Hiroshi Kinoshita & Hiroshi Nakai (2007)
Provides a general analytical solution of Kozai–Lidov dynamics, clarifying eccentricity–inclination exchange and libration regimes.
The work presents a general solution of the Kozai (Kozai–Lidov) mechanism, a key secular resonance that drives coupled oscillations of eccentricity and inclination with characteristic argument-of-pericenter libration. By giving a unified analytical description of the motion, it helps map when LK cycles occur and how their phase-space structure is organized. This is useful for interpreting long-term orbital evolution in hierarchical three-body settings, from satellites to asteroids and exoplanet systems.
Analytical secular dynamics treatment yielding a general solution for the Kozai–Lidov resonance equations.
Celestial mechanics of hierarchical three-body systems, secular perturbation theory, and resonant phase-space concepts.