1. The problem statement, all variables and given/known data On July 1, 2004, the Cassini spacecraft approached Saturn with hyperbolic excess velocity 5.5 km/s to swing by the planet at the closest approach distance rp = 80,680 km. Compute the impulsive ΔV 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. rp=80,680 km vinf=5.5 km/s T=116 days GMsaturn=3.7931187e7 km^3/s^2 2. Relevant equations vinf=sqrt(GMsaturn/a) 3. The attempt at a solution I know it is an in-plane maneuver going from a hyperbolic approach to an ecliptic approach. If the vinf=sqrt(GM/a) is correct, I get a=1,253,923 km. I am pretty much lost on how to complete this problem. I have done previous examples of Hohmann transfers and heliocentric orbits including the various velocities involved. Any help would be appreciated. Thanks!