We have set up an automatic routine to go through frequencies, start points, cycle rates, and so forth, trying to determine the natural frequency of the Flying Castle.
My theory is that cycling at the natural frequency will be most economical of the energy used. Its like having a tuned exhaust for an internal combustion engine. Reducing the back pressure increases the efficiency.
Some of these patterns are very strange in configuration, like mult-pole Lissajous patterns, but they are helping us determine how to tune this circuit.