The use of invariant manifolds for transfers between unstable periodic orbits of different energies

DOI10.1007/s10569-010-9285-3zbMath1223.70077OpenAlexW2009434414WikidataQ58468414 ScholiaQ58468414MaRDI QIDQ642363

Daniel J. Scheeres, George H. Born, Kathryn E. Davis, Rodney L. Anderson

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9285-3

zbMATH Keywords

circular restricted three-body probleminvariant manifoldsunstable periodic orbitsdynamical systems theorylibration point orbitstransfer trajectories

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Related Items (11)

Constructing motion primitive sets to summarize periodic orbit families and hyperbolic invariant manifolds in a multi-body system ⋮ Optimal transfers between unstable periodic orbits using invariant manifolds ⋮ Direct and indirect capture of near-Earth asteroids in the Earth-Moon system ⋮ Indirect transfer to the Earth-Eoon L1 libration point ⋮ Transfers between libration point orbits of Sun-Earth and Earth-Moon systems by using invariant manifolds ⋮ Origin and continuation of \(3/2, 5/2, 3/1, 4/1\) and \(5/1\) resonant periodic orbits in the circular and elliptic restricted three-body problem ⋮ Global analysis of direct transfers from lunar orbits to Sun-Earth libration point regimes ⋮ Cylindrical isomorphic mapping applied to invariant manifold dynamics for Earth-Moon missions ⋮ Comparison of low-energy lunar transfer trajectories to invariant manifolds ⋮ Automated stable region generation, detection, and representation for applications to mission design ⋮ Multi-objective transfer to libration-point orbits via the mixed low-thrust and invariant-manifold approach

Cites Work

• Unnamed Item
• Unnamed Item
• Earth-Mars halo to halo low thrust manifold transfers
• Low-energy, low-thrust transfers to the Moon
• Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II
• New families of periodic orbits in Hill's problem of three bodies
• Dynamics and Mission Design Near Libration Points
• The ?Halo? family of 3-dimensional periodic orbits in the Earth-Moon restricted 3-body problem
• Three-dimensional, periodic, ?halo? orbits
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• Connecting orbits and invariant manifolds in the spatial restricted three-body problem
• BURRAU'S PROBLEM OF THREE BODIES
• Low Energy Transit Orbits in the Restricted Three-Body Problems
• Quasi-periodic orbits about the translunar libration point

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