Yeah at first I had a little trouble getting out there.
So I would swing and then hit L2 to get the extra speed before I jumped and shot another web. Once you get out you'll have to swing youself up to the top. Then I just kept swinging around the outside of the UFO. You have to punch the little circles at the edge of the poles. So just keep swinging around until you get them all. You'll prolly be dizzy by now
Then you will be able to go and kill the "brain" thing by the blades at the top.
Hope that makes sense to ya and hopefully it helps you out.