Evaluation of a satellite constellation for active debris removal

This paper analyzes an example of a three-dimensional constellation of debris removal satellites and proposes an effective constellation using a delta-V analysis that discusses the advisability of rendezvousing satellites with space debris. Lambert?s Equation was used to establish a means of analysis to construct a constellation of debris removal satellites, which has a limit of delta-V injection by evaluating the amount of space debris that can be rendezvoused by a certain number of removal satellite. Consequently, we determine a constellation of up to 38 removal satellites for debris removal, where the number of space debris rendezvoused by a single removal satellite is not more than 25, removing up to 584 pieces of debris total. Even if we prepare 38 removal satellites in their respective orbits, it is impossible to remove all of the space debris. Although many removal satellites, over 100 for example, can remove most of the space debris, this method is economically disproportionate. However, we can also see the removal satellites are distributed nearly evenly. Accordingly, we propose a practical two-stage strategy. The first stage is to implement emergent debris removal with the 38 removal satellites. When we find a very high probability of collision between a working satellite and space debris, one of the removal satellites in the constellation previously constructed in orbit initiates a maneuver of emergent debris removal. The second stage is a long-term space debris removal strategy to suppress the increase of space debris derived from collisions among the pieces of space debris. The constellation analyzed in this paper, which consists of the first 38 removal satellites, can remove half of the over 1000 dangerous space debris among others, and then the constellation increases the number of the following removal satellites in steps. At any rate, an adequate orbital configuration and constellation form is very important for both space debris removal and economic efficiency. Though the size of constellation of debris removal satellites would be small originally, such a constellation of satellites should be one of the initial constellations of removal satellites to ensure the safety of the future orbital environment.     

地基激光测距系统观测空间碎片进展

卫星激光测距作为地基光电望远镜系统重要技术应用,可直接精确测量空间碎片距离,提升碎片目标轨道监测精度。基于上海天文台60 cm口径激光测距望远镜,应用百赫兹重复率高功率激光器、高效率激光信号探测系统等,建立了空间碎片激光测距系统,实现了对距离500~2600 km、截面积0.3~20 m2的碎片目标观测,测距精度优于1 m,具备了碎片目标常规测量与应用能力。此外,开展了空间目标白天监视技术研究,实现了亮于6星等恒星的白天观测,并进行了望远镜局部指向误差模型分析,分析结果可应用于空间碎片白天激光观测的目标监视与引导。     

天基照相跟踪空间碎片批处理轨道确定研究

随着国内外天基观测空间碎片研究的展开,文章提出了利用跟踪卫星的CCD(Charge
Coupled Device)相机对空间碎片进行轨道探测的方法,首先建立了CCD照相观测模型和基于 照相观测 的空间碎片批处理轨道确定模型。通过对CCD相机底片归算方法的分析可知,利用
CCD相机所获得的观测数据与跟踪卫星的姿态无关,且其精度只与测量和坐标转换计算的精 度有关,在测量和计算中可获得较高的精度。分别对分布密度较高的低轨道和地球同步 轨道区域的空间碎片进行了定轨分析。仿真结果表明,定轨时采用两个跟踪弧段的照相数据 定轨精度大大高于一个弧段照相数据的定轨精度;跟踪卫星距离空间碎片越近,定轨精度越 高;低轨道空间碎片的定轨精度高于地球同步轨道上的空间碎片定轨精度。
     

利用等离子体加速器发射超高速 微小空间碎片的研究

文章介绍了国内外微小空间碎片超高速撞击地面模拟实验研究的现状,描述了国内等离子体微小空间碎片加速器的研制进展和初步实验结果,分析了该加速器在空间碎片防护研究工作中的应用。在初步调试阶段,在系统设计满负荷储能6%和35%的条件下,分别将100 ?m和200 ?m的玻璃微粒加速至5.5 km/s和9.3 km/s。利用该加速器可以模拟研究10～1 000 ?m的微小空间碎片对卫星功能材料的撞击损伤特性,可以加速模拟研究卫星关键部件或分系统在大量微小空间碎片撞击下的失效机理和失效模式,为卫星防护微小空间碎片的设计提供技术支持。该加速器还能为国内发展星载空间微小碎片探测仪器的设计和标定提供模拟实验条件。     

Behavior of tethered debris with flexible appendages

Active exploration of the space leads to growth of a near-Earth space pollution. The frequency of the registered collisions of space debris with functional satellites highly increased during last 10 years. As a rule a large space debris can be observed from the Earth and catalogued, then it is possible to avoid collision with the active spacecraft. However every large debris is a potential source of a numerous small debris particles. To reduce debris population in the near Earth space the large debris should be removed from working orbits. The active debris removal technique is considered that intend to use a tethered orbital transfer vehicle, or a space tug attached by a tether to the space debris. This paper focuses on the dynamics of the space debris with flexible appendages. Mathematical model of the system is derived using the Lagrange formalism. Several numerical examples are presented to illustrate the mutual influence of the oscillations of flexible appendages and the oscillations of a tether. It is shown that flexible appendages can have a significant influence on the attitude motion of the space debris and the safety of the transportation process.     

