Geostationary station acquisition maneuvers for the “CS” spin-stabilized communication satellite

Attitude reorientation maneuvers were conducted three times on the transfer orbit to obtain the apogee kick motor firing attitude of the Medium Capacity Geostationary Communication Satellite for Experimental Purposes (CS) on the third apogee. After two attitude and five orbit maneuvers on the drift orbit, the CS attained geostationary orbit with station keeping accuracy of ±0.1° seven days after launch.     

Optimal low-thrust transfers between close near-circular coplanar orbits

Four types of optimal solutions are demonstrated to exist for transfers (time of flight is not fixed) between close near-circular coplanar orbits. One solution is realized with the help of fixed orientation of the propulsion system (PS) along a transversal in the orbital coordinate system. Another is reached at fixed orientation of the PS in the inertial coordinate system. The third and fourth types of solutions change the PS orientation in the process of executing the maneuver. Regions of existence are established for all types of solutions, and algorithms for determination of parameters of these maneuvers are suggested. The algorithms were used to calculate parameters of the maneuvers of transfer from a launching orbit to a working Sun-synchronous orbit, and to calculate the maneuvers of supporting the parameters of such an orbit in a specified range.     

不同月球借力约束下的地月Halo轨道转移轨道设计

针对地月系L2点不同任务需求下的低耗能转移轨道设计问题,基于不变流形理论与混合优化技术,深入研究了不同月球借力约束与不同幅值Halo轨道的入轨点（简称HOI点）对转移轨道飞行时间与燃料消耗的影响,给出了HOI点选择策略。首先结合任务要求并考虑月球引力影响,在月球借力点施加不同约束条件,通过微分修正算法调整Halo轨道的稳定流形,设计月球到Halo轨道的转移轨道。采用遗传算法与微分修正算法相结合的混合优化策略,在同时考虑地球停泊轨道高度、倾角、升交点赤经与航迹角等多约束条件下,对燃料最优的地月转移轨道进行研究。最后,分析月球借力高度、借力方位角和不同HOI点对平动点转移轨道飞行时间与燃耗变化量的影响,对于考虑月球借力的地月平动点转移轨道设计与应用具有重要的参考价值。     

A simplified approach to uncertainty quantification for orbits in impulsive deflection scenarios

For the majority of near-Earth Asteroid (NEA) impact scenarios, optimal deflection strategies use a massive impactor or a nuclear explosive, either of which produce an impulsive change to the orbit of the object. However, uncertainties regarding the object composition and the efficiency of the deflection event lead to a non-negligible uncertainty in the deflection delta-velocity. Propagating this uncertainty through the resulting orbit will create a positional uncertainty envelope at the original impact epoch. We calculate a simplified analytic evolution for impulsively deflected NEAs and perform a full propagation of uncertainties that is nonlinear in the deflection delta-velocity vector. This provides an understanding of both the optimal deflection velocities needed for a given scenario, as well as the resulting positional uncertainty and corresponding residual impact probability. Confidence of a successful deflection attempt as a function of launch opportunities is also discussed for a specific case.     

空间交会调相综合变轨优化

基于近圆轨道偏差线性方程研究了摄动交会调相综合变轨问题,建立了综合变轨两层非线性优化模型:上层问题以变轨点纬度幅角为优化变量,下层问题以脉冲向量为优化变量.为了快速获得上层问题全局优化性较好的摄动解,采用了并行模拟退火算法与序列二次规划算法相结合的混合策略;下层问题使用基于可行域最速下降的线性迭代方法求解.采用一个两天近地轨道调相问题测试了本文的综合变轨求解策略,并将综合变轨与特殊点变轨、综合变轨混合优化与遗传算法优化进行了比较.结果表明,建立的两层优化模型是有效的,本文的求解策略有着良好的全局收敛性和较高的收敛效率,综合变轨相对于特殊点变轨可以显著地节省燃料.     

