{"id":"https://openalex.org/W3193846364","doi":"https://doi.org/10.1137/20m136760x","title":"Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit","display_name":"Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3193846364","doi":"https://doi.org/10.1137/20m136760x","mag":"3193846364"},"language":"en","primary_location":{"id":"doi:10.1137/20m136760x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m136760x","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://academica-e.unavarra.es/bitstreams/3cf37dac-0c0d-4daf-a833-9941d27e6551/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074648083","display_name":"Daniela C\u00e1rcamo-D\u00edaz","orcid":"https://orcid.org/0000-0002-7505-2724"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]},{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL","ES"],"is_corresponding":false,"raw_author_name":"Daniela C\u00e1rcamo-D\u00edaz","raw_affiliation_strings":["Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile"],"raw_orcid":"https://orcid.org/0000-0002-7505-2724","affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075274359","display_name":"Jes\u00fas F. Palaci\u00e1n","orcid":"https://orcid.org/0000-0002-0974-6656"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]},{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL","ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas F. Palaci\u00e1n","raw_affiliation_strings":["Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile"],"raw_orcid":"https://orcid.org/0000-0002-0974-6656","affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026593361","display_name":"Cl\u00e1udio Vidal","orcid":"https://orcid.org/0000-0002-1630-0898"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]},{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL","ES"],"is_corresponding":false,"raw_author_name":"Claudio Vidal","raw_affiliation_strings":["Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile","Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-1630-0898","affiliations":[{"raw_affiliation_string":"Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]},{"raw_affiliation_string":"Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060236004","display_name":"Patricia Yanguas","orcid":"https://orcid.org/0000-0001-9767-5554"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]},{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL","ES"],"is_corresponding":false,"raw_author_name":"Patricia Yanguas","raw_affiliation_strings":["Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile"],"raw_orcid":"https://orcid.org/0000-0001-9767-5554","affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica, Inform\u00e1tica y Matem\u00e1ticas and Institute for Advanced Ma-terials and Mathematics (INAMAT 2 ), Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Grupo de Investigaci\u00f3n en Sistemas Din\u00e1micos y Aplicaciones-GISDA, Departamento de Matem\u00e1tica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, VIII Regi\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2959,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94364074,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"3","first_page":"1421","last_page":"1463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9968000054359436,"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":0.9968000054359436,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9962999820709229,"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.6637102365493774},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6636151075363159},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6631404161453247},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.6171417832374573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5882062315940857},{"id":"https://openalex.org/keywords/satellite","display_name":"Satellite","score":0.5552505850791931},{"id":"https://openalex.org/keywords/kolmogorov\u2013arnold\u2013moser-theorem","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","score":0.5251814126968384},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.48907095193862915},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4212421178817749},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4055832326412201},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.28693801164627075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23489099740982056},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1913350522518158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1836569607257843}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6637102365493774},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6636151075363159},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6631404161453247},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.6171417832374573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5882062315940857},{"id":"https://openalex.org/C19269812","wikidata":"https://www.wikidata.org/wiki/Q26540","display_name":"Satellite","level":2,"score":0.5552505850791931},{"id":"https://openalex.org/C8522634","wikidata":"https://www.wikidata.org/wiki/Q587081","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","level":3,"score":0.5251814126968384},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.48907095193862915},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4212421178817749},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4055832326412201},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.28693801164627075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23489099740982056},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1913350522518158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1836569607257843},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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":2,"locations":[{"id":"doi:10.1137/20m136760x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m136760x","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:academica-e.unavarra.es:2454/41920","is_oa":true,"landing_page_url":"https://hdl.handle.net/2454/41920","pdf_url":"https://academica-e.unavarra.es/bitstreams/3cf37dac-0c0d-4daf-a833-9941d27e6551/download","source":{"id":"https://openalex.org/S4306402560","display_name":"Academica-e (Universidad P\u00fablica de Navarra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I175051016","host_organization_name":"Universidad P\u00fablica de Navarra (UPNA)","host_organization_lineage":["https://openalex.org/I175051016"],"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":"info:eu-repo/semantics/acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:academica-e.unavarra.es:2454/41920","is_oa":true,"landing_page_url":"https://hdl.handle.net/2454/41920","pdf_url":"https://academica-e.unavarra.es/bitstreams/3cf37dac-0c0d-4daf-a833-9941d27e6551/download","source":{"id":"https://openalex.org/S4306402560","display_name":"Academica-e (Universidad P\u00fablica de Navarra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I175051016","host_organization_name":"Universidad P\u00fablica de Navarra (UPNA)","host_organization_lineage":["https://openalex.org/I175051016"],"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":"info:eu-repo/semantics/acceptedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3217514049","display_name":null,"funder_award_id":"MTM 2017-88137-C2-1-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G4776386089","display_name":null,"funder_award_id":"PhD/2016-21161143","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G6707515915","display_name":null,"funder_award_id":"1180288","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3193846364.pdf","grobid_xml":"https://content.openalex.org/works/W3193846364.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1965076174","https://openalex.org/W1969460796","https://openalex.org/W2017863475","https://openalex.org/W2029242902","https://openalex.org/W2049576205","https://openalex.org/W2065871703","https://openalex.org/W2085438912","https://openalex.org/W2088205288","https://openalex.org/W2121511041","https://openalex.org/W2489381051","https://openalex.org/W2601632460","https://openalex.org/W2602666383","https://openalex.org/W3015621922","https://openalex.org/W4206143029","https://openalex.org/W4239042636","https://openalex.org/W4240863980"],"related_works":["https://openalex.org/W1527292232","https://openalex.org/W2921481273","https://openalex.org/W4232338349","https://openalex.org/W3122252734","https://openalex.org/W4310007495","https://openalex.org/W1968411182","https://openalex.org/W2625596548","https://openalex.org/W4385890073","https://openalex.org/W3049437348","https://openalex.org/W2970939483"],"abstract_inverted_index":{"The":[0,39],"paper":[1],"considers":[2],"the":[3,9,22,33],"attitude":[4],"nonlinear":[5],"stability":[6,25],"analysis":[7],"of":[8,21],"spatial":[10],"satellite":[11],"problem":[12],"and":[13,28],"takes":[14],"it":[15],"one":[16],"step":[17],"further.":[18],"A":[19],"study":[20],"Lie":[23,34,52],"(formal)":[24],"is":[26,44],"presented":[27],"long-time":[29],"estimates":[30],"related":[31,50],"to":[32,51],"stable":[35],"cases":[36],"are":[37,59],"provided.":[38],"connection":[40],"with":[41],"Nekhoroshev":[42],"theory":[43],"also":[45,60],"shown.":[46],"Finally,":[47],"KAM":[48],"tori":[49],"stable,":[53],"as":[54,56],"well":[55],"unstable":[57],"equilibria,":[58],"calculated.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
