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考虑轨道偏转约束的小行星动能撞击与近距离探测轨迹优化

Trajectory Optimization for Asteroid Kinetic Impact and Proximity Observation under Orbital Deflection Constraints

  • 摘要: 针对具有潜在撞击地球风险的小行星轨道确定精度不足、物理参数不明确以及动能撞击后轨道偏转效果难以准确刻画等问题,以近地小行星 2024 YR4 为研究对象,开展了轨道偏转机理建模及动能撞击与近距离探测任务的转移轨迹优化研究。首先,构建了高精度轨道递推模型,评估了 2024 YR4 撞击地球与月球的概率。其次,系统研究了动能撞击后的轨道偏转规律,分析了速度改变量幅值的主要影响因素,推导了速度改变量方向与日-星-器夹角之间的几何关系,并基于高精度递推结果建立了轨道偏转距离与平近点角及速度改变量之间的函数关系,给出了满足有效偏转距离和日-星-器夹角约束的撞击窗口范围,并据此开展了动能撞击任务轨迹优化。最后,针对伴飞探测与飞越探测任务,采用逐年遍历的方法对发射窗口与交会窗口进行搜索,优化得到了在多种借力方案及飞越次数条件下的可行转移轨迹。本文提出的建模与分析方法为小行星轨道偏转机理研究提供了新的思路,所构建的轨迹优化流程可为未来小行星探测与防御任务设计提供参考。

     

    Abstract: To address the challenges associated with limited orbit determination accuracy, insufficient knowledge of physical parameters, and the difficulty of accurately characterizing post-impact orbital deflection for potentially Earth-impacting asteroids, near-Earth asteroid 2024 YR4 is selected as the target object to investigate orbital deflection mechanism modeling and transfer trajectory optimization for kinetic impact and close-proximity observation missions. First, a high-precision orbital propagation model is established to evaluate the impact probabilities of 2024 YR4 on the Earth and the Moon. Second, the orbital deflection behavior induced by kinetic impact is systematically investigated. The primary factors affecting the magnitude of the velocity increment are analyzed, the geometric relationship between the velocity increment direction and the Sun–asteroid–spacecraft angle is derived, and a functional relationship between the orbital deflection distance, the mean anomaly, and the velocity increment is constructed based on high-precision propagation results. On this basis, impact windows satisfying both effective deflection distance and Sun–asteroid–spacecraft angle constraints are identified, and the corresponding trajectory optimization for kinetic impact missions is carried out. Finally, for rendezvous and flyby observation missions, a year-by-year search of launch and encounter windows is performed, and feasible transfer trajectories under multiple gravity-assist schemes and flyby sequences are obtained. The modeling and analysis methods presented in this study provide a reference for the investigation of asteroid orbital deflection mechanisms, while the proposed trajectory optimization framework offers guidance for the design of future asteroid exploration and planetary defense missions.

     

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