Wilhelm IV的星表：星表和测量的精确度
The star catalogue of Wilhelm IV, Landgraf von Hessen-Kassel: Accuracy of the catalogue and of the measurements
摘要：
我们分析了Wilhem IV，Landfieldvon Hessen-Kassel，1586年的手稿星表。从星表中给出的恒星之间的高度和角度的测量结果来看，我们发现八颗基本恒星的测量精度平均为26角秒，而布拉赫的测量精度为49角秒。将高度转换为赤纬，将恒星间夹角转换为天体位置的计算非常精确，相对于测量误差而言，误差可以忽略不计。由于春分点位置的偏移，星表的位置误差比布拉赫的星表稍差，但当对偏移进行校正时-这是17世纪天文学家所知道的-星表比布拉赫的星表精确两倍。我们提供机读目录表。
英文摘要：
We analyse a manuscript star catalogue by Wilhem IV, Landgraf von Hessen-Kassel, from 1586. From measurements of altitudes and of angles between stars, given in the catalogue, we find that the measurement accuracy averages 26 arcsec for eight fundamental stars, compared to 49 arcsec of the measurements by Brahe. The computation in converting altitudes to declinations and angles between stars to celestial position is very accurate, with errors negligible with respect to the measurement errors. Due to an offset in the position of the vernal equinox the positional error of the catalogue is slightly worse than that of Brahe's catalogue, but when correction is made for the offset -- which was known to 17th century astronomers -- the catalogue is more accurate than that of Brahe by a factor two. We provide machine-readable Tables of the catalogue.
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