Assessment of the close approach frequency and collision probability for satellites in different configurations of large constellations

The Earth orbital environment is drastically changing due to an intensification of the space activities. In particular, several projects of large constellations, proposed for the next years for communications purpose like global internet access, Internet of Things, or for Earth observations, will lead to the deployment of several thousands of new satellites at an unprecedented rate. It is a crucial challenge for space traffic management, which will deal with a great number of satellite conjunctions, potentially causing a collision with damaging consequences for the constellation itself and the space environment sustainability.In this paper, we investigate the close approach frequency and the cumulative collision probability for each referenced constellation. For this purpose, we compute the orbital evolution of satellites in different constellations during the lifecycle, from the deployment to the decommissioning, and we apply the CUBE algorithm and the Foster method to assess the collision probability with the background space debris population assuming a constant uncertainty in position. We show the variation of risk defined by the close approach frequency and the cumulative collision probability as a function of the proposed configuration. In particular, satellites of the Iridium and Kuiper constellation, but also satellite of the Telesat constellation on polar orbits are the most exposed at a collision. Moreover, the decommissioning phase contribute for a major part to the final cumulative collision probability.     

气动力星座保持的闭环控制研究

本文研究了利用气动力进行星座保持的闭环控制问题。提出了一种改进的半全局指数收敛闭环控制律，对于指定的任意大的有界域，利用不变集定理论上证明了该控制律的稳定性和抗干扰性，又提出了双ε法以提高响应速度。     

Aiming at a 1-cm Orbit for Low Earth Orbiters: Reduced-Dynamic and Kinematic Precise Orbit Determination

The computation of high-accuracy orbits is a prerequisite for the success of Low Earth Orbiter (LEO) missions such as CHAMP, GRACE and GOCE. The mission objectives of these satellites cannot be reached without computing orbits with an accuracy at the few cm level. Such a level of accuracy might be achieved with the techniques of reduced-dynamic and kinematic precise orbit determination (POD) assuming continuous Satellite-to-Satellite Tracking (SST) by the Global Positioning System (GPS). Both techniques have reached a high level of maturity and have been successfully applied to missions in the past, for example to TOPEX/POSEIDON (T/P), leading to (sub-)decimeter orbit accuracy. New LEO gravity missions are (to be) equipped with advanced GPS receivers promising to provide very high quality SST observations thereby opening the possibility for computing cm-level accuracy orbits. The computation of orbits at this accuracy level does not only require high-quality GPS receivers, but also advanced and demanding observation preprocessing and correction algorithms. Moreover, sophisticated parameter estimation schemes need to be adapted and extended to allow the computation of such orbits. Finally, reliable methods need to be employed for assessing the orbit quality and providing feedback to the different processing steps in the orbit computation process. This revised version was published online in August 2006 with corrections to the Cover Date.     

均布压力作用各向异性矩形薄板大挠度问题

基于冯·卡门模型，选择中心挠度为摄动参数，利用摄动方法将正交异性矩形薄板大挠问题的非线性偏微分方程组逐级线性化，导出了各级摄动对应的几个线性偏微分方程组，然后再借助变分法求解，得到了均布载荷作用下正交异性矩形薄板的载荷-挠度曲线。     

低轨卫星面阵凝视成像技术研究

文章介绍了面阵凝视成像的工作原理及特点，阐述了低轨卫星对地观测凝视成像面临的像移问题及其解决措施，对像移补偿装置与二维指向机构的结合做了初步探讨。     

低地球轨道环境原子氧对航天器表面材料聚酰亚胺作用的数值模拟

在建立数学物理模型的基础上，对氏地球轨道环境和地面实验环境下，有无保护层的聚酰亚胺所受原子氧冲蚀作用进行了进行了成功的数值模拟，获得了具有工程应用价值的数值计算结果，并讨论了数学物理模型中各参数对基蚀曲线形状的影响。从数值模拟结果和美国太空实验结果的比较可以看出，本文数据模拟的结果是正确的。该项工作对航天器的设计具有重要指导意义。     

卫星星座系统多学科设计优化研究

分析了卫星星座系统设计包含的星座设计、卫星设计、发射选择等学科之间的耦合关系，特别是卫星各分系统之间的耦合关系，建立了包括发射费用分析、成本分析在内的卫星星座系统多学科分析模型。在此基础上，采用分布式协同进化MDO算法，将星座设计优化和卫星的设计优化在自治基础上充分协同，对一个同时包含离散／连续设计变量、需进行星座结构和参数同时优化的虚拟的海洋监视卫星星座系统进行了多学科设计优化。算法对离散设计变量采用二进制编码，连续设计变量采用实数编码，并分别采用相应的进化算子。采用最大长度编码，根据一定的规则确定基因的显性和隐性，来处理结构和参数同时优化引起的设计变量维数可变的问题。设计结果显示了多学科设计优化的优势和分布式协同进化MDO算法对卫星星座系统这样的复杂多学科设计优化问题的有效性.     

一种改进的区域覆盖星座优化设计方法

为缩短区域覆盖星座优化设计的计算时间，对网格点仿真法进行了改进。在统计时间内，以解析法计算卫星覆盖时刻集，并采用遗传算法优化星座参数。仿真计算结果表明，本文改进方法的计算时间仅为优化前的百分之一。     

轮控小卫星姿态大角度机动递阶饱和控制器设计

针对采用反作用飞轮的小卫星姿态大角度机动控制，在反作用轮输出力矩受限、速率饱和的约束条件下，采用递阶饱和方法，即限制卫星每次姿态机动的最大偏差，对姿态偏差进行逐次消除。在毋需获知最优机动轨迹规划的情况下，可用于卫星任意时刻的姿态捕获和机动控制。数学仿真结果表明，本文设计的控制算．去能够实现快速姿态机动任务，具有良好的鲁棒性。     

低轨卫星月影事件预报优化

针对卫星月影问题,提出了一种低轨卫星优化的月影预报策略,可以有效提高目前低轨卫星在轨管理时对月影事件预报的效率.结合仿真对产生月影事件的太阳、地球、月球的三体关系进行了分析,首先给出了月影产生的解析分析方法,并通过对一个三维月影影响模型的分析,得到了月影影响区间的判定要素——月影临界角;然后进一步通过对月影临界角的分析,提出了基于太阳与白道面的位置关系和月影临界角对低轨卫星月影事件的优化预报方法;最后基于大量的随机低轨卫星场景对本方法的正确性进行了验证.研究结果表明,此方法能够较大地提高月影预报效率,可以将月影预报频率从每月1次降低到每年2次,从而简化了低轨卫星在轨运行管理的任务复杂度,为卫星的在轨可靠运行提供支持.