A satellite is placed in an elongated elliptical (not circular)orbit around the Earth. At the point in its orbit where it isclosest to the Earth, it is a distance of 1.00 × 10^6m from the surface (not the center) of the Earth,and is moving at a velocity of 5.14 km/s. At thepoint in its orbit when it is furthest from the Earth it is adistance of 2.00×10^6 m from the surface of theEarth. (Note that the Earth has a mass of 5.97×1024kg and a radius of 6.37×106 m.)
(a) How fast is the satellite moving when it is at its furthestpoint from the Earth?
(b) If, at the closest approach to the Earth, the satellitecould be deflected so that it had the same velocity as before, butwas now traveling directly away from the Earth, how far from thesurface of the Earth would it get before it stopped, and thenstarted to fall back to the Earth?