Halo orbit mission correction maneuvers using optimal control

DOI10.1016/S0005-1098(01)00279-5zbMath1172.93388OpenAlexW2142302039MaRDI QIDQ1613163

Martin W. Lo, Radu Serban, Wang Sang Koon, Jerrold E. Marsden, Linda R. Petzold

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00279-5

zbMATH Keywords

Dynamical systemsOptimal controlInvariant manifoldsSpace mission designThree-body problemHalo orbit transfer

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Application models in control theory (93C95)

Related Items (11)

Smooth Schur factorizations in the continuation of separatrices ⋮ Robust control of the Hill's problem with drag ⋮ Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics ⋮ Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem ⋮ Utilizing the geometric mechanics framework to predict attitude in a full ephemeris model of the Cislunar region ⋮ COOPT -- a software package for optimal control of large-scale differential-algebraic equation systems ⋮ Solving optimal control problems by exploiting inherent dynamical systems structures ⋮ New methods in celestial mechanics and mission design ⋮ Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid ⋮ Multi-objective transfer to libration-point orbits via the mixed low-thrust and invariant-manifold approach ⋮ Robust control of the circular restricted three-body problem with drag

Uses Software

• COOPT
• ADIFOR
• SNOPT
• DASPK 3.0

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of optimal control problems with state jumps
• Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\)
• An SQP method for the optimal control of large-scale dynamical systems
• Software and algorithms for sensitivity analysis of large-scale differential algebraic systems
• Numerical determination of Lissajous trajectories in the restricted three-body problem
• Analytic construction of periodic orbits about the collinear points
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• COOPT -- a software package for optimal control of large-scale differential-algebraic equation systems

This page was built for publication: Halo orbit mission correction maneuvers using optimal control