As can be seen, this only works for a while, and after rising, the tower falls back. Fairly rapidly, the outer parts were moving too slowly. In this model, a constant angular velocity is maintained by constraining the chain of rising bodies within a 250,000 km rigid tower. There are no ties, and bodies are allowed to move freely within the rigid tower. In this model, a rigid tower contains a chain of linked bodies which are allowed to accelerate out into space, while new bodies and ties are added at the base.
Bodies fly out faster and faster until the stresses in the chain result in ties snapping.
In an attempt to prevent the chain accelerating faster and faster up the rigid tower, the lowest body is restrained to an arbitrary maximum velocity. Rather than being freely fed out, the tower is fed out slowly. As bodies reach the top of the rigid tower, their ties are released, and they fly out into space. This siphon steadily feeds bodies out. It takes some 34 hours for a body to ascend from the planet surface to the top of the rigid tower.