Nice job everyone I'll throw in a few comments to clarify some things.
1) There is a meaning to the order I picked. They are in Generational order:
Uranus
Cronus
Zeus, Hades, Poseidon, Aphrodite
Ares, Hermes
I chose this order to help (with Uranus) and to confuse (for the last 2)
2) They don't have to represent the Greek versions of the planets. They are actually intended to be the Greek names for the planets. Not only is Pluto Greek, but so is Uranus which doesn't have much of alternative name except for Oraunos (spelled many different ways apparently)
3) I used the original solar system because the current 1 gets too complicated with all the dwarf planets which Pluto is now a part, and what is and what shouldn't be classified as this or that...
4) Also, a case could be made to include Gaia, so I added a hint that said she didn't meet 1 of the criteria. Her Roman counterpart is Terra. There is no Greek God that actually is corresponds to the name Earth