Coulomb spacecraft formation flying: equilibrium points, periodic orbits, and center manifolds

DOI10.1016/j.physd.2020.132357OpenAlexW3002935782WikidataQ126315724 ScholiaQ126315724MaRDI QIDQ2116259

Xiaoyu Fu, Mingpei Lin, Ming Xu, Han Yan

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132357

zbMATH Keywords

Hamiltonian equationsPoincaré mapbounded motionLie series methodintermittent chaosClohessy-Wiltshire equationseight-charge symmetric configurationLyapunov periodic orbitresonance halo orbit

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05) Dynamical systems methods for problems in mechanics (70G60)

Cites Work

• The onset of chaotic motion in the restricted problem of three bodies
• Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• Numerical computation of normal forms around some periodic orbits of the restricted three-body problem
• Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach
• The dynamics around the collinear equilibrium points of the RTBP

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