Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit
| dc.contributor.author | Cárcamo Díaz, Daniela Jacqueline | |
| dc.contributor.author | Palacián Subiela, Jesús Francisco | |
| dc.contributor.author | Vidal Díaz, Claudio | |
| dc.contributor.author | Yanguas Sayas, Patricia | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2022-01-24T11:40:05Z | |
| dc.date.available | 2022-01-24T11:40:05Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The paper considers the attitude nonlinear stability analysis of the spatial satellite problem and takes it one step further. A study of the Lie (formal) stability is presented and long-time estimates related to the Lie stable cases are provided. The connection with Nekhoroshev theory is also shown. Finally, KAM tori related to Lie stable, as well as unstable equilibria, are also calculated. | en |
| dc.description.sponsorship | This work was partially supported by Project MTM 2017-88137-C2-1-P of the Ministry of Science, Innovation and Universities of Spain. The work of the first author was supported by CONICYT PhD/2016-21161143. The work of the third author was partially supported by Fondecyt grant 1180288. | en |
| dc.format.extent | 49 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | D. Carcamo-Díaz, J.F. Palacián, C. Vidal and P. Yanguas, ‘Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit', in SIAM Journal on Applied Dynamical Systems, 2021, Vol. 20, No. 3: pp. 1421-1463, doi: https://doi.org/10.1137/20M136760X | en |
| dc.identifier.doi | 10.1137/20M136760X | |
| dc.identifier.issn | 1536-0040 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/41920 | |
| dc.language.iso | eng | en |
| dc.publisher | Society for Industrial and Applied Mathematics Publications | |
| dc.relation.ispartof | Siam Journal on Applied Dynamical Systems, 20 (3), 1421-1463 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88137-C2-1-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1137/20M136760X | |
| dc.rights | © 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Attitude | en |
| dc.subject | Exponential estimates | en |
| dc.subject | Formal and lie stability | en |
| dc.subject | Resonances | en |
| dc.subject | Spatial satellite | en |
| dc.title | Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fd72fabe-ab53-4622-8759-9bfa2fa0b4e7 | |
| relation.isAuthorOfPublication | e3114364-a716-4abc-a0ad-72ab7401d283 | |
| relation.isAuthorOfPublication.latestForDiscovery | fd72fabe-ab53-4622-8759-9bfa2fa0b4e7 |