Semi-analytical estimates for the orbital stability of Earth's satellites

DOI10.1007/s00332-021-09738-wzbMath1476.70081arXiv2101.05340OpenAlexW3202847483MaRDI QIDQ2239306

Christos Efthymiopoulos, Alessandra Celletti, Irene De Blasi

Publication date: 3 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05340

zbMATH Keywords

stabilitynormal formssatellite dynamicsspace debrisorbital lifetime

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Celestial mechanics (70F15) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Nekhoroshev estimates for the orbital stability of Earth's satellites

Cites Work

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• On the dynamics of space debris: 1:1 and 2:1 resonances
• Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
• Long time stability for the main problem of artificial satellites
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• Analytical development of the lunisolar disturbing function and the critical inclination secular resonance
• Nekhoroshev theorem for perturbations of the central motion
• Towards a sustainable exploitation of the geosynchronous orbital region
• A frequency portrait of low Earth orbits
• Geostationary secular dynamics revisited: application to high area-to-mass ratio objects
• Resonances in the Earth's space environment (invited article)
• Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems
• Solar System Dynamics
• Dynamics of Resonances and Equilibria of Low Earth Objects
• Nonconvergence of formal integrals: II. Improved estimates for the optimal order of truncation

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