{"id":"https://openalex.org/W2102084657","doi":"https://doi.org/10.1142/s0218127411029744","title":"THE THREE TROJAN PROBLEM","display_name":"THE THREE TROJAN PROBLEM","publication_year":2011,"publication_date":"2011-07-08","ids":{"openalex":"https://openalex.org/W2102084657","doi":"https://doi.org/10.1142/s0218127411029744","mag":"2102084657"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029744","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5091422553","display_name":"R. Dvo\u0159\u00e1k","orcid":"https://orcid.org/0000-0003-3052-4254"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"funder","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"RUDOLF DVORAK","raw_affiliation_strings":["Institute for Astronomy, University of Vienna, T\u00fcrkenschanzstrasse 17, A-1180 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Astronomy, University of Vienna, T\u00fcrkenschanzstrasse 17, A-1180 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037839720","display_name":"\u00c1kos Bazs\u00f3","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"funder","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"\u00c1KOS BAZS\u00d3","raw_affiliation_strings":["Institute for Astronomy, University of Vienna, T\u00fcrkenschanzstrasse 17, A-1180 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Astronomy, University of Vienna, T\u00fcrkenschanzstrasse 17, A-1180 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":65},"biblio":{"volume":"21","issue":"08","first_page":"2235","last_page":"2243"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9999,"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":0.9999,"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":0.9991,"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":0.9991,"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/star","display_name":"Star (game theory)","score":0.43684962}],"concepts":[{"id":"https://openalex.org/C174333608","wikidata":"https://www.wikidata.org/wiki/Q19635","display_name":"Trojan","level":2,"score":0.9053117},{"id":"https://openalex.org/C51244244","wikidata":"https://www.wikidata.org/wiki/Q634","display_name":"Planet","level":2,"score":0.82220507},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.757221},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5591737},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.53670657},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.43684962},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.32237244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2391192},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.15359876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13544536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07418293},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029744","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":20,"referenced_works":["https://openalex.org/W110627862","https://openalex.org/W1557400254","https://openalex.org/W1576423916","https://openalex.org/W1664949452","https://openalex.org/W1967537517","https://openalex.org/W1996880035","https://openalex.org/W2033762131","https://openalex.org/W2059698197","https://openalex.org/W2081124674","https://openalex.org/W2129170104","https://openalex.org/W2137208105","https://openalex.org/W2160250964","https://openalex.org/W2979928355","https://openalex.org/W3099987372","https://openalex.org/W3101889912","https://openalex.org/W3102167604","https://openalex.org/W3148364368","https://openalex.org/W4231334617","https://openalex.org/W4243467552","https://openalex.org/W4255576611"],"related_works":["https://openalex.org/W576137284","https://openalex.org/W4389527383","https://openalex.org/W4253721122","https://openalex.org/W4206524843","https://openalex.org/W2237899707","https://openalex.org/W2139923244","https://openalex.org/W2116135171","https://openalex.org/W2057970756","https://openalex.org/W2006176562","https://openalex.org/W1671033612"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,43],"devoted":[3],"to":[4,95,111],"the":[5,30,39,55,58,68,72,75,89,102,107,117,123,133,139,155,168],"stability":[6,31],"study":[7],"of":[8,16,23,32,57,74,91,154],"three":[9,76,156],"Trojan":[10],"planets":[11,157],"around":[12,61],"a":[13,21,146],"central":[14],"star":[15],"1":[17,24],"M":[18],"Sun":[19],"in":[20,85,88,101,125,145],"distance":[22,105],"AU.":[25],"In":[26],"an":[27],"earlier":[28],"study,":[29],"this":[33],"coorbital":[34],"configuration":[35],"was":[36],"computed":[37],"if":[38],"mutual":[40],"angular":[41,104],"separation":[42],"47.4\u00b0":[44],"[Salo":[45],"&":[46],"Yoder,":[47],"1988].":[48],"We":[49],"investigated":[50],"by":[51],"using":[52],"numerical":[53],"integrations":[54],"largeness":[56],"stable":[59,63,97],"region":[60],"these":[62],"equilibrium":[64,108],"points,":[65],"depending":[66],"on":[67,132],"mass":[69],"parameter":[70],"and":[71,128],"distances":[73],"planets.":[77],"It":[78],"turned":[79],"out":[80],"that":[81,116,160],"even":[82],"initial":[83,103],"deviations":[84],"semimajor":[86,126],"axis":[87,127],"order":[90],"5%":[92],"can":[93],"lead":[94],"very":[96],"orbits.":[98],"Also":[99],"differences":[100],"from":[106],"points":[109],"up":[110],"70\u00b0":[112],"do":[113],"not":[114],"mean":[115],"orbits":[118],"will":[119],"be":[120,163],"unstable.":[121],"But":[122],"extensions":[124],"angles":[129],"depend":[130],"sensitively":[131],"masses":[134,153],"involved,":[135],"which":[136],"were":[137],"given":[138],"same":[140],"values":[141],"for":[142,151],"our":[143],"investigations":[144],"first":[147],"step.":[148],"Test":[149],"computations":[150],"different":[152],"involved":[158],"show":[159],"they":[161],"may":[162],"quite":[164],"large":[165],"without":[166],"destroying":[167],"stability.":[169]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2102084657","counts_by_year":[],"updated_date":"2025-01-29T13:46:36.041179","created_date":"2016-06-24"}