Analytical expression for distant retrograde orbits around a small natural satellite

An analytical expression for distant retrograde orbits (DROs) is obtained in this study. Owing to the fact that a planar DRO is a closed orbit and can be expressed as an approximately elliptical orbit, respective geometries and periods of DROs are analytically calculated. A switching point, where various properties of planar DROs change abruptly with an increase in the orbital radius, is determined. The Mars–Deimos system is taken as a case study in this work. The proposed method can be applied to cases where the Hill’s approximation of the restricted three-body problem is valid. Numerical calculations are performed to validate the proposed method.     

变容量限制多阶段存储问题及其求解算法

本文给出了求变容量限制多阶段存储问题的最优存储方案的一个数值算法，证明了它的理论依据，并举例说明了算法的应用。该算法具有概念清楚、步骤明确、收敛性好、易于编程实现等优点，在存贮管理中有推广应用价值。     

不可压缩Navier－Stokes方程的基本解法

利用不同阶次的Ｈｅｌｍｈｏｔｚ算子方程的基本解，建立了时间离散不可压缩Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的完全边界积分表示式。对俯仰谐振的ＮＡＣＡ００１２翼型所计算得的升力和阻力的滞后现象，与实验结果相一致     

Geometry and size optimization of stiffener layout for three-dimensional box structures with maximization of natural frequencies

Based on the growth mechanism of natural biological branching systems and inspiration from the morphology of plant root tips, a bionic design method called Improved Adaptive Growth Method (IAGM) has been proposed in the authors’ previous research and successfully applied to the reinforcement optimization of three-dimensional box structures with respect to natural frequencies. However, as a kind of ground structure methods, the final layout patterns of stiffeners obtained by using the IAGM are highly subjected to their ground structures, which restricts the optimization effect and freedom to further improve the dynamic performance of structures. To solve this problem, a novel post-processing geometry and size optimization approach is proposed in this article. This method takes the former layout optimization result as start, and iteratively finds the optimal layout angles, locations, and lengths of stiffeners with a few design variables by optimizing the positions of some specific node lines called active node lines. At the same time, thicknesses of stiffeners are also optimized to further improve natural frequencies of three-dimensional box structures. Using this method, stiffeners can be successfully separated from their ground structures and further effectively improve natural frequencies of three-dimensional box structures with less material consumption. Typical numerical examples are illustrated to validate the effectiveness and advantages of the suggested method.     

具有星间链路的星座相位设计

通过分析星座空间构形的变化规律，综合考虑星座空间构形对地面覆盖特性、星间链路、空间测量精度以及工作性能的影响，利用改进的层次分析法对星座相位进行优化设计。通过对全球覆盖星座进行仿真，验证了方法的可行性。     

Analytical solution methods for eigenbuckling of symmetric cross-ply composite laminates

Based on the first-order shear deformation theory, this paper explores the analytical methods for eigenbuckling of symmetric cross-ply rectangular composite laminates with a pair of parallel edges simply supported and the remaining two edges arbitrarily constrained. The main con-tribution of present paper lies in two aspects: one is to present a simple and effective analytical method, namely, the separation-of-variables method, which can generate the closed-form buckling solutions without any computational difficulty;the other is to incorporate the accurate computation method of exponential matrix into the state space technique to avoid the inevitable numerically ill-conditioned problems reported in several literatures. The results obtained via both analytical meth-ods are identical, and a good agreement with their counterparts in literature is observed. The separation-of-variables method can generate exact solutions within 1 s, which is impossible if the state space method is employed. Besides, the combination of the accurate computation method of exponential matrix and the state space method greatly improves the computational efficiency and gives correct results compared with the straightforward use of state space method.     

权值动态分配的加权平均法在姿态解算中的应用

鉴于各种姿态算法解算后的精度不高,提出将加权平均法应用于捷联惯导系统的姿态解算中.针对实际应用中无法准确获得姿态角度的真实值这一情况,提出对解算误差进行实时估计的方法,再基于最优权值分配的原则进行权值动态分配.对几种姿态解算算法进行了有效的融合,并应用到姿态解算模块的实际测量中.测量结果分析表明此种方法很大程度上减少了单一算法的解算误差及测量的误差,提高了测量的精度.     

数据链试飞电波传播衰减计算

数据链作用距离的试飞结果受试验区电波传播衰减影响很大,需要对其进行精确计算,为分析试飞结果提供支持.Fock级数法是计算电波衰减的一种精确方法,本文详细讨论了应用该方法求解试验区电波传播衰减的工程计算问题.     

Distributed online mission planning for multi-player space pursuit and evasion

There are three important roles in evasion conflict: pursuer, target and defender. Pur-suers’ mission is to access targets;targets’ mission is to escape from pursuers’ capture;defenders’ mission is to intercept pursuers who are potentially dangerous to targets. In this paper, a distributed online mission plan (DOMP) algorithm for pursuers is proposed based on fuzzy evaluation and Nash equilibrium. First, an integrated effectiveness evaluation model is given. Then, the details of collaborative mission planning which includes the co-optimization of task distributing, trajectory and corresponding maneuvering scheme are presented. Finally, the convergence and steadiness of DOMP are discussed with simulation results. Compared with centralized mission planning, DOMP is more robust and can greatly improve the effectiveness of pursuing. It can be applied to dynamic scenario due to its distributed architecture.