The game has only one faction, but I have an excel document with tables for each greater clan that I update every drought. I keep track of economy, influence and other factors (that I pull out of my head and the story, I admit) to measure their strength in the Dominion. The next chapter will feature a screenshot of the system =)
LPs aren't in the system, sadly. At least not in convinient places, I think only the primary and secondary star have super jovians and LPs, but I'm not sure. Travel will always be somewhat slow, I think it's still acceptable.
On a side note, the Nevithian Dominion is currently on a somewhat-hiatus. Updates will resume in about two to three weekends. =)