Celestial bodies revolve on elliptic orbits. The Moon’s orbit around the Earth is also elliptic. The Moon’s smallest distance from the center of mass of the Earth-Sun system (which in this problem can be assumed to coincide with the center of the Earth) is r1=\SI360000km and the orbital speed at that distance is v1=\SI1.1km/s. Find the approximately biggest distance between the Moon and the Earth. The mass of the Earth is M=\SI6.0e24kg and the gravitational constant is G=\SI6.7e−11\newton\metre\squared\per\kilo\gram\squared.