Orbital stability close to asteroid 624 Hektor using the polyhedral model

We investigate the orbital stability close to the unique L4-point Jupiter binary Trojan asteroid 624 Hektor. The gravitational potential of 624 Hektor is calculated using the polyhedron model with observational data of 2038 faces and 1021 vertexes. Previous studies have presented three different density values for 624 Hektor. The equilibrium points in the gravitational potential of 624 Hektor with different density values have been studied in detail. There are five equilibrium points in the gravitational potential of 624 Hektor no matter the density value. The positions, Jacobian, eigenvalues, topological cases, stability, as well as the Hessian matrix of the equilibrium points are investigated. For the three different density values the number, topological cases, and the stability of the equilibrium points with different density values are the same. However, the positions of the equilibrium points vary with the density value of the asteroid 624 Hektor. The outer equilibrium points move away from the asteroid’s mass center when the density increases, and the inner equilibrium point moves close to the asteroid’s mass center when the density increases. There exist unstable periodic orbits near the surface of 624 Hektor. We calculated an orbit near the primary’s equatorial plane of this binary Trojan asteroid; the results indicate that the orbit remains stable after 28.8375?d.     

关于Nielsen数的注记

通过构造基本群的正规子群，得到有限复迭空间和自映射的提升。并定义了NL数，指出用NL数可以估算自映射的Nielsen数。     

一种划分航空知识点类型的方法

基于航空知识提出一种划分知识点类型的方法,对各种知识点类型进行统计,给出知识点的存储结构。     

深空探测器定位在共线平动点附近的线性策略

深空探测器需要定位在日-地(月)系的共线平动点L1或L2附近执行探测任务,但由于共线平动点的不稳定性,必须在运行期间进行轨控。对于条件周期轨道(如晕轨道)必须在控制过程中考虑高次项,控制条件复杂,技术上实现相对困难。而某些探测任务,探测器定位在共线平动点附近的条件拟周期轨道(对应L issajous轨道)上亦可以。这种类型的轨道可以离共线平动点较近,那么只需要在控制过程中考虑线性项即可,控制条件简单。以圆型限制性三体问题作为基本模型,采用预估-校正法逼近线性化模型下的目标轨道,给出在轨运行期间的轨控策略亦是可取的,这种控制措施相对而言较简单,容易实现。仿真计算结果表明是可行的,能够提供较高的位置精度。     

Aircraft nonlinear stability analysis and multidimensional stability region estimation under icing conditions

Icing is one of the crucial factors that could pose great threat to flight safety,and thus research on stability and stability region of aircraft safety under icing conditions is significant for control and flight.Nonlinear dynamical equations and models of aerodynamic coefficients of an air craft are set up in this paper to study the stability and stability region of the aircraft under an icing condition.Firstly,the equilibrium points of the iced aircraft system are calculated and analyzed based on the theory of differential equation stability.Secondly,according to the correlation theory about equilibrium points and the stability region,this paper estimates the multidimensional stability region of the aircraft,based on which the stability regions before and after icing are compared.Finally,the results are confirmed by the time history analysis.The results can give a reference for stability analysis and envelope protection of the nonlinear system of an iced aircraft.     

基于过渡工作过程的航空发动机气路分析方法

为对发动机机动性能的退化程度进行估计,开展了基于过渡工作过程的气路分析研究。针对气路传感器数目较少的情况,采用序列工作点方法对大量的健康参数进行分析,在增加可用信息量的同时,降低了由多工作点方法的平均效应引入的参数估计系统误差。为解决发动机大偏差性能退化健康参数估计中的计算收敛性问题,提出了间接递归牛顿-拉夫逊法强化非支配分类差分进化算法。针对某型双轴分排涡扇发动机的气路分析结果表明：采用本文所提出的方法能够在气路传感器数目有限的条件下,利用发动机过渡态数据实现对大偏差范围内大量健康参数的高效、准确估计。     

