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<p>This paper investigates the secular motion of a massless asteroid within the framework of the double-averaged elliptic restricted three-body problem. By employing Poincaré variables, the stability properties of asteroid orbits in the presence of spatial perturbations were analysed. The study reveals that all points of the periodic orbits identified in the planar configuration maintain stability in the spatial perturbed problem across a wide range of parameter values. These findings, supported by numerical simulations, contribute to a deeper understanding of asteroid dynamics and have implications for studying exoplanetary systems with highly eccentric host stars.</p>

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Stability Analysis of Spatial Perturbed Elliptic Restricted Three-Body Problem with Double Averaging

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Yan Luo,
  • Kaicheng Sheng

摘要

This paper investigates the secular motion of a massless asteroid within the framework of the double-averaged elliptic restricted three-body problem. By employing Poincaré variables, the stability properties of asteroid orbits in the presence of spatial perturbations were analysed. The study reveals that all points of the periodic orbits identified in the planar configuration maintain stability in the spatial perturbed problem across a wide range of parameter values. These findings, supported by numerical simulations, contribute to a deeper understanding of asteroid dynamics and have implications for studying exoplanetary systems with highly eccentric host stars.