Generalized restricted circular three-body problem as a model for dynamics of binary asteroids

Exploration of the Solar System has recently revealed the existence of a large number of asteroids with satellites, which has stimulated interest in studying the dynamics of such systems. This paper is dedicated to the analysis of the relative motion of a binary asteroid. The conditions of existence of such a system (i.e., when its components do not run away) are derived in the Introduction. Then it is assumed that the satellite has no significant effect on the motion of the main asteroid, the latter being modeled as a dumbbell-like precessing solid body. The equations of motion of this system are a two-parameter generalization of the corresponding equations of the restricted circular three-body problem. It is demonstrated that in the system under consideration there exist steady-state motions in which the small asteroid is equidistant from attracting centers at the ends of the dumbbell (an analog to triangle libration points). The conditions of existence of such motions are derived, and the positions with respect to the dumbbell are analyzed in detail. Examination of the stability of the triangle libration points is reduced to investigation of a characteristic equation of the sixth degree. The stability conditions are derived in the case when the main asteroid executes near-planar motion.     

空间绳系机器人抓捕非合作目标的质量特性参数辨识

针对空间绳系机器人抓捕非合作目标/空间垃圾后需要对其进行回收/拖曳的精确控制问题,提出了一种利用抓捕后保持阶段的振动特性辨识目标参数的方法。首先,根据质量特性参数辨识的需要,推导了系统的动力学模型。不同于以往将本体卫星和被抓捕目标简化为质点的动力学模型,本文针对任意的目标抓捕位置,在考虑重力梯度影响的基础上,利用拉格朗日法获得系统各广义坐标的动力学公式。然后,分析非合作目标和系绳在后抓捕保持阶段的姿态运动。最后,在非合作目标与本体卫星没有任何信息交互的情况下,利用后抓捕阶段目标卫星和系绳特有的振动,并使用具有鲁棒性可遗忘因子的递推最小二乘法,提出了包括转动惯量和质心到任意抓捕点距离在内的质量特性参数辨识算法。     

Newton–Euler equations of multibody systems with changing structures for space applications

Multibody systems with changing structure are considered. These systems have stages in their motion that distinct from each other by degree of freedom (DOF), joint connection structure and joint types. These mechanical systems are common in space application e.g. separation subsystems. Single coordinate set is used to formulate Newton–Euler equations of motion at each stage. Proposed equation form simplifies equations building process for certain stages and whole motion. Numerical experiment was carried out using proposed method.     

Stabilization of a Reentry Vehicle by a Partial Spin-up during Uncontrolled Descent

Stabilization of a reentry vehicle (RV) by a partial spin-up of it is considered for the case of uncontrolled descent into the atmosphere. In this case, the vehicle is a composite construction consisting of two rigid bodies, a return capsule and a stabilizing block, which is put in rotation. A model is developed for the spatial motion of the reentry vehicle considered as a system of coaxial rigid bodies rotating about a common axis of symmetry. The free motion is studied, and the stability of steady-state regimes is analyzed. The spatial motion of the system is considered for the case of a small asymmetry due to displacement of the axes of dynamic symmetry of the bodies with respect to the spin axis, and approximate solutions for the motion parameters of the free system are found.     

翼面弹性支承边界参数识别方法的改进

提出了一种通过特征方程反问题识别翼面弹性支承边界参数的改进方法。新方法以动柔度矩阵特征方程为基础建立以边界内力为未知数的方程，由模态叠加法对可测自由度上不完全的振型拟合获取不可测自由度的振型，从而避免了压缩，又能减少对计算机内存贮量的需求。     

空间合作目标运动再现的相似度分析

研究了空间合作目标运动再现的相似度度量方法。首先,给出空间合作目标运动再现轨道姿态变量的缩比因子以及仿真系统相似度的建立要素;其次,建立运动再现的相似度评估指标模型,确定了相似元及其特征变量,给出了相似度的权重构造方法以及相似特征变量相似值的计算方法,并在此基础上提出了相似度的度量公式;最后以航天器圆轨道交会对接最终逼近段地面验证试验为例进行了相似度分析。仿真表明这种分析方法对于试验方案的选择及改进具有指导意义。     

Autonomous navigation and guidance system for low thrust driven deep space missions

Presented herein is a concept of an Autonomous Navigation & Guidance System for electrically propelled deep space missions, including hardware configuration, algorithms for autonomous navigation and guidance, and estimates of potential guidance precision and mass consumption. This concept is actually a unified Navigation, Guidance and Attitude Control system. The unification is imposed by strong coupling between the orbital motion and the spacecraft attitude characteristic of low thrust space flights. The sensor set of the system consists of an optical instrument (Coupled Sun Star Tracker), and a block of four vector accelerometers. The propulsion subsystem is a set of nearly parallel Hall thrusters rigidly attached to the spacecraft body. The final stage of data processing is combining the thrust and torque programs and generating power and mass rate shares for every thruster. An end-to-end computer simulation provides guidance accuracy estimates versus the navigation data precision, flight time and available maximum thrust. Terminal guidance errors of a few tens of km in position and a few tens of cm/s in velocities are predicted under plausible assumptions on system parameters. Mass expenditures for the control are typically below one percent of total fuel mass budget.     

