On the dynamics of space debris: 1:1 and 2:1 resonances

DOI10.1007/s00332-014-9217-6zbMath1302.70036arXiv1408.1254OpenAlexW3101291080MaRDI QIDQ484454

Alessandra Celletti, Cătălin Galeş

Publication date: 7 January 2015

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

Full work available at URL: https://arxiv.org/abs/1408.1254

zbMATH Keywords

resonancespace debrisfast laypunov indicators

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (15)

The dynamical structure of the MEO region: long-term stability, chaos, and transport ⋮ Proper elements for space debris ⋮ Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits ⋮ Analytical development of the lunisolar disturbing function and the critical inclination secular resonance ⋮ Dynamics of highly eccentric and highly inclined space debris ⋮ Old perturbative methods for a new problem in celestial mechanics: the space debris dynamics ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Nekhoroshev estimates for the orbital stability of Earth's satellites ⋮ Resonances in the Earth's space environment (invited article) ⋮ Dynamics of Resonances and Equilibria of Low Earth Objects ⋮ On the dynamics of space debris: 1:1 and 2:1 resonances ⋮ Semi-analytical estimates for the orbital stability of Earth's satellites ⋮ Towards a sustainable exploitation of the geosynchronous orbital region ⋮ Geostationary secular dynamics revisited: application to high area-to-mass ratio objects ⋮ Dynamical investigation of minor resonances for space debris

Cites Work

• Unnamed Item
• Unnamed Item
• On the dynamics of space debris: 1:1 and 2:1 resonances
• Collision risk against space debris in Earth orbits
• A web of secondary resonances for large \(A/m\) geostationary debris
• Regular and chaotic dynamics.
• Fast Lyapunov indicators. Application to asteroidal motion
• Resonant dynamics of medium Earth orbits: space debris issues
• A cartographic study of the phase space of the elliptic restricted three body problem. Application to the Sun-Jupiter-asteroid system
• The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems
• Stability and Chaos in Celestial Mechanics
• Dynamics of artificial satellite orbits with tesseral resonances including the effects of luni- solar perturbations
• Methods of Celestial Mechanics
• On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
• On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems

This page was built for publication: On the dynamics of space debris: 1:1 and 2:1 resonances