All,
I don't doubt that someone noticed a circular image in their mirror and then found a propshaft out of balance.
But this is not diagnostic for a propshaft problem.
If you have two ocillating inputs into a system that can ocillate in two directions, then deepending on the frequency and amplitude of
the inputs, you get a range of simple to complex outputs that are described as Lissajou figures. If you played with a Harmonograph as a
child, you'll know these.
See:
http://local.wasp.uwa.edu.au/pbourke/surfaces_cur...
Extend that to a system that has multiple vibration inputs, that can oscillate in three dimensions, and the possible outputs are very
complex indeed.
See:
http://www.lifesmith.com/lissajou.html
But a light reflected in a mirror will be seen as ocillating in only two dimensions.
The third becomes invisible and the rough circularity is what stands out.
The stronger the input, the greater the output, so what would otherwise be a slightly blurred, wobbly light, becomes a circle - but
that input can be any powerful vibration.
The light circle in your mirror confirms that the vibration you feel is in your car, not just a rough road or a hangover.
John