Montgomery's Four Questions and the Grade Hierarchy of the N-Body Problem
Mathematics verified. Core theorems are machine-checked in Lean 4.
Prose and presentation may not have been human-reviewed.
Summary
Montgomery (2026) identifies four central open questions for the Newtonian $N$-body problem: (Q1) finiteness of central configurations, (Q2) Lyapunov stability of periodic orbits, (Q3) braid realization at zero angular momentum, and (Q4) density of the scattering map.
Length
11,844 words
Claims
19 theorems
Status
Draft
Target
Celestial Mechanics and Dynamical Astronomy