Stability of interplay motions

DOI10.1007/BF01228465zbMath0359.70018OpenAlexW2312843767MaRDI QIDQ4131753

Publication date: 1977

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01228465

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (26)

Chaos in the one-dimensional gravitational three-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 ⋮ Angular Momentum and Topological Dependence of Kepler’s Third Law in the Broucke-Hadjidemetriou-Hénon Family of Periodic Three-Body Orbits ⋮ On ``generalized Kepler's third law and mass dependence of periods of three-body orbits ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ A guide to hunting periodic three-body orbits with non-vanishing angular momentum ⋮ 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 ⋮ A numerical investigation of the one-dimensional Newtonian three-body problem ⋮ The rectilinear three-body problem ⋮ Periodic solutions with singularities in two dimensions in the \(n\)-body problem ⋮ A simple existence proof of Schubart periodic orbit with arbitrary masses ⋮ Symmetric rectilinear periodic orbits of three bodies ⋮ Numerical explorations of the rectilinear problem of three bodies ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit ⋮ Stability of Broucke's isosceles orbit ⋮ Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test ⋮ The present status of periodic orbits ⋮ Periodic orbits ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem ⋮ Order and chaos in the planar isosceles three-body problem ⋮ A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem

Cites Work

This page was built for publication: Stability of interplay motions