Hmm.. let me see. Do you have any books suggested to support yourself?
The reason for the moon not following into earth is because it's stuck in the centrofield orbital space. Where at an extent, the gravity of the Sun cancels the gravity of earth. To be more precise, the gravity of earth candles the gravity of the Sun to an extent as at that range, the gravity of sun is larger pulling the moon outwards. As it rotates around, it reaches a point where the sun's gravity is in the same direction as the earth's. This is called the oval-orbital space. It's a visual deficiency that in books and stuff, the orbit of the moon is shown round. Nontheless, there you go.
Books: Time Science Library "Man and Space" published around 1960
My son's science book, circa 2012 (I forget the author/publisher)
"Centrofield orbital space" - gobbledygook. The gravity of the Sun does not "cancel" the gravity of the Earth in the Moon's orbit. There is a point at which they sum to zero, since they are vector fields. But that's in a single location, not an orbit.
"the gravity of earth candles the gravity of the Sun to an extent as at that range, the gravity of sun is larger pulling the moon outwards." - No.
"This is called the oval-orbital space." - No.