Electrodynamic forces in tethered satellite systems. I. Systemcontrol

Part I of this work deals with the use of electrodynamic forces for control of tethered satellite system. A system formed by two massive end-bodies connected to each other by a current carrying tether is to be kept in an Earth-pointing orientation by means of joint actions of thrusters on one of the end-bodies and electrodynamic forces acting on the tether     

Hybrid control of orbit normal and along-track two-craft Coulomb tethers

The dynamics and stability of a charged two craft formation with nominal fixed separation distance (Coulomb tethers) is studied where the cluster is aligned with either the along-track or orbit normal direction. Unlike the charged two-craft formation scenario aligned along the orbit radial direction, a feedback control law using inter-spacecraft electrostatic Coulomb forces and the differential gravitational accelerations is not sufficient to stabilize the Coulomb tether length and the formation attitude. Therefore, a hybrid feedback control law is presented which combines conventional thrusters and Coulomb forces. The Coulomb force feedback requires measurements of separation distance error and error rate, while the thruster feedback is in terms of Euler angles and their rates. This hybrid feedback control is designed to asymptotically stabilize the satellite formation shape and attitude while avoiding plume impingement issues. The effects of differential solar drag on the formation and the ability of the controller to withstand this disturbance is also studied.     

Experiences with dynamic load simulation by means of modal forces in the presence of structural non-linearities

The dynamic qualification of space structures today is performed by means of driven base tests in order to simulate the dynamic environment during launch. This method is limited to structures that fit onto the shaker facility. For large and unwieldy structures an alternative approach can be utilised which applies modal forces for the qualification. Modal forces are patterns of single forces that are able to excite single resonances. These force patterns can be applied by movable electrodynamic shakers. This article reviews the background of the method. A test strategy is proposed which is based on narrow-banded swept sine excitation and considers structural non-linearities observed frequently. The qualification method was utilised during the qualification of the European Robotic Arm (ERA). The experiences gained during the test campaign are compiled in the paper. The advantages and disadvantages of dynamic qualification by means of modal forces are discussed.     

Study on excitation force characteristics in a coupled shaker-structure system considering structure modes coupling

The interaction between an elastic structure and electrodynamic shakers commonly exists in Ground Flutter Simulation Tests(GFST) with multi-point excitations, causing a considerable discrepancy between the practical excitation forces and desired ones. To investigate the excitation force characteristics on a cantilever beam excited by a voltage-sourced electrodynamic shaker,the coupled shaker-beam system is modeled to derive the excitation force formula using Hamilton’s principle and Galerkin’s a...     

多转子系统振动分析的子结构耦合矩阵法

提出了一种用于多转子耦合系统振动分析的建模方法.将耦合的多转子系统在耦合处分开,把耦合力作为单转子系统上的外力,利用集总参数法和节点的自由振动微分方程通式建立单转子系统的振动方程.通过分析耦合部件作用在耦合节点上的力,得到了多转子系统耦合部件的耦合矩阵;利用耦合矩阵将单转子系统振动微分方程耦合在一起,建立了整个多转子系统的振动方程.通过分析多转子系统的振动方程,解出了多转子系统的固有频率、临界转速、幅频响应曲线、涡动轨迹等.通过两个算例,证实了多转子系统振动分析的子结构耦合矩阵法是可行的,计算结果是可靠的.      

地月系共线平动点探测器的星上轨道预报问题

针对定点在地月系共线平动点附近运动的探测器,研究其轨道预报问题,并探讨了星上外推预报时的力模型简化问题。首先定量分析了共线平动点L1和L2附近探测器的受力情形;然后构造了真实力模型下这些点附近的目标轨道并研究了其误差传播规律,指出这类轨道相比一般卫星轨道预报的不同特征;最后结合星上有限的计算和存储资源限制探讨了力模型的简化问题。此项工作可为定点在平动点附近的探测器的星上预报提供参考。     

