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Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit
(Society for Industrial and Applied Mathematics Publications, 2021)
info:eu-repo/semantics/article,
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 ...
Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
(American Institute of Mathematical Sciences (AIMS), 2021)
Artículo / Artikulua,
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability. Our result generalises ...
On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
(Pleiades Publishing, 2020)
Artículo / Artikulua,
The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In ...