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