The solar system and the Coriolis effect

[Moises]

TL;DR

Has the coriolis effect on the celestial mechanics of the solar system ever been considered?

After concluding an investigation about the coriolis effect, I wondered how this phenomenon affected the solar system and in particular the moon. Since the moon is a body that moves within the rotating system formed by the sun and the earth, an apparent deviation in the moon's path would be expected but this does not happen, that is, the moon seen from the Earth behaves as if it was not affected by this effect. So far I did not find bibliography dealing with this subject but it is known that the coriolis effect was not discovered until 1835, therefore neither Copernicus, nor Galileo, nor Kepler, nor Newton knew about the existence of this phenomenon of movement, which will occur provided there is a body in motion within a system with angular velocity. Nor does Einstein seem to have addressed this problem.
I can estimate the vector and the position in time of a body in motion under the coriolis effect and the surprising thing is that when I consider this effect in the sun-earth-moon model, it results in the moon moving away from the Earth to an average speed of 260Km / h describing a spiral path orbit. In the case of the Earth and the planets, these would also be in the sun-center rotation system of the galaxy. And in this case the same would happen with the Earth's orbit, only that the speed at which it would move away from the sun would be 1Km / h (which is not much in a short period of time but in a decade it would be very considerable). Nor is this phenomenon observed. That to my understanding suggests two quite controversial possibilities

 

[DrStupid]

So far I did not find bibliography dealing with this subject but it is known that the coriolis effect was not discovered until 1835, therefore neither Copernicus, nor Galileo, nor Kepler, nor Newton knew about the existence of this phenomenon of movement, which will occur provided there is a body in motion within a system with angular velocity. Nor does Einstein seem to have addressed this problem.

They didn't need to consider it because they used non-rotating systems and there is no coriolis effect.

I can estimate the vector and the position in time of a body in motion under the coriolis effect and the surprising thing is that when I consider this effect in the sun-earth-moon model, it results in the moon moving away from the Earth to an average speed of 260Km / h describing a spiral path orbit.

That means there is an error in your estimation.

 

[Moises]

They didn't need to consider it because they used non-rotating systems and there is no coriolis effect.

The coriolis effect is an intrinsic phenomenon of movement that manifests in every body or particle that moves in a rotating frame of reference and the solar system is a rotating frame of reference (although analytically it can be studied as a system at rest, the effect coriolis is a real effect, that is, it cannot be removed from the analysis. See the general acceleration equation)

That means there is an error in your estimation.

I hope you can make your estimation to show that my estimation have an error

 

[PeterDonis]

I hope you can make your estimation to show that my estimation have an error

He already told you your error: you are trying to apply the Coriolis effect in a non-rotating frame, but in a non-rotating frame there is no Coriolis effect. So the "estimate" of the effect in a non-rotating frame is zero.

 

[PeterDonis]

The OP is based on a misunderstanding. Thread closed.