The calculations made by Euler for the orbital parameters for the Comet of 1742 are revisited. These calculations were published in Latin in E58— Determinatio orbitae cometae qui mense Martio huius anni 1742 potissimum fuit observatus (Determination of the orbit of the comet which was clearly observed in the month of March of 1742). The present work begins by giving some background on comets before addressing the main topic itself, which consists on the calculation of the orbital parameters for the assumed parabolic and elliptical orbit made by Euler for the Comet, making use of three observations. Because of the extent of the work, characterized by rather lengthy and repetitive calculations, only the parabolic orbit case is considered here. More specifically, the work addresses the calculations for the standard parameters: longitude of the ascending node, inclination of the orbit, argument of the perihelion, the perihelion distance, which, together with the time that the comet is at the perihelion, make five unknowns that fully characterize the parabolic orbit of a comet.
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机译：重新判断了由1742年彗星轨道参数的欧拉曲线的计算。这些计算在e58- 测定中发表在拉丁语中 orbitae cometae qui mense martio huius anni 1742 potissimum <我> Fuit 观察出现（在1742年3月的月份清楚地观察到的彗星轨道）。本工作开始于在寻址主题本身之前在彗星上给出一些背景，这包括计算假定抛物线和椭圆形轨道的轨道参数，用于彗星的彗星，利用三种观察。由于作品的程度，以相当冗长和重复的计算为特征，因此在此考虑抛物线轨道案例。更具体地说，该工作地解决了标准参数的计算：上升节点的经度，轨道倾斜，射周的争论，剖腹船距离，以及彗星在剖腹处的时间，使五个未知数完全表征彗星的抛物线轨道。
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