If they are too close you might lose the planets due to cultural influence. Depends on their influence and yours of course...
I snagged both Tortoon and Arken but lost the Erwin to talaan culture. So I'm pumping up the culture on both planets in attempt to get Erwin back because I did the fighting for it. Tortoon was considerably easier because it had base 10 influence but Arken is harder one. I held onto Erwin for like five turns.. and lost it.
Although nothing beats Thalan waltzing into my territory and colonizing Mars only to lose it to me in one turn. lol That one happened in last game. Made me laugh. That one happened int he game before the one i'm currently playing 
Both Tortoon/Arken was still in neutral space so it was no problem. Although Thalan border was slowly approaching both planets.