On Lambert’s problem and the elliptic time of flight equation: A simple semi-analytical inversion method

In the two-body model, time of flight between two positions can be expressed as a single-variable function and a variety of formulations exist. Lambert’s problem can be solved by inverting such a function. In this article, a method which inverts Lagrange’s flight time equation and supports the problematic 180°$180°$ transfer is proposed. This method relies on a Householder algorithm of variable order. However, unlike other iterative methods, it is semi-analytical in the sense that flight time functions are derived analytically to second order vs. first order finite differences. The author investigated the profile of Lagrange’s elliptic flight time equation and its derivatives with a special focus on their significance to the behaviour of the proposed method and the stated goal of guaranteed convergence. Possible numerical deficiencies were identified and dealt with. As a test, 28 scenarios of variable difficulty were designed to cover a wide variety of geometries. The context of this research being the orbit determination of artificial satellites and debris, the scenarios are representative of typical such objects in Low-Earth, Geostationary and Geostationary Transfer Orbits. An analysis of the computational impact of the quality of the initial guess vs. that of the order of the method was also done, providing clues for further research and optimisations (e.g. asteroids, long period comets, multi-revolution cases). The results indicate fast to very fast convergence in all test cases, they validate the numerical safeguards and also give a quantitative assessment of the importance of the initial guess.     

Validation of a Compression Mass Gauge using ground tests for liquid propellant mass measurements

To properly estimate orbital lifetimes and predict the maneuverability of spacecraft, the remaining liquid propellant mass must be accurately known at every moment of a space mission. This paper studies the Compression Mass Gauge (CMG) method to determine the mass of liquid contained in a tank in a low-gravity environment with high accuracy. CMG is a thermodynamic method used to determine the quantity of liquid by measuring the gas pressure change when the tank volume changes, and has been previously theoretically and experimentally studied by researchers. The primary objective of this investigation is to explore the effects of attitude disturbance and the spacecraft thermal environment on the accuracy of the method. A ground test system, consisting of several test apparatuses, was fabricated and described as part of this study. The test results and analyses indicate that the CMG performs well and has an accuracy of ±1%. Additionally, demonstrations were performed to show that measurement errors do not increase drastically or exceed ±1% when the test system is vibrated to simulate the tank being perturbed as a result of an attitude disturbance. Liquid sloshing resonance was found to have a significant effect on the gauging accuracy. Measurements in a real thermal environment in which heat transfers into and out of the propellant tank were also conducted. The results show that the gauging accuracy is acceptable for normal liquid propellant. Furthermore, theoretical research shows that heat leakage has a significant influence on cryogenic propellant mass gauging.     

基于核部分非负矩阵分解的亚像元级地物光谱分析

为了进一步提高亚像元级地物的光谱分析精度,提出了一种基于核部分非负矩阵分解(Kernel Protection Non-negative Matrix Factorization,KPNMF)的非线性解混算法.首先通过基于凸面几何理论的端元提取方法提取纯像元端元候选像素集合,然后根据候选像素的空间纯度指数判断纯像元端元.在纯像元端元信息已知的条件下,利用核方法对部分非负矩阵分解(Protection Non-negative Matrix Factorization,PNMF)进行推广,构造相应的目标函数,推导迭代求解过程,分解求得亚像元端元光谱和所有端元的丰度.试验结果表明,提出的解混算法具有良好的非线性分解能力,解混结果优于线性解混算法.     

无反作用力矩空间机器人轨迹跟踪控制

针对目前关节驱动方式的不足,提出一种采用无反作用力矩驱动方式的空间机器人设计概念。系统平台与各节机械臂上均安装一组金字塔构型的控制力矩陀螺（CMGs）作为力矩执行机构,各臂间由自由球铰连接。采用Rodriguez参数描述平台姿态和机械臂角位移,利用Kane方程建立系统动力学模型。在此基础上,设计了渐近稳定的轨迹跟踪控制律,使得平台姿态和机械臂角位移跟踪期望运动轨迹;并设计了CMGs操纵律,使之准确输出期望控制力矩。此外,研究了机械臂工作空间到关节空间的轨迹规划算法,使得所设计的控制律也可应用于工作空间的轨迹跟踪控制。由三关节系统的仿真结果,验证了无反作用力矩设计概念的可行性和轨迹规划算法的有效性。     

