Relative equilibria in quasi-homogeneous planar three body problems

In this paper we find the families of relative equilibria for the three body problem in the plane, when the interaction between the bodies is given by a quasi-homogeneous potential. The number of the relative equilibria depends on the values of the masses and on the size of the system, measured by the moment of inertia.     

Stability of relative equilibria of the full spacecraft dynamics around an asteroid with orbit–attitude coupling

The full dynamics of spacecraft around an asteroid, in which the spacecraft is considered as a rigid body and the gravitational orbit–attitude coupling is taken into account, is of great value and interest in the precise theories of the motion. The spectral stability of the classical relative equilibria of the full spacecraft dynamics around an asteroid is studied with the method of geometric mechanics. The stability conditions are given explicitly based on the characteristic equation of the linear system matrix. It is found that the linearized system decouples into two entirely independent subsystems, which correspond to the motions within and outside the equatorial plane of the asteroid respectively. The system parameters are divided into three groups that describe the traditional stationary orbit stability, the significance of the orbit–attitude coupling and the mass distribution of the spacecraft respectively. The spectral stability of the relative equilibria is investigated numerically with respect to the three groups of system parameters. The relations between the full spacecraft dynamics and the traditional spacecraft dynamics, as well as the effect of the orbit–attitude coupling, are assessed. We find that when the orbit–attitude coupling is strong, the mass distribution of the spacecraft dominates the stability of the relative equilibria; whereas when the orbit–attitude coupling is weak, both the mass distribution and the traditional stationary orbit stability have significant effects on the stability. We also give a criterion to determine whether the orbit–attitude coupling needs to be considered.     

A theoretical method for solving shock relations coupled with chemical equilibrium and its applications

In this study, a theoretical method is proposed to solve shock relations coupled with chemical equilibrium. Not only shock waves in dissociated flows but also detonation waves in combustive mixtures can be solved. The global iterative solving process is specially designed to mimic the physical and chemical process in reactive shock waves to ensure good stability and fast convergence in the proposed method. Within each global step, the single-variable equations of normal and oblique shock relatio...     

基于拓扑优化的航空发动机滑油箱支架设计

支架是航空发动机滑油箱组件中的重要部件,用于连接和固定滑油箱组件中的箍带.但现有支架设计会引起与之相连的箍带承受偏心拉力,导致结构应力水平偏高进而发生疲劳破坏.本文提出了一种考虑结构局部刚度的拓扑优化方法,能够在提升支架整体刚度的同时兼顾局部刚度,使支架的刚度分布更加合理,进而显著降低与之相连的箍带的应力水平.利用该优...     

煤油液滴高压蒸发特性

采用真实流体模型描述高压下流体热物理性质的非理想性,并采用状态方程（EoS）法计算多组分高压气-液相平衡及环境气体溶解性,在此基础上建立包含亚临界和超临界两种不同机制的瞬态液滴高压蒸发模型。针对中国新一代高压补燃液氧/煤油发动机,详细研究了煤油液滴在超临界环境下的高压蒸发特性及各因素影响机理。结果表明：高压环境会显著加快液滴温升速率,但弱超临界环境下仍然为相平衡控制的亚临界蒸发状态;只有强超临界环境下才较容易发生扩散控制的超临界蒸发状态。在高压、高温环境下,忽略气相溶解性将导致液滴蒸发速率明显偏小。针对弱超临界环境,温度升高会使液滴蒸发速率单调增加;压力升高则在低温下降低蒸发速率,而在高温下加快蒸发速率。针对强超临界环境,温度升高只提升初始亚临界蒸发阶段的蒸发速率,而超临界蒸发阶段的蒸发速率与环境温度无关;压力升高则同样会提升初始亚临界蒸发阶段的蒸发速率,但会降低超临界蒸发阶段的蒸发速率,此时的总蒸发寿命随压力升高小幅下降。     

GPS/伪卫星组合定位中伪卫星改进选址模型

为了更为有效地改善GPS卫星的几何结构,提高GPS/伪卫星组合定位的精度,在推导伪卫星增强GPS系统基本公式的基础上,阐述了GPS绝对定位精度因子的相关理论,说明了引入伪卫星的必要性;提出了建立以观测时间、高度角和方位角为自变量,绝对定位精度因子为因变量的四维选址模型,并采用一次性添加伪卫星方式,改进现有的逐颗添加方式,建立了整体最优的伪卫星选址模型,给出了该模型的工作流程。以空间位置精度因子PDOP为例,进行实测数据测试与分析,结果表明：基于两种伪卫星添加方式建立的四维模型均可为高效的伪卫星选址工作提供可靠依据,实现伪卫星的优化选址;其中一次性添加方式优于逐颗添加方式,尤其对于添加2颗伪卫星,PDOP值在局部的优化程度达到了1.0以上,较大程度地改善了逐颗添加伪卫星方式产生的不利区域,可以提供更为有效的伪卫星选址方案。     

一种改进的多点融合非均匀校正技术

针对空间宽幅相机在进行非均匀性校正过程中相机镜头与积分球输出口的相对位置发生变换后非均匀性校正精度下降的原因进行了分析,提出了一种改进的融合多点位置的非均匀校正新方法,即为了消除积分球的角均匀性和面均匀性的不足,采用获取多个位置的大量定标图像,融合求取平均值的方法得到校正系数来削弱这种影响,并进行试验验证分析。结果表明,多点融合的校正方法在积分球输出口光强不均匀、又无法固定相机与积分球相对位置的前提下,减少了积分球光强的不均匀性对系数可靠性的影响,相对辐射定标的非均匀校正精度得到大幅提高。     

Behavior of tethered debris with flexible appendages

Active exploration of the space leads to growth of a near-Earth space pollution. The frequency of the registered collisions of space debris with functional satellites highly increased during last 10 years. As a rule a large space debris can be observed from the Earth and catalogued, then it is possible to avoid collision with the active spacecraft. However every large debris is a potential source of a numerous small debris particles. To reduce debris population in the near Earth space the large debris should be removed from working orbits. The active debris removal technique is considered that intend to use a tethered orbital transfer vehicle, or a space tug attached by a tether to the space debris. This paper focuses on the dynamics of the space debris with flexible appendages. Mathematical model of the system is derived using the Lagrange formalism. Several numerical examples are presented to illustrate the mutual influence of the oscillations of flexible appendages and the oscillations of a tether. It is shown that flexible appendages can have a significant influence on the attitude motion of the space debris and the safety of the transportation process.     

热力学非平衡状态下DSMC绝热壁边界的抽样方法

从直接模拟蒙特卡罗仿真DSMC方法的实现途径出发,经过分析推导,给出了一种在考虑分子转动能、振动能等热力学非平衡状态下统计求解绝热壁温的DSMC抽样方法。然后采用锥体外形的算例验证,分析了该方法在实现绝热壁条件时的统计误差。计算结果表明,此种方法能够有效地实现DSMC方法壁面处的绝热壁条件,随着采样步数的增加,其边界条件实现时的统计误差不断降低,该方法收敛后的统计误差可降至0.5%,能够满足工程要求。     

An alternative representation of the relative motion: The local orbital elements

The study of the relative motion between two very-close non-massive objects has been usually done through Hill equations. More recent approaches use the differences of orbital elements to extrapolate relative motion. In this paper, we present another possible representation of the relative motion. This representation takes advantage of the very particular most common relative trajectory: the ellipse. Our representation induces a better temporal comprehension of the motion but it also provides the topology of the natural relative motions. Our approach is useful for circular and slightly eccentric reference orbits.