A comet following a hyperbolic path about the Sun has a perihelion of 160 Gm. When the line from the comet to the Sun is perpendicular to the focal...

A comet following a hyperbolic path about the Sun has a perihelion of 160 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 576 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?

The value of a is a=___.

The value of b is b=___.

The value of c is c=___.

The eccentricity e for this problem is ___.

The coordinates of the Sun in this system are ___.