Classical Mechanics: Various Topics

Notebooks on a variety of topics related to classical mechanics

17-32 Hanging Chain 10-01-16

I work through the solution of the classic problem of determining the shape of a hanging chain.

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17-33 Kepler Problem - Trott 3.1-24b 09-07-16

I work through Michael Trott’s treatment of the Kepler problem that uses pattern matching techniques to generate a power series solution. To better understand this treatment, I recast it in my own notation/style. I also compare results for the power series against a paper in which an early symbolic computing approach to this problem was made. I find a discrepancy in the published results and perform a cross-check against a brute force calculation that gives me confidence in my own implementation of the pattern matching method.

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New Additions 11-21-2018

I add a series of notebooks on classical mechanics. These notebooks cover selected topics in Introduction to Classical Mechanics, David Morin. Focus is on Chapter 9 – General Angular Momentum topics related to the dynamics of 3D rigid bodies.

Mechanics-Morin-Problem-9.2-10-28-18