基于递推二次规划算法的燃料最优有限推力远地点变轨

从工程实用的角度分析了静止通信卫星远地点变轨优化问题，定义了目标函数、约束条件及其相应的优化参数，根据问题特点，应用递推二次规划算法（RQP）进行变轨参数寻优，并用计算实例说明了此算法的有效性。     

Approximate solutions to minimax optimal control problems for aeroassisted orbital transfer

This paper considers minimax problems of optimal control arising in the study of aeroassisted orbital transfer. The maneuver considered involves the coplanar transfer from a high planetary orbit to a low planetary orbit. An example is the HEO-to-LEO transfer of a spacecraft, where HEO denotes high Earth orbit and LEO denotes low Earth orbit. In particular, HEO can be GEO, a geosynchronous Earth orbit.The basic idea is to employ the hybrid combination of propulsive maneuvers in space and aerodynamic maneuvers in the sensible atmosphere. Hence, this type of flight is also called synergetic space flight. With reference to the atmospheric part of the maneuver, trajectory control is achieved by means of lift modulation. The presence of upper and lower bounds on the lift coefficient is considered.The following minimax problems of optimal control are investigated: (i) minimize the peak heating rate, problem P1; and (ii) minimize the peak dynamic pressure, problem P2. It is shown that problems P1 and P2 are approximately equivalent to the following minimax problem of optimal control: (iii) minimize the peak altitude drop occurring in the atmospheric portion of the trajectory, problem P3.Problems P1–P3 are Chebyshev problems of optimal control, which can be converted into Bolza problems by suitable transformations. However, the need for these transformations can be bypassed if one reformulates problem P3 as a two-subarc problem of optimal control, in which the first subarc connects the initial point and the point where the path inclination is zero, and the second subarc connects the point where the path inclination is zero and the final point: (iv) minimize the altitude drop achieved at the point of junction between the first subarc and the second subarc, problem P4. Note that problem P4 is a Bolza problem of optimal control.Numerical solutions for problems P1–P4 are obtained by means of the sequential gradient-restoration algorithm for optimal control problems. Numerical examples are presented, and their engineering implications are discussed. In particular, it is shown that, from an engineering point of view, it is desirable to solve problem P3 or P4, rather than problems P1 and P2.     

静止轨道卫星远程交会策略设计

针对静止轨道卫星在轨服务任务,提出一种4脉冲远程快速交会规划方法,可在5圈内完成远程交会。调相策略设计中,通过对基于近圆偏差方程的变轨规划策略进行改进,设计得到了3脉冲调相方案。首先,固定第1和第2调相脉冲执行位置,对3个调相脉冲的速度增量及第3调相脉冲的执行位置进行设计优化;再固定第1调相脉冲,对第2和第3调相脉冲的速度增量和执行位置进行再次优化。轨道面调整设计中,通过求解轨道面节线位置,采用单一法向脉冲进行轨道面修正。数学仿真校验了所提出方法的有效性。     

GEO卫星寿命末期离轨控制策略

根据机构间空间碎片协调委员会(IADC)1997年的建议,提出了一种采用多次两脉冲霍曼变轨对寿命末期地球同步轨道(GEO)卫星实施离轨控制的策略。分析了剩余燃料充足时变轨中燃料消耗的计算,以及剩余燃料不足时应采用一次两脉冲霍曼变轨使卫星尽可能离开GEO的对策。仿真结果表明,该离轨控制策略可行。     

Attitude controller design for orbital target tracking of geostationary satellite under avoidance constraint

A coordinated attitude control problem is addressed for which a geostationary satellite should maintain communication with a ground station while simultaneously tracking space objects. The coordinated attitude control discussed in this study is related to the attitude maneuvers of a tracking satellite and to the orbital motion of targets placed in orbits of lower altitudes. Modified Rodrigues parameters are employed to avoid singularities even in the presence of large attitude maneuvers. The initial attitude error is calculated based upon an arbitrary initial configuration for the target tracking, so that a sequential tracking from one to another target can be achieved easily. Additionally, avoidance maneuvers aimed at protecting sensitive onboard sensors from the Sun and the Moon are designed using the so-called navigation function. When the avoidance areas are on the transient path due to the coordinated attitude maneuver command, the maneuver is performed with no violation against the given constraint areas by adopting the navigation function.     

