Elliptic Functions and Simple Pendulum AnimationThe purpose of the present article is to built the equation of motion of a simple pendulum for large angles, then to use Maple commands: JacobiSN, to find the displacement angle for a given time.
A set of ordered pairs of coordinates for the bob is thus obtained and used for plotting.
The animation is somehow tricky since the set obtained doesn't allow for a straight forward animation and needs some careful manipulation of the data in the set.
The reward is double:
1- being able to put to good use Maple engine in finding Elliptic Functions (EF) with a simple command rather than resorting to tables for finding EF.
2- A good exercise in programming with Maple animation.