As we know from Goku's (and Gohan's, as well as a few others) childhood, Saiyans turn into giant raging monkeys when exposed to the moon (or even an image of it).
It seems that this is contained entirely within the tail of a Saiyan, as when it is removed, the power of the transformation is lost.
However, the strength, or power of that transformation, is that lost also? Or does that explain the "untapped" power that allows a Saiyan to transform into a Super Saiyan?
The primary question though is: does the moon still affect Saiyans that have had their tail cut off/removed?