Rapid Determination Method for Orbital Motion Stability of Earth-co-orbital Asteroids

Earth co-orbital asteroids，containing crucial information about solar system evolution，constitute significant targets for deep-space exploration. Traditional stability assessments for these objects rely on long-term numerical integration methods，which lack efficiency for large-scale sample analysis. A quantitative stability evaluation framework is developed using the mean exponential growth factor of nearby orbits （MEGNO）under the circular restricted three-body problem （CRTBP）formulation. Orbital characteristics of various co-orbital configurations are systematically compared through MEGNO index analysis，revealing distinct chaotic evolution patterns. Comprehensive phase space scanning of toroidal orbital manifolds visualizes stability transition processes，while a parameterized database combined with regression forecast model enables rapid stability classification and co-orbital duration prediction. Validation against ephemeris-based simulations confirms the method’s reliability. This study significantly contributes to understanding the stability distribution of Earth co-orbital asteroids，providing crucial technical and theoretical support for future exploration efforts.