Analytic solution to the pendulum equation for a given initial conditions
In this paper we give the analytical solution for the undamped pendulum equation for a given arbitrary initial conditions. This solution is expressed in terms of the Jacobian elliptic functions. Approximated trigonometric solution is also provided. Three practical formulas for the period of oscillat...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2020-01-01
|
Series: | Journal of King Saud University: Science |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364719307517 |