A comet following a hyperbolic path about the Sun has a perihelion of 80 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the​ orbit, the comet is 288 Gm from the Sun. Calculate​ a, b,​ c, and e. What are the coordinates of the center of the Sun if the center of the hyperbolic orbit is​ (0,0) and the Sun lies on the positive​ x-axis?