{"id":"https://openalex.org/W4409215311","doi":"https://doi.org/10.2514/1.i011579","title":"Copula-Kinematic Performance Model for Aircraft Four-Dimensional Trajectory Generation","display_name":"Copula-Kinematic Performance Model for Aircraft Four-Dimensional Trajectory Generation","publication_year":2025,"publication_date":"2025-04-07","ids":{"openalex":"https://openalex.org/W4409215311","doi":"https://doi.org/10.2514/1.i011579"},"language":"en","primary_location":{"id":"doi:10.2514/1.i011579","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.i011579","pdf_url":null,"source":{"id":"https://openalex.org/S4210240151","display_name":"Journal of Aerospace Information Systems","issn_l":"2327-3097","issn":["2327-3097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aerospace Information Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hainuo Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hainuo Zhou","raw_affiliation_strings":["Nanjing University of Aeronautics and Astronautics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091323271","display_name":"Weili Zeng","orcid":"https://orcid.org/0000-0003-2816-9839"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weili Zeng","raw_affiliation_strings":["Nanjing University of Aeronautics and Astronautics"],"raw_orcid":"https://orcid.org/0000-0003-2816-9839","affiliations":[{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101838563","display_name":"Hao Jiang","orcid":"https://orcid.org/0000-0003-3086-024X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Jiang","raw_affiliation_strings":["Nanjing University of Aeronautics and Astronautics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016449543","display_name":"Yadong Zhou","orcid":"https://orcid.org/0000-0003-0383-9955"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yadong Zhou","raw_affiliation_strings":["Nanjing University of Aeronautics and Astronautics"],"raw_orcid":"https://orcid.org/0000-0003-0383-9955","affiliations":[{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101735525","display_name":"Wentao Guo","orcid":"https://orcid.org/0009-0005-8174-7687"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wentao Guo","raw_affiliation_strings":["Nanjing University of Aeronautics and Astronautics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":3.3626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.90888701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"22","issue":"8","first_page":"644","last_page":"660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T12125","display_name":"Aerospace and Aviation Technology","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/kinematics","display_name":"Kinematics","score":0.7342572212219238},{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.6696556210517883},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.535089910030365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4563212990760803},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.3731837868690491},{"id":"https://openalex.org/keywords/aeronautics","display_name":"Aeronautics","score":0.32789546251296997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2712571620941162},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2645132541656494},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.21210640668869019},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21084198355674744},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.11233744025230408}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.7342572212219238},{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.6696556210517883},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.535089910030365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4563212990760803},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.3731837868690491},{"id":"https://openalex.org/C178802073","wikidata":"https://www.wikidata.org/wiki/Q8421","display_name":"Aeronautics","level":1,"score":0.32789546251296997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2712571620941162},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2645132541656494},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.21210640668869019},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21084198355674744},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.11233744025230408},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2514/1.i011579","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.i011579","pdf_url":null,"source":{"id":"https://openalex.org/S4210240151","display_name":"Journal of Aerospace Information Systems","issn_l":"2327-3097","issn":["2327-3097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aerospace Information Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1256665628","display_name":null,"funder_award_id":"NT2023014","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5692467829","display_name":null,"funder_award_id":"52202442","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6971677790","display_name":null,"funder_award_id":"2022YFB2602403","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W581531601","https://openalex.org/W1571381357","https://openalex.org/W1981176313","https://openalex.org/W1996238547","https://openalex.org/W1998476362","https://openalex.org/W2035773351","https://openalex.org/W2044908439","https://openalex.org/W2072830030","https://openalex.org/W2218203127","https://openalex.org/W2256523477","https://openalex.org/W2479980505","https://openalex.org/W2493250243","https://openalex.org/W2536335069","https://openalex.org/W2605475419","https://openalex.org/W2887125087","https://openalex.org/W2903301461","https://openalex.org/W2903394842","https://openalex.org/W2903992755","https://openalex.org/W2970386640","https://openalex.org/W2998116569","https://openalex.org/W3206156324","https://openalex.org/W4251346171","https://openalex.org/W4280562731","https://openalex.org/W4280569950","https://openalex.org/W4308160287","https://openalex.org/W4313252624","https://openalex.org/W4385989031","https://openalex.org/W4388021773","https://openalex.org/W4391172841","https://openalex.org/W4402634141","https://openalex.org/W4402688943"],"related_works":["https://openalex.org/W4254184784","https://openalex.org/W2789522126","https://openalex.org/W2066693961","https://openalex.org/W2368363778","https://openalex.org/W1502836838","https://openalex.org/W122584421","https://openalex.org/W4244295168","https://openalex.org/W2351412012","https://openalex.org/W2753351751","https://openalex.org/W2117969153"],"abstract_inverted_index":{"Four-dimensional":[0],"trajectory":[1,56,115],"generation":[2,15,57,116],"is":[3,126],"a":[4,54,63,75,88],"fundamental":[5],"technology":[6],"for":[7,24,59,92,109,178],"implementing":[8],"strategic":[9,174],"air":[10],"traffic":[11],"management.":[12],"Current":[13],"mainstream":[14],"techniques":[16],"based":[17,61],"on":[18,62],"kinematic":[19,49,72,105,160],"models":[20,106,161],"do":[21],"not":[22],"account":[23],"the":[25,45,71,82,97,119,149,153,179],"coupling":[26],"characteristics":[27],"between":[28,36,84],"aircraft":[29,60,183],"motion":[30,85],"parameters,":[31,86],"leading":[32],"to":[33,80,173],"significant":[34],"deviations":[35],"generated":[37,151],"trajectories":[38,150],"and":[39,99,111,132,143,162,188],"actual":[40,166],"flight":[41,102,167,191],"paths.":[42,168],"To":[43,95],"address":[44],"limitations":[46],"of":[47,101,181],"conventional":[48,159],"models,":[50],"this":[51,171],"paper":[52],"proposes":[53],"four-dimensional":[55],"method":[58,125,172],"copula-kinematic":[64,154],"performance":[65],"model.":[66],"This":[67],"method,":[68],"framed":[69],"within":[70],"model,":[73],"utilizes":[74],"Gaussian":[76],"mixture":[77],"copula":[78],"function":[79],"capture":[81],"correlations":[83],"establishing":[87],"joint":[89],"distribution":[90],"model":[91,155],"these":[93],"parameters.":[94],"ensure":[96],"continuity":[98],"realism":[100],"trajectories,":[103],"separate":[104],"are":[107],"developed":[108],"straight":[110],"turning":[112],"flights,":[113],"with":[114,165],"performed":[117],"using":[118,128],"Monte":[120],"Carlo":[121],"sampling":[122],"method.":[123],"The":[124],"validated":[127],"flights":[129],"arriving":[130],"at":[131],"departing":[133],"from":[134,140,158,190],"Shanghai":[135],"Pudong":[136],"International":[137],"Airport,":[138],"examined":[139],"both":[141],"spatial":[142],"temporal":[144],"perspectives.":[145],"Results":[146],"indicate":[147],"that":[148],"by":[152],"outperform":[156],"those":[157],"align":[163],"closely":[164],"Furthermore,":[169],"applying":[170],"conflict":[175],"identification":[176],"allows":[177],"detection":[180],"potential":[182],"conflicts,":[184],"including":[185],"their":[186],"locations":[187],"timings,":[189],"plans.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}