Abstract
Historically the development of classical mechanics is related to our interest in astronomy and astrophysics. Newton was concerned that the planets and the stars, if left to themselves, would be unstable. He, therefore, was convinced that God intervened to make adjustments.
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This is a well known problem in molecular dynamics.
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The trajectory fills the whole of the ergodic regions and is not confined to a single surface. The ergodic hypothesis arises in statistical mechanics [[44], p170].
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Helrich, C.S. (2017). Complex Systems. In: Analytical Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-44491-8_6
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DOI: https://doi.org/10.1007/978-3-319-44491-8_6
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