Abstract
The motion of the planets and moons in our solar system is a dynamical system that has been studied throughout recorded history. Although some of the early models of planetary motion were quite sophisticated, they were mostly based on incorrect premises. Eventually, using empirical data that is primitive by today’s standards, fundamental results were obtained. Copernicus (1543) demonstrated that the planets revolved around the sun and Kepler (1609) determined that these orbits were elliptical. The discovery of the gravitational force by Newton (1687) and calculus brought a new level of mathematical sophistication, activity, and results to celestial mechanics, but it remained the study of a single dynamical system as did many other problems in mechanics.
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Markley, N.G., Vanderschoot, M. (2023). Dynamical Systems. In: Flows on Compact Surfaces. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-32955-5_1
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DOI: https://doi.org/10.1007/978-3-031-32955-5_1
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