Uranus doesn't move very quickly in the sky, but the Moon obviously does. Have you checked to see whether what you're really looking at is the Moon being above a certain point on Earth relative to the Sydney area? Because at least over short timescales, that's more likely to have a bigger effect than Uranus.

(and why just Uranus? If it really did have an effect, wouldn't you expect Mars and Jupiter and Saturn to have an even bigger one because they're closer (and in two cases much more massive)?)