[SOLVED][LibGDX] Rotate around a shape in a non-circular motion

Game Mechanics
#1

I am trying to rotate these circles around the black shape. Currently, they are rotating in a circular motion, but I want them to travel from vertex to vertex.

Rotation code:

  //central is the black shape
         angle += delta * rotSpeed * direction;
        x = MathUtils.cos(angle) * central.radius + central.x;
        y = MathUtils.sin(angle) * central.radius + central.y;

Thank you guys very much for helping me!