{"id":"https://openalex.org/W2055709756","doi":"https://doi.org/10.1137/130949233","title":"Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid","display_name":"Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2055709756","doi":"https://doi.org/10.1137/130949233","mag":"2055709756"},"language":"en","primary_location":{"id":"doi:10.1137/130949233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130949233","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049800215","display_name":"Antonio Hern\u00e1ndez-Gardu\u00f1o","orcid":"https://orcid.org/0000-0001-7026-5328"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio Hern\u00e1ndez-Gardun\u0342o","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103078932","display_name":"Cristina Stoica","orcid":"https://orcid.org/0000-0002-6586-7444"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cristina Stoica","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9312,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8705791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"1","first_page":"221","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10093","display_name":"Nuclear physics research studies","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10413","display_name":"High-pressure geophysics and materials","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6227678656578064},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5548664331436157},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.554600715637207},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5484486818313599},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5423163175582886},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5281503200531006},{"id":"https://openalex.org/keywords/lagrangian-point","display_name":"Lagrangian point","score":0.4876519441604614},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.48578837513923645},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.4635867774486542},{"id":"https://openalex.org/keywords/three-body-problem","display_name":"Three-body problem","score":0.4566066265106201},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4470835328102112},{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.43962401151657104},{"id":"https://openalex.org/keywords/gravitational-potential","display_name":"Gravitational potential","score":0.4378800690174103},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"Angular momentum","score":0.41340893507003784},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.40702885389328003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.314951092004776},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2261466383934021},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18178945779800415}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6227678656578064},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5548664331436157},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.554600715637207},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5484486818313599},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5423163175582886},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5281503200531006},{"id":"https://openalex.org/C140619461","wikidata":"https://www.wikidata.org/wiki/Q190463","display_name":"Lagrangian point","level":2,"score":0.4876519441604614},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48578837513923645},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.4635867774486542},{"id":"https://openalex.org/C34725247","wikidata":"https://www.wikidata.org/wiki/Q607699","display_name":"Three-body problem","level":2,"score":0.4566066265106201},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4470835328102112},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.43962401151657104},{"id":"https://openalex.org/C127090403","wikidata":"https://www.wikidata.org/wiki/Q1544012","display_name":"Gravitational potential","level":3,"score":0.4378800690174103},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.41340893507003784},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.40702885389328003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.314951092004776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2261466383934021},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18178945779800415},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130949233","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130949233","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1590168486","https://openalex.org/W1666181473","https://openalex.org/W1971144344","https://openalex.org/W1998881618","https://openalex.org/W2003406344","https://openalex.org/W2014166863","https://openalex.org/W2040847746","https://openalex.org/W2051436583","https://openalex.org/W2063892320","https://openalex.org/W2096828612","https://openalex.org/W2142302039","https://openalex.org/W2142456707","https://openalex.org/W2164877093","https://openalex.org/W2167309987","https://openalex.org/W2170006210","https://openalex.org/W2313299119","https://openalex.org/W2630604409","https://openalex.org/W4246199042"],"related_works":["https://openalex.org/W1992880517","https://openalex.org/W2163242031","https://openalex.org/W4281668931","https://openalex.org/W2519739960","https://openalex.org/W4221157152","https://openalex.org/W2793103195","https://openalex.org/W2043263458","https://openalex.org/W2029943534","https://openalex.org/W2903957386","https://openalex.org/W168355890"],"abstract_inverted_index":{"We":[0,59,123,139],"consider":[1],"the":[2,24,27,34,38,62,66,88,94,108,115,142,153,163,166],"gravitational":[3,57,167],"interaction":[4],"of":[5,19,26,29,41,68,110,146,165],"two":[6,10],"point":[7,52],"masses":[8],"(or":[9],"perfect":[11],"spheres)":[12],"and":[13,44,71,128,150],"a":[14,49],"symmetric":[15],"spheroid":[16],"whose":[17],"axis":[18],"symmetry":[20],"is":[21,84,118],"perpendicular":[22],"to":[23,106,135],"plane":[25],"centers":[28,40,67],"mass.":[30],"Under":[31],"appropriate":[32],"approximations,":[33],"system":[35],"formed":[36],"by":[37,86,93,112],"three":[39,51],"mass":[42,53,69],"decouples":[43],"may":[45],"be":[46],"considered":[47],"as":[48],"separate":[50],"problem":[54],"with":[55],"modified":[56],"interaction.":[58],"find":[60],"all":[61],"relative":[63,155],"equilibria":[64,156],"for":[65],"system,":[70],"show":[72],"that":[73,114,152],"they":[74],"can":[75],"have":[76],"isosceles":[77],"or":[78],"scalene":[79,154],"configurations.":[80],"The":[81],"linear":[82],"stability":[83,101,116],"studied":[85],"using":[87],"phase":[89],"space":[90],"splittings":[91],"provided":[92],"reduced":[95],"energy":[96],"momentum":[97],"method.":[98],"In":[99],"our":[100],"calculations,":[102],"we":[103],"are":[104,157],"able":[105],"reduce":[107],"number":[109],"parameters":[111],"observing":[113],"type":[117],"invariant":[119],"under":[120],"certain":[121],"rescalings.":[122],"generalize":[124],"these":[125],"rescaling":[126],"symmetries":[127],"prove":[129],"some":[130],"theoretical":[131],"invariance":[132],"results":[133,143],"applicable":[134],"Lie-symmetric":[136],"Hamiltonian":[137],"systems.":[138],"comment":[140],"on":[141],"in":[144,159],"light":[145],"physically":[147],"realistic":[148],"situations":[149],"note":[151],"present":[158],"models":[160],"which":[161],"validate":[162],"truncation":[164],"series":[168],"expansion":[169],"within":[170],"${\\cal":[171],"O}(10^{-1}).$":[172]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}