Attractor Point: attract tree branches to a point

Hi, i'm trying to create a pavilion for my Design project. The pavilion is created from the branches of a mangrove tree forming a closed canopy, some spots left open. I have worked with the attractor point before, but what i'm trying to make now is a lot more complicated. I wanted to make the branches of the trees move with a point, which for my project represents the "sun". I also want the canopy to transform with the branches as they move.  I created the trees using the L-systems and turtle command in Rabbit. Attached is a pic of the trees and the code I used. The last pic is the affect i'm looking for, but with the branches moving, not the actual tree, and with the arc up in space to simulate the "sun". Any help would be appreciated. S.L.