卫星编队的多冲量轨道机动路径规划方法

基于多冲量轨道机动控制,研究应用微小推力发动机来实现卫星编队轨道机动控制的方法。首先简单介绍轨道机动控制的多冲量次优解的求解方法,并把此方法的改进算法应用于卫星编队的整体轨道机动控制;为降低单次冲量值,应用小推力发动机实现轨道机动,提出了卫星编队多冲量轨道机动的路径规划方法,这种方法把一个多冲量轨道机动过程分成多个来实现;最后,数值仿真结果表明:该方法简便、实用,可以解决单次冲量值过大而不易实现的问题,同时对于轨道摄动因素的影响具有鲁棒性。     

空间交会对接寻的段三次变轨策略分析

根据第一次变轨采用地面或自主引导,以及后两次变轨策略,提出了采用Hohmann变轨与CW双脉冲最优变轨、CW双脉冲变轨 中途一次修正,以及CW三脉冲最优变轨的空间交会对接寻的段三次变轨方案.仿真分析了方案中Hohmann变轨椭圆转移轨道远地点高度、CW双脉冲转移时间、总转移时间或第二次变轨时间与总特征速度的关系,并给出寻的段变轨策略建议.     

对GEO卫星照相的HEO卫星变轨策略研究

为对地球同步轨道卫星近距离光学照相,设计了大椭圆任务轨道.在考虑地球扁率J2的动力学模型下,研究了大椭圆轨道变轨策略,提出了轨道设计方案,并进行了仿真计算.基于STK软件对变轨方案进行了仿真验证,结果表明所提出的轨道设计方案能够满足对地球同步轨道卫星近距离光学照相要求.     

轨道机动的时间-能量综合最优控制

围绕航天器快速精确轨道机动问题,探讨在持续小推力作用下,航天器轨道机动中时 间和能量综合最优控制的技术和方法。基于Pontryagin最小(大)值原理,针对目标轨道为平 面和空间椭圆的情况,推导了时间-能量综合最优控制的Hamilton正则方程组、终端条件 、横截条件和最优控制的表达式,应用数值方法求解正则微分方程组的两点边值问题,得到 了最优控制的数值解,包括最小时间、最小能量、最优轨道、最优控制时变曲线和最优反馈 控制曲线等,实现轨道机动最优控制的精确数值模拟。从数值结果的对比分析中得出了一些 有意义的结论,可供工程实际参考。
     

CHANG'E-2 lunar escape maneuvers to the Sun–Earth L2 libration point mission

This paper addresses lunar escape maneuvers of the first Chinese Sun–Earth L2 libration point mission by the CHANG'E-2 satellite, which is also the world's first satellite to reach the L2 point from a lunar orbit. The lunar escape maneuvers are heavily constrained by the remaining propellant and the condition of telemetry, track and command, among others. First, these constraints are analyzed and summarized to design a target L2 Lissajous orbit and an initial transfer trajectory. Second, the maneuver mathematical models are studied. The multilevel maneuver schemes which consist of phasing maneuvers and a final lunar escape maneuver are designed for actual operations. Based on the scheme analysis and comparison, the 2-maneuver scheme with a 5.3-h-period phasing orbit is ultimately selected. Finally, the mission status based on the scheme is presented and the control operation results are discussed in detail. The methodology in this paper is especially beneficial and applicable to a future multi-mission instance in the deep space exploration.     

