Shape and attitude of resident space objects directly affect the orbit propagation via drag and solar radiation pressure. Obtaining information beyond an object state is integral to identifying an object, aid in tracing its origin and its capabilities. For objects that have a significant distance to the observer, only non-resolved imaging is available, which does not reveal any details of the object. So-called non-resolved light curve measurements, i.e. brightness measurements over time, can be used to determine the shape of convex space objects using an inversion scheme. The inversion process starts by first determining the Extended Gaussian Image and then solving Minkowski problem to obtain the closed shape result. In this paper, the effect of measurement noise on the shape inversion and the influence of the measurement geometry is investigated. Despite the presence of measurement noise, in a new methodology, expanding upon established inversion techniques, almost perfect inversion results can be obtained in a two-step process: first, an initial light curve is used for shape hypothesis creation, and then, a second (potentially very short) light curve is used for selection of the best hypothesis. Results are shown for two standard shapes of a cuboid and a house shape.

中文翻译：

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存在测量噪声的直接光曲线反演方案

驻地物体的形状和姿态通过阻力和太阳辐射压力直接影响轨道的传播。获取超出对象状态的信息对于识别对象是必不可少的，有助于跟踪其起源和功能。对于与观察者有很大距离的物体，仅可使用非分辨成像，该成像无法显示物体的任何细节。所谓的非分辨光曲线测量，即随时间的亮度测量，可用于使用反演方案确定凸空间物体的形状。反演过程首先要确定扩展高斯图像，然后解决Minkowski问题以获得闭合形状结果。本文研究了测量噪声对形状反转和测量几何形状的影响。尽管存在测量噪声，但在一种新方法中，以现有的反演技术为基础进行扩展，可以通过两步过程获得几乎完美的反演结果：首先，将初始光曲线用于形状假设的创建，然后再进行第二步（可能非常短）光曲线用于选择最佳假设。显示了两个标准形状的长方体和房屋形状的结果。