Simple Pendulum
- To: mathgroup at smc.vnet.net
- Subject: [mg3575] Simple Pendulum
- From: Christian NEEL <FRVALRFQ at IBMMAIL.COM>
- Date: Mon, 25 Mar 1996 21:35:24 -0500
- Sender: owner-wri-mathgroup at wolfram.com
I am in need of the most accurate analytic evaluation of the motion solution in a true simple pendulum. i.e : an analytic solution of the following ODE : J Teta''[t] + k Teta'[t] + m g Sin[Teta[t]]==0 Where : J, k, m, g are constants. Teta (angle) is the unknown function of t Initial conditions : Teta[0]==Teta0, Constant Teta'[0]==Omega0, Constant. I guess that the analytical solution (if existing) could be expressed in terms of special functions. In the event where no explicit solution exist, I am still interested in an analytical expression of the boundary between attraction bassins in the phase plane (Teta,Teta'). Thank You in Advance C.NEEL: FRVALRFQ at IBMMAIL.COM ==== [MESSAGE SEPARATOR] ====