Polynomial Hamiltonian systems with a nilpotent critical point

The study of Hamiltonian systems is important for space physics and astrophysics. In this paper, we study local behavior of an isolated nilpotent critical point for polynomial Hamiltonian systems. We prove that there are exact three cases: a center, a cusp or a saddle. Then for quadratic and cubic Hamiltonian systems we obtain necessary and sufficient conditions for a nilpotent critical point to be a center, a cusp or a saddle. We also give phase portraits for these systems under some conditions of symmetry.     

Network based real-time precise point positioning

Network based real-time precise point positioning system includes two stages, i.e. real-time estimation of satellite clocks based on a reference network and real-time precise point positioning thereafter. In this paper, a satellite- and epoch-differenced approach, adopted from what is introduced by Han et al. (2001), is presented for the determination of satellite clocks and for the precise point positioning. One important refinement of our approach is the implementation of the robust clock estimation. A prototype software system is developed, and data from the European Reference Frame Permanent Network on September 19, 2009 is used to evaluate the approach. Results show that our approach is 3 times and 90 times faster than the epoch-difference approach and the zero-difference approach, respectively, which demonstrates a significant improvement in the computation efficiency. The RMS of the estimated clocks is at the level of 0.1 ns (3 cm) compared to the IGS final clocks. The clocks estimates are then applied to the precise point positioning in both kinematic and static mode. In static mode, the 2-h estimated coordinates have a mean accuracy of 3.08, 5.79, 6.32 cm in the North, East and Up directions. In kinematic mode, the mean kinematic coordinates accuracy is of 4.63, 5.82, 9.20 cm.     

均衡、不动点及变分包含问题公共解的算法

介绍了求解公共解集的一种迭代格式。该迭代格式求解的问题包括有限个关于集值极大单调映射和反强单调映射的变分包含问题、非扩张映射不动点问题和均衡问题。在一定的条件下证明了强收敛定理。     

基于不变流形的地-月L2点转移轨道优化设计

在地–月L2点月球中继卫星轨道转移设计中,采用高比冲、小推力的电推进器可以大大增加卫星的有效载荷比,但会增加轨道设计的难度。基于地球GEO轨道为初始轨道,地–月L2点的halo轨道为目标轨道,通过最优控制中的混合法及平动点轨道的不变流形,研究了作为拓展任务的利用地月系统不变流形的小推力变轨方案,可以有效简化转移的轨道设计。仿真结果表明:得到了任意推力情况下最节省推进剂燃料的推力方向控制方案,对月球中继卫星的轨道设计及其平动点轨道设计具有工程意义。     

飞行器轨道的特征点

针对飞行器轨道的数据处理问题,首次提出了轨道的特征点概念。轨道的特征点是飞行器动力突变的真实反映,轨道特征点的客观存在,要求我们在测量数据处理中,在多项式表示轨道时应以特征点为端点,或以特征点为轨道样条表示的当然节点,否则将带来轨道的表示误差,在残差数据中波动现象。介绍了提取轨道特征点的方法,仿真与实际测量数据的处理结果表明：特征点提取方法准确度较镐;特征点为当然节点的样条函数表示轨道能消除节点选     

应用iGMAS超快速星历的实时精密单点定位研究

中国主导建设的国际GNSS监测评估系统(iGMAS)相比国际上比较成熟的IGS系统在产品精度等方面存在差别,目前实时精密单点定位应用多采用IGS实时、近实时产品.为改变这一现状,针对iGMAS产品特性以及实时精密单点定位对超快速精密星历的需求,对iGMAS超快速星历的精度和稳定性方面进行评估,设计了iGMAS产品实时/...     

单差PPP相位偏差估计方法及有效性分析

针对常规浮点解精密单点定位收敛时间长的问题,分析了PPP模型中模糊度不具备整数性质的原因,采用方向数据统计的计算方法,以单差模糊度为研究对象,对相位偏差进行了建模估计。算例从精密单点定位单差模糊度固定、定位精度以及收敛速度等方面对相位偏差改正的有效性进行了分析,结果表明,经相位偏差改正后的PPP模糊度固定成功率、收敛速度有了明显提高,定位精度较浮点解提高了一个量级。     

Numerical Investigation of Flow Separation Control on a Highly Loaded Compressor Cascade by Plasma Aerodynamic Actuation

To discover the characteristic of separated flows and mechanism of plasma flow control on a highly loaded compressor cascade, numerical investigation is conducted. The simulation method is validated by oil flow visualization and pressure distribution. The loss coefficients, streamline patterns, and topology structure as well as vortex structure are analyzed. Results show that the numbers of singular points increase and three pairs of additional singular points of topology structure on solid surface generate with the increase of angle of attack, and the total pressure loss increases greatly. There are several principal vortices inside the cascade passage. The pressure side leg of horse-shoe vortex coexists within a specific region together with passage vortex, but finally merges into the latter. Corner vortex exists independently and does not evolve from the suction side leg of horse-shoe vortex. One pair of radial coupling-vortex exists near blade trailing edge and becomes the main part of backflow on the suction surface. Passage vortex interacts with the concentrated shedding vortex and they evolve into a large-scale vortex rotating in the direction opposite to passage vortex. The singular points and separation lines represent the basic separation feature of cascade passage. Plasma actuation has better effect at low freestream velocity, and the relative reductions of pitch-averaged total pressure loss coefficient with different actuation layouts of five and two pairs of electrodes are up to 30.8% and 26.7% while the angle of attack is 2°. Plasma actuation changes the local topology structure, but does not change the number relation of singular points. One pair of additional singular point of topology structure generates with plasma actuation and one more reattachment line appears, both of which break the separation line on the suction surface.     

基于数控编程的渐进成形模拟复杂刀路构建方法

复杂刀路的构建是金属板料渐进成形的数值模拟中的难点。针对此问题,提出了一种基于数控编程技术的刀路加载方法,可简单方便的在有限元模拟中实现复杂轨迹运动控制。根据该方法的基本思想,编写了渐进成形数值模拟中复杂刀路加载软件,并在ABAQUS软件中成功将该方法实现。     

可实现定点停泊与轨迹逼近的航天器交会控制

许多空间任务均需进行轨道交会,据任务的不同,对轨道交会的要求也不同,某些情况下需要跟踪星在交会的过程中暂时停泊于某一点,某些情况下对交会过程的视线角与轨迹提出一定的要求.针对这种需求,设计了一种闭环反馈控制方法,可以使跟踪星在设定的某点进行停泊及停泊保持,也可以沿设定的某条轨迹逼近目标,以满足不同任务对交会过程的不同要求.经仿真表明,此方法能够很好的满足任务要求,并具有精度高、能耗低、跟踪速度快的特点.