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.     

样条函数在轨道计算中的应用

提出了在已知现速度的情况下，用样条函数计算视加速度的新方法，避免了传统牛顿插值法的不可靠性及由此而产生轨道重构错误的缺点，仿真结果表明用样条函数法重构的轨道精度明显优于牛顿插值法。     

导弹随机飞行仿真的建模研究

本文研究了导弹的六自由度（６ＤＯＦ）空间运动制导系统的基本特性，建立了导弹随机飞行模块化数字仿真结构。在随机干扰作用下，应用协方差分析描述函数技术（ＣＡＤＥＴ），分析弹着点的散布，获得了较满意的结果。文中主要讲述了方波控制的导弹的有关问题，但所给方法对其它类型的导弹也是同样适用的。     

用于导弹系统性能统计分析的统计线性化伴随法

本文在研究ＳＬＡＭ方法基础上，进行了理论推导和计算方法方面的改进，并将此方法应用于导弹系统性能的统计分析，计算机仿真结果表明该方法与采用ＣＡＤＥＴ方法的结果完全一致。     

导弹机动飞行的弹道参数估算

为简化计算,根据导弹的质心运动方程,通过近似处理导出了导弹机动飞行中助推段、跨越段和机动段弹道参数的估算公式。仿真计算表明,该估算公式的计算结果与理论公式的偏差较小,且方法简便,可用于导弹机动飞行的弹道设计。     

导弹子母弹子弹抛撒弹道模型及数字仿真

建立了导弹子母弹抛撒弹道模型，并编制了抛撒弹道仿真程序，仿真结果与靶场试验结果一致，仿真程序也适用于所有弹道导弹子母弹撒 轴对称子弹的无控弹道仿真，可为地地导弹子母作战使用及作战效能研究提供强有力的分析工具。     

A data-driven approach to modeling high-density terminal areas: A scenario analysis of the new Beijing,China airspace

Airports are being developed and expanded rapidly in China to accommodate and pro-mote a growing aviation market. The future Beijing Daxing International Airport (DAX) will serve as the central airport of the JingJinJi megaregion, knitting the Beijing, Tianjin, and Hebei regions together. DAX will be a busy airport from its inception, relieving congestion and accommodating growth from Beijing Capital International Airport (PEK), currently the second busiest airport in the world in passengers moved. We aim to model terminal airspace designs and possible conflicts in the future Beijing Multi-Airport System (MAS). We investigate standard arrival procedures and mathematically model current and future arrival trajectories into PEK and DAX by collecting large quantities of publicly available track data from historical arrivals operating within the Beijing terminal airspace. We find that (1) trajectory models constructed from real data capture aberrations and deviations from standard arrival procedures, validating the need to incorporate data on histor-ical trajectories with standard procedures when evaluating the airspace and (2) given all existing constraints, DAX may be restricted to using north and east arrival flows, constraining the capacity required to handle the increases in air traffic demand to Beijing. The results indicate that the termi-nal airspace above Beijing, and the future JingJinJi region, requires careful consideration if the full capacity benefits of the two major airports are to be realized.     

Hypersonic reentry trajectory planning by using hybrid fractional-order particle swarm optimization and gravitational search algorithm

This paper proposes a novel hybrid algorithm called Fractional-order Particle Swarm optimization Gravitational Search Algorithm (FPSOGSA) and applies it to the trajectory planning of the hypersonic lifting reentry flight vehicles. The proposed method is used to calculate the control profiles to achieve the two objectives, namely a smoother trajectory and enforcement of the path constraints with terminal accuracy. The smoothness of the trajectory is achieved by scheduling the bank angle with the aid of a modified scheme known as a Quasi-Equilibrium Glide (QEG) scheme. The aerodynamic load factor and the dynamic pressure path constraints are enforced by further planning of the bank angle with the help of a constraint enforcement scheme. The maximum heating rate path constraint is enforced through the angle of attack parameterization. The Common Aero Vehicle (CAV) flight vehicle is used for the simulation purpose to test and compare the proposed method with that of the standard Particle Swarm Optimization (PSO) method and the standard Gravitational Search Algorithm (GSA). The simulation results confirm the efficiency of the proposed FPSOGSA method over the standard PSO and the GSA methods by showing its better convergence and computation efficiency.     

含滑行时间约束的真空段弹道设计研究

由于动力系统及测控资源的约束,工程中存在着末级两次点火但滑行时间受限的运载火箭真空段弹道设计问题。基于线性引力场的假设,引入含滑行时间约束的切换条件,从而将含固定滑行时长的弹道优化问题转换成对两点边值问题的迭代求解和对运动方程的积分,并通过多个算例仿真验证了该方法的正确性和有效性。同时,研究了迭代过程中滑行段不同弹道预报方法对弹道设计的影响,结果显示较高的预报精度可以获得更优的弹道设计结果。该方法提供了一种新的弹道设计思路,在总体方案论证或初步设计阶段可以替代传统设计方法,以有效提升弹道设计效率,优化火箭方案。