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

Project identifier

AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88137-C2-1-P/ES/recolecta

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

item.page.rights

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