Ptolemy explicitly claims in the Almagest to have made 36 observations. For most of them, the date of the observation is determined by the kind of phenomenon observed, for example, the observation of a lunar eclipse or of an equinox. There are six observations, however, in which a particular date is not required by the nature of the phenomenon under investigation. In five of them, Ptolemy measures the longitude of each planet, without any particular requirement. In the sixth, he measures the longitude of a star. The aim of this paper is to show that these six observations belong to the set of observations that Ptolemy could have used for discovering the second lunar anomaly. Because all of them took place in the first half of year 139, one can presume that it was then when Ptolemy developed his model for the second lunar anomaly.

中文翻译：

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托勒密开发第二次月球异常模型的可能日期

托勒密在 Almagest 中明确声称已经做出了 36 项观察。对于他们中的大多数人来说，观测日期是由观测到的现象的种类决定的，例如，对月食或春分的观测。然而，有六项观察结果表明所调查现象的性质不需要特定日期。在其中五个中，托勒密测量每个行星的经度，没有任何特殊要求。在第六步中，他测量了一颗恒星的经度。本文的目的是表明这六个观测属于托勒密可以用来发现第二个月球异常的观测集合。因为它们都发生在 139 年上半年，所以可以推测，托勒密就是在那时开发了他的第二次月球异常模型。