Long-term passive distance-bounded relative motion in the presence of \(J_2\) perturbations

DOI10.1007/s10569-015-9603-xzbMath1314.70033OpenAlexW2116406558WikidataQ59413328 ScholiaQ59413328MaRDI QIDQ2348911

Jian Guo, Jing Chu, Eberhard K. A. Gill

Publication date: 16 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10569-015-9603-x

zbMATH Keywords

Hamiltonian dynamicsaction-angle variables\(J_2\) perturbation\(J_2\)-invariant orbitsdistance-bounded relative motiondistributed space systems

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton-Jacobi equations in mechanics (70H20) Celestial mechanics (70F15) Orbital mechanics (70M20) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (1)

Bounded motion design in the Earth zonal problem using differential algebra based normal form methods

Uses Software

• DLMF

Cites Work

• Numerical integration of periodic orbits in the main problem of artificial satellite theory
• Integrable approximation of \(J_2\)-perturbed relative orbits
• Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations
• A table of elliptic integrals of the second kind
• A table of elliptic integrals of the third kind
• A Table of Elliptic Integrals: Cubic Cases
• Elliptic Integrals of the First Kind
• \(J_2\) invariant relative orbits for spacecraft formations
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