Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit
DOI10.1137/20M136760XzbMath1481.37105OpenAlexW3193846364MaRDI QIDQ5158630
Daniela Cárcamo-Díaz, Claudio Vidal, Patricia Yanguas, Jesús F. Palacián
Publication date: 25 October 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m136760x
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Error bounds for numerical methods for ordinary differential equations (65L70) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Parametric resonances for nonlinear problems in mechanics (70K28) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Cites Work
- Unnamed Item
- On the stability of resonant rotation of a symmetric satellite in an elliptical orbit
- Asymptotic stability estimates near an equilibrium point
- Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance
- Invariant tori in Hamiltonian systems with high order proper degeneracy
- On the stability of autonomous systems in the presence of several resonances
- On stability in the presence of multiple resonance of odd order
- Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
- On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
- Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances
- Higher-order averaging, formal series and numerical integration. III: Error bounds
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems
- On the stability of Hamiltonian systems in the presence of resonances
- Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
- New aspects in the theory of stability of Hamiltonian systems
- Attitude stability of rigid satellites via a normalized Hamiltonian
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- Canonical transformations depending on a small parameter
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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