Theorem of optimal image trajectories in the restricted problem of three bodies

DOI10.1007/S10957-015-0852-3zbMath1339.49035OpenAlexW2190522611MaRDI QIDQ283948

Mauro Pontani, Angelo Miele

Publication date: 17 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-015-0852-3

zbMATH Keywords

optimal image trajectoriesrestricted three-bodies problemspacecraft trajectory optimization

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Applications of optimal control and differential games (49N90) Three-body problems (70F07) Existence theories for optimal control problems involving ordinary differential equations (49J15) Orbital mechanics (70M20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Low-thrust transfers to southern \(L_2\) near-rectilinear halo orbits facilitated by invariant manifolds

Cites Work

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• General theory of optimal trajectory for rocket flight in a resisting medium
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• Three-dimensional, periodic, ?halo? orbits
• Numerical determination of Lissajous trajectories in the restricted three-body problem
• Analytic construction of periodic orbits about the collinear points
• Quasi-periodic orbits about the translunar libration point

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