"up":[202],"20%).":[204],"Numerical":[205],"results":[206],"reveal":[207],"point\u2019s":[212],"distance":[214,229],"changes,":[215],"relative":[217,248],"absolute":[219],"errors":[220,249],"symmetric":[222],"respect":[224],"center":[227],"shell.":[233],"Using":[234],"expansion":[240,284],"method":[241],"provides":[242],"sufficient":[243],"precision,":[245],"i.e.":[246],"all":[247],"smaller":[257],"than":[258],"10<sup>\u22122</sup>":[259],"experiments.":[263],"new":[265],"expressions":[266],"using":[278],"provided":[290],"practical":[292],"applications":[293],"modeling":[297],"Python":[300],"language":[301],"at":[302],"GitHub":[304],"website":[305],"https://www.github.com/xiaoledeng/optimized-formulas-of-gp-gv-ggt.":[306]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}