天基轻气炮发射清除低轨碎片方案及关键技术分析

文章分析了现有的空间碎片清除方式,并以800~1200 km低地球轨道高度上1~10 cm量级的空间碎片为清除目标,提出了天基轻气炮清除碎片的新方法。首先分析了轻气炮有效载荷在典型参数下的弹丸加速能力;之后根据将碎片降轨使其坠入大气层烧毁的设想,提出天基轻气炮共面清除碎片的方式,并选择轨道高度800 km的圆轨道作为碎片运行轨道进行可行性分析。计算表明,对半径10 cm、厚度1 cm的铝合金圆板碎片(质量211.95 g),使用初速1 km/s、重10 g的黏性弹丸可按任务方案达到清除效果。此外,计算出该参数弹丸对轨道高度800~1200 km的圆轨道上可清除的最大碎片质量为500~825 g,证明轻气炮弹丸对1~10 cm的碎片具有较强的清除能力。最后,分析了以轻气炮为有效载荷的航天器在完成清除碎片任务时的关键技术。     

基于稀疏信号表示的空间碎片成像

地基雷达一直是空间碎片监测的有力工具,研究如何利用它们对尺寸小于距离分辨率的目标进行成像具有重要意义。基于空间碎片通常会围绕它的主轴进行简单的自旋转运动这一事实,通过对目标回波模型的分析,本文提出了一种基于稀疏信号表示的空间碎片成像方法。该方法将成像问题转化为稀疏信号分解问题,首先以各个散射点的散射特性作为元素构建字典,然后通过采用现有的方法对单个距离单元横向回波数据的稀疏信号表示进行求解,最后对求解的结果重新排列以得到目标的二维高分辨图像。仿真实验结果表明了本方法的正确性。     

单次任务中主动清除多块碎片的仿真分析

针对国内外空间活动产生的碎片,文章采用多脉冲推力作用下的轨道机动仿真方法,在主要考虑总速度增量为2 km/s的约束条件下,计算碎片清除所需要的速度增量、任务时间以及清除个数。仿真结果表明,单次任务可以清除12块分布比较集中的碎片。研究结果可为我国今后空间碎片清扫任务的设计提供参考依据。     

多孔铝板高速撞击声发射定位方法

目前,声发射定位技术在空间碎片撞击航天器事件中的撞击源定位问题中得到了广泛研究。在定位算法上,声发射信号传播机理的复杂性表现为输入量的随机性;多次撞击的复杂性则表现为声发射信号传播的弯曲路径。文章针对多孔铝板声发射定位问题进行研究,采用伽马分布对声发射信号传播的弯曲效应进行建模,采用相对时间差方法对声源进行定位,最后通过仿真分析对所提供的模型与算法性能进行了数值演示。该方法可应用于空间碎片撞击航天器的撞击源定位与损伤评估。     

空间超高速撞击碎片云前端速度的预测模型

文章利用一组二级轻气炮发射2017-T4 铝质球形弹丸撞击6061-T6单层铝板的地面试验数据,通过选择适当的函数模型,采用多元函数拟合的方法,得到了碎片云前端速度与靶板厚度、弹丸直径和弹丸速度关系的三元二阶多项式模型。再用另外一组数据对该模型进行检验,验证了其对碎片云前端速度具有较好的预测效果。将以上两组数据同样用于建立“无量纲化”模型进行碎片云前端速度预测,并与前述多项式模型的预测结果进行比较发现,该多项式模型预测的方均根误差及平均相对误差均明显优于“无量纲化”模型。该多项式模型可用于预测空间碎片撞击航天器产生的碎片云的前端速度,有助于航天器的空间碎片防护设计。     

