Hanlun Lei et al. (2022)
Semi-analytic model unifies Lidov–Kozai dynamics inside MMRs via a separatrix-safe adiabatic invariant, validated on TNOs.
Secular Lidov–Kozai cycles occurring inside mean motion resonances are a key mechanism shaping trans-Neptunian orbits, but they are hard to describe globally because resonance separatrices complicate adiabatic theory. The authors build a semi-secular averaged model and reduce it to an integrable one-degree-of-freedom description using adiabatic invariance, introducing a modified invariant that stays continuous across MMR separatrices. This enables global phase portraits that predict long-term evolution of eccentricity, inclination, and argument of pericenter for resonant TNOs. Comparisons with full N-body integrations for several objects (including Pluto and multiple resonant TNOs) show good agreement and highlight resonance-driven “switching” behavior for 2018 VO137 and 2005 SD278 in Neptune’s 2:5 MMR.
Averaging-based semi-secular Hamiltonian modeling combined with an adiabatic-invariance reduction to an integrable 1-DOF framework, benchmarked against N-body integrations.
Celestial mechanics of mean motion resonances and Lidov–Kozai secular dynamics, including basic Hamiltonian/averaging methods.