Symbolic dynamics in the symmetric collinear four-body problem

DOI10.1007/BF02968131zbMath1089.70006OpenAlexW1999868962MaRDI QIDQ2369462

Ernesto A. Lacomba, Mario Medina

Publication date: 19 May 2006

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02968131

zbMATH Keywords

total collision manifoldhyperbolic equilibrium pointshomothetic orbit

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (3)

Ejection-collision orbits in the symmetric collinear four-body problem ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ Some qualitative features of the isosceles trapezoidal four-body problem

Cites Work

• Triple collision in the collinear three-body problem
• Blow up of the isosceles 3-body problem with an infinitesimal mass
• Analysis of some degenerate quadruple collisions
• Order and chaos in the planar isosceles three-body problem

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