Motions close to escapes in the rhomboidal four body problem

DOI10.1007/BF00695713zbMath0783.70007OpenAlexW2094474179MaRDI QIDQ1311448

Ernesto A. Lacomba, Ernesto Pérez-Chavela

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf00695713

zbMATH Keywords

invariant manifoldssymbolic dynamicscaptureparabolic orbitstotal collision manifoldconstant negative energyreversible flow

Mathematics Subject Classification ID

(n)-body problems (70F10) Low-dimensional dynamical systems (37E99)

Related Items

Total collision in a four-body problem with Jacobi potential ⋮ The rhomboidal 4-body problem revisited ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ New families of periodic orbits in the 4-body problem emanating from a kite configuration ⋮ Superhyberbolic expansion, noncollision singularities and symmetry configurations

Cites Work

• Triple collision in the collinear three-body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Stable and Random Motions in Dynamical Systems
• Qualitative study of the planar isosceles three-body problem