{"id":"https://openalex.org/W2091116902","doi":"https://doi.org/10.1137/070683854","title":"$J_2$ Effect and Elliptic Inclined Periodic Orbits in the Collision Restricted Three-Body Problem","display_name":"$J_2$ Effect and Elliptic Inclined Periodic Orbits in the Collision Restricted Three-Body Problem","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2091116902","doi":"https://doi.org/10.1137/070683854","mag":"2091116902"},"language":"en","primary_location":{"id":"doi:10.1137/070683854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683854","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2117/21117","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016487791","display_name":"Esther Barrab\u00e9s","orcid":"https://orcid.org/0000-0002-8448-692X"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"University of Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"E. Barrab\u00e9s","raw_affiliation_strings":["Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,"],"affiliations":[{"raw_affiliation_string":"Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065814685","display_name":"Josep M. Cors","orcid":"https://orcid.org/0000-0002-9803-8490"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"University of Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Cors","raw_affiliation_strings":["Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,"],"affiliations":[{"raw_affiliation_string":"Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043253100","display_name":"Conxita Pinyol","orcid":null},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"University of Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. Pinyol","raw_affiliation_strings":["Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,"],"affiliations":[{"raw_affiliation_string":"Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066912870","display_name":"Jaume Soler","orcid":"https://orcid.org/0000-0002-6220-5170"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"University of Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Soler","raw_affiliation_strings":["Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,"],"affiliations":[{"raw_affiliation_string":"Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona,","institution_ids":["https://openalex.org/I251424209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016487791"],"corresponding_institution_ids":["https://openalex.org/I251424209"],"apc_list":null,"apc_paid":null,"fwci":9.2845,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.97953126,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"1","first_page":"1","last_page":"17"},"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/T10325","display_name":"Astro and Planetary Science","score":0.9991999864578247,"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/T11701","display_name":"Space Satellite Systems and Control","score":0.996999979019165,"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/oblate-spheroid","display_name":"Oblate spheroid","score":0.7861225008964539},{"id":"https://openalex.org/keywords/three-body-problem","display_name":"Three-body problem","score":0.7522590160369873},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.73051917552948},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.6495814323425293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5468811392784119},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5032941699028015},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4995763301849365},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.47194284200668335},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.469448059797287},{"id":"https://openalex.org/keywords/celestial-mechanics","display_name":"Celestial mechanics","score":0.46250268816947937},{"id":"https://openalex.org/keywords/kepler-problem","display_name":"Kepler problem","score":0.4322744905948639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4288446009159088},{"id":"https://openalex.org/keywords/elliptic-orbit","display_name":"Elliptic orbit","score":0.4220842123031616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10146573185920715}],"concepts":[{"id":"https://openalex.org/C30695634","wikidata":"https://www.wikidata.org/wiki/Q208395","display_name":"Oblate spheroid","level":2,"score":0.7861225008964539},{"id":"https://openalex.org/C34725247","wikidata":"https://www.wikidata.org/wiki/Q607699","display_name":"Three-body problem","level":2,"score":0.7522590160369873},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.73051917552948},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.6495814323425293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5468811392784119},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5032941699028015},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4995763301849365},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.47194284200668335},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.469448059797287},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.46250268816947937},{"id":"https://openalex.org/C20422478","wikidata":"https://www.wikidata.org/wiki/Q2564682","display_name":"Kepler problem","level":2,"score":0.4322744905948639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4288446009159088},{"id":"https://openalex.org/C173990265","wikidata":"https://www.wikidata.org/wiki/Q2268240","display_name":"Elliptic orbit","level":2,"score":0.4220842123031616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10146573185920715},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/070683854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683854","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:dnet:dugidocsuniv::bbde48825fabc4d528a557dc7fb6fdaa","is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/8980","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:upcommons.upc.edu:2117/21117","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/21117","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdx.cat:10503/60106","is_oa":true,"landing_page_url":"http://doi.org/10.1137/070683854","pdf_url":"http://hdl.handle.net/10256/8980","source":{"id":"https://openalex.org/S4306400304","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.194.1725","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.194.1725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maia.ub.es/dsg/2007/0716barrabes.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/21117","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/21117","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W34573016","https://openalex.org/W341544658","https://openalex.org/W1511057778","https://openalex.org/W1966906638","https://openalex.org/W2056327161","https://openalex.org/W2082074696","https://openalex.org/W2084779666","https://openalex.org/W2090843971","https://openalex.org/W2092513812","https://openalex.org/W2164938798"],"related_works":["https://openalex.org/W1993365844","https://openalex.org/W1637727630","https://openalex.org/W2023811396","https://openalex.org/W1977523500","https://openalex.org/W2062640808","https://openalex.org/W2091116902","https://openalex.org/W3126801208","https://openalex.org/W3033303563","https://openalex.org/W3176642132","https://openalex.org/W4324362203"],"abstract_inverted_index":{"The":[0,18],"existence":[1],"of":[2,6,10,25,36,45],"a":[3,46],"new":[4],"class":[5],"inclined":[7],"periodic":[8,20],"orbits":[9],"the":[11,37,43],"collision":[12],"restricted":[13],"three-body":[14],"problem":[15],"is":[16],"shown.":[17],"symmetric":[19],"solutions":[21],"found":[22],"are":[23,40],"perturbations":[24],"elliptic":[26],"Kepler":[27],"orbits,":[28],"and":[29,39],"they":[30],"exist":[31],"only":[32],"for":[33],"special":[34],"values":[35],"inclination":[38],"related":[41],"to":[42],"motion":[44],"satellite":[47],"around":[48],"an":[49],"oblate":[50],"planet.":[51]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}