Hohmann transfer assuming the orbits of earth and mars are circular and coplanar, calculate: (a) the time required for a hohmann transfer from earth orbit to mars orbit (days) (b) the initial position of mars (a ) in its orbit relative to earth for interception to occur (degrees) (c) the launch vehicle c3 required to launch into the transfer orbit (km-/s) (d) the spacecraft delta-v magnitude required to enter martian orbit (km/s)