Geodesic flow of the averaged controlled Kepler equation

DOI10.1515/FORUM.2009.038zbMath1171.49030OpenAlexW4298390892MaRDI QIDQ3182454

Jean-Baptiste Caillau, Bernard Bonnard

Publication date: 9 October 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2009.038

zbMATH Keywords

cut locuscontrolled Kepler systemoptimality properties of geodesics

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Control of mechanical systems (70Q05)

Related Items (9)

Bifurcations of the conjugate locus ⋮ Lunar Perturbation of the Metric Associated to the Averaged Orbital Transfer ⋮ The conjugate locus on convex surfaces ⋮ Geometric orbital transfer using averaging techniques ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Zermelo navigation problems on surfaces of revolution and geometric optimal control ⋮ The conjugate locus in convex 3-manifolds ⋮ Metrics with equatorial singularities on the sphere ⋮ Time versus energy in the averaged optimal coplanar Kepler transfer towards circular orbits

Cites Work

• Geometric optimal control of elliptic Keplerian orbits
• Scattering of geodesic fields, I
• On the cut loci of a von Mangoldt's surface of revolution
• Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
• Connections between differential geometry and topology. I. Simply connected surfaces
• Poincaré’s closed geodesic on a convex surface

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