Earth-moon Trajectory Optimization Using Solar Electric Propulsion

The optimization of the Earth-moon trajectory using solar electric propulsion is presented. A feasible method is proposed to optimize the transfer trajectory starting from a low Earth circular orbit (500 km altitude) to a low lunar circular orbit (200 km altitude). Due to the use of low-thrust solar electric propulsion, the entire transfer trajectory consists of hundreds or even thousands of orbital revolutions around the Earth and the moon. The Earth-orbit ascending (from low Earth orbit to high Earth orbit) and lunar descending (from high lunar orbit to low lunar orbit) trajectories in the presence of J2 perturbations and shadowing effect are computed by an analytic orbital averaging technique. A direct/indirect method is used to optimize the control steering for the trans-lunar trajectory segment, a segment from a high Earth orbit to a high lunar orbit, with a fixed thrust-coast-thrust engine sequence. For the trans-lunar trajectory segment, the equations of motion are expressed in the inertial coordinates about the Earth and the moon using a set of nonsingular equinoctial elements inclusive of the gravitational forces of the sun, the Earth, and the moon. By way of the analytic orbital averaging technique and the direct/indirect method, the Earth-moon transfer problem is converted to a parameter optimization problem, and the entire transfer trajectory is formulated and optimized in the form of a single nonlinear optimization problem with a small number of variables and constraints. Finally, an example of an Earth-moon transfer trajectory using solar electric propulsion is demonstrated.     

轨道运动对高轨卫星成像的影响及补偿

针对三轴稳定静止轨道气象卫星图像运动补偿技术,分析了轨道运动误差源对有效载荷成像仪成像光轴的影响.基于轨道确定数据,采用空间成像矢量修正方法,对轨道运动引起的光轴偏离进行补偿.根据高分辨率成像对光轴高指向精度的指标要求,研究了轨道确定误差和有效载荷伺服控制系统误差对图像配准精度的影响关系,并指出了进一步提高图像配准精度的措施.仿真结果表明了补偿方法的可行性.     

地球同步轨道薄膜太阳帆的姿态轨道控制方法

薄膜太阳帆（FSS）是集推进、发电和姿轨控功能于一体化的超大型挠性太阳帆式航天器,通过调整薄膜反射率产生可变推力和力矩,实现其姿态和轨道运动控制。结合薄膜太阳帆在地球同步轨道运行时的受力特性进行了轨道漂移分析。通过建立薄膜太阳帆动力学模型及受力模型,提出了调整帆面角度轨道修正方法以及基于薄膜光压力矩角动量卸载的长期在轨对日定向面内双轴动量轮稳定控制方法。通过系统仿真验证表明所提的轨道修正和对日定向控制方法是合理有效的,可使薄膜太阳帆长期在定点位置维持对日定向。     

Magnetic energy storage and conversion in the solar atmosphere

A review of the theoretical problems associated with preflare magnetic energy storage and conversion is presented. The review consists of three parts; preflare magnetic energy storage, magnetic energy conversion mechanisms, and preflare triggers. In Section 2, the relationship between magnetic energy storage and the electrodynamic coupling of the solar atmosphere is developed. By accounting for the electrodynamic coupling of the solar atmosphere, we are able to examine the fundamental problems associated with the concept of in situ versus remote magnetic-energy storage. Furthermore, this approach permits us to distinguish between the roles of local and global parameters in the storage process.Section 3 is focused on the conversion mechanisms that can explain, in principle, the rapid energy release of a flare. In addition, we discuss how electrodynamic coupling eventually dictates which mechanism(s) is responsible for releasing the stored magnetic energy, and how the global coupling dictates the final evolution of the relevant mechanism. Section 4 examines preflare triggers and Section 5, we examine the most promising directions for future research into the problem of magnetic-energy storage and conversion of the Sun.     

