低地球轨道航天器的轨道碎片环境

文章介绍了一种适用于低地球轨道航天器的轨道碎片环境模型。对建立这个模型的数据源及设计标准进行了详细的叙述。并评价这个数据模型对未来空间环境的预测和测量中的不确定性。     

Continuum Model for Space Debris Evolution with Account of Collisions and Orbital Breakups

The paper discusses the mathematical modeling of long-term orbital debris evolution taking into account mutual collisions of space debris particles of different sizes. Investigations and long-term forecasts of orbital debris environment evolution in low Earth orbits are essential for future space mission hazard evaluation and for adopting rational space policies and mitigation measures. The paper introduces a new approach to space debris evolution mathematical modeling based on continuum mechanics incorporating partial differential equations. This is an alternative to the traditional approaches of celestial mechanics incorporating ordinary differential equations to model fragments evolution. The continuum approach to orbital debris evolution modeling has essential advantages for describing the evolution of a large number of particles, because it replaces the traditional tracking of space objects by modeling the evolution of their density of distribution.     

基于计算机的低地球轨道航天器设计与观测的轨道碎片环境模型

文章介绍了一个半经验的基于计算机的轨道碎片模型。该模型将轨道环境简化为6个不同的倾角带,每个倾角带都有各自的半长轴和近地点分布及根据不同的碎片来源有其各自的尺寸分布。用碰撞概率方程将轨道碎片分布与航天器上的碎片通量或通过地面探测器视角的通量联系起来。经比较,碎片的半长轴、近地点和倾角分布与美国空间司令部大于10cm的碎片目录是一致的。对于较小的碎片,这些分布与地面望远镜、“干草堆”雷达的测量结果一致,同时也与LDEF卫星和航天飞机的测量结果一致。     

Passive optical detection of submillimeter and millimeter size space debris in low Earth orbit

Understanding of the space debris environment and accuracy of its observation-validated models are essential for optimal design and safe operation of satellite systems. Existing ground-based optical telescopes and radars are not capable of observing debris smaller than several millimeters in size. A new experimental and instrumental approach – the space-based Local Orbital Debris Environment (LODE) detector – aims at in situ measuring of debris with sizes from 0.2–10 mm near the satellite orbit. The LODE concept relies on a passive optical photon-counting time-tagging imaging system detecting solar photons (in the visible spectral range) reflected by debris crossing the sensor field of view. In contrast, prior feasibility studies of space-based optical sensors considered frame detectors in the focal plane. The article describes the new experimental concept, discusses top-level system parameters and design tradeoffs, outlines an approach to identifying and extracting rare debris detection events from the background, and presents an example of performance characteristics of a LODE sensor with a 6-cm diameter aperture. The article concludes with a discussion of possible sensor applications on satellites.     

空间碎片环境的长期演化建模方法

针对空间碎片环境的长期演化问题，从宏观和微观两个方面，分别构建了碎片环境的整体演化模型和数值演化计算模型，并在此基础上研究了不同条件下碎片环境的长期演化分布特点，分析了碎片环境的稳定性和主要影响因素。低地球轨道碎片环境在未来200年内的演化结果表明，空间目标的相互碰撞解体，是空间碎片不断增加的主要因素；即使停止一切航天发射活动，空间碎片的数量仍在不断增加，表明低地球轨道空间碎片规模已经超越稳定临界点；进一步的发射活动会增强空间碎片环境演化的不稳定性，加剧“碰撞-目标解体-碰撞”反馈连锁碰撞效应。     

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.     

低地轨道空间碎片环境建模与分析

根据“箱中粒子”（PIB）的模型和气体分子运动学理论，建立了估算低地轨道（LEO）上空间碎片总数的微分方程，参考国外文献提供的有关空间碎片统计数据和初始条件，求解方程，并分析了空间碎片环境的短期和长期变化趋势。     

美国DMSP-F13卫星解体事件对空间碎片环境影响分析

2015 年2 月3 日,美国DMSP-F13 卫星发生爆炸解体,产生了百余块编目空间碎片。该卫星解体碎片主要分布在轨道高度600～1200 km 范围内,其中近50%的编目碎片在轨寿命将超过20 年,会对未来空间碎片环境构成长期影响。结合我国空间碎片环境工程模型SDEEM 对DMSP-F13 解体事件的分析结果显示,此次解体事件造成邻近轨道区域内空间碎片空间密度增加,对该区域航天器安全运行产生影响。     

基于PDW的雷达信号环境建模与仿真研究

在雷达电磁环境仿真系统中,需要模拟生成描述雷达信号环境的脉冲描述字(PDW)数据,以引导系统生成干扰信号环境数据。采用PDW对雷达信号环境进行描述,结合雷达信号环境的PDW数学模型,给出了基于PDW的模型框架,并设计了雷达电磁环境仿真流程。最后归纳了生成PDW数据的处理方法,给出了载频、重频和脉宽的模拟生成示例。     

天基毫米波空间碎片观测雷达系统分析与设计

介绍了天基毫米波空间碎片观测雷达的难点和关键技术,提出了解决问题的思路。将同时多波束天线引入到高速目标探测中,分析了雷达天线和发射机的形式,采用多频信号处理方法解决多普勒模糊问题。给出了空间站载天基毫米波雷达的系统参数,分析了测距、测角、测速精度。在天球坐标系下建立了雷达平台坐标系,通过速度分解和坐标转换,结合雷达成像的方法分析了雷达和碎片间的相对速度、位置的几何关系,在此基础上对空间站载天基毫米波雷达系统空间碎片轨道预测性能进行了分析。
     

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.     