基于测距观测的静地卫星定轨精度分析

在卫星动力法定轨的协方差分析基础上,提出了一种针对地球静止轨道(GEO)卫星的简化定轨精度分析方法。根据GEO卫星的线性化状态转移方程,通过设定地面跟踪网坐标和卫星星下点经度计算叠加矩阵,由观测弧长和采样间隔直接计算定轨精度评定公式中的主要部分。公式扩展后,能比较各种系统误差源对定轨精度的影响,并将影响较大的作为附加参数纳入估计过程并重新评价定轨精度。用该法对10 m定轨精度的测距跟踪网优化设计和测距偏差对定轨精度的影响特性进行分析的结果表明,测量系统中的系统性误差可能以近20的放大倍率传播到卫星沿迹方向和法向,且不能通过自校准测距常值偏差提高定轨精度。     

定时定点月面着陆全程轨道控制设计

针对定时定点月面着陆的目标要求,提出了全程轨道控制设计方法。进行了包括地月转移、近月制动、环月降轨和动力下降的全程轨道控制的分段设计和联合规划,实现在入轨轨道偏差条件下的定时定点月面着陆。分别构建了中途修正、近月制动、环月降轨三段轨道控制的规划变量和目标参数;根据轨道倾角建立了动力下降点与着陆点的匹配转换关系。设计了中途修正、近月制动、环月降轨、动力下降的全程轨道控制策略的联合规划。建立了着陆位置偏差与轨道倾角偏差、着陆时间偏差与轨道半长轴偏差的修正关系,修正设计了中途修正目标倾角和近月制动目标半长轴。仿真算例表明,在入轨偏差轨道条件下,保证了中途修正后的飞行轨道与标称轨道基本一致,实现了与标称状态基本一致的定时定点月面着陆。可应用于月球着陆、月球采样返回以及载人登月等实施月面定时定点着陆任务的轨道设计和控制实施。     

卫星双向时间频率传递中的Sagnac效应

 结合卫星双向时间频率传递技术,提出了在卫星运动情况下Sagnac效应解决方案。卫星双向时间频率传递技术是基于地球同步卫星进行的。地球同步卫星在各种摄动力的影响下,相对于地面上的某点不是绝对静止的,而是作小幅度日周期性运动。 Sagnac 效应与卫星和地面观测站的位置密切相关,卫星的运动直接导致了 Sagnac 效应也具有日周期变化的特征。使用高精度实测卫星轨道数据对 Sagnac 效应进行计算分析,结果表明：由卫星运动引起的Sagnac效应值具有与卫星运动一致的周日变化规律特征,大小达到几百皮秒的量级,与传统的将同步卫星作为静止点处理相比,提高了Sagnac效应误差的修正精度。该方案对于各种高精度卫星时间比对技术和卫星导航等领域具有重要的应用价值。     

形成三星星座的小推力变轨的时间最短控制

在研究和发展星座技术中，星座的发射是一项关键技术。本文针对形成三星星座，利用最优控制中的极小值原理，解算了用恒值、连接工作、牛顿级小推力变轨的时间最短控制问题。文中建立了最优小推力变轨的数学模型，求得了最优变轨的解析解，并通过牛顿下山法求解了三星星座变轨的小推力工作最优时间、最优方向和最优变轨轨迹。最后对星座变轨小推力最优控制工程实现的途径进行了探讨。为工程应用和研究提供参考。     

中国巴西地球资源卫星的轨道捕获和轨迹交会控制

中巴地球资源卫星一号(CBERS-1)是中国和巴西合作研制的第一颗运行在太阳同步轨道上的地球资源卫星.CBERS-1于1999年10月14日由中国自行研制的长征运载工具按预定计划准时发射,进入设计轨道,随后通过轨道捕获、星下点轨迹控制和多次轨道保持机动等一系列轨道测控操作,该卫星已按遥感用户的要求正常运行在高精度的太阳同步、回归冻结轨道上.本文简要阐明CBERS-1轨道控制系统的任务目标、系统结构、轨道控制策略、控制性能、飞行软件和在轨操作以及飞行结果.