The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity

and one focus at the Sun. The length of its major axis is

AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is

and the aphelion distance is

.) Find the answer in AU and round to the nearest hundredth.