With the development of aircraft flow under the existing airspace capacity now, the shortage of airspace resources and flight delays have become significantly severe. Therefore, building a safe and efficient mathematical model from quantitative analysis and improving the scientificity of route planning and management are essential propositions for future research on new navigation systems. Based on the traditional event collision risk assessment model, the collision module is upgraded to an ellipsoid according to the performance of aircraft, integrating the boundary curvature optimization characteristics of the TSRRT (task-space rapidly-exploring random trees) algorithm. An aircraft event lateral conflict resolution model based on the TSRRT algorithm is proposed. Taking the A320 aircraft and 737-800 aircraft as experimental subjects, the corresponding collision coefficients are imported into software tools for the simulation and the Kalman filtering is combined to verify the smoothness of the front and rear boundary curvatures. The result proves that the event side collision risk of aircraft based on TSRRT is 15% of the traditional event model and the smooth curvature error is reduced by 80% due to the improvement. Therefore, the improved event model is practical and valuable, providing a theoretical basis for future track-based operations.

中文翻译：

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基于侧滑事件模型的飞机横向碰撞风险优化

在现有空域容量下，随着飞机流量的发展，空域资源紧缺和航班延误情况明显严重。因此，从定量分析的角度构建安全高效的数学模型，提高路径规划与管理的科学性，是未来新型导航系统研究的重要命题。在传统事件碰撞风险评估模型的基础上，碰撞模块根据飞行器性能升级为椭球体，融合了TSRRT（任务空间快速探索随机树）算法的边界曲率优化特性。提出了一种基于TSRRT算法的飞机事件横向冲突解决模型。以A320飞机和737-800飞机为实验对象，将相应的碰撞系数导入软件工具进行仿真，结合卡尔曼滤波验证前后边界曲率的平滑度。结果证明，基于TSRRT的飞行器事件侧碰撞风险为传统事件模型的15%，平滑曲率误差因改进而降低80%。因此，改进后的事件模型具有实用性和价值，为未来的航迹作战提供了理论依据。结果证明，基于TSRRT的飞行器事件侧碰撞风险为传统事件模型的15%，平滑曲率误差因改进而降低80%。因此，改进后的事件模型具有实用性和价值，为未来的航迹作战提供了理论依据。结果证明，基于TSRRT的飞行器事件侧碰撞风险为传统事件模型的15%，平滑曲率误差因改进而降低80%。因此，改进后的事件模型具有实用性和价值，为未来的航迹作战提供了理论依据。