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A uniform celestial sphere dividing method based on spherical rectangle

机译：基于球面矩形的均匀天球分割方法

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摘要

The division of the celestial sphere is the premise of star tracking algorithm for a star sensor, and the uniformity of the division is an important performance index of dividing methods. Based on analyzing existing celestial sphere dividing methods, a uniform celestial sphere dividing method based on spherical rectangle is proposed. With solid angle as the measuring basis, this method divides the celestial sphere into spherical rectangles, the boundaries of which are calculated by the solid angle integral. The celestial sphere is divided into 648 celestial sub-blocks, the solid angles of which are equal to each other. On the basis of the uniform dividing method, the navigation star sub-block table is established. Among the existing celestial sphere dividing methods, the best result is that the biggest partition is 22.86% larger than the smallest one. Compared with the existing methods, the dividing method proposed in this paper completes the uniform dividing, which has a better effect. Finally, the simulation experiment result verifies the effectiveness of the navigation star sub-block table for the star tracking algorithm.
机译：天体球体的划分是星形传感器的星形跟踪算法的前提，划分的均匀性是分隔方法的重要性能指标。基于分析现有的天线分割方法，提出了一种基于球面矩形的均匀天线分割方法。用实心角度作为测量基础，该方法将天体分成球形矩形，其边界由实心积分计算。天体球体被分成648个天块，其固体角度彼此相等。在均匀分割方法的基础上，建立导航星子子块表。在现有的天线分割方法中，最佳结果是最大的分区比最小的分区大22.86％。与现有方法相比，本文提出的分组方法完成了均匀分割，具有更好的效果。最后，仿真实验结果验证了星形跟踪算法的导航星子子块表的有效性。

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