Applications of the Hamilton — Jacobi theory to the optimisation of orbital transfer

DOI10.1016/S0362-546X(96)00358-6zbMath0898.70018MaRDI QIDQ4374236

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Publication date: 1 November 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

closed-form solutionelliptic motionparabolic motionsufficient canonicity conditiontransfer arc problemundefinite integral

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Orbital mechanics (70M20) Optimality conditions for problems involving ordinary differential equations (49K15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• The calculus of variations and optimal control. An introduction
• Optimal transfer from the equilateral libration points
• Closed-form lagrangian multipliers for coast periods of optimum trajectories
• Canonical transformation applications to optimal trajectory analysis.
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