一种研究圆柱度目标函数单谷性的新方法

提出了一种研究圆柱目标函数单谷性的新方法，圆柱度目标函数单谷性的问题目前研究得还少，而弄清楚圆柱度目标函数是否是单谷函数对于用优化原理正确地计算其极值是非常重要的。     

用特征根构造变系数线性最佳控制

本文研究单输入n阶常系数线性系统满足二次型指标(积分区间有限,终点给定为(o,…o)) 的最佳控制。所得结果使用户无需解Riccati方程,也不要用数值法解出两点边值问题,仅由这个两点边值问题的特征根即可构造变系数线性最佳控制。这个结果既适于低价(n=1,2,3)时用来写出变系数线性最佳控制的一般表达式(17)—(19),也适于高阶时用计算机计算,其程序已用FORTRAN-Ⅳ在AD三TAMAX-186机上实现。     

多尺度子域基函数矩量法解的稳定性与迭代法

通过对几个具体实例的计算，证实了在电磁场边值问题的矩量法求解过程中，选用不同的基函数其解的数值稳定性会有很大的差别。从而有可能选择一种数值稳定性比较好的基函数来进行矩量法求解。另一方面，提出了选用多尺度子域基函数，并通过多次迭代来提高矩量法解的精度的算法。实例计算表明，该算法不仅可以有效地降低系数矩阵的条件数，而且还降低了对计算机内存容量的要求，是一种有效的、稳定的算法     

正态分位点的矩阵算法浅析

假设标准正态的t分位点记为z(t),本文将根据z(t)的Taylor展开式中各个系数之间的矩阵递推关系,给出一种计算z(t)的近似值的方法,并给出具体的程序运算来验证本文的结论.     

Quantitative assessment and visualization of flight risk induced by coupled multi-factor under icing conditions

Aircraft icing has been proven to be one of the most serious threats to flight safety. During the analysis of flight risk under icing conditions, quantitative assessment and visualization of flight risk are quite essential as they provide safe manipulation strategies in intricate conditions. However, they are rarely studied. Since the icing flight accidents are the result of the coupling of multiple unfavorable factors, in present study, we have proposed a method to quantitatively assess flight risk induced by multi-factor coupling under icing conditions by Monte-Carlo simulation and multivariate extreme value theory. The results demonstrate that the flight risk probability increases with the rise of unfavorable factors. Besides, a flight risk visualization method named flight safety window has been presented to build the flight risk distribution cloud maps in different complex conditions. The cloud maps show that the icing would give rise to atrophy of the safety scope, and the consequence would be even more severe when coupled with other more unfavorable factors. The proposed methods in this study would be useful in flight risk analysis under icing conditions and can enhance the pilot's situational awareness in selecting correct strategies within the safety zone to avoid unsafe manipulation.     

An empirical solar radiation pressure model for satellites moving in the orbit-normal mode

We present a family of empirical solar radiation pressure (SRP) models suited for satellites orbiting the Earth in the orbit normal (ON) mode. The proposed ECOM-TB model describes the SRP accelerations in the so-called terminator coordinate system. The choice of the coordinate system and the SRP parametrization is based on theoretical assumptions and on simulation results with a QZS-1-like box-wing model, where the SRP accelerations acting on the solar panels and on the box are assessed separately. The new SRP model takes into account that in ON-mode the incident angle of the solar radiation on the solar panels is not constant like in the yaw-steering (YS) attitude mode. It depends on the elevation angle of the Sun above the satellite’s orbital plane. The resulting SRP vector acts, therefore, not only in the Sun-satellite direction, but has also a component normal to it. Both components are changing as a function of the incident angle. ECOM-TB has been used for precise orbit determination (POD) for QZS-1 and BeiDou2 (BDS2) satellites in medium (MEO) and inclined geosynchronous Earth orbits (IGSO) based on IGS MGEX data from 2014 and 2015. The resulting orbits have been validated with SLR, long-arc orbit fits, orbit misclosures, and by the satellite clock corrections based on the orbits. The validation results confirm that—compared to ECOM2—ECOM-TB significantly (factor 3–4) improves the POD of QZS-1 in ON-mode for orbits with different arc lengths (one, three, and five days). Moderate orbit improvements are achieved for BDS2 MEO satellites—especially if ECOM-TB is supported by pseudo-stochastic pulses (the model is then called ECOM-TBP). For BDS2 IGSOs, ECOM-TB with its 9 SRP parameters appears to be over-parameterized. For use with BDS2 IGSO spacecraft we therefore developed a minimized model version called ECOM-TBMP, which is based on the same axis decomposition as ECOM-TB, but has only 2 SRP parameters and is supported by pseudo-stochastic parameters, as well. This model shows a similar performance as ECOM-TB with short arcs, but an improved performance with (3-day) long-arcs. The new SRP models have been activated in CODE’s IGS MGEX solution in Summer 2018. Like the other ECOM models the ECOM-TB derivatives might be used together with an a priori model.     

用两颗GPS卫星确定低轨卫星轨道的初值方法

研究了用两颗全球定位系统（ＧＰＳ）卫星粗略确定低轨卫星轨道的问题,并着重讨论了其中的初值问题,给出了一种有效的初值方法。实验结果证明：这种方法能给出一个确定的、实用的初值,大大减少了初轨计算的计算量,并使得算法收敛更加有保障。在工程实用方面比传统的猜测方法具有较大的优势。     

非线性两点边值问题的六阶三对角差分法

讨论了满足边界条件y(a)=A 和y(b)=B 的二阶非线性常微分方程y″=f(x,y)的六阶三对角差分法,并从理论和实际计算证明了该方法的六阶收敛性。     

量化对遥感图像质量的影响

文章定义了航天遥感图像的信噪比 (SNR) ,调制传递函数 (MTF) ,动态范围 (DR) ,并在理论上推导了它们与量化位数b的关系     

基于效用价值驱动的旅客出行动力学研究与建模

为了探究交通体系中旅客出行行为的特征与机理,以某机场离港旅客的陆侧出行数据为研究对象,对旅客出行模式进行了统计。分析发现,旅客聚集行为具有强烈的阵发性,不同出行维度旅客群体的聚集时间间隔分布具有幂律特征,且幂指数和阵发性强度呈正相关关系。同时,研究认为旅客出行换乘决策是综合时间、费用、便捷舒适度、突发情况等多因素的期望实现,是一种基于效用价值驱动的人类行为。基于此构建了效用价值驱动模式下的旅客出行行为动力学模型,可输出幂指数为参数可调的幂律分布,且仿真输出和实证数据分析结果相吻合。