Long-term stability Analysis of Earth-Moon Distant Retrograde Orbits based on Frequency-Dependent Models

A profound understanding of their long-term stability is essential for robust mission planning and trajectory design. This study investigates the long-term stability characteristics and underlying dynamical mechanisms of DROs within a High-Fidelity Ephemeris Model (HFEM).

Through Fourier analysis, the research reveals resonance-driven instability gaps arising from the coupling between DRO frequencies and external perturbations. It is identified the Earth-Moon distance as the critical factor driving epoch-dependent variations in stable initial state boundaries. Furthermore, the proposed Quasi-Moon orbit Restricted Four-Body Problem (QMR4BP) model effectively balances computational efficiency with predictive precision, supporting the construction of a stable initial state database and an accelerated retrieval workflow.