In reply to john arran:
> At least this time he's presented something truthful (dare I say even interesting!) and without an entirely misleading slant to misrepresent reality!
Actually, they've over-simplified the issue to the point that they're currently wrong...
Two bodies in isolation orbit their centre-of-mass (or barycentre). If you consider a single planet and the sun in isolation, most of the planet-sun pairs have the barycentre within the sun, so whilst technically the sun and the planet are both orbiting the barycentre, this is reasonably well described as the planet orbiting the sun as the point being orbited lies within the sun - although the sun also orbits this point.
The isolated system of the sun and Jupiter is an exception, with the barycentre falling at 1.07x the solar radius, meaning that they both orbit a point in free space.
However, what actually happens is that all the heavenly bodies - including the sun - orbit about the barycentre of the whole system.
The location of the solar system's barycentre varies with the position of all the planets etc, and hence with time. Sometimes it's within the sun and sometimes it outwith the sun.
So, at times, no planets orbit the sun (as they orbit the barycentre outwith the sun), and sometimes all planets and the sun orbit a point within, but not at the centre of, the sun (when the barycentre is within the sun). I would argue it's a semantical stretch to say they're actually orbiting the sun, but that stretch is only possible when the barycentre is within the sun.
Right now I believe the barycentre lies beyond the sound's radius and so nothing is orbiting the sun. Everything is orbiting the centre of mass of the system and that point is not encompassed by the sun.
Post edited at 20:28