Relative motion of satellites exploiting the super-integrability of Kepler's problem

DOI10.1007/s10569-009-9253-yzbMath1375.70039OpenAlexW2136386045MaRDI QIDQ968345

B. E. Eshmatov

Publication date: 5 May 2010

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

Full work available at URL: http://epubs.surrey.ac.uk/189429/1/relativeKepler.PDF

zbMATH Keywords

variational equationsrelative motionformation flyingconstellationstetrahedral formation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Orbital mechanics (70M20) (n)-body problems (70F10)

Related Items (1)

Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations

Cites Work

• Unnamed Item
• Modeling orbital relative motion to enable formation design from application requirements
• High-order analytical solutions of Hill's equations
• Second-order state transition for relative motion near perturbed, elliptic orbits
• Modelling natural formations of LEO satellites
• Symplectic connections and the linearisation of Hamiltonian systems
• \(J_2\) invariant relative orbits for spacecraft formations

This page was built for publication: Relative motion of satellites exploiting the super-integrability of Kepler's problem