空域安全评估中的碰撞风险模型分析

碰撞风险研究是空域安全评估的关键内容。随着空中交通管理设备和技术的发展,碰撞风险的研究也深入展开。本文总结了国内外学者对碰撞风险模型的研究及应用,介绍了几种常用的碰撞风险模型或方法,包括概率论理论方法、Reich模型、EVENT模型、随机分析模型、交叉航路模型和模糊数学综合评价法,分析了各自优缺点,并对上述模型进行简要对比,为我国空域安全评估提供参考。     

考虑相互碰撞影响的月壤颗粒运动轨迹计算方法研究

针对登月着陆器下降过程扬起月壤颗粒的运动轨迹及空间分布问题, 提出了考虑月壤颗粒发生完全弹性碰撞和非完全弹性碰撞两种情况的月壤颗粒运动轨迹计算方法. 根据质量守恒和能量守恒定律确定月壤颗粒相互碰撞后的速度, 通过羽流场与月壤颗粒的流固耦合相互迭代计算方法, 获得被扬起的月壤颗粒在羽流场和相互碰撞共同作用下随时间的运动轨迹和空间分布. 基于美国Apollo 11登月过程实测数据, 采用数值模拟对该方法进行验证. 结果表明, 考虑月壤颗粒相互碰撞的影响后, 其运动规律出现较明显的扩散趋势. 进一步考虑月壤颗粒相互碰撞引起能量损失的影响后, 月壤颗粒的扩散趋势有所减弱, 并且扬起的高度随着恢复系数的减小而降低.      

基于显式表达式的空间目标最大碰撞概率分析

最大碰撞概率的计算在空间目标碰撞风险评估中具有重要意义。基于碰撞概率的显式 表达式,利用一元函数和二元函数求极值的方法分别讨论了目标误差椭球形状固定和不定两 种情况下最大碰撞概率的计算方法,得到了两种情况下最大碰撞概率的表达式。对于误差椭 球形状固定的情况得到了碰撞概率最大时两目标位置协方差的取值,对于误差椭球不定情况 得到了碰撞概率最大时径向联合方差的取值和水平面内联合方差所满足的关系。分析了最大 碰撞概率的影响因素,讨论了水平面内误差方差的耦合特性。对今年二月发生的美俄卫星碰 撞事件进行了分析,得到误差椭球任意形状时最大碰撞概率为1.864E-3。
     

模型发动机内凝相颗粒碰撞的数值模拟

针对燃烧室内的高温液态凝相粒子,利用所建立的数学模型对聚集状态下粒子间的碰撞与聚合及其与发动机壳体之间的相互作用过程开展了数值分析,获得了收敛管内壁面上液膜厚度及从出口处逃逸的粒子直径分布,并和实验数据进行了比较分析。结果表明在发动机两相内流场计算中,将凝相粒子看成无蒸发的液滴更为合适;聚集状态下凝相粒子间的碰撞与聚合对粒子直径的分布有很大的影响;粒子和壁面之间的相互碰撞不但会导致大量小尺寸粒子的生成,而且也是收敛管内壁面上金属膜形成的直接原因。     

非均匀磁化等离子体层的电磁特性分析

基于分层传播原理提出了一种计算电磁波在非均匀磁化等离子体层中反射率和吸收率的模型,并数值分析了等离子体密度与碰撞频率,以及背景磁场强度对电磁波的反射和吸收特性的影响.研究表明:该法所得结果与文献的传播矩阵(SMM)法一致.数值分析发现:低密度高碰撞频率等离子体可减少等离子体层对入射波的功率反射;高密度高碰撞频率等离子体可改善其对入射波的功率反射宽频带吸收特性;背景磁场强度可明显改变等离子共振吸收频段.     

