The Cartesian coordinates are obtained from:
The initial conditions of Hairer, Norsett and Wanner were used with the above equations, and were solved using the Rosenbrock Triple.
The 2-D and the 3-D plots are shown below.
Friday, June 27, 2014
The Spherical Pendulum
The spherical pendulum is a generalized representation of the simple pendulum. The spherical pendulum is a 3-dimensional motion of a mass moving on the inner side of a sphere. Given an initial condition, the mass sets into motion and continues to do so in vacuum. The equations of motion for the spherical pendulum are given below.
The Cartesian coordinates are obtained from:
The initial conditions of Hairer, Norsett and Wanner were used with the above equations, and were solved using the Rosenbrock Triple.
The 2-D and the 3-D plots are shown below.
The Cartesian coordinates are obtained from:
The initial conditions of Hairer, Norsett and Wanner were used with the above equations, and were solved using the Rosenbrock Triple.
The 2-D and the 3-D plots are shown below.
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[…] pattern of the spherical pendulum motion appeared to get my wife’s attention as I was typing the previous post. And to the engineer in me, that struck as a bit odd, for there was nothing to be fascinated […]
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