Moving pattern's starting point on a path

Hello,

I have had this problem since I started using patterns.

Basically when I put a pattern on a path I want to then move it along that path so it starts where I want it to start, not neccessarily on the path's starting point.

There is an image of how it looks like

I created a simple pattern to show my issue. For example I want to move this pattern along this circle so it looks like this (triangle points up)

As you can see I rotated the whole circle to get the right outcome I need, but if it was just a regular path I would not be able to fix it this way.

Is there a way to do that? Something like moving text along a path.

I am using Illustrator CC.

Thanks