On July 1, 2004, the 4523-kg Cassini spacecraft approached Saturn with hyperbolic excess velocity V∞ = 5.5 km/s to swing by the planet at the closest approach distance rp = 80,680 km. The Isp for the maneuver performed at the closest approach to Saturn to transfer the Cassini spacecraft into a 116-day elliptical orbit having the same periapsis point as the approach (hyperbolic) trajectory.
(a) Compute the impulsive ΔV magnitude required for a maneuver performed at the closest approach to Saturn to transfer the Cassini spacecraft into a 116-day elliptical orbit having the same periapsis point as the approach (hyperbolic) trajectory.
(b) How much propellant would have been consumed by this impulsive orbit insertion maneuver?