4. Mars and Earth, at their closest theoretical positions, are 54.6 million km apart. The mass of Earth is 5.97 x 1024 kg, and the mass of Mars is 6.39 x 1023 kg. A satellite of mass 9550 kg is to be placed such that the forces of gravity between the satellite and the two planets are equal in magnitude. Determine two possible locations for this to occur. (Lagrange points) [5]