NASA sends satellites to the Mars by placing the satellite in a Keplerian orbit (about the sun) such that the perihelion is at radius of the Earth's orbit (1 AU) and the aphelion is at the radius of Mars's orbit (1.52 AU). Mostly the trip to Mars is just free fall in the sun's gravitational field. The small gravitational consequences of Earth and Mars, which merely 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. Express the outcome in days.