A small satellite revolves around a heavy planet in a circular orbit. At certain point in its orbit a sharp impulse acts on it and instantaneously increases its kinetic energy to 'k' `(lt2)` times without change in its direction of motion show that in its subsequent motion the ratio of its maximum and minimum distance from the planet is `(k)/(2-k)` assuming the mass of the satellite is negligibly small as compared to that of the planet.