{"id":"https://openalex.org/W4412482266","doi":"https://doi.org/10.1109/taes.2025.3589524","title":"Analytical Sensitivity Matrix for Near-Optimal Solution to Elliptical Orbit Transfer","display_name":"Analytical Sensitivity Matrix for Near-Optimal Solution to Elliptical Orbit Transfer","publication_year":2025,"publication_date":"2025-07-16","ids":{"openalex":"https://openalex.org/W4412482266","doi":"https://doi.org/10.1109/taes.2025.3589524"},"language":"en","primary_location":{"id":"doi:10.1109/taes.2025.3589524","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2025.3589524","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic 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":"https://openalex.org/A5046523835","display_name":"Shengzhou Bai","orcid":"https://orcid.org/0000-0002-2810-9150"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Shengzhou Bai","raw_affiliation_strings":["The Hong Kong Polytechnic University, Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115592911","display_name":"Yuan Wang","orcid":"https://orcid.org/0009-0000-5713-3830"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Wang","raw_affiliation_strings":["Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071925275","display_name":"Ming Cheng","orcid":"https://orcid.org/0000-0003-2349-8529"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Cheng","raw_affiliation_strings":["Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038896867","display_name":"Xiucong Sun","orcid":"https://orcid.org/0000-0001-8033-5799"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiucong Sun","raw_affiliation_strings":["Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061657570","display_name":"Ming Xu","orcid":"https://orcid.org/0000-0001-6996-0577"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Xu","raw_affiliation_strings":["Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046523835"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":25.5232,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.99256334,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"62","issue":null,"first_page":"461","last_page":"478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11701","display_name":"Space Satellite Systems and Control","score":0.9926000237464905,"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/T11701","display_name":"Space Satellite Systems and Control","score":0.9926000237464905,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9882000088691711,"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9873999953269958,"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/sensitivity","display_name":"Sensitivity (control systems)","score":0.5577314496040344},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.46125614643096924},{"id":"https://openalex.org/keywords/transfer-problem","display_name":"Transfer problem","score":0.4530016779899597},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43082165718078613},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4283779561519623},{"id":"https://openalex.org/keywords/orbit-determination","display_name":"Orbit determination","score":0.4192580580711365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34232115745544434},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3308452367782593},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.32688891887664795},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.2878131866455078},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.25597941875457764},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21646329760551453},{"id":"https://openalex.org/keywords/satellite","display_name":"Satellite","score":0.18794581294059753},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.16192784905433655},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.10569489002227783}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5577314496040344},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.46125614643096924},{"id":"https://openalex.org/C2779066501","wikidata":"https://www.wikidata.org/wiki/Q1761267","display_name":"Transfer problem","level":2,"score":0.4530016779899597},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43082165718078613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4283779561519623},{"id":"https://openalex.org/C107768556","wikidata":"https://www.wikidata.org/wiki/Q302660","display_name":"Orbit determination","level":3,"score":0.4192580580711365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34232115745544434},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3308452367782593},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.32688891887664795},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.2878131866455078},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.25597941875457764},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21646329760551453},{"id":"https://openalex.org/C19269812","wikidata":"https://www.wikidata.org/wiki/Q26540","display_name":"Satellite","level":2,"score":0.18794581294059753},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.16192784905433655},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.10569489002227783},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C155202549","wikidata":"https://www.wikidata.org/wiki/Q178803","display_name":"International