一类受周期扰动航天器的混沌姿态运动

研究了航天器从绕最小惯量主轴到最大惯量主轴旋转的姿态机动过程中的混沌现象。考虑到航天器内部或外部的振动部件的影响,假设两个主轴的转动惯量为时间的周期函数,同时还考虑了航天器内结构阻尼以及稀薄气体阻力的影响。应用高维的Melnikov方法,求解姿态机动过程中产生混沌的条件的解析表达式,且得到的阀值条件是扰动系统参数的函数。最后对该阀值条件进行了数值验证。     

Stability and chaos of a damped satellite partially filled with liquid

The stability and chaotic motions of a damped satellite partially filled with liquid which is subjected to external disturbance are investigated in this paper. With linearization analysis, the stability of the two non-trivial equilibrium points is studied. The homoclinic and heteroclinic orbits are found by using the undetermined coefficient method, and the convergence of the series expansions of these two types of orbits is proved. It analytically demonstrates that there exist homoclinic orbits of the Si’lnikov type that join the two non-trivial equilibrium points to themselves, and therefore smale horseshoes and the horseshoe chaos occur for this system via the Si’lnikov criterion. In addition, there also exists a heteroclinic orbit connecting the two non-trivial equilibrium points. Numerical simulations are also given, which verify the analytical results. The system can be chaotic through period-doubling bifurcations as the amplitude of the external disturbance varies, and backward period-doubling bifurcations as the angular momentum of the rotor varies.     

Stability and chaos of a damped satellite partially filled with liquid

The stability and chaotic motions of a damped satellite partially filled with liquid which is subjected to external disturbance are investigated in this paper. With linearization analysis, the stability of the two non-trivial equilibrium points is studied. The homoclinic and heteroclinic orbits are found by using the undetermined coefficient method, and the convergence of the series expansions of these two types of orbits is proved. It analytically demonstrates that there exist homoclinic orbits of the Si’lnikov type that join the two non-trivial equilibrium points to themselves, and therefore smale horseshoes and the horseshoe chaos occur for this system via the Si’lnikov criterion. In addition, there also exists a heteroclinic orbit connecting the two non-trivial equilibrium points. Numerical simulations are also given, which verify the analytical results. The system can be chaotic through period-doubling bifurcations as the amplitude of the external disturbance varies, and backward period-doubling bifurcations as the angular momentum of the rotor varies.     

航天器的起旋和消旋运动

本文利用轴对称刚体在自身力矩作用下,绕定点运动的一阶正规型运动微分方程代替欧拉方程,讨论航天器的起旋和消旋运动。给出两个卡尔丹角为小量时运动方程的解析积分,由此直接导出航天器相对质心的动量矩矢量及自旋轴在起旋和消旋运动中的变化规律。并以伽里略航天器作为具体对象进行了数值计算。     

弱非轴对称航天器的起旋和消旋运动

本文在文献[1]的基础上,利用逐次逼近法给出弱非轴对称航天器起旋和消旋运动的解析积分。     

The management of the geostationary environment

The population in the geostationary orbit is increasing at the rate of about 25 spacecraft a year and operating lifetimes are increasing. The size of the spacecraft is increasing, as is the power level. The only way to protect the operational arc is to reboost spacecraft at end of life to a burial orbit. While most operators do some reboost maneuver at end of mission there has been no agreed upon criterion for the maneuver. The ITU-R S. 1003¹ recommends reboost of not less than 300 km with the apogee as high as possible. The Interagency Debris Coordination Working Group (IADC) has recently achieved a consensus on a recommendation that the minimum maneuver be 235 km + Cr 1000 A/M. The concept is that this accommodates the ± 3 7.5 km variance in normal radial positioning and a 167.5 km corridor above the arc for repositioning or supersynchronous delivery and establishes a criterion by which the dispositioned spacecraft will never enter that zone after its completion of the maneuver. It also deals with the fact the area mass ratio of spacecraft has been evolving to higher values. Earlier spacecraft had characteristic values of 0.03 but the average now is closer to 0.05 and there are some as great as 0.10.

Disposition of the upper stage should be the same as the spacecraft if it is delivered to GSO. It is preferable to have the stage deliver the spacecraft supersynchronous and then have the spacecraft maneuver down to the GSO.     

