Fast transfer assuming earth and mars are starting with an angle of separation (a) of 41.24°, calculate the following for a 150 day fast transfer to mars (assume the voo vector is aligned with the earth velocity vector-earth is the periapsis of the transfer orbit): (a) the final position of mars (a ) in its orbit (at interception) relative to earth's initial position (at launch) (degrees) (b) the semimajor axis (a) and eccentricity (e) for the transfer orbit. (c) the launch vehicle c3 required to launch into the transfer orbit (km²/s? ) (d) the spacecraft delta-v magnitude required to enter martian orbit (km/s)