Design and analysis of a direct transfer trajectory from a near rectilinear halo orbit to a low lunar orbit

A near rectilinear halo orbit (NRHO) is regarded as a potential orbit for a future deep space station that can effectively support sustainable crewed lunar exploration missions. In this paper, the L₂ southern NRHOs are selected as the research object, and a direct transfer trajectory from an NRHO to a low lunar orbit (LLO) is designed and analyzed. First, based on the circular restricted three-body problem, the characteristics of NRHOs are discussed including geometric behaviour, stability and synodic resonance. Second, optimal direct transfer trajectories are obtained by combining a local gradient optimization with a numerical continuation strategy. A reachable domain calculation model is established. Finally, simulations are carried out to verify the feasibility of the trajectory design method. The relationship between the velocity change and the reachable domain is further analysed through simulation calculations.     

间断陡削化方法Ⅰ : 人为刚性源项方法——刚性常微分方程的计算方法的应用

本文针对界面运动的计算提出了适当附加人为刚性源项计算接触间断的方法。数值实验表明了这一方法是有效的。     

西安航空学院大学生思想政治状况调查及分析

提高大学生思政教育效果的关键在于详细了解大学生的思想现状和精神诉求。2012年3月,通过抽样问卷的形式,调查了西安航空学院大学生思想政治的基本情况,并结合调查结果对数据进行了分析,发现大学生思想政治上存在着四方面的问题。这些问题对于有针对性地开展大学生的思想教育提供了重要依据。     

一维变截面非定常气流杂交命题的广义变分原理

应用坐标变换，把可变动的物理平面，在映像平面上转化成的十分规则的矩形区，这给有限元计算带来了极大的方便。     

构建数学模型 优化贴装过程

贴装优化问题直接关系到表面贴装工艺的效率。本文以JUKI-2010/2020贴片机为试验平台,根据该机型结构及贴装过程,把贴装优化问题的描述为最小权重匹配问题(MWMP)以及非对称旅行商(TSP)问题,构建了一种新的优化模型:把时间优化转化为距离优化,并应用启发式算法进行软件编程。通过生产企业的6块PCB板的对比实验,证明了该数学模型和算法是合理的。     

具有学习效应的单机可控加工时间排序问题研究

在经典排序问题中，工件的加工时间往往是一个常数，但在现代生产过程中，工件的加工时间受许多因素的影响。因此，研究工件具有学习效应的单机可控加工时间排序问题，其中工件的加工时间是其所在位置的函数，且与加工时间的控制变量有关。目标是求出最优的加工时间控制变量和最优的排序使得目标函数最小，目标函数包括极小化时间表长与控制费用的和、极小化总完工时间与控制费用的和、极小化总完工时间偏差和与控制费用和。证明他们都能转化为指派问题，从而多项式时间可解。并给出数值例子来说明问题是如何求解的。     

Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field

We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models.     

Resonant motion, ballistic escape, and their applications in astrodynamics

A special set of solutions governing the motion of a particle, subject to the gravitational attractions of the Earth, the Moon, and, eventually, the Sun, is discussed in this paper. These solutions, called resonant orbits, correspond to a special motion where the particle is in resonance with the Moon. For a restricted set of initial conditions the particle performs a resonance transition in the vicinity of the Moon. In this paper, the nature of the resonance transition is investigated under the perspective of the dynamical system theory and the energy approach. In particular, using a new definition of weak stability boundary, we show that the resonance transition mechanism is strictly related to the concept of weak capture. This is shown through a carefully computed set of Poincaré surfaces, at different energy levels, on which both the weak stability boundary and the resonant orbits are represented. It is numerically demonstrated that resonance transitioning orbits pass through the weak stability boundaries. In the second part of the paper the solar perturbation is taken into account, and the motion of the resonant orbits is studied within a four-body dynamics. We show that, for a wide class of initial conditions, the particle escapes from the Earth–Moon system and targets an heliocentric orbit. This is a free ejection called a ballistic escape. Astrodynamical applications are discussed.     

当前高校青年教师思想政治教育面临的问题及对策探析

受当前全球化浪潮的强势冲击和市场经济的负面影响,高校青年教师的思想政治教育面临一系列挑战,直接影响了高校思想政治教育的效果。要摆脱困境,必须坚持以人为本的教育理念,重视师德建设、创新教育方法、健全激励机制,切实增强思想政治教育的吸引力、说服力、影响力和感染力。     

Optimal guidance based on receding horizon control for low-thrust transfer to libration point orbits

This paper addresses the design and computation of a guidance law for a transfer mission from an orbit near the Earth to a halo orbit around the libration point L₂ in the Sun–Earth system. The guidance law, which is designed based on receding horizon control and compensates for launch velocity errors that are introduced by inaccuracies of the launch vehicle, is solved using the generating function method. During the design of the closed-loop guidance law, the entire transfer mission, which is considered a nonlinear optimal control problem, is evaluated to obtain a nominal reference trajectory. Using the launch velocity errors and the uncertainty of the model, a spacecraft controlled by the proposed guidance law tracks the reference trajectory. Furthermore, the original Riccati differential equation in the receding horizon control algorithm is replaced by an equivalent convenient form of the Riccati differential equation that is based on the generating function. The high-efficiency solution of the equivalent equation avoids the online direct integration of the original Riccati differential equation, which significantly increases the computational efficiency for the receding horizon control problem. Numerical simulations using a nonlinear bicircular four-body model demonstrate the capabilities of the proposed receding horizon guidance law for the transfer mission. In addition, the generating function method improves the computational efficiency by at least one order of magnitude over the backward sweep method in solving the receding horizon control problem.