A Geosynchronous Orbit Search Strategy

Since more than 10 years there is evidence that small-size space debris is accumulating in the geosynchronous orbit (GEO), probably as the result of breakups. Two break-ups have been reported in GEO. The 1978 break-up of an EKRAN 2 satellite, SSN 10365, was identified in 1992, and in 1992 a Titan 3C Transtage, SSN 3432, break-up produced at least twenty observable pieces. Subsequently several nations performed optical surveys of the GEO region in the form of independent observation campaigns. Such surveys suffer from the fact that the field of view of optical telescopes is small compared with the total area covered by the GEO ring. As a consequence only a small volume of the orbital element-magnitude-space is covered by each individual survey. Results from these surveys are thus affected by observational biases and therefore difficult to compare. This paper describes the development of a common search strategy to overcome these limitations. The strategy optimizes the sampling for objects in orbits similar to the orbits of the known GEO population but does not exclude the detection of objects with other orbital planes. A properly designed common search strategy clearly eases the comparison of results from different groups and the extrapolation from the sparse (biased) samples to the entire GEO environment.     

Tether Satellite System Collision Study

A study was performed to determine the probability of collision with resident space objects and untrackable debris for the tether component of the Tethered Satellite System (TSS) after it broke away from the Space Shuttle orbiter (mission STS-75) in February 1996. Both an analytical and a numerical approach were used in this study, and the results obtained with these two methods were found to be in good agreement. These results show that the deployed tether is expected to have been impacted by several particles 0.1mm or larger in size. The probability of collision with objects 10cm in size or larger was on the order of 10^–3 per month. Since the severed tether reentered within one month after deployment, the collision hazard to other objects while in orbit was small. The analytical methods used in this study are useful for tether collision evaluations in general.     

Delta并联微操作手运动学的矢量法分析

利用矢量运算的方法,分析了三维平动Delta并联微操作手的运动学特性.基于雅可比矩阵的可逆性,研究了Delta并联机构的正逆运动奇异性问题. 研究表明,微操作手的雅可比矩阵中存在灵敏参数,灵敏参数的大小及方位影响着位移输入与输出间的关系;利用矢量运算方法进行运动学奇异性问题分析更为简洁和直接.     

奇异摄动法在考虑执行机构系统设计中的应用

针对被控对象的执行机构对控制系统的影响，采用三重时间尺度的奇异摄动方法来展示闭环跟踪系统的渐近结构特性，从而极大地方便了解耦控制律的设计和控制矩阵的确定。并以考虑执行机构及旋翼动态的某型直升机为例，进行了多重模型／解耦控制律设计和仿真。     

A Nonlinear Sub-grid Scale Model for Compressible Turbulent Flow

本文采用直接过滤的Navier-Stokes方程组作为可压缩湍流大涡模拟控制方程组。方程组中因过滤产生的高阶相关项用Taylor级数展开近似,但仅保留级数的一阶导数项。这样产生的误差相当于丢失了模型的部分耗散作用,本文用一种动力学非线性亚格子模型来补偿丢失的耗散影响。本文根据Caylay-Hamilton定理导出了一个非线性亚格子模型,模型中包含的系数由动力学模式确定。与传统的动力学Smagorinsky模式相比,这种动力学非线性模型(DNM)稳定性更好,且不需要在统计均匀方向进行统计平均来计算模型系数,因此减少了计算开销。本文用这种非线性亚格子模型对绕双椭球高超声速湍流进行了模拟,并将所得结果与实验值、计算值及理论值进行了对比。结果表明,本文模型可以有效地模拟可压缩湍流流场。     

建立航空发动机状态空间模型的修正方法

以阶跃输入响应进行模型的检验，提出了状态空间模型的修正方法：基于动态响应较好的状态空间模型，进行其矩阵B，D，F，G的修正，获得基于稳态修正的模型，解决了航空发动机状态空间模型检验与修正的问题。仿真表明，使用该方法修正的状态空间模型具有与原非线性数学模型完全一致的稳态响应和基本一致的动态过程响应。这种方法为航空发动机多变量数字电子控制器的设计奠定了强有力的基础。     

非线性主轴降维映射法在固体火箭发动机设计优化中的应用

为在二维或三维空间中表达固体火箭发动机高维设计空间,引入非线性主轴降维映射法对多维非线性设计优化问题进行降维处理。以某大型固体火箭发动机设计问题为例,将10变量4有效约束优化问题降维映射到二维空间进行研究,拟合的非线性主轴降维映射模型中,目标函数和约束函数的相对误差控制在1.5%以内。研究表明,非线性主轴降维映射法具有发现多变量非线性优化数学模型本征特性的特点,能对设计变量重要性排序;通过降维展示设计空间全景,为优化算法和优化初始点优选提供了直观、有力的工具;优化轨迹实时展示为优化算法性质研究及算法切换提供了依据;根据优化轨迹从优化结果在降维空间中的位置能够判断优化结果是否具有全局最优解特性。     

液体推进系统充填过程的有限元状态变量模型

研究了常温推进剂液体火箭发动机充填过程的建模问题。对推进剂充填管道系统进行有限元分割，应用基本守恒定律于充满推进剂的单元和充满气体的单元，两相单元则采用等效流容方程，建立了常温推进剂管道系统充填过程的有限元状态变量模型。模型面向液体推进系统动态过程控制与通用仿真。利用该模型，对一管道充填过程进行了仿真计算，给出了有关计算结果。     

一种基于模式搜索的大尺寸测量移站坐标转换方法

针对空间大尺寸测量的移站坐标转换，提出了最小二乘坐标转换数学模型和基于模式搜索的参数求解方法，实验证明该方法具有理论正确性和实际可行性。     

Phase Space Density Analysis of Energy Transport in the Earth’s Magnetotail

Two energetic events in the Earth’s magnetotail detected by Geotail are examined with detailed analysis of three-dimensional velocity phase space density. It is found that the occurrence of multiple ion components is high during these dynamic episodes. Different populations evolve independently of each other, suggesting particles from multiple activity sites contributing to the observed phase space density. The transport properties with consideration of multiple components are evaluated, with the result showing significant differences from those based on a single fluid approach. This comparison indicates that precise evaluation of the energy and magnetic flux transport of energetic events in the magnetotail requires resolving individual populations in the phase space density.