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An Apollo spacecraft describes a circular orbit with a 2414 km radius around the moon with...

An Apollo spacecraft describes a circular orbit with a 2414 km radius around
the moon with a velocity of 5133 km/h. In order to transfer it to a smaller
circular orbit with a 1930 km radius, the spacecraft is first placed on an
elliptical path AB by reducing its velocity to 4827 km/h as it passes through A.
Determine (a) the velocity of the spacecraft as it approaches B on the elliptic
path, (b) the value to which its velocity must be reduced at B to insert it into the
smaller circular orbit and the change in velocity that results.

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