1) What force pulls the sun and moon up and down the atmoplane?
It is called the leg-pull force.
2) What is this type of movement called? Where the sun and moon rotate around a point, but also go up and down while rotating?
It is called the pole dance of the celestial orbs.
3) Has the sun diameter been measured to be smaller right before and right after a solar eclipse? Or has the moon been measured larger in the same instances?
Has the sun diameter been measured to change at all as it skips about 3,000 miles above the FE surface?
4) How far are the sun and the moon from each other in a solar eclipse? In a lunar eclipse?
Close enough to exchange bodily fluids by which new stars come into being.
5) Does the fact that during an eclipse the sun is coming very close to the moon alter the bioluminescent bacteria in some way?
Yes, they go on holiday.
6) Is there a way to predict solar and lunar eclipses taking in consideration the earth is flat, without using RE algorithm?
FEers don't like math.
7) Are the effects of harmful moonlight exposure mitigated when in lunar eclipse?
A lunar eclipse causes werewolf de-transformation although they still maintain their werewolf persona in human form going on serial killing sprees.
And now that you have been let in on the secret please don't report me to the mods.