As was said, Antorak must remain stationary and channel the ability. As long as he does, you should be able to freely warp fleets in and out from this gravity well, from or to any other grav well with a stabilizer inside. If you have him selected while ordering the fleet to jump, the Marauder will move. It will break channeling of the ability and make the node disappear, meaning - long way home.
However, I had several issues with it in the past and there is already a post in beta feedback forum about it.
Luckily I couldn't replicate the stabilizer bug in 1.1 yet.