Hanlun Lei (2022)
Maps where eccentric Lidov–Kozai dynamics trigger orbit flips, linking flip regions to polar periodic orbits and resonance width.
Orbit flips are a striking outcome of the eccentric von Zeipel–Lidov–Kozai mechanism, and this work clarifies what phase-space structures actually generate them. Using three complementary viewpoints, it shows flips are associated with libration islands centered near 90° inclination, organized around polar periodic orbits and their invariant manifolds, and equivalently described as resonance driven by a critical-angle libration. It produces consistent boundaries for the flip regions across the full parameter space and interprets their extent as a resonant width, offering a unified and testable picture of when flips should occur.
Phase-space analysis with Poincaré sections, dynamical-systems tools (periodic orbits/invariant manifolds), and perturbation analysis of a critical-angle resonance.
Hamiltonian secular dynamics and the eccentric Lidov–Kozai (von Zeipel–Lidov–Kozai) mechanism, including resonance and phase-space concepts.