NASA sends satellites to Mars by placing the satellite in a Keplerian orbit (that is, around the sun) in such a way that the perihelion is at the radius of Earth's orbit (1 AU) and the aphelion is at the radius of the Mars's orbit (1.52 AU). Most of the trip to Mars is merely free fall in the sun's gravitational field. The small gravitational effects of Earth and Mars, which only influence the satellite at the very starting and end of the trip, might be neglected. Compute the time it takes the satellite to travel from Earth to Mars. Describe the result in days.