An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincare′sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L_1, L_2, and L_3 points as well as Lissajous orbits for L_1 and L_2 points in the EarthMoon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.     

Research on navigation of satellite constellation based on an asynchronous observation model using X-ray pulsar

Pulsar navigation is a promising navigation method for high-altitude orbit space tasks or deep space exploration. At present, an important reason for restricting the development of pulsar navigation is that navigation accuracy is not high due to the slow update of the measurements. In order to improve the accuracy of pulsar navigation, an asynchronous observation model which can improve the update rate of the measurements is proposed on the basis of satellite constellation which has a broad space for development because of its visibility and reliability. The simulation results show that the asynchronous observation model improves the positioning accuracy by 31.48% and velocity accuracy by 24.75% than that of the synchronous observation model. With the new Doppler effects compensation method in the asynchronous observation model proposed in this paper, the positioning accuracy is improved by 32.27%, and the velocity accuracy is improved by 34.07% than that of the traditional method. The simulation results show that without considering the clock error will result in a filtering divergence.     

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.     

一种针对局部结构的有限元模型修正方法

针对实际结构有限元模型（FEM）的建模误差通常仅存在于局部区域，提出了一种对局部结构单独进行模型修正的方法。首先，根据频响函数（FRF）解耦理论得到由残余结构频响函数与包含待修正参数的局部结构动刚度所重构的整体结构频响函数的拟合值，然后通过迭代优化使其与测量值的残差最小化，从而得到参数的极大似然估计。在此基础上，将残差关于参数的灵敏度以局部结构动力学矩阵表示，建立了模型修正的基本方程，利用整体结构的测试数据即可直接对分离出来的局部结构进行模型修正。最后，对喷气式飞机和三角机翼飞机分别进行了数值模拟和实验研究，验证了所提方法的可行性和有效性。结果表明，所提方法可以成功地用于仅局部区域含有建模误差的实际结构有限元模型的修正，修正后的有限元模型的动态特性与实际结构有较好的一致性。     

基于合成射流的旋翼翼型动态失速控制研究

针对直升机旋翼工作环境下来流速度和迎角(Angle of attack,AoA)耦合引起的动态失速问题,建立了基于合成射流的旋翼动态失速控制的数值模拟方法。采用运动嵌套网格方法,通过对翼型的平移和旋转实现变来流速度-变迎角的耦合。以积分形式的雷诺平均N-S方程为主控方程,空间离散使用Roe格式,时间离散为隐式LU-SGS方法,以OA209翼型为研究对象,在翼型上表面放置合成射流激振器,开展了射流位置、动量系数、无量纲频率以及偏角等参数对轻度失速、深度失速下翼型动态失速控制的研究。研究发现,轻度失速下,射流位置靠近气流分离点时(20%c附近,c为翼型弦长),对逆压梯度引起的轻度失速控制效果最佳。深度失速下气流分离点虽在5%c之前,但射流位于前缘分离泡后端(10%c附近)时控制效果较好。大迎角需要较大的动量系数才能有效控制。射流频率对涡结构的尺寸和数量会产生一定影响,能改变气动特性波动幅度。较小的射流偏角对轻度失速的控制更有效,而深度失速则需要较大的偏角。     

一种高动态低信噪比卫星导航信号捕获方法

为提升高动态低信噪比环境下卫星导航信号的捕获性能,提出了一种基于分数阶傅里叶变换(FrFT)及部分匹配滤波(PMF)的捕获方法。在该方法中,接收机首先利用PMF对接收信号做分段相干积分,随后借助快速傅里叶变换(FFT)对分段积分结果做离散快速FrFT,最后通过检测FrFT输出的峰值完成信号的捕获。由于具有多普勒频率变化率的卫星导航信号在FrFT后呈现能量聚焦特性,所提方法能够显著提高信号的长时间相干积分增益。同时对所提算法的捕获概率、平均捕获时间以及算法复杂度等性能指标进行了理论分析及计算机仿真验证。仿真表明,与传统的PMF-FFT方法相比,所提方法能够通过延长相干积分时间的方式有效提升高动态低信噪比卫星导航信号的捕获概率、降低捕获时间。     

FDI飞机舵面损伤故障全局检测的非线性数学模型

阐述了飞机在单舵面损伤故障下 ,建立故障状态下的数学模型 ,以及同样输入条件下飞机正常运动时的数学模型 ,得到飞机在相同飞行条件下损伤时的气动系数和无损伤正常时的气动系数 ,最终得到气动系数的残差。这将为以后飞机过载残差和角加速度残差奠定基础。论文中结合一定的算例给予证实推论的正确性。     

一种飞机大仰角飞行的模糊控制方法

提出了一种飞机大仰角飞行的动态逆模糊集成控制方法。首先使用动态逆方法求得系统的逆，使系统反馈线性化，然后，用具有在线规则自调整的模糊控制方法来确保系统的最终特性。该方法应用在高性能收音机俯仰机动指令系统的设计中，仿真结果表明，所设计的控制器满足操纵品质的要求，并且，在大仰角飞行时具有较好的鲁棒性。     

预移相型恒温热线(膜)流速计的动态响应方程

分析传统恒温热线热膜流速计(简称 HWFA)动态方程后,提出了一种新型HWFA 线路模型——主电桥预移相模型,推导出真实条件下小扰动动态响应方程,并按此原理设计制造了崭新的高性能 IFV—900型 HWFA 样机。该机全部革除了传统HWFA 的三个调节参量,大大地简化了调节步骤;不自激振荡的范围明显增宽,极大地减少了使用上的麻烦;频带宽度比当今世界流行的 HWFA 增宽了2～5倍;加上一系列智能化功能后使自动化程度达到了新的高度。这一新型 HWFA 的问世将可能导至 HWFA技术的重大改进和新的变革。首先阐明主电桥预移相模型的提出和真实条件下小扰动动态响应方程的推导。随后将用若干姐妹篇阐明动态方程频率响应调节元物理值的解析解,频率特性实验分析手段的电扰动试验响应情况的理论分析等内容。     

对地定向三轴稳定卫星的圆锥扫描地球敏感器的数学模型

本文介绍了对地定向三轴稳定卫星的圆锥扫描式地球敏感器的姿态测量原理、输出几何关系和数学模型，并以实际例子说明大角度姿态控制时必须注意敏感器输出的轴间耦合问题