How the Moon stays “up there”^^^
The following explanation is wrong in a number of ways, but I hope you get a feel for it:
1. Put a weight on a bit of string and gently spin it around (don’t hit yourself or anyone else).
2. Do you feel the weight pulling-away at your hand? That is the “spinning” energy you imparted. The moon has a lot of that. (If you stop spinning, the weight falls toward Earth; if the moon span slower, it would fall to Earth).
3. You are resisting it flying-away through holding the string and that is like the effect of gravity between Earth and Moon. The gravity is acting through “invisible string”. (if you let go of the string, it will fly-away; if gravity “failed”, the moon would fly away)
4. Because the moon’s spinning and the gravity are in equilibrium (balanced), the Moon is a satellite body i.e. it neither falls to Earth, not pulls away.
5. Actually, but not noticeably to us, the moon is so large that the moon does not spin around the centre of the Earth – they spin around each other: “Considering the Earth–Moon system as a binary planet, their mutual centre of gravity is within the Earth, about 4624 km from its centre”. That is a slightly odd thought to the normal Earth-centric paradigm!
OK?
[now get a physicist to explain this properly]