Particle orbits near a neutral point

We study particle trajectories at an X-type neutral point, in the presence of a time-varying electric field. We present consequent distributions of electrons and protons, and suggest that a disturbance propagating through a neutral point may damp by particle acceleration.     

Close relative motion on distant retrograde orbits

Distant Retrograde Orbits (DROs) in the Earth-Moon system have great potential to support varieties of missions due to the favorable stability and orbital positions. Thus, the close relative motion on DROs should be analyzed to design formations to assist or extend the DRO missions. However, as the reference DROs are obtained through numerical methods, the close relative motions on DROs are non-analytical, which severely limits the design of relative trajectories. In this paper, a novel approach is proposed to construct the analytical solution of bounded close relative motion on DROs. The linear dynamics of relative motion on DRO is established at first. The preliminary forms of the general solutions are obtained based on the Floquet theory. And the general solutions are classified as different modes depending on their periodic components. A new parameterization is applied to each mode, which allows us to explore the geometries of quasi-periodic modes in detail. In each mode, the solutions are integrated as a uniform expression and their periodic components are expanded as truncated Fourier series. In this way, the analytical bounded relative motion on DRO is obtained. Based on the analytical expression, the characteristics of different modes are comprehensively analyzed. The natural periodic mode is always located on the single side of the target spacecraft on DRO and is appropriate to be the parking orbits of the rendezvous and docking. On the basis of quasi-periodic modes, quasi-elliptical fly-around relative trajectories are designed with the assistance of only two impulses per period. The fly-around formation can support observations to targets on DRO from multiple viewing angles. And the fly-around formation is validated in a more practical ephemeris model.     

月球导航星座轨道的地球GNSS可见性评估

随着月球探索进入一个新的时代,为确保未来月球任务的实时高精度定位,大幅提高登月航天器的自主性,且减少对地球基站的依赖,选取合适的轨道构建月球导航星座,并且实现月球导航星座与地球GNSS的通信链路同步尤为重要。为评估月球导航星座轨道中卫星接收GNSS信号的性能,首先对椭圆形月球冻结轨道(ELFO)、近直线晕轨道(NRHO)、顺行圆形轨道(PCO)和低月球轨道(LLO)4种轨道进行仿真。然后基于天线方向图等指标仿真了GNSS卫星信号,并依据主旁瓣波束宽度和载噪比等仿真结果评估了4种不同轨道卫星对GNSS的可见性。结果表明,NRHO和ELFO对GNSS星座有较好的可视效果,最高可见时间占比达99.57%,保障了绝大部分时间内能够稳定接收GNSS信号,有助于实现月球导航星座轨道卫星的轨道和时钟校正,并保证轨道的定位性能。     

Line-of-sight-pointing for satellites in high altitude inclined elliptic orbits

With a growing demand for space communications and resulting overcrowding of geostationary orbit (GEO), the importance of high altitude inclined elliptic orbits is gaining impetus. However, the satellites in these orbits suffer from a severe problem of apparent periodic angular drift around their line-of-sight. This paper addresses this problem and proposes a cost effective method based on tether to continually tilt the satellites in order to compensate for longitudinal and lateral drifts relative to the ground station. The proposed system comprises two satellites connected by a flexible tether at a point on each satellite with offsets. A control strategy is developed for tether offset variations that ensures judiciously controlled changes in the satellite orientations. The numerical simulation of the governing nonlinear equations of motion establishes the feasibility of the concept. A high degree of line-of-sight pointing of dual satellites as well as the simplicity of the proposed control mechanism makes the concept particularly attractive for future space applications.     

Autonomous navigation to quasi-periodic orbits near translunar Ubration points

Libration-point missions have been very useful and successful. Due to the unstable natures of most of these orbits, the long-time stationkeeping demands frequent maneuvers and precise orbit determinations. Earth-based tracking will have to undertake much more responsibilities with the increasing number of libration missions. An autonomous navigation system could offer a better way to decrease the need for Earth-based tracking. Nevertheless, when an autonomous navigation system is applied, there are three important factors affecting autonomous navigation accuracy, i.e., the accuracy of initial conditions, the accuracy of measurements, and the accuracy of onboard dynamics for propagation. This paper focuses on analyzing the influence from the third factor and finding an appropriate navigation dynamics, which can satisfy the requirement of estimation accuracy but not cause too much burden for onboard computation. When considering the restricted three-body model and the bicircular restricted four-body model as navigation dynamics, the astrin- gency is not shown during the simulations. Meanwhile, when considering the influences of the Sun＇s direct and indirect perturbations and the eccentricity of the Moon＇s orbit, a new navigation dynamic model with the standard ephemerides is proposed. The simulation shows the feasibility of the proposed model.     