双自旋同步气象卫星的姿态运动分析

本文建立了考虑各种偏差和带有步进辐射计的一般双自旋卫星的动力学模型，并引入平主轴坐标系概念，由线性分析给出摆动运动及章动运动的规律。通过引入瞬时主轴系，并考虑了辐射计偏的影响，导出了辐射计步进过程产生的章动运动的表达式，最后将线性分析结果与非线性模型数学仿真进行了对比，结果表明两者相当一致。     

Comment on ‘Stability and chaos of a damped satellite partially filled with liquid’ [Acta Astronautica 65 (2009) 1628–1638]

In the commented paper the authors consider a model for a damped satellite partially filled with liquid. They claim to prove the existence of Sil'nikov homoclinic and heteroclinic orbits using the undetermined coefficient method. It is enough to read their Theorem 3 to understand that their results are incorrect: according to it, if the equilibria are saddle-foci the existence of Sil'nikov homoclinic and heteroclinic connections is guaranteed. As we show along this comment, their conclusions are erroneous because the form of the function they assume for the global connections is incongruous.     

Development and experimentation of LQR/APF guidance and control for autonomous proximity maneuvers of multiple spacecraft

This work introduces a novel control algorithm for close proximity multiple spacecraft autonomous maneuvers, based on hybrid linear quadratic regulator/artificial potential function (LQR/APF), for applications including autonomous docking, on-orbit assembly and spacecraft servicing. Both theoretical developments and experimental validation of the proposed approach are presented. Fuel consumption is sub-optimized in real-time through re-computation of the LQR at each sample time, while performing collision avoidance through the APF and a high level decisional logic. The underlying LQR/APF controller is integrated with a customized wall-following technique and a decisional logic, overcoming problems such as local minima. The algorithm is experimentally tested on a four spacecraft simulators test bed at the Spacecraft Robotics Laboratory of the Naval Postgraduate School. The metrics to evaluate the control algorithm are: autonomy of the system in making decisions, successful completion of the maneuver, required time, and propellant consumption.     

考虑多禁止指向区域的航天器反步姿态机动控制

针对规避多个禁止指向区域的航天器姿态机动控制问题,本文在利用势函数法构造约束条件的基础上设计了一种基于反步法的航天器姿态机动控制律。首先,构造了一种通用的基于误差四元数的航天器锥形禁止指向姿态集描述,并将其转化为凸约束集形式。其次,基于该凸约束集,提出了一种物理意义明确的新型凸势函数构造方法,且该势函数仅存在唯一全局最小值,避免了传统势函数的局部极小值问题。进一步地,考虑多个禁止指向区域,设计了一种基于反步法的航天器姿态机动控制律。最后,通过典型数值仿真算例表明了本文所提出控制算法的有效性和优越性。     

翼伞雀降技术

雀降是翼伞的一种重要性能,在本质上是一种小心操纵的动力失速,使回收系统以最小的速度着陆,降低着陆冲击,实现定点着陆。文章简要介绍了翼伞雀降技术的概念、雀降的典型过程和影响雀降性能的主要因素。目前有限元模拟技术已经用于大型冲压翼伞的雀降技术研究中。随着回收载荷和空投物质量的增加,原来用于翼伞雀降的伺服机构已不再适用,各国正在寻找新的动力源或方法来实现自动雀降。     

细长型双自旋静止卫星测控仿真

本文介绍了在计算机上进行细长型双自旋卫星姿态、轨道和重要遥测参数仿真的原理和方案。该方案考虑了卫星章动运动对姿态的影响，根据实时性和精度的要求，模拟卫星实际测控过程，对各种遥测量进行了仿真。基于该方案的仿真程序通过了星地大回路演练的检验，达到了预期的要求和目的。     

再入弹头的螺旋机动研究

为了对付日益发展的导弹防御技术 ,再入弹头通过机动来提高生存机会。本文研究一种弹道机动方法—螺旋机动 ,首先分析其产生机理 ,然后通过反馈线性化方法实现螺旋机动的控制过程 ,最后通过实例仿真说明螺旋机动具有良好的突防能力。     

细长体双自旋卫星消旋主动章动控制动力学解耦的系统仿真

细长体双自旋卫星自旋部分的能量耗散会导致卫星章动运动的发散。利用消旋体的惯性积在动力学上的耦合作用,使消旋电机的轴向力矩通过耦合,产生横向力矩来阻尼章动,称之为消旋主动章动控制（ＤＡＮＣ）［１］。本文提出一种利用动力学解耦的仿真方案,用单轴平台进行细长体双自旋卫星消旋和章动控制的系统试验,验证了系统的可行性。     

