-The following subsections present comparative analysis results illustrating an incrementatal approach to evaluating ODE's fidelity. First, the ODE physical system is compared to a linearized ideal system, then a non-linearized ideal system, and finally to a non-linearized, non-idealized (i.e., a physical) system. In all cases, a very small ODE simulation and RK4 integration step size of 0.001 seconds was used to reduce ODE modeling error due to its use of a less than 4th order accurate implicit integration method. Also, the initial pendulum rod angles are set at 25 degrees with respect to vertical so as not to invalidate the use of small angle approximation to linearize the idealized equations of motion in subsections 1.a and 2.a below.
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