A Detailed Analysis of the Operational Orbit of the Hipparcos Satellite

An analysis of the orbital evolution of the ESA's Hipparcos satellite is presented. Hipparcos operated between August 1989 and March 1993 in a highly elliptical orbit: a geostationary transfer orbit with increased perigee height. The requirements of the scientific mission included high accuracy knowledge of the position and velocity vectors of the spacecraft as a function of time. Through a study of the variations in the total orbital energy, the loss of energy during the mission as a result of non-conservative forces is recovered. These are explained as largely due to atmospheric drag during perigee passages. Apparent variations in the drag coefficient are in agreement with orientation variations of the satellite during those perigee passages. Two different models used for calculating the atmospheric drag give significantly different results, confirming earlier findings by other users of those models. This revised version was published online in August 2006 with corrections to the Cover Date.     

转子进动分析的4个定理

建立4个关于转子进动的定理.定理1为转子进动圆的面积定理;定理2为转子进动圆的周长定理;定理3和4则描述了转子上的作用力及其所作的功与转子进动的关系.应用上述定理,对不平衡力、阻尼力和反对称交叉刚度产生的弹性力所做的功进行了分析.所得结论与经典理论一致.但发现,ω_y＜Ω＜ω_x时,由于|r_-|＞r₊|,反对称交叉刚度产生的弹性力做负功,W＜0.这种情况下,反对称交叉刚度为镇定因素,有利于抑制反进动失稳.      

Survey of maneuvering target tracking. Part V. Multiple-model methods

This is the fifth part of a series of papers that provide a comprehensive survey of techniques for tracking maneuvering targets without addressing the so-called measurement-origin uncertainty. Part I and Part II deal with target motion models. Part III covers measurement models and associated techniques. Part IV is concerned with tracking techniques that are based on decisions regarding target maneuvers. This part surveys the multiple-model methods $the use of multiple models (and filters) simultaneously - which is the prevailing approach to maneuvering target tracking in recent years. The survey is presented in a structured way, centered around three generations of algorithms: autonomous, cooperating, and variable structure. It emphasizes the underpinning of each algorithm and covers various issues in algorithm design, application, and performance.     

高维反向旋转双转子系统的建模方法及动力特性

为了弥补有限元方法预测含局部非线性的双转子系统动力特性的不足,借助有限元软件和固定界面模态综合法,建立了高维双转子系统非线性动力学模型,随后利用Newmark算法思想提出了一种隐式时域求解该问题的方法,该方法的求解效率主要取决于非线性力处的自由度个数.在考虑挤压油膜阻尼器非线性力和中介轴承非线性力的基础上,研究了双不平衡激励作用下的反向旋转双转子系统的非线性动力响应特性.研究表明:系统响应中除内、外转子自转频率外,出现了2个自转频率的组合频率;随中介轴承径向游隙的增加,系统转速分岔图中出现了分岔和混沌现象,且临界转速略有下降;系统轴心轨迹呈花瓣状,与试验结果基本吻合.      

月地转移轨道精确轨道设计

以基于Lambert算法的快速轨道设计结果为初值,开展精确轨道设计研究.通过对月地返回飞行阶段的摄动项和量级分析,建立了月地转移轨道的动力学方程,提出了一种双向嵌套循环搜索算法,采用该算法求解同时满足两端约束条件的精确月地转移轨道.该算法以出月球影响球的时刻和位置、速度为中间变量,一方面采用前向数值积分和微分改正法搜索满足地球再入端的轨道,另一方面采用后向数值积分并进行倾角和近月距修正得到满足月球端的轨道,通过这种双向嵌套循环,使得两段轨道在月球影响球边界处的位置和速度连续,从而获得一条完整的满足两端约束条件的月地转移精确轨道.最后以2017年1月26日出月球影响球作为返回窗口,给出了具体的设计算例,并通过STK软件仿真验证了程序的设计结果.     

High-precision shape approximation low-thrust trajectory optimization method satisfying bi-objective index

The shape approximation method has been proven to be rapid and practicable in resolving low-thrust trajectory; however, it still faces the challenges of large deviation from the optimal solution and inability to satisfy the specific flight time and fuel mass constraints. In this paper, a modified shape approximation low-thrust model is presented, and a novel constrained optimization algorithm is developed to solve this problem. The proposed method aims at settling the bi-objective optimization o...     