分布式卫星系统在轨操作的多目标分配

针对空间在轨操作目标分配问题,以分布式卫星系统为研究对象,提出了一种基于粒子群算法的在轨操作多目标分配方法。以分布式卫星机动所消耗的总能量最省为目标函数,建立了在轨操作多目标分配的数学模型。基于固定时间拦截理论,以机动时刻和对应的速度增量作表征,设计实现了单颗卫星最优机动方案。通过合理设计粒子位置与目标分配解的对应关系,采用粒子群算法对问题进行了求解,并详细阐述了算法的实现步骤。算例分析结果表明,建立的模型和算法能够快速得到正确的可行解,可有效解决多约束条件下空间在轨操作的多目标分配问题。     

Spacecraft attitude maneuver using two single-gimbal control moment gyros

In this paper, arbitrary rest-to-rest attitude maneuver problems for a satellite using two single-gimbal control moment gyros (2SGCMGs) are considered. Although single-gimbal control moment gyros are configured in the same manner as the traditional pyramid-array CMG, only two CMGs are assumed to be available. Attitude maneuver problems are similar to problems involving two reaction wheels (RWs) from the viewpoint of the number of actuators. In other words, the problem treated herein is a kind of underactuated problem. Although 2SGCMGs can generate torques around all axes, they cannot generate torques around each axis independently. Therefore, control methods designed for a satellite using two reaction wheels cannot be applied to three-axis attitude maneuver problems for a satellite using 2SGCMGs. In this paper, for simplicity, maneuvers around the x- and z-axes are first considered, and then a maneuver around the y-axis due to the corning effect resulting from the maneuver around the x- and z-axes is considered. Since maneuvers around each axis are established by the proposed method, arbitrary attitude maneuvers can be achieved using 2SGCMGs. In addition, the maneuvering angles around the z- and x-axes, which are required in order to maneuver around the y-axis, are analytically determined, and the total time required for maneuvering around the y-axis is then analyzed numerically.     

一种使用磁力矩器管理双自旋航天器角动量的方法

针对一种新型采用双自旋设计进行对地遥感任务的航天器，提出了一种使用磁力矩器对旋转载荷角动量进行管理的方法。使用旋转载荷固连正交安装的三只磁力矩器，在旋转过程中连续输出周期性变化的磁矩，使自转一周过程中产生的合角动量方向仅沿自转轴方向，避免在其他两轴方向产生角动量累积。该方法在工程上可行性好，仿真结果表明旋转载荷角动量持续保持在期望值附近，不随时间累加。     

Distributed attitude synchronization of formation flying via consensus-based virtual structure

This paper presents a general framework for synchronized multiple spacecraft rotations via consensus-based virtual structure. In this framework, attitude control systems for formation spacecrafts and virtual structure are designed separately. Both parametric uncertainty and external disturbance are taken into account. A time-varying sliding mode control (TVSMC) algorithm is designed to improve the robustness of the actual attitude control system. As for the virtual attitude control system, a behavioral consensus algorithm is presented to accomplish the attitude maneuver of the entire formation and guarantee a consistent attitude among the local virtual structure counterparts during the attitude maneuver. A multiple virtual sub-structures (MVSSs) system is introduced to enhance current virtual structure scheme when large amounts of spacecrafts are involved in the formation. The attitude of spacecraft is represented by modified Rodrigues parameter (MRP) for its non-redundancy. Finally, a numerical simulation with three synchronization situations is employed to illustrate the effectiveness of the proposed strategy.     

Optimization of the Flight of a Spacecraft with a Solar Sail from the Earth to Mars with a Perturbation Maneuver near Venus

The trajectories of the fastest flight of a spacecraft (SC) with a solar sail from the Earth's sphere of activity to the Martian sphere of activity including the section of a perturbation maneuver near Venus are investigated. The planetary spheres of activity are assumed to be point-like; i.e., the maneuver section and the initial and final positions of the SC coincide with the corresponding positions of the planets. The initial velocity of the SC is assumed to be equal to the Earth's velocity, so that no leveling of the velocities of the SC and Mars in the final point of the flight is required. The perturbation maneuver is considered as a jump of the heliocentric velocity of the SC at the point of its contact with Venus, which does not change the magnitude of its Venus-centric velocity. The orbits of planets are assumed to be circular and coplanar; the SC trajectory lies at the plane of these orbits. The sail is planar with a specularly reflecting surface. The trajectories of optimum flights are determined as a result of solving the boundary value problem of the Pontryagin maximum principle. The families of solutions to this problem depending on the initial angular positions of Venus and Mars are constructed by the method of continuation over a parameter.