The derivation of the phenomena in Hipparchus' Commentary on the phenomena of Aratus and Eudoxus from the star positions of his presumed star catalog is investigated under the assumption of their determination by a star globe. As most of Hipparchus' star coordinates are not available, they are reconstructed from the star catalog in Ptolemy's Almagest. Data consistent with the assumed determination of the phenomena are identified by a statistical method for the elimination of erroneous data; the parameters underlying this determination and the data accuracy are estimated by adjustment theory. The results indicate that, for the majority of the data under investigation, an accurate determination by a globe can be assumed. The estimated values of the parameters, the obliquity of the ecliptic and the observer's latitude, agree with information from historical sources and with values found in previous investigations of Hipparchus' data. Moreover, in most instances, the conducted analysis substantiates a strong relation between Ptolemy's and Hipparchus' star data under investigation.

中文翻译：

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Hipparchus现象的确定及其与Almagest星表的一致性

在希普查克斯的《关于阿拉特斯和尤多克斯的现象的评论》中，从其假定恒星目录的恒星位置推导了这些现象，并假设它们是由恒星地球决定的。由于大多数喜帕恰斯明星坐标所不具备的，他们是从托勒密的星表重建的天文学大成。通过消除错误数据的统计方法来识别与假设的现象确定相符的数据。根据调整理论估算此确定所依据的参数和数据准确性。结果表明，对于所调查的大多数数据，都可以假设地球仪已准确确定。这些参数的估计值，黄道的倾角和观测者的纬度，都与历史来源的信息以及先前对Hipparchus数据的调查中发现的值一致。而且，在大多数情况下，进行的分析证实了所研究的托勒密和希帕丘斯星数据之间的密切关系。