3 ms·
Hmmm I thought the closed form solutions are Jacobi elliptics? https://cococubed.com/code_pages/pendulum.shtml https://cococubed.com/code_pages/pendulum.shtml
by vi_sextus_vi 6mo ago
Hmmm I thought the closed form solutions are Jacobi elliptics?
https://cococubed.com/code_pages/pendulum.shtml https://cococubed.com/code_pages/pendulum.shtml
- kqr 6mo agoYes. That's what the author means by > There is a closed-form solution, but only if you extend “closed-form” to mean more than the elementary functions a student would see in a calculus class.
- vi_sextus_vi 6mo agoMy bad. I should have encouraged more curiosity by pointing out that these functions actually have additive as well as multiplicative identities https://msp.org/pjm/1955/5-2/pjm-v5-n2-p02-p.pdf https://msp.org/pjm/1955/5-2/pjm-v5-n2-p02-p.pdf (Might even be relevant to the pendulum, see the comment below on the Arithmetic-Geometric Mean ;)