On the Motion of the Nodes of the Moon and the Variation of its Inclination to the Ecliptic (an English translation of De Motu Nodorum Lunae Eiusque Inclinationis Ad Eclipticam Variatione)

Authors

Patrick T. Headley, Gannon UniversityFollow

Abstract

In this paper Euler attempts to explain some features of the motion of the Moon using Newton’s inverse-square law of gravity. He describes the evidence in favor of Newton’s theory but also the lack of progress in the study of lunar motion due to the difficulty of the three-body problem, arising here since both the Sun and the Earth have large effects on the Moon. He proceeds to investigate the line of intersection between the planes of the Earth's orbit and the Moon's orbit, as well as the angle between the two planes.

Last Page

80

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Recommended Citation

Headley, Patrick T. (2023) "On the Motion of the Nodes of the Moon and the Variation of its Inclination to the Ecliptic (an English translation of De Motu Nodorum Lunae Eiusque Inclinationis Ad Eclipticam Variatione)," Euleriana: 3(2), pp.47-80.
DOI: https://doi.org/10.56031/2693-9908.1036
Available at: https://scholarlycommons.pacific.edu/euleriana/vol3/iss2/2