\(J _{2}\) invariant relative orbits via differential correction algorithm

DOI10.1007/S10409-007-0097-YzbMath1202.70122OpenAlexW2055771589MaRDI QIDQ612443

Ming Xu, Shi-Jie Xu

Publication date: 28 December 2010

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-007-0097-y

zbMATH Keywords

formation flying\(J _{2}\) invariant orbitdifferential correctionformation configuration

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Related Items (12)

Bounded relative motion under zonal harmonics perturbations ⋮ The Hamiltonian structure-preserving control and some applications to nonlinear astrodynamics ⋮ Equilibrium configurations of the tethered three-body formation system and their nonlinear dynamics ⋮ The \(J_2\) invariant relative configuration of spaceborne SAR interferometer for digital elevation measurement ⋮ Nonlinear dynamics of displaced non-Keplerian orbits with low-thrust propulsion ⋮ Low-thrust displaced orbits by weak Hamiltonian-structure-preserving control ⋮ Nonlinear dynamical analysis for displaced orbits above a planet ⋮ Application of Hamiltonian structure-preserving control to formation flying on a \(J_2\)-perturbed mean circular orbit ⋮ Displaced orbits generated by solar sails for the hyperbolic and degenerated cases ⋮ Differential correction and arc-length continuation applied to boundary value problems: examples based on snap-through of circular arches ⋮ Bounded relative motions for formation flying in displaced orbits by low-thrust propulsion ⋮ Improved initialization conditions and single impulsive maneuvers for \(J_2\)-invariant relative orbits

Cites Work

• Unnamed Item
• Study on relative orbital configuration in satellite formation flying
• \(J_2\) invariant relative orbits for spacecraft formations

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