一种应用于空间碎片演化模型的碰撞概率算法

针对碰撞概率算法Cube模型参数影响空间碎片演化模型的仿真结果问题进行了深入分析与研究，并将原Cube算法进行改进，由此提出I-Cube模型。经过多次蒙特卡洛仿真结果验证，I-Cube模型对演化过程中空间碎片碰撞概率的计算更为准确合理，空间碎片长期演化模型的结果不再依赖于自身碰撞概率算法的相关参数，提高了空间碎片长期演化模型的稳定性与可信度。     

空间碎片现状与清理

分析了空间碎片的严峻现状和空间碎片的10个来源,指出轨道碰撞是产生碎片最多的因素;介绍了空间碎片的观测方法、原理和观测系统的概况,包括正在兴建的观测系统——“空间篱笆”。最后,根据不同轨道高度和空间碎片的数量与大小,提出空间碎片清理原则、要求和9种清理方法。     

Overview of the legal and policy challenges of orbital debris removal

Much attention has been paid recently to the issue of removing human-generated space debris from Earth orbit, especially following conclusions reached by both NASA and ESA that mitigating debris is not sufficient, that debris-on-debris and debris-on-active-satellite collisions will continue to generate new debris even without additional launches, and that some sort of active debris removal (ADR) is needed. Several techniques for ADR are technically plausible enough to merit further research and eventually operational testing. However, all ADR technologies present significant legal and policy challenges which will need to be addressed for debris removal to become viable. This paper summarizes the most promising techniques for removing space debris in both LEO and GEO, including electrodynamic tethers and ground- and space-based lasers. It then discusses several of the legal and policy challenges posed, including: lack of separate legal definitions for functional operational spacecraft and non-functional space debris; lack of international consensus on which types of space debris objects should be removed; sovereignty issues related to who is legally authorized to remove pieces of space debris; the need for transparency and confidence-building measures to reduce misperceptions of ADR as anti-satellite weapons; and intellectual property rights and liability with regard to ADR operations. Significant work on these issues must take place in parallel to the technical research and development of ADR techniques, and debris removal needs to be done in an environment of international collaboration and cooperation.     

Conceptualizing an economically,legally, and politically viable active debris removal option

It has become increasingly clear in recent years that the issue of space debris, particularly in low-Earth orbit, can no longer be ignored or simply mitigated. Orbital debris currently threatens safe space flight for both satellites and humans aboard the International Space Station. Additionally, orbital debris might impact Earth upon re-entry, endangering human lives and damaging the environment with toxic materials. In summary, orbital debris seriously jeopardizes the future not only of human presence in space, but also of human safety on Earth. While international efforts to mitigate the current situation and limit the creation of new debris are useful, recent studies predicting debris evolution have indicated that these will not be enough to ensure humanity?s access to and use of the near-Earth environment in the long-term. Rather, active debris removal (ADR) must be pursued if we are to continue benefiting from and conducting space activities. While the concept of ADR is not new, it has not yet been implemented. This is not just because of the technical feasibility of such a scheme, but also because of the host of economic, legal/regulatory, and political issues associated with debris remediation. The costs of ADR are not insignificant and, in today?s restrictive fiscal climate, are unlikely/to be covered by any single actor. Similarly, ADR concepts bring up many unresolved questions about liability, the protection of proprietary information, safety, and standards. In addition, because of the dual use nature of ADR technologies, any venture will necessarily require political considerations. Despite the many unanswered questions surrounding ADR, it is an endeavor worth pursuing if we are to continue relying on space activities for a variety of critical daily needs and services. Moreover, we cannot ignore the environmental implications that an unsustainable use of space will imply for life on Earth in the long run. This paper aims to explore some of these challenges and propose an economically, politically, and legally viable ADR option. Much like waste management on Earth, cleaning up space junk will likely lie somewhere between a public good and a private sector service. An international, cooperative, public-private partnership concept can address many of these issues and be economically sustainable, while also driving the creation of a proper set of regulations, standards and best practices.     

航天器反应式碎片规避动作规划方法

提出一种航天器反应式碎片规避动作规划方法，首先以扰动流体动态系统(IFDS)算法作为动作规划的基础算法，通过其中的总和扰动矩阵对航天器的轨道速度矢量进行修正，实现轨道机动规避；然后，建立基于双延迟深度确定性策略梯度(TD3)深度强化学习算法的反应式动作规划方法，通过TD3在线优化IFDS规划参数，实现对碎片群的“状态-动作”最优、快速规避决策。在此基础上，将优先级经验回放和渐进式学习策略引入该方法中，提升训练效率。最后，仿真结果表明，所提方法可使航天器安全规避多发、突发、动态且形状各异的空间碎片群，且具有较好的实时性。     

