The Planet Hollywood Observatory at Disney Springs, which has been under construction and refurbishment is starting to accept reservations. Â You are able to start booking the reservations now, but not yet on the Disney website. Â You have to call the restaurant at 407-827-7827 in order to book. Â The reservations are currently for dates starting on December 15, 2016 and after. Â Be sure to get your reservation now, if you want to be among the first to experience the new menu, atmosphere and theme.