newtron said:
I know it's been proven beyond all doubt that the universe is expanding but one thing is bugging me. Why isn't the Earth (and the other planets for that matter) moving away from the sun due to this expansion?
They don't because that's what General Relativity says (more or less).
OK, that was a joke. Seriously, it has been discovered not so many years ago
that the Astronomical Unit (AU) is increasing, so at least the Earth's distance from
the Sun is increasing secularly at this epoch. See
G.A. Krasinsky and V.A. Brumberg, Celestial Mechanics & Dynamical Astronomy 90, 287 (2004).
It must be stressed that the result reported here (an increase of the AU of about 15 m per century)
is indirect, inasmuch as this increase is inferred from an analysis of radiometric measurements of distances between the Earth and the major planets. So while it seems that the reported increase
of the AU is far too small to have anything to do with the Hubble expansion, it is possible that this
discrepancy can be blamed on incorrect theory-dependent assumptions made when analyzing the data.