trade","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taes.2025.3589524","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2025.3589524","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1539925055","https://openalex.org/W1608038851","https://openalex.org/W1964383966","https://openalex.org/W2003839102","https://openalex.org/W2022670764","https://openalex.org/W2026724594","https://openalex.org/W2026953206","https://openalex.org/W2049105993","https://openalex.org/W2049626676","https://openalex.org/W2068482527","https://openalex.org/W2077542871","https://openalex.org/W2079511263","https://openalex.org/W2080132051","https://openalex.org/W2084416941","https://openalex.org/W2090215294","https://openalex.org/W2102965920","https://openalex.org/W2130527887","https://openalex.org/W2154522750","https://openalex.org/W2277571696","https://openalex.org/W2583604643","https://openalex.org/W2626966933","https://openalex.org/W2790797614","https://openalex.org/W2791992446","https://openalex.org/W2795646222","https://openalex.org/W2810018187","https://openalex.org/W2899367451","https://openalex.org/W2903007385","https://openalex.org/W2997940012","https://openalex.org/W3035175169","https://openalex.org/W3080897991","https://openalex.org/W3120688044","https://openalex.org/W3199976502","https://openalex.org/W3208343212","https://openalex.org/W4213207796","https://openalex.org/W4283591441","https://openalex.org/W4283780089","https://openalex.org/W4320169486","https://openalex.org/W4323022378","https://openalex.org/W4387335430","https://openalex.org/W4404910011","https://openalex.org/W4407678020"],"related_works":["https://openalex.org/W2371902865","https://openalex.org/W2009358203","https://openalex.org/W2061149446","https://openalex.org/W2370781830","https://openalex.org/W2377434744","https://openalex.org/W2370452453","https://openalex.org/W2626616059","https://openalex.org/W2371469048","https://openalex.org/W2352750479","https://openalex.org/W2353100473"],"abstract_inverted_index":{"Orbit":[0],"transfer":[1,45,56,112,161],"problem":[2,46,57,162],"plays":[3],"an":[4,99],"essential":[5],"role":[6],"in":[7,85,121,184,195,224],"space":[8],"missions.":[9],"The":[10],"sensitivity":[11,105,116,150],"matrix,":[12,151],"describing":[13],"the":[14,18,33,43,53,80,104,109,115,137,148,158,174,202,206,209,216],"first-order":[15],"relationship":[16],"between":[17],"piecewise":[19,27,63],"constant":[20,28,64],"thrust":[21,23,65],"(where":[22],"acceleration":[24],"is":[25,69,77,163,177,189],"a":[26,59,152,166,182,221,229],"function":[29],"of":[30,82,123],"time)":[31],"and":[32,128,140],"orbital":[34],"element":[35],"changes,":[36],"has":[37],"been":[38],"widely":[39],"used":[40],"for":[41,51,107,157,232],"solving":[42,108],"orbit":[44,55,111,160],"due":[47],"to":[48,71,102,181],"its":[49],"ability":[50],"simplifying":[52],"nonlinear":[54],"into":[58],"linear":[60],"one":[61],"regarding":[62,143],"(PCT).":[66],"However,":[67],"it":[68,76,228],"hard":[70],"be":[72,130],"analytically":[73,131],"computed":[74],"because":[75],"defined":[78],"with":[79,201,219],"form":[81],"differential":[83,118],"equations":[84],"time,":[86],"which":[87],"brings":[88],"expensive":[89],"computation":[90,217],"burden.":[91],"To":[92],"address":[93],"this":[94,96,172],"limitation,":[95],"paper":[97],"presents":[98],"analytical":[100,149],"approach":[101],"calculate":[103],"matrix":[106],"elliptical":[110,159],"problem.":[113],"Specifically,":[114],"matrix's":[117],"equations,":[119],"expressed":[120],"terms":[122],"eccentric":[124],"anomaly,":[125],"are":[126],"derived":[127],"can":[129],"integrated":[132],"using":[133],"mathematical":[134],"techniques":[135],"involving":[136],"elliptic":[138],"integral":[139],"Taylor":[141],"expansions":[142],"eccentricity.":[144],"Furthermore,":[145],"based":[146],"on":[147],"fuel":[153,185,196,225],"near-optimal":[154,211],"PCT":[155,175,212],"solution":[156,176,204,213],"obtained":[164],"through":[165],"self-adaptive":[167],"sequential":[168],"optimization":[169,188],"method.":[170],"In":[171],"process,":[173],"sequentially":[178],"evolved,":[179],"leading":[180],"reduction":[183],"consumption.":[186],"This":[187],"self-adaptively":[190],"terminated":[191],"once":[192],"further":[193],"decreases":[194],"consumption":[197],"become":[198],"negligible.":[199],"Compared":[200],"optimal":[203],"from":[205],"conventional":[207],"method,":[208],"proposed":[210],"significantly":[214],"reduces":[215],"time":[218],"only":[220],"marginal":[222],"increase":[223],"consumption,":[226],"making":[227],"practical":[230],"option":[231],"engineering":[233],"applications.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}