[pdonis]

Actually there is a way that objects orbiting other objects can shed angular momentum: emit gravitational waves. We've observed this with binary pulsar systems; it's expected that it would also be taking place with objects orbiting the black hole at the center of our galaxy. This is one of those "long timescale" effects in most cases, but for objects close enough to the black hole at the center of our galaxy its time scale might not actually be longer than the lifetime of some of those objects. (That would only be true pretty close to the hole, though.)