eburacum45 wrote:is that different to loss of angular momentum?
Yes - angular momentum is a proportional to mass and angular velocity. When you drop a ship out a trapdoor there's no exchange of angular momentum between the ring and the ship - the ring keeps on rotating at the same speed, and the ship retains the angular momentum it had when it was just sitting on the ring floor.
But you
do exchange angular momentum if you land a ship using a linear accelerator.
Here's how it goes:
1) Ship is in a circular orbit around the ring ... ring is sweeping past the ship with an angular velocity that exceeds orbital velocity (in order to generate "centrifugal gravity").
2) Ship is picked up by the linear accelerator landing system ... ship gains kinetic energy and angular momentum as its angular velocity is increased to match the ring rotation, while the ring loses some angular momentum and kinetic energy because it's exerting a force on the ship to accelerate it, and is therefore is slowing a little itself.
3) Ship is launched through a trapdoor. Ring keeps on rotating at its (slower) rate, and the ship now benefits from the increased momentum it harvested during landing - it climbs away from the ring on a hyperbolic orbit, whereas it arrived in a circular orbit.
Your ships are effectively stealing rotational energy from the ring every time they land and then launch, and the ring just keeps on getting slower and slower.
An alternative to the strategy I mentioned above would be to require your ships to arrive on a hyperbolic orbit that synched with the ring rotation at closest approach ... the ring would then just latch on to them as they passed, without exchanging angular momentum. But there would be major fuel penalties for a ship that missed an approach and had to go around, and there would be added potential for making alignment errors.
Grant