1. 2. 3. You have decided to join the ranks of Absurdly Rich Space Tourists (ARST) and go on a wonderful vacation to Mars and back. That should make all the other ARST insanely jealous since you are going to Mars and they never even got into Earth orbit. For the orbital dynamics part of your vacation planning assume that Earth is in a circular orbit 1.00 AU from the Sun, Mars is in a circular orbit 1.52 AU from the the Sun, and that the the orbits are coplanar. The orbit you plan to use for your trip is an ellipse with the Sun at one focus (Kepler's 1st Law). The perihelion of the ellipse is at Earth's orbit at 1.00 AU and the aphelion is at Mars' orbit at 1.52 AU. Your spacecraft will go around the Sun in the same sense as Earth and Mars. The orbit you have chosen for your trip is called a Hohmann Transfer Orbit. For this problem assume that the orbital period of Earth is 365 days and the orbital period of Mars is 684 days. Check that Kepler's Third Law holds for Earth and Mars. What is the semi-major axis a of the spacecraft's orbit? What is the eccentricity e of the spacecraft's orbit? What is the orbital period of the spacecraft? How long does it take to get to Mars? How long does it take to get from Mars to Earth?

1. 2. 3. You have decided to join the ranks of Absurdly Rich Space Tourists (ARST) and go on a wonderful vacation to Mars and back. That should make all the other ARST insanely jealous since you are going to Mars and they never even got into Earth orbit. For the orbital dynamics part of your vacation planning assume that Earth is in a circular orbit 1.00 AU from the Sun, Mars is in a circular orbit 1.52 AU from the the Sun, and that the the orbits are coplanar. The orbit you plan to use for your trip is an ellipse with the Sun at one focus (Kepler's 1st Law). The perihelion of the ellipse is at Earth's orbit at 1.00 AU and the aphelion is at Mars' orbit at 1.52 AU. Your spacecraft will go around the Sun in the same sense as Earth and Mars. The orbit you have chosen for your trip is called a Hohmann Transfer Orbit. For this problem assume that the orbital period of Earth is 365 days and the orbital period of Mars is 684 days. Check that Kepler's Third Law holds for Earth and Mars. What is the semi-major axis a of the spacecraft's orbit? What is the eccentricity e of the spacecraft's orbit? What is the orbital period of the spacecraft? How long does it take to get to Mars? How long does it take to get from Mars to Earth?