In his review of Austin Powers: The spy who shagged me, The Bad Astronomer points out that the moon is revolving around the Earth rather than rotating around it.

But is it really? From the moon's perspective, the Earth is 400 times closer than the Sun. By the inverse square law, the Earth thus has a factor 400^2 = 160000 of "proximity advantage". The Sun, however is about 300000 times heavier that the Earth. Thus, the Sun's gravitational influence on the Moon is about twice that of Earth's.

Wouldn't it therefore be more correct to say that the Moon is orbiting the Sun?