Accurate approximation of in-ecliptic trajectories for E-sail with constant pitch angle

Propellantless continuous-thrust propulsion systems, such as electric solar wind sails, may be successfully used for new space missions, especially those requiring high-energy orbit transfers. When the mass-to-thrust ratio is sufficiently large, the spacecraft trajectory is characterized by long flight times with a number of revolutions around the Sun. The corresponding mission analysis, especially when addressed within an optimal context, requires a significant amount of simulation effort. Analytical trajectories are therefore useful aids in a preliminary phase of mission design, even though exact solution are very difficult to obtain. The aim of this paper is to present an accurate, analytical, approximation of the spacecraft trajectory generated by an electric solar wind sail with a constant pitch angle, using the latest mathematical model of the thrust vector. Assuming a heliocentric circular parking orbit and a two-dimensional scenario, the simulation results show that the proposed equations are able to accurately describe the actual spacecraft trajectory for a long time interval when the propulsive acceleration magnitude is sufficiently small.     

最小二乘直线函数的特性分析

证明了最小二乘直线函数是一种严格的凸函数。F(a,b)=∑(y-ax_i-b)~2是一个椭圆抛物面。a=[n∑x_iy_i-∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]和b=[∑x_i^2∑y_i-∑x_i∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]仅表示极值点。a=∑x_iy_i/∑x_i和 b=[∑x_i^2∑y_i-∑x_i∑x_iy_i]/[n∑x_i^2]在某些情况下可以是极值点,但不是在每种情况下都是极值点。     

基于LabVIEW设计曲线拟合仪

基于LabVIEW图形化编程环境和软件分析库函数设计的曲线拟合仪，界面友好，功能齐全，操作简便，在科学研究和工程应用中具有较强的实用价值。文中简要介绍利用NI虚拟仪器技术设计曲线拟合仪的方法，给出软件设计思想与实现方案，对主要软件功能模块进行了分析。     

门限自回归模型参数的局部正交设计寻优法

在采用点值图确定门限区间个数的基础上，对门自回归模型中门限值、滞后步长、各门限区间模型阶数，利用正交设计方法寻优，计算工作量锐减，却可得到精度较高的预报模型。     

Flutter analysis of an airfoil with bounded random parameters in incompressible flow via Gegenbauer polynomial approximation

The effects of parameter uncertainty on the flutter characteristics of a two-dimensional airfoil in an incompressible flow were investigated through Gegenbauer polynomial approximation. The uncertain parameters, such as the linear and cubic pitch stiffness coefficients are modeled as bounded random variables with λ-PDFs (probability density functions). With the aid of Gegenbauer polynomial approximation, the two-dimensional stochastic airfoil system is transformed at first into its equivalent deterministic one. Then the Hopf-bifurcation point is determined through the equivalent deterministic system, and the onset of the flutter, together with the flutter frequency against the probability density distribution parameter and the intensity of the random variable is explored. In addition, the ranges of the peak pitch and plunge responses against the flight speed and the PDFs of the peak pitch response are obtained. Numerical results show how the probability density distribution parameters and the intensities of random parameters affect the flutter onset speed, flutter angular frequency, the upper and lower boundaries of peak responses, and the PDFs of peak responses.     

基于有限元法的隧道荷载模型位移反分析

介绍了一种以荷载模型为求解对象的位移反分析法。它是以通用有限元软件为实验平台，利用隧道位移实测值建立荷载灵敏系数方程，根据最小二乘法原理反求隧道模型的荷载，再将正分析结果和实际值进行对比分析井重新调整隧道荷载模型，最终获得较为符合实际的隧道荷载模型。该方法的优点是既考虑了岩土松动荷载效应又能体现支护结构与周围岩土体的共同作用，且具有较好的操作性。     

空间相机相对辐射定标精度分析

文章介绍了CCD相机辐射定标概念;分析对比了平均行标准差法、平均标准差法和广义噪声法三种计算相对辐射定标精度的算法;对归一化系数法、最小二乘法进行相对定标的数学原理进行了介绍;并采用中巴地球资源卫星02B CCD相机辐射定标数据计算三种定标精度,验证了理论分析的正确性,并指出了现有定义算法的不足处。     

点火瞬态过程仿真模型参数辨识

建立了固体火箭发动机点火瞬态过程一维非定常流场仿真模型,采用系统辨识方法进行了模型参数不确定性研究。基于点火试验用缩比发动机试验结果,得到了传热模型参数和瞬态燃速模型参数的最优估计,提高了点火瞬态过程一维仿真模型的预估精度。采用近似方法,构建Kriging近似函数,有效解决了一维非定常流场仿真的计算复杂性问题。     

自由转子陀螺仪的伺服测试技术研究

自由转子陀螺仪是目前精度最高的一种陀螺仪,没有精密的力矩器,因此,只能采用双轴伺服法来辨识其漂移误差模型。介绍了双轴伺服测试法的基本原理,给出了双轴伺服转台的运动轨迹及重力矢量的变化规律。根据转台的运动特性,建立了自由转子陀螺仪的漂移误差模型,导出双轴伺服转台转角数据估计漂移误差模型系数的算法。从测试结果可以看出自由转子陀螺仪的长时间精度高,表明采用伺服测试法能够获得极高的测试精度,伺服转台可以作为测试自由转子陀螺仪精度的装置。     

组网数据处理探讨

讨论了测向定位中双站交会定位及定位误差分析、三站交会定位、多站交会定位若干问题，首次尝试将最小二乘法和递推最小二乘法用于多站测向定位，减少了大量的矩阵求逆，数据利用效率高，可以提高测向定位的精度和简化运算。特别是在存在多径效应的情况下，有利于发现和去除野值。在测向站组网数据的处理和应用上有较强的实用性和推广价值。