Application of Hamiltonian structure-preserving control to formation flying on a \(J_2\)-perturbed mean circular orbit

DOI10.1007/s10569-012-9430-2zbMath1266.70050OpenAlexW1972836899MaRDI QIDQ1955973

Ming Xu, Tian Tan, Jia-Min Zhu, Shi-Jie Xu

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-012-9430-2

zbMATH Keywords

formation flyingFloquet stabilityHamiltonian structure-preserving control\(J_2\)-perturbed mean circular orbitbounded quasi-periodic relative trajectories

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Control of mechanical systems (70Q05) Orbital mechanics (70M20)

Related Items (3)

The Hamiltonian structure-preserving control and some applications to nonlinear astrodynamics ⋮ Cluster flight control for fractionated spacecraft on an elliptic orbit ⋮ Reconfiguration of a smart surface using heteroclinic connections

Cites Work

• Unnamed Item
• \(J _{2}\) invariant relative orbits via differential correction algorithm
• Nonlinear dynamical analysis for displaced orbits above a planet
• Minimum control for spacecraft formations in a J2 perturbed environment
• Canonical modelling of relative spacecraft motion via epicyclic orbital elements
• Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations
• An intelligent control concept for formation flying satellites
• E/I-vector separation for safe switching of the GRACE formation
• \(J_2\) invariant relative orbits for spacecraft formations

This page was built for publication: Application of Hamiltonian structure-preserving control to formation flying on a \(J_2\)-perturbed mean circular orbit