Isolating blocks near the collinear relative equilibria of the three-body problem

DOI10.1090/S0002-9947-04-03418-XzbMath1079.70010MaRDI QIDQ4813854

Richard Moeckel

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

energiesangular momentahyperbolic invariant spheres

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (5)

Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem ⋮ Isolating blocks as computational tools in the circular restricted three-body problem ⋮ Global diffusion on a tight three-sphere ⋮ Sturm's algorithm and isolating blocks ⋮ Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument

Cites Work

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• The \(n\)-body problem and mutual distances
• Sturm's algorithm and isolating blocks
• On the existence of invariant sets inside a submanifold convex to a flow
• Dynamics and Mission Design Near Libration Points
• Low Energy Transit Orbits in the Restricted Three-Body Problems
• Isolated Invariant Sets and Isolating Blocks

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