A family of periodic solutions of the planar three-body problem, and their stability

Related Items

A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem ⋮ Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom ⋮ Schubart solutions in the charged collinear three-body problem ⋮ Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ Stability of axial orbits in analytical galactic potentials ⋮ Linear stability of the criss-cross orbit in the equal-mass three-body problem ⋮ New periodic orbits in the planar equal-mass three-body problem ⋮ Periodic solutions with alternating singularities in the collinear four-body problem ⋮ Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ 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 ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Low-energy transfers to cislunar periodic orbits visiting triangular libration points ⋮ A guide to hunting periodic three-body orbits with non-vanishing angular momentum ⋮ Families of periodic orbits in a double-barred galaxy model ⋮ Existence of the Broucke periodic orbit and its linear stability ⋮ A numerical investigation of the one-dimensional Newtonian three-body problem ⋮ Linear stability of double-double orbits in the parallelogram four-body problem ⋮ The rectilinear three-body problem ⋮ Symmetric rectilinear periodic orbits of three bodies ⋮ A relation in families of periodic solutions ⋮ Stability of interplay motions ⋮ Linear stability analysis of the figure-eight orbit in the three-body problem ⋮ 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 ⋮ Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test ⋮ Symmetry groups of the planar three-body problem and action-minimizing trajectories ⋮ Dynamics of planets in retrograde mean motion resonance ⋮ The present status of periodic orbits ⋮ Properties of linearized mappings associated with periodic orbits in the three-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ On action-minimizing retrograde and prograde orbits of the three-body problem ⋮ Periodic orbits ⋮ Order and chaos in the planar isosceles three-body problem

Cites Work

This page was built for publication: A family of periodic solutions of the planar three-body problem, and their stability