Optimal space trajectories with multiple coast arcs using modified equinoctial elements

DOI10.1007/s10957-021-01867-2zbMath1486.49028OpenAlexW3169272052MaRDI QIDQ2055347

Mauro Pontani

Publication date: 1 December 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-021-01867-2

zbMATH Keywords

optimal space trajectorieslow-thrust trajectoriesminimum-fuel trajectoriescoast arcsminimum-time trajectoriesmodified equinoctial elementsspacecraft eclipsing

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Celestial mechanics (70F15) Orbital mechanics (70M20) Optimality conditions for problems involving ordinary differential equations (49K15)

Uses Software

• Mathematica

Cites Work

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• Very low-thrust trajectory optimization using a direct SQP method
• Survey of Numerical Methods for Trajectory Optimization
• Optimal Low Thrust Trajectories to the Moon
• Optimal low‒thrust orbit transfers with eclipsing
• Closed-form lagrangian multipliers for coast periods of optimum trajectories
• An analytical study of the impulsive approximation.
• Primer vector on fixed-time impulsive trajectories.
• Lagrange multipliers and the state transition matrix for coasting arcs.
• On the equinoctial orbit elements

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