Action minimizing orbits in then-body problem with simple choreography constraint
From MaRDI portal
Publication:4652937
DOI10.1088/0951-7715/17/6/002zbMath1161.70331arXivmath/0307088OpenAlexW3102234966MaRDI QIDQ4652937
Susanna Terracini, Vivina Barutello
Publication date: 28 February 2005
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0307088
Related Items (31)
Splendid isolation: local uniqueness of the centered co-circular relative equilibria in the \(N\)-body problem ⋮ Transitive decomposition of symmetry groups for the \(n\)-body problem ⋮ On the variational approach to the periodic \(n\)-body problem ⋮ Double choreographical solutions for \(n\)-body type problems ⋮ Continuous choreographies as limiting solutions of \(N\)-body type problems with weak interaction ⋮ New periodic solutions for planar five-body and seven-body problems ⋮ Symmetric trajectories for the \(2N\)-body problem with equal masses ⋮ Rose solutions with three petals for planar 4-body problems ⋮ A mountain pass algorithm with projector ⋮ New periodic solutions for some planar \(N + 3\)-body problems with Newtonian potentials ⋮ New periodic solutions for planar \((N+2)\)-body problems ⋮ Unchained polygons and the \(N\) -body problem ⋮ Morse index properties of colliding solutions to the \(N\)-body problem ⋮ Torus knot choreographies in the n-body problem ⋮ CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Saari's Conjecture for Elliptical Motions and Minimizing Solutions of the N-body Problem ⋮ Simple choreographies of the planar Newtonian \(N\)-body problem ⋮ Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem ⋮ Spatial double choreographies of the Newtonian \(2n\)-body problem ⋮ Action-minimizing solutions of the one-dimensional \(N\)-body problem ⋮ A new branch of mountain pass solutions for the choreographical 3-body problem ⋮ From the Lagrange polygon to the figure eight. I: Numerical evidence extending a conjecture of Marchal ⋮ Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory ⋮ Symmetry groups of the planar three-body problem and action-minimizing trajectories ⋮ Variational proof of the existence of the super-eight orbit in the four-body problem ⋮ Action minimizing orbits in the 2+2- and 3+2-body problems with 2 fixed centers ⋮ Globally minimizing parabolic motions in the Newtonian \(N\)-body problem ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
This page was built for publication: Action minimizing orbits in then-body problem with simple choreography constraint
