2 Elusive Answers

Indeed it sounds like a standard exercise to establish the story of how the Earth-Moon came to be, then we can leave it and get on with the Big-Bang and the promised keys to the Universe.

It's hard to believe

The time is early during the formation of the solar system. The current alternative possibilities are a variety of speculations, and of a primeval massive crash "a Mars size body collided in a glancing blow" with the original Earth-Moon body.

Alternatives are the "capture" theory; or a "co-accretion"; and then "fission" as a spontaneous breaking loose, very rapid orbiting and slowly separating of the Moon through the ages.

Smash-and-grab Hit-and-run

Investigating proposed possibilities apparently the theory favoured at present is the supposed giant-impact hypothesis. It is of a massive collision but really it is absurd, how can such a massive violent impact result in such a stable situation? One could obtain some idea from linear momentum trying out approximate sets of data to get an idea. This type of problem is usually not hard.

The sheer scale boggles the mind the unbelievable linear momentum of such massive bodies at such terrific speeds how could it all possibly land up in our nice neat comfortable orbit?

I think any mechanical engineer would agree this would definitely take a miracle Old Testament scale event. This hit and run currently popular explanation is highly unlikely already merely from a mechanics viewpoint. It is the story of an invisible car that came from nowhere, crashed my car and disappeared into nowhere ...

Might be

The same also applies to the more subtle capture theory, where the Moon came from outside as well and was caught in orbit around the Earth. One could try some meaningful calculations for this too.

There also is the idea that the two bodies formed separately out of a rotating gas and dust cloud, the co-accretion. It also implies the formation was from inherent forces and spontaneous. If a system of particles is spinning that fast and to break in parts at such proximity and with gravitation forces being very weak, one would expect it all just to expand and dissipate.

Actually this is a form of fission. Are there examples of this kind of thing is there any tangible proof of possible existence of such things? Or experiments perhaps?

Celestial mechanics

Very basic physics considerations of mechanical energy and of momentum especially can provide convincing arguments.

There are also other attempted explanations but they seem for the most part just as far-fetched and only qualitative as well. How could it all possibly land up in such a safe soft comfy cosy situation, balanced delicately on a knife edge?

On the other hand the "fission" idea has long ago been mostly simply dismissed and on little grounds really. Yet it seems in none of the other theories has there been any real proper quantitative investigation only for fission was serious analysis and concrete mathematics done.

Wishful thinking

There are meaningful calculations possible such as I've done, although analysis of my model did not result in a favourable answer. For the simple model it does not hold. To me unbelievably so but however attractive, my explanation of events is also wrong.