All the case were consolidated and dismissed as a matter of law. The appeals court said that Georgia law and prior precedence does not give the court jurisdiction over the Georgia Democratic partys selection of candidates for the presidential primary.
The judge also said that even if the laws under which the defendants appealed were applied, because they failed to properly serve Obama in the first place, their appeal would be dismissed.
Looks like Georgia election law is specifically written to severely limit the power of judges to interfere with the political parties. I am sure there is some interesting history there.
Now perhaps once the primary is over and Obama is on the general election ballot they can try again.