{"id":"https://openalex.org/W3169272052","doi":"https://doi.org/10.1007/s10957-021-01867-2","title":"Optimal Space Trajectories with Multiple Coast Arcs Using Modified Equinoctial Elements","display_name":"Optimal Space Trajectories with Multiple Coast Arcs Using Modified Equinoctial Elements","publication_year":2021,"publication_date":"2021-05-31","ids":{"openalex":"https://openalex.org/W3169272052","doi":"https://doi.org/10.1007/s10957-021-01867-2","mag":"3169272052"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01867-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-021-01867-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-021-01867-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-021-01867-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024486160","display_name":"Mauro Pontani","orcid":"https://orcid.org/0000-0003-3095-7391"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mauro Pontani","raw_affiliation_strings":["Department of Astronautical, Electrical, and Energy Engineering, Sapienza University of Rome, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3095-7391","affiliations":[{"raw_affiliation_string":"Department of Astronautical, Electrical, and Energy Engineering, Sapienza University of Rome, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024486160"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":9.8538,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.97352884,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"191","issue":"2-3","first_page":"545","last_page":"574"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9998999834060669,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9998999834060669,"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/T11701","display_name":"Space Satellite Systems and Control","score":0.9976000189781189,"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/T10325","display_name":"Astro and Planetary Science","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6658477783203125},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.508550763130188},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.47395777702331543},{"id":"https://openalex.org/keywords/thrust","display_name":"Thrust","score":0.4381552040576935},{"id":"https://openalex.org/keywords/arc-length","display_name":"Arc length","score":0.42140671610832214},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4200395941734314},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4138440191745758},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38021719455718994},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.2952263653278351},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.261618435382843},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1646956205368042}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6658477783203125},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.508550763130188},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.47395777702331543},{"id":"https://openalex.org/C79420006","wikidata":"https://www.wikidata.org/wiki/Q533668","display_name":"Thrust","level":2,"score":0.4381552040576935},{"id":"https://openalex.org/C22251595","wikidata":"https://www.wikidata.org/wiki/Q670036","display_name":"Arc length","level":3,"score":0.42140671610832214},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4200395941734314},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4138440191745758},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38021719455718994},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.2952263653278351},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.261618435382843},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1646956205368042},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-021-01867-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-021-01867-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-021-01867-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:191:y:2021:i:2:d:10.1007_s10957-021-01867-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01867-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1576999","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1576999","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10957-021-01867-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-021-01867-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-021-01867-2.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3169272052.pdf","grobid_xml":"https://content.openalex.org/works/W3169272052.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1511057778","https://openalex.org/W1569610704","https://openalex.org/W1580355047","https://openalex.org/W1581143225","https://openalex.org/W1585342863","https://openalex.org/W1603894140","https://openalex.org/W1665360653","https://openalex.org/W1672101091","https://openalex.org/W1967518383","https://openalex.org/W1981084397","https://openalex.org/W1992509321","https://openalex.org/W2001692109","https://openalex.org/W2007286336","https://openalex.org/W2009481231","https://openalex.org/W2012653029","https://openalex.org/W2018074329","https://openalex.org/W2023379527","https://openalex.org/W2026006481","https://openalex.org/W2035670438","https://openalex.org/W2041299910","https://openalex.org/W2043857731","https://openalex.org/W2057146139","https://openalex.org/W2057628945","https://openalex.org/W2067820110","https://openalex.org/W2073804591","https://openalex.org/W2078442603","https://openalex.org/W2087652496","https://openalex.org/W2095413841","https://openalex.org/W2109748554","https://openalex.org/W2122282148","https://openalex.org/W2126340845","https://openalex.org/W2130936882","https://openalex.org/W2145007605","https://openalex.org/W2162218551","https://openalex.org/W2171369888","https://openalex.org/W2283811755","https://openalex.org/W2285984485","https://openalex.org/W2319568086","https://openalex.org/W2320334061","https://openalex.org/W2485738731","https://openalex.org/W2595999167","https://openalex.org/W2883515959","https://openalex.org/W2891386315","https://openalex.org/W2904742730","https://openalex.org/W2905451508","https://openalex.org/W2995438409","https://openalex.org/W3142071609","https://openalex.org/W3158622587","https://openalex.org/W3168290941","https://openalex.org/W3194841257","https://openalex.org/W6635881743","https://openalex.org/W6824599361"],"related_works":["https://openalex.org/W4360903416","https://openalex.org/W229441251","https://openalex.org/W2351666715","https://openalex.org/W1967543778","https://openalex.org/W2173510829","https://openalex.org/W4387266582","https://openalex.org/W2757332726","https://openalex.org/W2044304292","https://openalex.org/W2110008888","https://openalex.org/W2382902960"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"detection":[2],"of":[3,16,26,99,166],"optimal":[4,27,179],"trajectories":[5,37],"with":[6,38,175],"multiple":[7],"coast":[8,180],"arcs":[9],"represents":[10],"a":[11,61,140],"significant":[12],"and":[13,41,65,107,128,153,162],"challenging":[14],"problem":[15,136,154],"practical":[17],"relevance":[18],"in":[19,31,110],"space":[20],"mission":[21],"analysis.":[22],"Two":[23],"such":[24],"types":[25],"paths":[28,152],"are":[29,49,73],"analyzed":[30],"this":[32,133],"study:":[33],"(a)":[34,57],"minimum-time":[35],"low-thrust":[36],"eclipse":[39],"intervals":[40],"(b)":[42],"minimum-fuel":[43,151],"finite-thrust":[44],"paths.":[45],"Modified":[46],"equinoctial":[47,176],"elements":[48],"used":[50],"to":[51,89,125],"describe":[52],"the":[53,77,81,85,102,130,146,160,164,167,171],"orbit":[54],"dynamics.":[55],"Problem":[56],"is":[58,105,123],"formulated":[59,138],"as":[60,139],"multiple-arc":[62],"optimization":[63,142],"problem,":[64,143],"additional,":[66],"specific":[67],"multipoint":[68,103],"necessary":[69],"conditions":[70,79,104],"for":[71,80,170],"optimality":[72],"derived.":[74],"These":[75],"yield":[76],"jump":[78],"costate":[82,172],"variables":[83,173],"at":[84],"transitions":[86],"from":[87],"light":[88],"shadow":[90],"(and":[91],"vice":[92],"versa).":[93],"A":[94],"sequential":[95],"solution":[96],"methodology":[97],"capable":[98],"enforcing":[100],"all":[101],"proposed":[106],"successfully":[108],"applied":[109],"an":[111],"illustrative":[112],"numerical":[113],"example.":[114],"Unlike":[115],"several":[116],"preceding":[117],"researches,":[118],"no":[119],"regularization":[120],"or":[121],"averaging":[122],"required":[124],"make":[126],"tractable":[127],"solve":[129],"problem.":[131],"Moreover,":[132],"work":[134],"revisits":[135],"(b),":[137],"single-arc":[141],"while":[144],"emphasizing":[145],"substantial":[147],"analytical":[148],"differences":[149],"between":[150],"(a).":[155],"This":[156],"study":[157],"also":[158],"proves":[159],"existence":[161],"provides":[163],"derivation":[165],"closed-form":[168],"expressions":[169],"(associated":[174],"elements)":[177],"along":[178],"arcs.":[181]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2021-06-22T00:00:00"}