I was just wondering if it were possible to A) Orbit the moon and earth B) To orbit any two celestial bodies really?
The simple answer is yes.
The more complicated answer starts to look at types of orbit.
- You could have a figure-8 orbit, which has centres around both.
- You could have an orbit that goes around the centre of mass of the two bodies (in the case of Earth - Moon this is a point within the Earth, but for Pluto-Charon it lies between the two bodies) - this is likely to be a much wider orbit
- You could have a Lagrange orbit, where you are orbiting a gravitational point because of the two bodies, but not actually going round them (odd edge case of the word 'orbit')
Some may be stable, others not. In fact the free-return trajectory for Apollo 8, 10 and 11 is an unstable version of the first one. It is a figure-8 that goes out past the moon and comes back. But only once.
Have a read of @TildalWave's post for more info on resonant orbits.
And an example I love - the Apollo 12 fragment (from Wikipedia):
Yes it's possible, and known ... at Pluto. What are officially called the (four known) smaller moons of Pluto are actually orbiting the center of mass formed by Pluto and its large moon Charon, which is outside both Pluto and Charon.
Wikipedia includes an animation of all the known moons orbiting Pluto. The small moons are all much farther away from the center of mass than Pluto and Charon are, so they "see" the larger binary mass as approximately a single point.
Because of the inherent instabilities of this type of orbit, to keep a satellite in orbit around the Earth Moon system. The clever manipulation of light pressure from the Sun could possibly be used to compensate for the instabilities of this type of orbit to keep it within the Hill Limit.