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orbitsnerd
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Homework Statement
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
Homework Equations
vinf=sqrt(GMsaturn/a)
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!