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 (that is, 1.52 AU). Most of the trip to Mars is mere 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 avoided. Compute the time it takes the satellite to travel from Earth to Mars. State the result in days.