Numerical instability of spherical pendulum
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Bas Siebers
il 25 Feb 2015
Commentato: Mischa Kim
il 26 Feb 2015
Hi,
I am trying to simulate a spherical pendulum. The equation of motion of the spherical pendulum are:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/147306/image.png)
So far, I was able to simulate the equation of motion with a ode45 solver. However I experiencing numerical instabilities when the phi angle approach zero.
Does any one have an idea to get rid off these numerical instabilities?
Thank you in advance,
Bas
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Mischa Kim
il 25 Feb 2015
Bas, the plus sign in your equation does look a bit strange. Shouldn't that be a minus instead?
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Mischa Kim
il 26 Feb 2015
Angular momentum is conserved (constant), not azimuth rate. The equation for the angular momentum is
m*l^2*sin(phi)^2*thetadot = const.
Therefore, when phi decreases, thetadot increases, just like described above.
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