考虑轴颈涡动的滑动轴承动力特性数值研究

基于非定常动网格技术建立了考虑轴颈涡动频率与涡动轨迹的滑动轴承动力特性求解模型。在验证求解模型准确性的基础上,研究了轴颈正弦直线涡动轨迹、圆涡动轨迹、椭圆涡动轨迹下,涡动频率和偏心率对滑动轴承动力特性的影响。研究结果表明:轴颈的周期性涡动导致轴承油膜最小间隙和油膜压力周期性变化,油膜最小间隙越小,油膜压力越大;随着轴颈正弦轨迹涡动,由此形成的油膜力也呈正弦规律变化,且变化频率与轴颈涡动频率相同,但油膜力的相位滞后于轴颈涡动位移的相位;轴颈涡动频率及涡动轨迹对滑动轴承动力特性影响较大,需要考虑轴颈涡动对滑动轴承动力特性的影响。随着偏心率的增加,动力特性系数绝对值均随之增大。      

电动力绳系离轨系统电流与拉力混合展开控制

电动力绳系离轨系统是一种典型的空间碎片主动消除技术,本文针对电动力绳离轨系统在初始阶段展开的控制问题,仅通过调节有限的系绳张力与电流,不依赖其他推进器,将导电系绳释放至期望长度并抑制系绳的摆动。首先,采用倾斜偶极子地磁场模型,建立考虑系绳质量的近地轨道二体电动力绳系卫星系统动力学模型;其次,在系绳张力与电流存在约束的条件下,采用反步法结合抗饱和辅助函数解决控制输入受限问题,并引入动态尺度广义逆实现了欠驱动电动力绳系统展开稳定控制问题;然后,应用Lyapunov稳定性定理证明了其闭环系统的稳定性;最后,在MATLAB/SIMULINK平台上进行了仿真验证。结果表明：通过调节系绳张力与电流,可以将系绳释放到指定位置,同时控制输入满足约束条件。     

Shape control of spacecraft formation using a virtual spring-damper mesh

This paper derives a distance-based formation control method to maintain the desired formation shape for spacecraft in a gravitational potential field. The method is an analogy of a vir-tual spring-damper mesh. Spacecraft are connected virtually by spring-damper pairs. Convergence analysis is performed using the energy method. Approximate expressions for the distance errors and control accelerations at steady state are derived by using algebraic graph representations and results of graph rigidity. Analytical results indicate that if the underlying graph of the mesh is rigid, the convergence to a static shape is assured, and higher formation control precision can be achieved by increasing the elastic coefficient without increasing the control accelerations. A numerical exam-ple of spacecraft formation in low Earth orbit confirms the theoretical analysis and shows that the desired formation shape can be well achieved using the presented method, whereas the orientation of the formation can be kept pointing to the center of the Earth by the gravity gradient. The method is decentralized, and uses only relative measurement information. Constructing a distributed virtual structure in space can be the general application area. The proposed method can serve as an active shape control law for the spacecraft formations using propellantless internal forces.     

Evaluation of Geometric Performance of Global Positioning System

The global positioning system (GPS) is a satellite-based radio navigation system to provide extremely accurate three-dimensional position fixes and system time to users anywhere on the Earth at any time regardless of weather conditions. The most significant performance parameter of the GPS is the degree of navigation accuracy which is strongly coupled to the choice of orbit configuration. The 3 X 8 orbit configuration has been considered as an operational GPS which consists of 24 satellites deployed in circular 63° inclined, subsynchronous 12-h orbits. In this paper, the geometric performance of several orbit configuration, including a 3 X 8 orbit configuration, is analyzed numerically by altering orbit period and elevation mask, respectively. It will be shown that 1) there are a few orbit configurations which are comparable to or better than the baseline 3 X 8 orbit configuration, and 2) for higher elevation mask, the geometric performance can be improved effectively by increasing orbit period to some extent.