空间机械臂建模方法与控制策略研究

针对刚柔耦合空间机械臂动力学建模中对柔性体采用的传统描述方法（有限元法、模态综合法以及集中参数法等）并不足以精确描述柔性大变形的问题,采用绝对节点坐标法描述柔性体,采用自然坐标法描述刚性体,建立了末端带集中质量的双连杆柔性机械臂的动力学模型并且研究了机械臂的空间定位问题。结合广义α法以及工程上常用的Scaling技术,开发了计算程序,实现了动力学方程的高效精确数值求解。针对机械臂的空间定位以及柔性变形问题,提出了一种运动规划方案,采用PD控制策略,实现了机械臂的运动跟踪控制;仿真结果表明：提出的运动规划方案能有效地减弱机械臂的柔性变形。     

反馈系统中PID控制器特性分析

PID控制器自发明以来,被广泛应用于工业控制领域,但必须针对被控对象选择合适的参数,才能使闭环反馈系统获得良好的瞬态和稳态特性。文章分析了PID控制器参数对系统特征方程根的影响,指出调整PID参数可以确定系统特征方程的极点,使系统获得满意的闭环特性;并用仿真结果证明了PID控制器可使具有延时、积分特性的被控对象得到良好的特性。     

A Study of the Reflection of Radio Waves from the Plasma Region on the Track behind an Axisymmetric Body Moving in the Earth’s Atmosphere

The results of numerical calculation of the dependences of the electron density, the eigenfrequency and the dielectric plasma permeability on the geometric parameters and the altitude of body motion in the near and far wake behind a thin conical body with a spherical nose blunting have been presented. The electron density maximum has been shown to be located in the region of the neck of the near wake behind the body, which determines the type of this region (supercritical or subcritical). This in turn affects the propagation of radio waves through this plasma region. A comparative analysis was performed for two different bodies with the same ballistic coefficient values. No characteristic distinctions were revealed in the values of electron density or the plasma eigenfrequency in the near and far wake behind these bodies. However, it has been shown that there are differences in the values of the distance from the bottom cross section to the neck of the near wake behind these bodies.     

On stability of a rotating spacecraft partially filled with liquid: The case of a single cavity

The problem of stability of a rotating spacecraft with a cavity partially filled with liquid to a small depth is considered with regard to the distinction in angular velocities of spacecraft and liquid rotation and their variability (the modes of the spacecraft’s stationary rotation, spin-up, and rotation deceleration). The regions of stability (in space of the characteristic parameters of an object) are found, and mathematical simulating of the disturbed motion is carried out.     

Relative efficacy of the proposed Space Shuttle antimotion sickness medications

Space motion sickness has been estimated as affecting between 1/3 and 1/2 of all space flight participants. NASA has at the moment proposed a combination of promethazine and ephedrine (P/E) and one of scopolamine and dextroamphetamine (S/D), both given orally, as well as a transdermally applied scopolamine (TAS), as preventive and ameliorative measures. The reported double-blind study, tests the early phase actions and efficacy of the transdermal scopolamine (Transderm (TM)-V of ALZA Corporation) and compares these in detail to the oral medications. Motion sickness resistance was tested by standardized head movements while accelerating at 0.2 degree/sec2 to a maximum rotation of 240 degrees/sec, with an intermediate plateau of 10 min at 180 degrees/sec. To permit weighting motion sickness protection against other system influences, cardiovascular, psychological (subjective and objective), and visual parameter changes were documented for the three therapeutic modes. The relative impact of the various modalities on operational and experimental components of space missions is discussed. A comparison to intramuscularly administered promethazine (a backup therapeutic mode suggested for Space Shuttle use) is also included.     

Stability of spinning satellite under axial thrust and internal mass motion

This paper considers a spinning rigid body and a particle with internal motion under axial thrust. This model is helpful for gaining insights into the nutation anomalies that occurred near the end of orbit injections performed by STAR-48 rocket motors. The stability of this system is investigated by means of linearized equations about a uniform spin reference state. In this model, a double root does not necessarily imply instability. The resulting stability condition defines a manifold in the parameter space. A detailed study of this manifold and the parameter space shows that the envelope of the constant solutions is in fact the stability boundary. Only part of the manifold defines a physical system and the range of frequency values that make the system unstable is restricted. Also it turns out that an increase of the spring stiffness, which restrains the internal motion, does not necessarily increase the stability margin. The application of the model is demonstrated using the orbit injection data of ESA's Ulysses satellite in 1990.     

