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高密度航天发射期间亚轨道碎片危险区快速预测与改航路径规划方法
引用本文:陈万通,田书雨.高密度航天发射期间亚轨道碎片危险区快速预测与改航路径规划方法[J].交通运输工程学报,2022,22(2):268-276.
作者姓名:陈万通  田书雨
作者单位:1.中国民航大学 电子信息与自动化学院,天津 3003002.中国民航大学 民航航班广域监视与安全管控技术重点实验室,天津 300300
基金项目:国家重点研发计划2020YFB1600101国家自然科学基金项目U1833112天津市教委科研计划项目2020KJ011天津市自然科学基金项目19JCQNJC00800
摘    要:面对愈发频繁的商业亚轨道发射活动中可能出现的航空器潜在解体风险,利用协方差传播方法预测亚轨道解体事故中碎片的传播范围;将碎片运动方程转换为高斯马尔可夫过程,利用概率密度函数构造高斯马尔可夫过程在一定置信度下的概率椭球表征碎片分布;为避免亚轨道解体事故碎片对民航空域内的飞机造成碰撞风险,提出一种面向空管的亚轨道碎片危险区预测与路径规划方法;根据民航可接受的风险概率确定亚轨道碎片概率椭球的数学边界,计算概率椭球在水平方向的投影,利用几何方法将碎片危险区处理成凸多边形;通过改航点数量约束方法减少改航路径中改航点的数量,有利于飞机平稳改航。仿真结果表明:协方差传播方法在复杂大气环境中能够快速有效地预测出亚轨道解体事故碎片的传播过程,分别显示出置信度为99.999%和95.000%的椭球边界范围,置信度越高,概率椭球边界范围越大,越接近真实碎片下落传播范围;利用改航点数量约束方法优化后的改航路径距离相比约束前增加了0.13%,但改航点数量减少了50%。可见,利用协方差传播方法可及时、准确预测亚轨道解体事故碎片的传播范围,并在此基础上提出高效、安全的改航策略。 

关 键 词:飞行安全    亚轨道解体事故    协方差传播方法    危险区预测    几何方法    改航路径规划
收稿时间:2021-10-21

Rapid prediction and rerouting planning method of suborbital debris hazard zones during high-density space launches
CHEN Wan-tong,TIAN Shu-yu.Rapid prediction and rerouting planning method of suborbital debris hazard zones during high-density space launches[J].Journal of Traffic and Transportation Engineering,2022,22(2):268-276.
Authors:CHEN Wan-tong  TIAN Shu-yu
Affiliation:1.School of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China2.Key Laboratory of Civil Aviation Flight Wide Area Surveillance and Safety Control Technology, Civil Aviation University of China, Tianjin 300300, China
Abstract:Considering the potential risk of aircraft disintegration that may occur in the increasingly frequent commercial suborbital launch activities, a covariance propagation method was used to predict the propagation range of debris from the suborbital disintegration accidents. The method converted the debris motion equation into a Gaussian-Markov process and used the probability density function to construct a probability ellipsoid of the Gaussian-Markov process at a certain confidence level for the characterization of debris distribution. To avoid the collision risk between debris from suborbital disintegration accidents and aircrafts within the civil airspace, a hazard zone prediction and routing planning method of suborbital debris for air traffic control was proposed. The mathematical boundary of the probability ellipsoid of suborbital debris was determined according to the acceptable risk probability of civil aviation, and the projection of the probability ellipsoid in the horizontal direction was calculated. The hazard zone of debris was processed into a convex polygon by a geometric method. The number of diversion points in the diversion path was reduced by the constrained method, which was conducive to the smooth diversion of aircraft. Simulation results reveal that the covariance propagation method can rapidly and effectively predict the propagation process of debris from suborbital disintegration accidents in a complex atmospheric environment, showing the ellipsoid boundary range of 99.999% and 95.000%, respectively. The higher the confidence degree, the larger the boundary range of the probability ellipsoid, and the closer it is to the real debris falling propagation range. By using the constrained method of number of diversion points, the optimized rerouting path distance increases by 0.13% compared with that before the constraint, but the number of diversion points reduces by 50%. Therefore, the covariance propagation method can timely and accurately predict the propagation range of debris from suborbital disintegration accidents, and on this basis, efficient and safe redirecting strategies can be presented. 1 tab, 7 figs, 30 refs. 
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