Evolution of periodic orbits near the Lagrangian point L2

A study of the evolution of the periodic and the quasi-periodic orbits near the Lagrangian point L₂, which is located to the right of the smaller primary on the line joining the primaries and whose distance from the more massive primary is greater than the distance between the primaries, in the framework of restricted three-body problem for the Sun–Jupiter, Earth–Moon (relatively large mass ratio) and Saturn–Titan (relatively small mass ratio) systems is made. Two families of periodic orbits around the smaller primary are identified using the Poincaré surface of section method – family I (initially elliptical, gradually becomes egg-shaped with the increase in the Jacobi constant C and elongated towards the more massive primary) and family II (initially egg-shaped orbits elongated towards L₂ and gradually becomes elliptical with the increase in C). The family I in the Sun–Jupiter and Saturn–Titan systems contains two separatrix caused by third-order and fourth-order resonances, while the Earth–Moon system has only one separatrix which is caused by third-order resonances. Also in the Sun–Jupiter and the Saturn–Titan systems, family I merge with family II, around Jacobian constant 3.0393 and 3.0163, respectively, while in the Earth–Moon system, family II evolves separately from two different branches. The two branches merge at C = 3.184515. In the Earth–Moon system, the family II contains a separatrix due to third-order resonances which is absent in the other two systems.     

高职院校基建维修管理存在的问题及对策

为了规范基建维修管理,合理控制工程造价,根据多年积累的基建工作管理经验和兄弟院校成功的做法,对高职院校基建维修工程中存在的问题进行了具体分析,提出有效的管理办法和对策。     

基于遗传算法的军事物流运输计划

针对军事物流运输中车辆装载和车辆路径的组合问题进行研究,建立车辆装载和车辆路径组合问题的目标优化模型。通过改进遗传算法对模型求解,得到了较为满意的结果,可以在满足多车型多品种货物配送约束的条件下,实现运输车辆最少、车辆满载率高、车辆运输路径最短的目标。     

旋翼桨叶动力学设计技术

桨叶动力学设计,其实质是求解非线性高维动力学逆问题的具体实施。本文较全面地阐述了这方面的进展情况,提出了切实可行、有效实用的数值方法。     

Dynamics of a spacecraft and normalization around Lagrangian points in the Neptune–Triton system

The problem of a spacecraft orbiting the Neptune–Triton system is presented. The new ingredients in this restricted three body problem are the Neptune oblateness and the high inclined and retrograde motion of Triton. First we present some interesting simulations showing the role played by the oblateness on a Neptune’s satellite, disturbed by Triton. We also give an extensive numerical exploration in the case when the spacecraft orbits Triton, considering Sun, Neptune and its planetary oblateness as disturbers. In the plane a × I (a = semi-major axis, I = inclination), we give a plot of the stable regions where the massless body can survive for thousand of years. Retrograde and direct orbits were considered and as usual, the region of stability is much more significant for the case of direct orbit of the spacecraft (Triton’s orbit is retrograde). Next we explore the dynamics in a vicinity of the Lagrangian points. The Birkhoff normalization is constructed around L₂, followed by its reduction to the center manifold. In this reduced dynamics, a convenient Poincaré section shows the interplay of the Lyapunov and halo periodic orbits, Lissajous and quasi-halo tori as well as the stable and unstable manifolds of the planar Lyapunov orbit. To show the effect of the oblateness, the planar Lyapunov family emanating from the Lagrangian points and three-dimensional halo orbits are obtained by the numerical continuation method.     

Earth–Moon libration point orbit stationkeeping: Theory,modeling, and operations

Collinear Earth–Moon libration points have emerged as locations with immediate applications. These libration point orbits are inherently unstable and must be maintained regularly which constrains operations and maneuver locations. Stationkeeping is challenging due to relatively short time scales for divergence, effects of large orbital eccentricity of the secondary body, and third-body perturbations. Using the Acceleration Reconnection and Turbulence and Electrodynamics of the Moon's Interaction with the Sun (ARTEMIS) mission orbit as a platform, the fundamental behavior of the trajectories is explored using Poincaré maps in the circular restricted three-body problem. Operational stationkeeping results obtained using the Optimal Continuation Strategy are presented and compared to orbit stability information generated from mode analysis based in dynamical systems theory.     

我国物流标准化存在的问题及对策

当前我国物流标准化存在以下问题:总体发展滞后、基础薄弱、体制"瓶颈"、采用国际标准少、对行政力量过于依赖,等等.解决的对策有:发挥政府部门作用、加快体系研究、借签国外经验、发挥行业协会作用、加大宣传力度,等等.     

弹道快速解法-样条边值法

本文提出了一种弹道计算的新方法，样条边值法，它具有精度高，收敛快的优点。     

非常规机动操纵要求的计算

首先推导了飞机运动的逆动力学模型，为使问题具有一般性，采用了刚体运动模型，其中力方程建立在风轴系中，力矩方程建立在体轴系中，并且已知气动力模型，其次，由于飞行轨变地标位置（ｘ，ｙ，ｚ）的形式给出，因此构造了一种基于坐标位置的算法，当给定坐标值后，即可据此对逆问题进行求解并得出相应的操纵要求，最后以一种非常规机动动作为例进行了逆仿真，得出了操纵要求。