网络最大流与最小割集的矩阵算法

本文给出了解决运输问题为中心的一类特殊的线性规划问题的新的、简便的算法。网络最大流与最小割集的矩阵算法,不仅能解决许多这类问题,而且能使最小费用流、分配问题和运输问题容易通过计算机来实现。     

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.     

A first step towards proton flux forecasting

We present a preliminary version of a potential tool for real time proton flux prediction which provides proton flux profiles and cumulative fluence profiles at 0.5 and 2 MeV of solar energetic particle events, from their onset up to the arrival of the interplanetary shock at the spacecraft position (located at 1 or 0.4 AU). Based on the proton transportation model by Lario et al. [Lario, D., Sanahuja, B., Heras, A.M. Energetic particle events: efficiency of interplanetary shocks as 50 keV E < 100 MeV proton accelerators. Astrophys. J. 509, 415–434, 1998] and the magnetohydrodynamic shock propagation model of Wu et al. [Wu, S.T., Dryer, M., Han, S.M. Non-planar MHD model for solar flare-generated disturbances in the Heliospheric equatorial plane. Sol. Phys. 84, 395–418, 1983], we have generated a database containing “synthetic” profiles of the proton fluxes and cumulative fluences of 384 solar energetic particle events. We are currently validating the applicability of this code for space weather forecasting by comparing the resulting “synthetic” flux profiles with those of several real events.     

空间碎片防护结构设计优化理论方法研究

航天器空间碎片防护结构设计优化在国际上属前沿课题，防护结构设计优化理论方法是其关键技术之一。在防护优化理论模型及其优化算法研究方面取得了突破性进展，建立了综合各类典型防护结构构型的统一的防护优化数学模型，提出了解决防护优化问题的几种算法：混合遗传算法，改进的差异演化算法和混合差异演化算法。最后采用航天器防护优化算例对防护优化理论方法进行了测试考核，优化结果表明了本文工作的可行性和有效性。     

顺序函数法求解二维非稳态热传导逆问题

基于有限控制体积法对二维非稳态热传导问题的数值模拟，导出了处理二维非稳态热传导逆问题的顺序函数法，并用该方法来对一典型的圆环域边界条件反演问题进行了反演计算，结果表明，顺序函数法是求解二维非稳态热传导逆问题的有效方法，当测量噪声比较小时，顺序函数法能得出较高精度的反演结果；当测量噪声增大时，反演结果仍能较好地再现出精确解在空间和时间方向上的变化趋势，具有一定精度。     

等价差分格式在三维复杂流场数值模拟中的应用

结合数值Riemann不变量和通量限制器（FluxLimiter）的概念，将基于Chakravarthy和Osher半离散差分格式的等价差分格式应用于三维复杂流场计算，应用时间相关法和全流场捕捉技术，获得了Ma＝10，a＝10°状态下球头绕流结果，壁面压力分布与Rusanov的计算结果相符合，在此基础上细致地刻画了在Ma＝7，a＝20°状态下绕流带座能飞船的复杂流场。     

粒子云侵蚀问题实验研究中动能通量模拟的意义

本文首先将粒子云侵蚀条件下的驻点表面后退分解为无粒子烧蚀部分、粒子云引起的烧蚀增量部分和粒子撞击物面引起的直接侵蚀部分。然后研究了表面能量平衡关系,给出了粒子云引起的烧蚀增量表达式。最后分三类讨论粒子与飞行器的碰撞:(1)完全弹性碰撞(不符合实际);(2)完全非弹性碰撞;(3)部分弹性碰撞。对于后两种碰撞,本文分析了动能通量模拟适用的条件。     

空间任意形状凸面的轨道空间外热流计算方法

采用蒙特卡罗（ＭｏｎｔｅＣａｒｌｏ）方法，进行了平板、半球面、抛物面的地球反照角系数和地球红外角系数计算，通过与文献数据的比较，证明了由此方法所编程序的可靠性和实用性。利用这种方法，可以计算空间任意形状凸表面的轨道空间外热流。