Publication: Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit
Date
2021
Authors
Cárcamo Díaz, Daniela Jacqueline
Vidal Díaz, Claudio
Director
Publisher
Society for Industrial and Applied Mathematics Publications
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
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.
Description
Keywords
Attitude, Exponential estimates, Formal and lie stability, Resonances, Spatial satellite
Department
Estatistika, Informatika eta Matematika / Institute for Advanced Materials and Mathematics - INAMAT2 / Estadística, Informática y Matemáticas
Faculty/School
Degree
Doctorate program
item.page.cita
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
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