****week 15 astronomical advice for earth mathematicians
Post universal gravitation, the thing to do would be to determine sizes of the inverse square laws of the solar system. Get onto the changing shapes and sizes of their quadrants as they move around the galaxy within the sun's inverse square law.
That's the take it or leave it astronomical advice. Remembering that you can never get the locations exact, to find where a minor inverse square law ends and the major one begins, you find the equal and equal points on the far side of the minor inverse square law. And inverse square laws are egged shaped. Not ellipsoids.
How the moon can be outside the earth's inverse square law but accelerating and decelerating as if it is within both the sun and earth inverse square laws is a mystery. If universal gravitation falls by the wayside and that mystery settles into place, professors have plenty to do.
When the moon was still in the earth's inverse square law, the earth-moon push system must have been well established and is still continuing in accordance with what it was when slipping out of the earth's inverse square law. It is gradually losing momentum relative to the earth but why the loss is still in accordance with the inverse square of distance from earth, moving inverse square law professors will work out. Probably does make sense until the moon leaves the earth but still seems a mystery.
From relative motions, the real speed of the sun maybe determinable. Ignoring the ellipses and in two dimensions, this gives interesting results. Then it may be determinable whether or not the earth is behind or in front of the sun at a given point of time. Without question, if our star is moving, it is going to have a bow and a stern. Whether or not they are determinable is the question. If they are, then whether the moon is currently behind or in front of the earth would come next. And then a determination of when the moon is likely to leave the earth could begin. The interest will be whether or not it goes Mars side or Venus side. At this stage, the sun's inverse square law can't be uniquely established between the earth and the moon. You have to go to a few more decimal places to split the earth and sun inverse square law magnitudes.
If the inverse square law gets untangled from Aristotle's ideas, all topics for new thinking. Importantly, professors hopefully will find ways to stop teaching fixed sun planetary motion explanations and also mutual gravitation. After all, a professor with a good conscience is just an honest woman or man with an earth university degree. Might take a hundred years but it'll work out. Throw in the internet, bit quicker.
When the earth and moon galactic speed changes are animated together, it's hard to find other explanation than a system of pushes between them. That is, their relationship is not reasonably explained without them being held apart. Personally can't look at the moon at night and think otherwise. Or, if you aren't trying to add the motion of the earth when you look at the moon, you aren't doing it right.
In general trust should develop when the world understands that those with more intelligence than the rest of us are working on the nuances of the solar system in an appropriate and proper manner.