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。     

空间碎片环境与航天器可靠性

文章介绍了空间碎片环境、空间碎片对航天器可靠性的影响、空间碎片地面模拟试验技术,以及空间碎片的防护技术。     

天基雷达观测空间碎片的研究现状及关键技术分析

文章针对空间碎片观测中尚未得到确切观测数据的危险碎片的观测需求,综合分析了国内外的研究水平和现状,对天基雷达观测的需求和关键技术开展研究,提出了天基空间碎片观测有三个关键技术需要解决,即如何确定雷达工作体制和平台轨道以提高观测效率,如何有效探测尺度只有几个毫米-几个厘米的细小目标,如何对观测到的空间碎片进行分类和精确定轨。     

交会对接微波雷达近距离高精度测角算法研究

近距离测角与远距离测角的主要区别是被测目标位于雷达天线阵近场而非远场,目前的测角算法均基于远场目标假设,在交会对接近距离测角中难以满足精度要求。针对交会对接微波雷达近距离高精度测角问题,提出了一种基于相差复矢量匹配的测角算法。分析了测角信号空间传播几何模型,定义了相差复矢量及表征相差复矢量匹配程度的测角目标函数,建立了求解方位角与俯仰角的非线性规划算法模型,给出了算法的输入条件和执行步骤。仿真结果和微波暗室实测结果验证了该算法的有效性。     

美俄卫星太空碰撞事件及对航天活动的影响

文章介绍了最近发生的美俄卫星太空碰撞重大事件;深入剖析了导致碰撞的可能原因;详细评述了卫星碰撞事件对空间碎片环境的严重恶化和对人类航天活动的影响;分析了碰撞事件对空间碎片研究带来的新困难和新挑战。文章指出,从航天器安全角度来讲,减缓、控制乃至清除空间碎片是全人类共同的责任和唯一选择。     

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。     

空间柔性绳网多碎片捕获动力学研究

随着空间碎片数量的增加，其对近地轨道中的在轨卫星产生越来越严重的威胁，空间多碎片的高效清理在近年来也成为了学界关注的热点问题。针对柔性绳网在一次任务中同时对多个碎片进行捕获清理的问题，建立了柔性绳网的动力学模型和与碎片接触动力学模型，并对捕获过程中柔性绳网与碎片的运动进行了仿真模拟。针对绳网的最大拉伸力、质量块位移速度等变量，深入分析捕获过程中绳网与碎片的运动特性。数值仿真结果表明，在一次任务中，柔性绳网可以对多个旋转空间碎片进行捕获，并实现稳定的包裹缠绕，展示了柔性绳网良好的捕获能力。     

A fast numerical approach for Whipple shield ballistic limit analysis

Whipple shield is widely used on manned spacecraft, numerical simulation is an important way for obtaining the ballistic limit. The large population of particles and the large space span of Whipple shield simulation model restrict the computational efficiency. A fast numerical approach is presented for Whipple shield ballistic limit analysis. First, the critical penetration analysis of the rear walls is converted into specific impulse analysis delivered by the secondary debris cloud, because the maximum of specific impulse is the main determinant of the penetration. The dual plate simulation model is then converted into single plate model and the population of particles is reduced. Second, based on the isotropic expansion theory of secondary debris cloud, the specific impulse analysis is further converted into particle position and velocity analysis when the stable secondary debris formed. The space span of the simulation model is reduced. An example of Whipple shield ballistic limit analysis is provided for the verification of the fast numerical approach, it shows that this approach can significantly increase the computation efficiency with acceptable accuracy.     

频率源对雷达测速精度影响分析

针对高稳频率源如何影响雷达测速精度问题，构建基于频率源分析雷达测速精度的理论模型，利用同步校频和互备双锁相环(PLL)改进方案实现了高稳高可靠频率源，然后通过静态模拟试验和动目标跟踪试验，分析频率源幅度、准确度、稳定度及同步校频、锁相环等模块对多普勒和测速精度的影响。结果表明，锁相环能够提升频率源短稳，降低雷达测速随机误差，同步校频能够减小本地铷钟与外部基准的频差，减小雷达测速系统误差，通过双源和双锁相环的设计，频率源切换或锁相环路切换时，也能够保证测速雷达系统正常工作。