The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation
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Publication:1610334
DOI10.1023/A:1014599918133zbMath1014.70012MaRDI QIDQ1610334
Publication date: 19 August 2002
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
stabilityperturbationchaotic scatteringPoincaré sectioncollinear motionquasiperiodic orbitsbinary scatteringone-dimensional three-body problemSchubart periodic orbitsymmetrical one-dimensional four-body problem
Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10)
Related Items (16)
Analytical stability in the Caledonian symmetric five-body problem ⋮ Symmetric Four-Body Problems ⋮ Periodic solutions with alternating singularities in the collinear four-body problem ⋮ Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Families of double symmetric ``Schubart-like periodic orbits ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Ejection-collision orbits in the symmetric collinear four-body problem ⋮ Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem ⋮ Existence of the Broucke periodic orbit and its linear stability ⋮ Periodic solutions with singularities in two dimensions in the \(n\)-body problem ⋮ A global regularisation for integrating the Caledonian symmetric four-body problem ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit ⋮ Stability of Broucke's isosceles orbit ⋮ A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem
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