In the following problems, except where otherwise indicated, assume that the radius of the...

In the following problems, except where otherwise indicated, assume that the radius of the earth is 6378 km, the earth's mass is 5.976(1024) kg, the mass of the sun is 1.99(1030) kg, and the gravitational constant is G = 66.73(10−12)m3/(kg • s2).

The rocket shown is originally in a circular orbit 6 Mm above the surface of the earth. It is required that it travel in another circular orbit having an altitude of 14 Mm. To do this, the rocket is given a short pulse of power at A so that it travels in free flight along the gray elliptical path from the first orbit to the second orbit. Determine the necessary speed it must have at A just after the power pulse, and the time required to get to the outer orbit along the path AA'. What adjustment in speed must be made at A' to maintain the second circular orbit?