On the series proposed by Hill for the representation of the motion of the moon
Alexander Mikhailovich Lyapunov
TL;DR
This paper reviews and analyzes Hill's series for modeling the Moon's motion, providing insights into its mathematical structure and accuracy, based on Lyapunov's 1896 work.
Contribution
It offers a detailed examination of Hill's series as proposed by Lyapunov, highlighting its mathematical properties and potential applications in lunar motion prediction.
Findings
Hill's series effectively models lunar motion.
Lyapunov's analysis clarifies convergence properties.
The series has limitations in long-term predictions.
Abstract
Lyapunov, A. (1896). On the series proposed by Hill for the representation of the motion of the moon. Proceedings of the Department of Physical Sciences of the Society of Natural History, Moscow, 1896, Vol. VIII, No. 1, 1-23. English translation of the Russian original. Translator: Thomas. S. Ligon, orcid 0000-0002-4067-876X.
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Taxonomy
TopicsSpace Science and Extraterrestrial Life · Astro and Planetary Science · Historical Astronomy and Related Studies