Autonomous navigation to quasi-periodic orbits near translunar libration points

Libration-point missions have been very useful and successful. Due to the unstable nat-ures of most of these orbits, the long-time stationkeeping demands frequent maneuvers and precise orbit determinat...     

高超声速临近空间飞行器非开普勒轨道研究

以高超声速临近空间飞行器非开普勒轨道弹跳飞行为研究对象,论证了高超声速临近空间飞行器飞行轨道属于非开普勒轨道的研究范畴.首先给出了非开普勒轨道机动巡航段、再人段和再入瞬间的动力学方程;其次研究了再入瞬间高超声速临近空间飞行器的位置矢量求解问题,提出弹跳系数的概念;最后进行了仿真分析.仿真结果表明,非开普勒轨道动力学方程...     

地月系统循环轨道初步设计与特性分析

基于平面圆型限制性三体问题(CR3BP)模型,根据轨道弧以及顺行和逆行特征采用圆锥曲线拼接法设计了5类地月系统周期轨道。以地月系统循环轨道的工程约束为出发点,从轨道周期、近地点高度、近月点高度、交会对接速度、轨道稳定性等方面分析了这5类周期轨道的特性,从中选择了适合地月系统循环轨道任务方案的周期轨道,并对周期轨道进行了优化。该研究为我国未来载人登月工程提供了一种新的思路与理论技术支持。     

Optimal impulsive rendezvous for highly elliptical orbits using linear primer vector theory

In this paper, minimum-fuel rendezvous is investigated for the case in which the reference orbit is highly elliptic. To this end, the well-known Tschauner-Hempel equations are used to describe the relative motions between rendezvous spacecraft and the target. Lawden’s primer vector theory is then applied on this linear but time-varying system. The analytical solution of the required primer vector for this problem is then derived by using a recently developed method. For the existing non-optimal ...     

混合小推力航天器日心悬浮轨道保持控制

针对太阳帆、太阳电混合推进航天器日心悬浮轨道保持控制问题进行了研究。为解决基于局部线性化模型设计轨道保持控制器时存在的控制精度不高、模型精确性过度依赖等问题,应用自抗扰控制(ADRC)技术设计了轨道保持控制器。首先,采用圆形限制性三体问题(CRTBP)模型推导了混合小推力航天器日心悬浮轨道动力学方程;然后,考虑系统模型不确定性和外部扰动,提出了一种基于扰动估计和补偿的轨道保持控制方法;最后,数值仿真表明存在系统模型不确定性、初始入轨误差及地球轨道偏心率扰动等因素的情况下,所设计的控制器仅需很小的速度增量即可实现高精度的日心悬浮轨道保持控制。     

Pattern control for large-scale spacecraft swarms in elliptic orbits via density fields

Space swarms, enabled by the miniaturization of spacecraft, have the potential capability to lower costs, increase efficiencies, and broaden the horizons of space missions. The formation control problem of large-scale spacecraft swarms flying around an elliptic orbit is considered. The objective is to drive the entire formation to produce a specified spatial pattern. The relative motion between agents becomes complicated as the number of agents increases. Hence, a density-based method is adopted...     

Nonlinear dynamics and station-keeping control of a rotating tethered satellite system in halo orbits

The dynamics of a rotating tethered satellite system （TSS） in the vicinity of libration points are highly nonlinear and inherently unstable. In order to fulfill the station-keep control of the rotating TSS along halo orbits, a nonlinear output tracking control scheme based on the θ- D technique is proposed. Compared with the popular time-variant linear quadratic regulator （LQR） controller, this approach overcomes some limitations such as on-line computations of the algebraic Riccati equation. Besides, the obtained nonlinear suboptimal controller is in a closed form and easy to implement. Numerical simulations show that the TTS trajectories track the periodic reference orbit with low energy consumption in the presence of both tether and initial injection errors. The axis of rotation can keep pointing to an inertial specific object to fulfill an observation mission. In addition, the thrusts required by the controller are in an acceptable range and can be implemented through some low-thrust propulsion devices.     

An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincare′sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L_1, L_2, and L_3 points as well as Lissajous orbits for L_1 and L_2 points in the EarthMoon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.