Suppose a shuttle is launched from Earth to carry out a mission to Mars. Suppose also that this shuttle describes an elliptical orbit, for which the minor axis is close to the Sun and the major axis joins the orbit of Earth and that of Mars.

1. Determine the values of the parameters λ and ε for the following equation of motion

 

2. Determine the duration of the trip until Mars.

1+e r = X(, 1+ ecose