适用于月面高温环境的嫦娥三号地形地貌相机热设计

“嫦娥三号暠月面探测器上安装的地形地貌相机工作时直接暴露在月面高温环境下,受月表红外辐射影响很大,给热控设计带来很大难题。为解决设备工作时的高温问题,在外热流分析的基础上提出了以“最佳散热位置暠为核心的热控方案,设备处于“最佳散热位置暠时能够获得较好的初始温度和最快的降温速率;另外通过把散热面布置在月表红外辐射热流最小的位置并在除散热面以外的其他表面包覆多层隔热组件这两个措施,可以最大程度减小月表红外辐射的影响。地形地貌相机在轨开机工作前的各飞行阶段遥测数据均满足存储温度指标要求并且有较大余量;开机工作环拍一周的遥测数据满足工作温度指标要求并且与热分析结果符合较好,初始温度与遥测温度数据偏差为-1灡7曟,温升速率和降温速率偏差分别为14灡9%和16灡9%。这表明该热控方案正确可行,可为后续中国深空探测类似热控问题参考。     

基于HLA的航天飞行任务联合仿真系统设计

简要说明了HLA的基本特点,描述了一个已经实现的航天测控仿真系统,并将其结构思想与HLA进行了对照。在此基础上,提出了一个依据HLA标准,对航天员座舱仿真、火箭和飞船仿真、测控网仿真等进行集成的航天飞行任务联合仿真系统框架,分析了各个仿真联邦成员的功能需求和信息接口,并着重介绍了针对任务要求的时间管理、数据通信等关键RTI机制的设计和实现方法,以及参照FEDEP模型和借助商业成品软件工具的系统开发策略。     

基于小波变换的单脉冲雷达目标RCS测量方法研究

随着现代信号处理技术的发展,对非平稳信号分析和处理的小波分析技术已成功应用于雷达目标特性分析领域,大功率单脉冲雷达作为我国航天测控网的主干设备,具有一定的目标特性识别能力。本文主要针对脉冲雷达RCS测量原理,讨论了基于小波变换的单脉冲雷达空间目标RCS测量方法,提出应发挥窄带低分辨率雷达在未来空间目标识别中的作用。     

微牛级射频离子推力器结构优化研究

为了满足中国科学院空间引力波探测——“空间太极计划”对航天器推进系统提出的微牛量级推力高精度控制需求,基于感性耦合等离子体自持放电,设计了一套微牛级射频离子推力器（μRIT-1）。通过理论分析与实验验证,完成了μRIT-1关键结构组件优化工作,包括射频天线、放电室及离子光学系统。根据实验结果,μRIT-1采用7匝线直径为1.6mm的紫铜管作为射频天线,匝间距为2.0mm;放电室材料为氧化铝陶瓷,内径为1.0cm,长径比为1.5;离子光学系统采用双栅极结构,材料为金属钼,栅极透明度为18.05%。经过结构优化,μRIT-1可以实现5~100μN可调推力输出,比冲可达1275s。     

爆震波与非预混燃料射流相互作用的研究

为研究旋转爆震发动机（Rotating Detonation Engine, RDE）中燃料/氧化剂喷射和掺混对爆震波的影响及非预混环境下的爆震波的快速起爆与稳定传播,本文采用线性模型爆震发动机（Linear Model Detonation Engine,LMDE）来简化实际燃料喷射与爆震波相互作用的物理问题。通过RNG K-?湍流模型结合7步7组分氢气/空气机理的三维非定常反应流模拟方法,探究真实喷射条件下爆震波与混气相互作用、爆震波衰减及自持的特性。结果表明：氢气/空气的掺混均匀度至少要达到0.6才能使爆震波在非预混环境下传播;氢气孔与空气缝的入口压比需要满足爆震波进入燃烧室时,非均匀混气区恰好集中在氢气孔附近,燃料完全释放能量维持爆震波传播。     

基于改进ARA*算法的无人机在线航迹规划

针对无人机三维在线航迹规划对算法速率、航迹最优性的需求,提出了基于改进ARA^*算法的无人机在线航迹规划方法。首先,建立无人机三维航迹规划的数学模型;然后,提出了节点空间约简策略、局部启发项策略以提高算法收敛速率,并针对复杂规划环境提出了启发因子自适应递减策略。仿真结果表明,所提算法能够快速、稳定地生成首条可行航迹,并在剩余时间内不断提高航迹质量,可应用于不同类型的在线规划任务,动态地适应规划时间与航迹最优性的要求。