Computation of weak stability boundaries: Sun-Jupiter system

DOI10.1007/s10569-009-9222-5zbMath1223.70053OpenAlexW2040241268MaRDI QIDQ642287

Francesco Topputo, Edward A. Belbruno

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/s10569-009-9222-5

zbMATH Keywords

invariant manifoldsrestricted three-body problemstable setsballistic captureweak stability boundaryLyapunov orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

Related Items (11)

Analytic estimates and topological properties of the weak stability boundary ⋮ Geometry of weak stability boundaries ⋮ Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars ⋮ Constructing ballistic capture orbits in the real solar system model. ⋮ Qualitative study of ballistic capture at Mars via Lagrangian descriptors ⋮ Intersecting invariant manifolds in spatial restricted three-body problems: design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario ⋮ Non-Schubart periodic orbits in the rectilinear three-body problem ⋮ Stable and unstable orbits around Mercury ⋮ Observing Mercury by a quasi-propellantless mission ⋮ Connection between Hill stability and weak stability in the elliptic restricted three-body problem ⋮ A flow-informed strategy for ballistic capture orbit generation

Cites Work

• Unnamed Item
• A note on weak stability boundaries
• Earth-Moon weak stability boundaries in the restricted three- and four-body problem
• Basics of regularization theory
• BURRAU'S PROBLEM OF THREE BODIES

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