Tame and chaotic behavior in the planar isosceles 3-body problem

DOI10.1007/BF02426676zbMath0746.70006MaRDI QIDQ1186281

Florin Nicolae Diacu

Publication date: 28 June 1992

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

zbMATH Keywords

symbolic dynamicscollision\(C^ 1\)-regularized solutionschaotic characterisosceles solutionsyzygy configuration

Mathematics Subject Classification ID

Three-body problems (70F07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (1)

The planar isosceles problem for Maneff’s gravitational law

Cites Work

• Triple collision in the planar isosceles three body problem
• On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem
• Triple collision in the collinear three-body problem
• On the final evolution of the n-body problem
• On the planar syzygy solutions of the 3-body problem
• Stable and Random Motions in Dynamical Systems
• Heteroclinic Phenomena in the Isosceles Three-Body Problem
• Triple collisions in the isosceles 3-body problem
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