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arXiv · 2306.10653

Weierstrass elliptic functions for the pendulum

Oliver Knill
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Abstract

The mathematical pendulum is traditionally solved using a Jacobi elliptic functions. We solve it here using the Weierstrass elliptic function. Every initial condition of the pendulum produces an elliptic curve and a point which by the dynamics of the pendulum is translated linearly on the torus.

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Oliver Knill. 2023-06-22. Weierstrass elliptic functions for the pendulum. https://arxiv.org/abs/2306.10653

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