{"id":"https://openalex.org/W4281776271","doi":"https://doi.org/10.3390/sym14061132","title":"Trajectories Derived from Periodic Orbits around the Lagrangian Point L1 and Lunar Swing-Bys: Application in Transfers to Near-Earth Asteroids","display_name":"Trajectories Derived from Periodic Orbits around the Lagrangian Point L1 and Lunar Swing-Bys: Application in Transfers to Near-Earth Asteroids","publication_year":2022,"publication_date":"2022-05-31","ids":{"openalex":"https://openalex.org/W4281776271","doi":"https://doi.org/10.3390/sym14061132"},"language":"en","primary_location":{"id":"doi:10.3390/sym14061132","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14061132","pdf_url":"https://www.mdpi.com/2073-8994/14/6/1132/pdf?version=1655863262","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/6/1132/pdf?version=1655863262","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028402811","display_name":"Rebeca Sadigursky Ribeiro","orcid":"https://orcid.org/0000-0003-2465-0318"},"institutions":[{"id":"https://openalex.org/I80849659","display_name":"Instituto Nacional de Pesquisas Espaciais","ror":"https://ror.org/04xbn6x09","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210151455","https://openalex.org/I80849659"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Rebeca S. Ribeiro","raw_affiliation_strings":["Space Mechanics and Control Division (CMC), National Institute for Space Research, INPE, S\u00e3o Jos\u00e9 dos Campos 12227-010, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Space Mechanics and Control Division (CMC), National Institute for Space Research, INPE, S\u00e3o Jos\u00e9 dos Campos 12227-010, Brazil","institution_ids":["https://openalex.org/I80849659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103498203","display_name":"Cristiano F. de Melo","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cristiano F. de Melo","raw_affiliation_strings":["Department of Mechanical Engineering (DEMEC), Federal University of Minas Gerais, UFMG, Belo Horizonte 31270-901, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering (DEMEC), Federal University of Minas Gerais, UFMG, Belo Horizonte 31270-901, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061035416","display_name":"A. F. B. A. Prado","orcid":"https://orcid.org/0000-0002-7966-3231"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I80849659","display_name":"Instituto Nacional de Pesquisas Espaciais","ror":"https://ror.org/04xbn6x09","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210151455","https://openalex.org/I80849659"]}],"countries":["BR","RU"],"is_corresponding":false,"raw_author_name":"Ant\u00f4nio F. B. A. Prado","raw_affiliation_strings":["Academy of Engineering, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho Maklaya, Moscow 117198, Russia","Graduate Division (DIPGR) National Institute for Space Research, INPE, S\u00e3o Jos\u00e9 dos Campos 12227-010, Brazil","Academy of Engineering, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho Maklaya, Moscow 117198, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Engineering, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho Maklaya, Moscow 117198, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Graduate Division (DIPGR) National Institute for Space Research, INPE, S\u00e3o Jos\u00e9 dos Campos 12227-010, Brazil","institution_ids":["https://openalex.org/I80849659"]},{"raw_affiliation_string":"Academy of Engineering, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho Maklaya, Moscow 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028402811"],"corresponding_institution_ids":["https://openalex.org/I80849659"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9287,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75210278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"14","issue":"6","first_page":"1132","last_page":"1132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9998000264167786,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.9948999881744385,"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/spacecraft","display_name":"Spacecraft","score":0.778472900390625},{"id":"https://openalex.org/keywords/lagrangian-point","display_name":"Lagrangian point","score":0.7693443298339844},{"id":"https://openalex.org/keywords/asteroid","display_name":"Asteroid","score":0.6395857334136963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5522215962409973},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5497621893882751},{"id":"https://openalex.org/keywords/astrobiology","display_name":"Astrobiology","score":0.48843589425086975},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4859524965286255},{"id":"https://openalex.org/keywords/three-body-problem","display_name":"Three-body problem","score":0.4851475656032562},{"id":"https://openalex.org/keywords/circular-orbit","display_name":"Circular orbit","score":0.4773060083389282},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.32407933473587036},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.2929517328739166},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.2846369743347168},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.2668493688106537}],"concepts":[{"id":"https://openalex.org/C29829512","wikidata":"https://www.wikidata.org/wiki/Q40218","display_name":"Spacecraft","level":2,"score":0.778472900390625},{"id":"https://openalex.org/C140619461","wikidata":"https://www.wikidata.org/wiki/Q190463","display_name":"Lagrangian point","level":2,"score":0.7693443298339844},{"id":"https://openalex.org/C58142911","wikidata":"https://www.wikidata.org/wiki/Q3863","display_name":"Asteroid","level":2,"score":0.6395857334136963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5522215962409973},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5497621893882751},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","level":1,"score":0.48843589425086975},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4859524965286255},{"id":"https://openalex.org/C34725247","wikidata":"https://www.wikidata.org/wiki/Q607699","display_name":"Three-body