Well, the heliocentric theory involves an increasing degree of complexity. Orbiting speeds, rotation speeds, tilt, precession, spiraling around the galaxy.
No, it doesn't.
You wanted to pretend it is all complex doesn't actually make it complex.
Orbits are explained via gravity, so there is a single force there. Quite simple.
Naturally with orbits, there will be speeds.
That isn't complexity.
Why are there sidereal days?
As a direct consequence of the combination of rotation and orbit.
This has been explained to you multiple times.
If you have an object rotating about its axis while it also orbits another object, then there will necessarily be a difference in time it takes for it to complete one rotation relative to the surrounding space, and relative to the object it is orbiting.
It isn't an excuse that has been invented, it is a direct consequence.
It also matches what is observed in reality, with the stars appearing to circle Earth's axis once every sidereal day while the sun does so on average once ever solar day.
So no, this isn't an excuse, and regardless of what model you wish to you, you need to have these 2 different periods.
The combination of the orbit and rotation (and axial tilt), simply and directly explain why the stars appear to circle Earth's axis, without any significant change in their position on the celestial sphere throughout the year, and why the sun does appear to change position, including going between the tropics. And the eccentricity of the orbit explains why there is more days in one half of the year (as divided by the equinoxes).
The FE has no explanation for this.
They have the stars magically rotate as a disc with one period for no reason at all, and then have the sun trace out a different path, with a different period for no reason at all, and have the path of the sun extremely chaotic where instead of simply circling the axis at a fixed point, it changes its position throughout the year first getting a larger and faster orbit to reach the southern tropic before stopping and getting a smaller and slower orbit, all for no reason at all, and no reason for why it takes a different amount of time.
If we can't see Polaris, it's because we are too far from the center
It isn't just that we can't see it.
It is how it goes from being visible directly overhead to not being visible.
The angle of elevation matches the latitude of the observer.
At the equator it is still very bright and easy to see, but quite close to the horizon.
If you continue going south of the equator, and continue that trend it goes below the horizon.
If you are close enough to the equator, but still south of it (and this can be quite far, depending on the camera used), you can still set up a camera pointed at the north celestial pole (noting that will be towards the ground), and record a time-lapse of the night sky and observe the stars appearing to circle the north celestial pole, below the ground.
This shows it isn't simply distance.
If it was simply distance, we would expect it to grow dimmer as we moved further away, eventually vanishing while still fairly high in the sky as it blurred in with the rest of the sky.
Again, the RE explains it wonderfully.
Objects in the sky appear where you would expect them to for a RE, with these objects very far away and visible to half of Earth at a time.
For a FE, there is no explanation.
They appeal to all sorts of vague nonsense without coming up with a coherent idea which can match multiple observations at once.
The only thing even remotely viable is magical bendy light which bends in such a manner to make a FE appear round. In effect, the FEers need to appeal to nature itself conspiring to make Earth appear round.
So from that it is quite clear which is the simpler model. And it isn't the FE.
If you want the FE to be the simpler model, you need to explain how this works and how the FE is simpler.
not because we are hanging upside-down on a rotating Earth
We aren't hanging upside down.
We are attracted to Earth due to gravity.
This is the same fundamental force discussed before and adds no complexity to the RE model.
But for the FE model, you need to explain why things fall, and more specifically why only things a short distance above Earth's surface falls to Earth.
You need to explain why this doesn't depend on the mass of the object, and only depends on the density to the effect that the buoyant force pushes the object upwards.
You need to explain why this varies across Earth, such that the equator has a lower rate of acceleration than the poles.
You need to explain why Earth itself isn't falling.
You also need to explain why the sun, the moon, the other planets, the other stars and so on aren't falling.
And then you either need to explain how satellites stay up, or also appeal to more conspiracy.
the constellations are all required to keep pace with this Earth, while staying perfectly in position so that we can see Orion's Belt or the Little Dipper and it doesn't shift or get pulled apart.
Again, we have distance.
That is all we really need.
The fact that these objects are so far away, there would not be any significant change due to Earth's yearly orbit around the sun, not without incredibly accurate and precise tools, which can and do measure a change.
The orbit of the sun around the galactic centre takes far too long for a single person to notice significant changes, again without highly accurate and precise tools to measure it.
But there are changes, they don't stay perfectly in position.
And again, compare this to the FE.
For the FE, you have the stars much much closer, and move a great distance compared to that.
Yet the constellations, as long as they are still visible (and you can't explain why they aren't) look almost exactly the same.
If Earth was flat there should be significant difference.
Even over the course of a night you should see drastic changes in how the stars appear.
So yet again, the FE needs to resort to pure magic to try and have the sky of a FE appear exactly as you would expect the sky of a RE to appear.
Why not take the simpler option and accept Earth is round?
Also notice that you are conflating multiple issues.
One is that of RE vs FE.
The other is HC vs GC (and even then, it isn't really HC, but that can still be used to identify it to contrast it to the GC model).
You actually buy this stupid theory?
No, I don't buy this stupid nonsense spouted by FEers.
I accept what the evidence shows and accept a simpler model that doesn't require nature itself conspiring to hide the truth.
That means I accept the RE model.