I'm not heavy enough into astronomy to really talk about it. But I was just thinking that perhaps it was a situation where AC might be closest to Sol AP could be closer to AC than Sol was in the opposite direction.
For lack of visuals I'll use numbers take: 1, 7, 10, and 15. 1 is Sol, 7 is AC, and 10 is AP. 10 is closer to 7 than 1 is but 7 is still the closest to 1.
But that's neither here nor there if that isn't at all the case. Which it sounds like that is what you are saying.