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math.AP2026
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…
math.AP2022
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…