Halley's comet moves around the Sun in an elliptical orbit, with its closest approach to the Sun being 0.59 A.U. and its greatest distance being 35 A.U. (1 A.U. = Earth-Sun distance). When the speed of comet at closest approach is around 52 km/s, Determine its speed if it is farthest from the Sun? You might avoid any change in the comet's mass and suppose that its angular momentum around the Sun is conserved.