Re: [Phys-L] analytic determination of the position of a non-linearized simple pendulum
- From: John Denker <jsd@av8n.com>
- Date: Tue, 30 Sep 2014 08:50:51 -0700
On 09/29/2014 03:58 PM, Bernard Cleyet wrote:
> I do suspect it’s an elliptic integral.
You could easily pursue that hunch:
https://www.google.com/search?q=pendulum+jacobi+elliptic
which leads immediately to
http://home.ie.cuhk.edu.hk/~wkshum/wordpress/?p=725
complete with discussion, equations, and graphs of the result
The second hit is from the alway-interesting John Baez
and adds a few theoretical bells and whistles:
http://math.ucr.edu/home/baez/classical/pendulum.pdf