Cárcamo Díaz, Daniela JacquelinePalacián Subiela, Jesús FranciscoVidal Díaz, ClaudioYanguas Sayas, Patricia2022-01-242022-01-242021D. 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/10.1137/20M136760X1536-004010.1137/20M136760Xhttps://academica-e.unavarra.es/handle/2454/41920The 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.49 p.application/pdfeng© 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.AttitudeExponential estimatesFormal and lie stabilityResonancesSpatial satelliteinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess