NOTES
It’s always possible to take the analysis further – Peter Taylor, a rocket scientist from Texas, analyzed the vibrational modes of the Ringworld. One of the modes is shown here – the ellipses show how each point on the Ring would move if this mode of the Ring were excited. Peter’s website explains his calculation and shows several other modes. If you’re intending to move the Ring, or hit it hard, some thought about the vibrational modes is warranted definitely warranted.