problem","level":2,"score":0.4851475656032562},{"id":"https://openalex.org/C59108619","wikidata":"https://www.wikidata.org/wiki/Q2261398","display_name":"Circular orbit","level":2,"score":0.4773060083389282},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.32407933473587036},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.2929517328739166},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2846369743347168},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.2668493688106537},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14061132","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14061132","pdf_url":"https://www.mdpi.com/2073-8994/14/6/1132/pdf?version=1655863262","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7df4d0872e14468cbe52e1aa050c7b42","is_oa":true,"landing_page_url":"https://doaj.org/article/7df4d0872e14468cbe52e1aa050c7b42","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 6, p 1132 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/6/1132/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14061132","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14061132","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14061132","pdf_url":"https://www.mdpi.com/2073-8994/14/6/1132/pdf?version=1655863262","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4281776271.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W151964990","https://openalex.org/W1967803114","https://openalex.org/W1983331044","https://openalex.org/W1993761431","https://openalex.org/W2027172627","https://openalex.org/W2027374473","https://openalex.org/W2043554363","https://openalex.org/W2065593601","https://openalex.org/W2074172907","https://openalex.org/W2085664297","https://openalex.org/W2093166993","https://openalex.org/W2109003093","https://openalex.org/W2136647878","https://openalex.org/W2137685264","https://openalex.org/W2137716690","https://openalex.org/W2188215365","https://openalex.org/W2325615797","https://openalex.org/W2335586959","https://openalex.org/W2591694678","https://openalex.org/W3007768948","https://openalex.org/W3027006352","https://openalex.org/W3042820400","https://openalex.org/W3106867596","https://openalex.org/W3205619759","https://openalex.org/W4246450893","https://openalex.org/W6687400603","https://openalex.org/W6778397524","https://openalex.org/W6780499941","https://openalex.org/W6786466552"],"related_works":["https://openalex.org/W1992880517","https://openalex.org/W2519739960","https://openalex.org/W4281668931","https://openalex.org/W4221157152","https://openalex.org/W2793103195","https://openalex.org/W2903957386","https://openalex.org/W2043263458","https://openalex.org/W2029943534","https://openalex.org/W2063615681","https://openalex.org/W2896349667"],"abstract_inverted_index":{"To":[0,53],"present":[1],"a":[2,79,172,218],"set":[3,219],"of":[4,50,57,64,90,125,132,139,153,155,175,202,211,220,224,244,246],"trajectories":[5,56,108,154,179,216],"derived":[6,109],"from":[7,67,110,190,258],"the":[8,13,21,30,48,51,55,87,94,96,99,111,120,123,126,130,133,140,144,146,149,161,176,178,183,191,200,209,225,249],"retrograde":[9],"periodic":[10,43,72,112],"orbits":[11,44,73,85,113,166,201],"around":[12,74],"Lagrangian":[14],"equilibrium":[15],"point":[16],"L1,":[17],"this":[18,58,104],"paper":[19],"considers":[20],"Circular":[22],"Restricted":[23,31],"Three-body":[24],"Problem":[25],"with":[26,160,167,182],"Earth-Moon":[27],"masses":[28],"(CR3BP),":[29],"Bicircular,":[32],"and":[33,39,98,116,148,164,185,194,204,255],"Full":[34],"Four-Body":[35],"Sun-Earth-Moon-spacecraft":[36],"Problems":[37],"(BCR4BP":[38],"FR4BP,":[40],"respectively).":[41],"These":[42],"are":[45,76,101,114,136,157],"predicted":[46],"by":[47,228],"dynamics":[49],"CR3BP.":[52],"generate":[54,71],"set,":[59],"first,":[60],"slightly":[61],"different":[62],"increments":[63],"velocity":[65],"(\u2206Vs)":[66],"those":[68],"needed":[69],"to":[70,78,122,188,217,230,234,248],"L1":[75],"applied":[77],"spacecraft":[80,121,213],"in":[81,86,103,222],"circular":[82],"low":[83],"Earth":[84],"same":[88],"direction":[89],"their":[91],"motion":[92],"when":[93,232],"Earth,":[95,147],"spacecraft,":[97],"Moon":[100,184],"aligned":[102],"order.":[105],"Thus,":[106],"translunar":[107],"obtained":[115],"they":[117],"will":[118],"lead":[119],"vicinity":[124],"Moon.":[127],"Depending":[128],"on":[129],"values":[131],"|\u2206Vs|,":[134,177],"which":[135],"also":[137,241],"functions":[138],"relative":[141],"positioning":[142],"between":[143,199],"Sun,":[145],"Moon,":[150,162],"three":[151],"types":[152],"interest":[156],"found:":[158],"Collision":[159],"escape,":[163],"geocentric":[165],"large":[168],"semi-major":[169],"axes.":[170],"For":[171],"well-defined":[173],"interval":[174],"accomplish":[180],"swing-bys":[181],"obtain":[186],"energy":[187],"escape":[189],"Earth\u2013Moon":[192],"system":[193],"reach":[195],"Near-Earth":[196],"Asteroids":[197],"(NEAs)":[198],"Venus":[203],"Mars.":[205],"This":[206,239],"procedure":[207],"reduces":[208],"costs":[210],"inserting":[212],"into":[214],"transfer":[215],"NEAs":[221,250],"terms":[223],"required":[226],"|\u2206V|":[227],"up":[229],"5%":[231],"compared":[233],"Lambert\u2019s":[235],"problem,":[236],"for":[237],"example.":[238],"work":[240],"presents":[242],"analyses":[243],"examples":[245],"transfers":[247],"3361":[251],"Orpheus,":[252],"99942":[253],"Apophis,":[254],"65803":[256],"Didymos,":[257],"2025":[259],"on.":[260]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}
