Option $1.$ Celestial navigation

In a scene in the movie Apollo $13,$ the actor Ed Harris playing NASA Flight Director Ed Kranz draws a trajectory on a chalkboard like the one shown below, and says it's the way for the damaged spacecraft to return home. Is there really such a figure$-$of$-8$ trajectory that leaves the Earth, orbits the Moon, and returns to the Earth at a grazing angle? python code