Now try generalising your thought experiment into launching a spherical shell composed entirely of satellites, set up so that in every orbit there are as many satellites moving one way as the other, and watch them crash into each other and fall back to Earth. What have we learned here, children? That Mills's fantasy is impossible to represent in terms of individual isolated objects in circular orbits.
Dave
Current loops of the orbitsphere don't crash into each other, they pass through each other just fine, much as the EM fields of a photon pass through those of another photon without incident.