I suspect roughly similar to the initial European colonies in the "new world". The first 100 years or so will be dominated by big corps wanting new resources, and religious zealots wanting "freedom" from the old rules. Just like in the 1500s, only groups with deep pockets will be able to go initially. If those colonies take foot, and become self sufficient (this was really hard in the early "new world" colonization days, many many colonies just died off, the ones that didn't made history) then eventually "regular" people will be able to go. One can assume that human nature won't change over the next 500 years, and you'll have the same kind of gov'ts you have today. Local leaders under a higher level state/country leader. etc