空间碎片环境与碰撞预警仿真系统设计

在轨编目航天器数目已超过了9000,为了保证航天任务的顺利完成,必须对可能威胁到任务轨道的空间目标进行分析,文章首先对两行轨道根数和SGP4／SDP4轨道预报模型进行了分析,在此基础上建立了空间目标数据库及空间碎片环境与碰撞预警仿真和数据可视化系统。     

空间交会轨迹安全性定量评价指标研究

针对当前交会轨迹安全分析缺乏有效的定量评价方法,研究提出了两种考虑实际交会过程导航偏差和控制偏差的安全性定量评价指标,分别是交会过程中任意时刻失效后追踪器的位置误差分布3σ椭球与目标器控制区域的最小距离和两个飞行器的最大瞬时碰撞概率。研究了这两个指标的快速简化计算方法;并基于协方差分析描述函数法(CADET),建立了非线性交会下考虑导航偏差和控制偏差的相对状态及其协方差矩阵的传播模型。通过两个仿真算例验证了两个指标的合理性、快速性和准确性,并且可适应于在线轨迹安全性分析和一般情况下的线性和非线性交会安全轨迹设计。
     

Long term and safe relative orbit design for heterogeneous spacecraft clusters

The problem of obtaining long term relative orbit configurations for spacecraft clusters with realistic operational considerations such as safety, station keeping and inter-spacecraft distances is addressed. Two different approaches are developed for station keeping and safety objectives. In the first approach, relative orbit configurations, or relative TLEs, are found minimizing deviations from reference mean orbit which would maximize the station-keeping objective. In second one, relative configurations are found from a reference initial condition by minimizing probability of collision, hence maximizing the safety objective, between the spacecraft in the cluster which are propagated numerically through a high precision orbit propagator. For the design optimization, a derivative free algorithm is proposed. Effectiveness of the approaches is demonstrated through simulations. Using this design framework, several configurations can be found by exploring the limits of the clusters in terms of spacecraft number, distance bounds and probabilities of collision for long time intervals.     

Collision free 4D path planning for multiple UAVs based on spatial refined voting mechanism and PSO approach

In this paper, a four-dimensional coordinated path planning algorithm for multiple UAVs is proposed, in which time variable is taken into account for each UAV as well as collision free and obstacle avoidance. A Spatial Refined Voting Mechanism(SRVM) is designed for standard Particle Swarm Optimization(PSO) to overcome the defects of local optimal and slow convergence.For each generation candidate particle positions are recorded and an adaptive cube is formed with own adaptive side length to indicate occupied regions. Then space voting begins and is sorted based on voting results, whose centers with bigger voting counts are seen as sub-optimal positions. The average of all particles of corresponding dimensions are calculated as the refined solutions. A time coordination method is developed by generating specified candidate paths for every UAV, making them arrive the same destination with the same time consumption. A spatial-temporal collision avoidance technique is introduced to make collision free. Distance to destination is constructed to improve the searching accuracy and velocity of particles. In addition, the objective function is redesigned by considering the obstacle and threat avoidance, Estimated Time of Arrival(ETA), separation maintenance and UAV self-constraints. Experimental results prove the effectiveness and efficiency of the algorithm.     

Group force mobility model and its obstacle avoidance capability

Many mobility models attempt to provide realistic simulation to many real world scenarios. However, existing mobility models, such as RPGM [X. Hong, M. Gerla, G. Pei, C. Chiang, A group mobility model for ad hoc wireless networks, in: Proceedings of ACM/IEEE MSWiM’99, Seattle, WA, August 1999, pp. 53–60] and others, fail to address many aspects. These limitations range from mobile node (MN) collision avoidance, obstacle avoidance, and the interaction of MNs within a group. Our research, the group force mobility model (GFMM) [S.A. Williams, D. Huang, A group force mobility model, Appeared at 9th Communications and Networking Simulation Symposium, April 2006], proposes a novel idea which introduces the concept of attraction and repulsion forces to address many of these limitations. Williams and Huang [A group force mobility model, Appeared at 9th Communications and Networking Simulation Symposium, April 2006] described some of the limitations and drawbacks that many models neglect. This model effectively simulates the interaction of MNs within a group, the interaction of groups to one another, the coherency of a group, and the avoidance of collision with groups, nodes, and obstacles. This paper provides an overview of GFMM and particularly illustrates the GFMM's ability to avoid collision with obstacles, which is a vital property to posses in order to provide a realistic simulaition. We compare our model with the commonly used RPGM model and provide statistical assessments based on connectivity metrics such as link changed, link duration, and relative speed. All will be detailed and explained in this paper.