Question: A space probe has malfunctioned and is approaching the Earth on a hyperbolic path. At the time of detection, the probe had excess speed

A space probe has malfunctioned and is approaching the Earth on a 

A space probe has malfunctioned and is approaching the Earth on a hyperbolic path. At the time of detection, the probe had excess speed of V = 2.8 km/s, with e = 1.207 and E = 3.916 km/s. We want to capture the probe near-Earth at the perigee of its trajectory and put it on a circular orbit at the moment of capture. Assuming the attempt is successful, calculate the Av needed for the capture. Explain with a simple drawing how this Av will be applied. Show the Earth, hyperbolic trajectory, circular orbit, and velocity vectors at capture.

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