Observatory exterior (photo by Greg O’Beirne, 2006)
An unusual free science museum in Sydney, Australia is the Sydney Observatory. This opened in 1858 as a working observatory. The time ball, which dropped each day to mark the exact time, is still operating at 1:00 PM each afternoon. The observatory now operates as a small museum, having been refurbished during 1997–2008. The telescopes can also be used on paid night tours.
The observatory is a stiff climb up Observatory Hill. The exhibits are limited in number, but include some excellent orreries. Unless you have some astronomical expertise, the paid guided tours will be helpful. My brief visit was an enjoyable one.