Debris area distribution of spacecraft under hypervelocity impact

Cross-sectional area is an important parameter for spacecraft breakup debris as it is the directly measured data in space observation. It is significant for observing and analysing the spacecraft breakup event to accurately modelling the area distribution of the breakup debris. In this paper, experimental study has been performed on debris area distribution characteristics of spacecraft under hypervelocity impact. The tests are carried out at the ballistic ranges of CARDC. Aluminium projectiles are launched to normally impact the simulated spacecrafts at about 3.0 km/s. The simulated spacecrafts are made up of aluminium plates, filled with some simulated electronics boxes, each of which was installed with a circuit board. “Soft-catch” devices are used to recover the breakup fragments. The test results show that: 1) the relationship between the cross-sectional area and the characteristic length of debris, which can be obtained in the logarithmic coordinates by linear fitting, represents the debris shape characteristic in a certain extent; 2) the area-to-mass ratios of fragments show normal distributions in the logarithmic coordinates; 3) debris made of different materials can be distinguished by different peaks on the distribution curves; 4) the area-to-mass ratio distributions can be expressed by a linear superimposition of several normal functions which represent the main materials of the spacecraft.     

A space based radar on a micro-satellite for in-situ detection of small orbital debris

The increase in the number of satellites in the Near Earth Orbit is exponential. The consequent increase in pollution of the orbital environment is of growing concern to the international community. There are currently only two observation systems available for measurement of orbital debris. Ground based radar and telescopes can detect objects larger than about 7 cm. Passive space based systems provide an accurate statistical estimation of flux for debris smaller than about 0.1 mm in size. Consequently, there is no way of obtaining information about debris in the millimeter-size range. Considering that the relative speed between objects in space is commonly in the km/s range, millimeter sized debris carry enough energy to be deadly to astronauts or to totally destroy the functioning of any satellite. Then National space agencies have recommended launching orbital spacecraft carrying debris detection experiments for gaining a better understanding of small debris.CNES (the French Space Agency) is developing a new family of micro-satellites, that will make possible to put into orbit a totally new system of radar that could measure in-situ flux of debris. We present results of this system analysis, which would cumulate the advantages of both ground-based radar and in orbit passive experiments.The proposed method for detection is quite original and allows the radar to act like a band-pass filter with respect to the debris diameter. The optimum frequency is shown to be in the Ka-band. Two points are critical in the definition of the radar: the average power available and the false alarm probability in the detection criterion. Therefore, we present a special receiver chain in order to optimize the signal-to-noise ratio. The estimate of the radial velocity through Doppler frequency measurement may be used to discriminate orbital debris from meteoroids. This system could be built today using an existing Continuous Wave amplifier. Several hundreds of objects per year could be detected yielding an accurate statistical estimation.The orbital debris radar would be a major contribution to our knowledge of millimeter sized debris. This experiment would contribute to making the current models more accurate at all inclinations. The micro-satellite concept would make the orbital debris radar mission cheap enough for considering a constellation of such satellites.     

激光驱动典型几何形状碎片运动建模研究

在以往的激光烧蚀驱动移除空间碎片研究中,均假设激光光束覆盖整个所关注的空间碎片。文章提出了焦斑式激光辐照下球体、圆柱体和立方体碎片反喷冲量和运动姿态的计算模型,研究了激光辐照在3种形状碎片不同位置处所产生的反喷冲量和姿态变化规律。结果表明:碎片运动规律与碎片几何形状和激光作用位置有关,当反喷冲量过质心时,碎片获得平动冲量;不过质心时,则会改变碎片的角速度或姿态。研究结果可为激光移除空间碎片研究提供理论参考。     

空间碎片捕获过程动力学建模综述

文章分析了绳系捕获系统建模及精细化、捕获系统低阶鲁棒控制器和捕获过程半物理仿真的研究现状,并提出了有关空间碎片捕获过程动力学建模及仿真验证领域待解决的一些基本问题,为研制空间碎片回收系统奠定了理论基础。     

A Technique for Estimating the Space Debris Density from the Data of Onboard Recording Systems

A three-dimensional mathematical model and a program complex for modeling the external effect of small-sized space debris particles on a spacecraft are developed. On the basis of the rectangular contributions method a new technique is developed for restoring the density of small-sized space debris from a small number of recorded debris collisions with recording sensors. From the form of the density function the total number of points having reached the spacecraft surface is restored. The comparative results of modeling are presented.