深空探测器运行轨道的基本性态

要成功地发射一个深空探测器进入目标轨道,相应的运行过程基本上涉及3个阶段:近地停泊轨道运行段、转移轨道的过渡段和进入目标天体的绕飞段。它们各自的运行状态和相应的数学模型有所差别,特别是转移轨道段的运行特征与绕飞段的卫星轨道的典型特征之间的重大差别,在深空探测任务中受到广泛的重视,如平动点利用中的晕(Halo)轨道和引力加速的节能过渡等。然而,就太阳系而言,这些不同轨道之间有一共同的基本性态,那就是都可以用在牛顿万有引力定律制约下的开普勒轨道(或变化的开普勒轨道)来刻画。本文将针对上述不同运行段轨道对应的数学模型、研究方法和结果,结合我们所做的工作进行综述。     

无网格法耦合RNG k-ε湍流模型在亚、跨声速翼型黏性绕流中的数值模拟

基于移动最小二乘无网格方法,耦合RNG(Re-Normalisation Group)k-ε湍流模型求解雷诺平均Navier-Stokes方程。采用AUSM(Advection Upstream Splitting Method)+-up迎风格式求解数值通量,应用在高度各向异性点云结构中取得良好结果的点云重构技术结合移动最小二乘法拟合空间导数,并用三阶SSP(Strong Stability Preserving)型Runge-Kutta显式时间推进格式求解离散后的控制方程。在此基础之上,实现了对NACA0012、RAE2822翼型亚、跨声速黏性绕流的数值模拟,给出了翼型表面压力系数分布曲线、不同位置处的平均速度剖面、马赫数等值线等计算结果,并与实验值及相关文献数值模拟结果进行比较,结果吻合较好。表明所发展的结合点云重构技术的无网格方法耦合RNGk-ε湍流模型能够成功模拟翼型亚、跨声速黏性绕流,验证了所提算法的有效性,并拓展了无网格方法求解湍流流动的途径。     

Comparison of ionosphere characteristic parameters obtained by ionosonde with IRI-2007 model over Southeast Asia

In this work, the foF2 and hmF2 parameters at the conjugate points near the magnetic equator of Southeast Asia are studied and compared with the International Reference Ionosphere (IRI) model. Three ionosondes are installed nearly along the magnetic meridian of 100°E; one at the magnetic equator, namely Chumphon (10.72°N, 99.37°E, dip angle 3.0°N), and the other two at the magnetic conjugate points, namely Chiang Mai (18.76°N, 98.93°E, dip angle 12.7°N) and Kototabang (0.2°S, 100.30°E, dip angle 10.1°S). The monthly hourly medians of the foF2 and hmF2 parameters are calculated and compared with the predictions obtained from the IRI-2007 model from January 2004 to February 2007. Our results show that: the variations of foF2 and hmF2 predicted by the IRI-2007 model generally show the similar feature to the observed data. Both parameters generally show better agreement with the IRI predictions during daytime than during nighttime. For foF2, most of the results show that the IRI model overestimates the observed foF2 at the magnetic equator (Chumphon), underestimates at the northern crest (Chiang Mai) and is close to the measured ones at the southern crest of the EIA (Kototabang). For hmF2, the predicted hmF2 values are close to the hmF2(M3000F2_OBS) during daytime. During nighttime, the IRI model gives the underestimation at the magnetic equator and the overestimation at both EIA crests. The results are important for the future improvements of the IRI model for foF2 and hmF2 over Southeast Asia region.     

基于相对最值点的最小二乘直线检测方法

为了解决传统目标检测中遇到的检测速度慢、精度低等问题,本文提出一种新的图像特征——相对最值点,并依据相对最值点提出一种新的最小二乘直线检测的方法。该方法首先搜索Canny边缘的闭合包络,并寻找闭合包络的相对最值点。包络上相邻相对最值点之间长度满足阈值要求的即为疑似直线的两端点,进而利用最小二乘拟合方法获得该疑似直线的拟合方差,最后利用拟合方差与拟合直线长度之比作为直线判定的标准用来检测出图像中的直线。实验表明,本方法与传统方法如PPHT直线检测、LSD直线检测方法等相比,检测直线的精度更高,检测速度更快。