The dynamical structure of the MEO region: long-term stability, chaos, and transport

DOI10.1007/s10569-015-9665-9zbMath1336.70040arXiv1507.06170OpenAlexW2220968938WikidataQ57380960 ScholiaQ57380960MaRDI QIDQ285125

Aaron J. Rosengren, Giovanni B. Valsecchi, Alessandro Rossi, Florent Deleflie, Elisa Maria Alessi, Jérôme Daquin

Publication date: 18 May 2016

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06170

zbMATH Keywords

chaosfast Lyapunov indicators (FLI)GNSSlunisolar resonancesmedium-Earth orbitsorbital resonancessecular dynamicsstability maps

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Orbital mechanics (70M20) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (12)

Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits ⋮ Analytical development of the lunisolar disturbing function and the critical inclination secular resonance ⋮ Semi-analytical estimates for the chaotic diffusion in the second fundamental model of resonance. Application to Earth's navigation satellites ⋮ Nekhoroshev estimates for the orbital stability of Earth's satellites ⋮ Preliminary orbits with line-of-sight correction for LEO satellites observed with radar ⋮ Dynamics of Resonances and Equilibria of Low Earth Objects ⋮ Moser's quadratic, symplectic map ⋮ Towards a sustainable exploitation of the geosynchronous orbital region ⋮ A frequency portrait of low Earth orbits ⋮ Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations ⋮ On the predictability and robustness of Galileo disposal orbits ⋮ A deep dive into the \(2g+h\) resonance: separatrices, manifolds and phase space structure of navigation satellites

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