空间机械臂非完整运动规划的遗传算法研究

带空间机械臂航天器系统在无外力矩作用时，系统相对于总质心的动量矩守恒而变为非完整系统。由于非完整约束的不可积性，非完整系统的运动规划与控制比一般系统要困难得多。现利用非完整特性研究了自由漂浮空间机械臂的三维姿态运动控制问题。首先导出带空间机械臂的航天器三维姿态运动数学模型，并将系统的控制问题转化为无漂移系统的非完整运动规划问题。在运动规划中，根据最优控制原理和优化理论，提出基于遗传算法的最优运动规划数值算法。通过数值仿真，表明该方法对空间机械臂及航天器三维姿态运动的非完整运动规划是有效的。     

空间最优交会

在相对体制下,本文讨论了混合指标下的最优交会问题。除给出了最优交会体制导律的结构形式外,还提供了求解最优交会制导律的参数方程组。该方程具有迭代求解形式,给数字求解带来极大方便。     

物体—双伞系统运动方程与稳定性判据

利用刚体－双刚体模型给出了物体－双伞系统的运动方程与一种简化模式，并按运动稳定性分析的原理求得了该系统的稳定性判据。     

空间自旋目标平动补偿与微动特征提取方法

针对空间自旋目标平动补偿与微动(m-D)特征提取问题,提出一种基于延时共轭相乘和微动分解的平动补偿与特征提取方法。该方法通过延时共轭相乘处理实现目标加速度估计,然后构建冗余的微动原子集,对加速度补偿后信号进行微动分解补偿,通过搜索补偿信号的最大谱峰获取目标的微动特征与速度信息。仿真试验表明,所提方法能够有效估计空间自旋目标的运动参数,并快速提取其微动特征。     

Informational approaches to angular motion control of spacecraft

Any information concepts may be used for motion control with respect to the center of masses of a reusable transport spacecraft (RTS). Using comparative analysis of the two concepts (the first one, based upon information about attitude parameters with respect to the inertial reference system and the second one, based upon parameters of angular motion with respect to wind-body coordinate system) for specific features of RTS dynamics and control at the stages of orbital flight, atmospheric flight under gas dynamic and aerodynamic control, and landing, paper demonstrates that information on angles of attack, slip and speed roll should be used for angular motion control at this stage of flight.     

基于参数化解调的旋转目标微多普勒频率提取方法

旋转运动是航天领域中最为常见的微运动,如卫星天线转动、弹道导弹自旋运动等。旋转目标的微多普勒特征对雷达目标识别具有重大影响。针对旋转目标不同散射点的微多普勒频率相互重叠、难以提取的问题,提出了基于参数化解调的旋转目标微多普勒频率提取方法。由点散射模型得到旋转目标的微多普勒信号解析形式。考虑到旋转目标微多普勒信号具有正弦频率调制特征,构造了基于正弦模型的参数化解调算子,优化微多普勒频率参数,使解调信号在载波频率处的频谱值达到最大。为了估计多个散射点的微多普勒频率参数,提出了参数迭代估计方法,在每次迭代中只估计当前最强散射点的微多普勒参数,将相应信号分量从原始信号中剔除,消除对后续分量估计结果的影响。仿真和实验结果表明:基于参数化解调的旋转目标微多普勒频率提取方法与传统时频峰值检测方法相比,能更精确地提取相互交叉的旋转目标微多普勒频率,为最终实现雷达空间目标识别提供了理论基础,能应用于卫星天线、弹道导弹等目标的监测、识别。     

一种航天测控系统可靠性定量化计算方法

航天测控系统具有动态性、复杂性、可维修性、阶段间相关性等显著特征,作为航天器安全在轨运行的重要保障,其可靠性至关重要。针对航天测控系统可靠性精确计算的难点,提出了综合马尔可夫（Markov）模型和全概率思想的复杂、动态系统可靠性定量化计算方法,给出了计算流程。按照系统的动态组成特性,将任务进程划分为多个阶段,阶段内参试状态不变,不同阶段之间参试状态不同。借鉴Markov模型描述阶段内状态转移过程,通过求解Kolmogorov后向方程得到本阶段结束时的状态概率,利用全概率思想实现阶段间状态映射,体现阶段间的依赖性,依次对各阶段求解获取整个任务可靠性,具有求解准确度高、结果可信度高等特点。最后给出算例,通过与蒙特卡洛仿真结果的比对校验Markov方法的准确性。