Abstract
AbstractThe 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.
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