As far as I know they've removed the application form after they renewed the site, so it's only available when they announce the recording date. Fastest way to go about would be to follow their staff account on twitter, or you could just check the homepage manually.
Also, some notes about Odaiba: the capacity for the free lives are approximately 250 people, not 1000, and you only need to line up early for the numbered tickets if you're interested in front row. Since the lives are almost daily there's little risk of the audience area getting full, so usually you can get in without any problems and with decent view even if you're short. If you're just there for the girls stalking them with binoculars from higher ground would probably be better, though. lol. Japanese summer is hell.