4 papers
Stable Manifolds and Uniqueness of Parabolic Rays in the Newtonian -Body Problem
Putian Yang, Shiqing Zhang
We study uniqueness for parabolic motions in the Newtonian -body problem with a prescribed minimal normalized central configuration at infinity. A McGehee compactification ident…
Stability of geodesic-ray data, horofunctions, and rectifiability of fixed-shape slices in the Newtonian \(N\)-body problem
Putian Yang, Shiqing Zhang
For the Newtonian \(N\)-body problem at nonnegative energy, we study solution sets selected by the Jacobi--Maupertuis variational principle and by the associated stationary Hamilto…
On Geodesic Rays of Newtonian Gravitational Systems
Putian Yang, Shiqing Zhang
In this paper, we focus on the set of geodesics rays of the Newtonian N-body problem. We find that the limits of geodesic rays are also geodesic rays, hence they are not dense in t…
A N-body problem with weak force potential through Hamilton-Jacobi equation approach
Putian Yang, Shiqing Zhang
This paper we consider for the N-body problem with potential 1/rα (0 < α < 1) the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration…