3.35 its A spacecraft in a circular orbit wishes to transfer to another circular orbit of quarter the radius by means of a tangential thrust to move into an elliptical orbit and a second tangential thrust at the opp0site end of the ellipse to move into the desired circular orbit. (The picture looks like Figure 3.13 but run backwards.) Find the thrust factors required and show that the speed in the nal orbit is two times greater than the initial speed. Figure 3.13 Two successive boosts. at P and P', transfer a satellite from the smaller circular orbit 1 to a transfer orbit 2 and thence to the nal circular orbit 3