关于托勒密星表的制作

IF 0.7 2区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Christian Marx
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引用次数: 2

摘要

托勒密采用希帕恰斯星表中的恒星坐标的假设是基于希帕恰尔在《关于阿拉图和尤多克斯现象的评论》中的赤道恒星坐标进行研究的。由于喜帕恰斯的星表可能是基于赤道坐标系,他的恒星位置一定被转换成了托勒密在其《年鉴》中星表的黄道系统。通过统计分析方法,识别出与这种坐标转换一致的数据组。发现的群体显示出喜帕恰斯和托勒密的数据之间的高度一致性。转换背后的黄道倾角是通过调整来估计的,并且在统计上与托勒密的这个参数的值一致。这些结果允许这样一种假设,即托勒密的坐标是由Hipparchus的坐标通过精确的星仪甚至通过计算确定的。为了从赤道坐标计算出黄道坐标,结合《年鉴》的数学思想,讨论了可能的计算方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On the making of Ptolemy’s star catalog

On the making of Ptolemy’s star catalog

The assumption that Ptolemy adopted star coordinates from a star catalog by Hipparchus is investigated based on Hipparchus’ equatorial star coordinates in his Commentary on the phenomena of Aratus and Eudoxus. Since Hipparchus’ catalog was presumably based on an equatorial coordinate system, his star positions must have been converted into the ecliptical system of Ptolemy’s catalog in his Almagest. By means of a statistical analysis method, data groups consistent with this conversion of coordinates are identified. The found groups show a high degree of agreement between Hipparchus’ and Ptolemy’s data. The value of the obliquity of the ecliptic underlying the conversion is estimated by adjustment and statistically agrees with Ptolemy’s value of this parameter. The results allow the assumption that Ptolemy’s coordinates were determined from Hipparchus’ coordinates by an accurate star globe or even by calculation. For a calculative derivation of ecliptical coordinates from equatorial ones, possible calculation methods are discussed considering the mathematics of the Almagest.

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来源期刊
Archive for History of Exact Sciences
Archive for History of Exact Sciences 管理科学-科学史与科学哲学
CiteScore
1.30
自引率
20.00%
发文量
16
审稿时长
>12 weeks
期刊介绍: The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.
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