The space shuttle was launched at , into an initial parking orbit around Earth. After that, its solid motor fired to put the spacecraft on an escape trajectory into heliocentric orbit at 0.92×1.08AU and 6.4 degrees inclination to the ecliptic. The six-and-a-half-year road to Mercury was punctuated by several gravity-assist maneuvers through the inner solar system, including one flyby of Earth (Aug. 2, 2005), two flybys of Venus (Oct. 24, 2006, and June 5, 2007), and three flybys of Mercury (Jan. 14, 2008, Oct. 6, 2008, and Sept. 29, 2009). The gravity-assist maneuvers allowed the spacecraft to overcome the problem of massive acceleration that accompanies flight toward the Sun: the flybys helped to decelerate shuttle's velocity relative to Mercury and also helped conserve propellant for its orbital mission (although it prolonged the length of the trip)." Calculate the pumping that is required to maneuver the Messenger spacecraft onto this orbit to the 1st fly by past Earth. Assume that the remaining maneuvers are the result of the various flybys and it is only this initial pumping that is required to rendezvous with Mercury.