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An Improved Synchronized Orbit Determination Method Based on Distributed Star Sensors

机译：一种改进的基于分布式星传感器的同步轨道确定方法

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Space-based Space Surveillance (SBSS) performs more excellently than ground-based space surveillance system in Space Situation Awareness (SSA). But it is also limited in the quantity of available surveillance satellites and the high cost. Thus, we proposed a Star Sensors-based Space Surveillance System. Star sensor is a necessary onboard sensor for attitude determination through taking star pictures and matching with star catalogue. But in this paper, we put forward to take advantages of star sensors to observe space debris and obtain angular measurements of them from short visible arcs, which means most satellites in orbit with star sensors can be regarded as distributed space surveillance platforms to serve for synchronized Initial Orbit Determination (IOD). Based on the background above, this paper mainly concentrates on the synchronized object positioning and algorithm involved in IOD. First, a synchronized object positioning method based on Total Least Squares (TLS) has been researched. Because when both coefficient matrix and observation vector are perturbed, results in Least Square (LS) are not optimal. Second, to eliminate trivial solution in classical Laplace method and to enhance the rate of convergence, a novel algorithm with improved Laplace method is introduced. Furthermore, simulation results show that TLS technique nearly performs a 30%~50% improvement in accuracy. Meanwhile, slipping the leash from accurate initial values in short-arc IOD, the improved Laplace method only experiences few iterations that can converge to a small errors scope.
机译：基于空间的空间监视（SBSS）比空间情况意识（SSA）的地面空间监控系统更优越。但它在可用监控卫星的数量和高成本中也是有限的。因此，我们提出了一种基于星系的空间监控系统。星传感器是通过拍摄星形图片和与星目录匹配的必要车载传感器。但是，在本文中，我们提出了星传感器的优势来观察空间碎片，并从短的可见弧中获得它们的角度测量，这意味着轨道中的大多数轨道中的轨道传感器可以被视为用于同步的分布式空间监控平台。初始轨道确定（IOD）。基于上面的背景，本文主要集中在IOD中涉及的同步物体定位和算法。首先，已经研究了基于总比率（TLS）的同步物体定位方法。因为当两个系数矩阵和观察向量被扰乱时，导致最小二乘（LS）不是最佳的。其次，为了消除经典拉普拉斯方法中的琐碎解决方案并提高收敛速率，引入了一种改进的拉普拉斯方法的新算法。此外，仿真结果表明，TLS技术的准确性几乎执行30％〜50％。同时，从短弧IOD中从精确的初始值滑动皮带，改进的LAPLACE方法只会遇到可能会聚到小错误范围的迭代。

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