Okay. Do you have a worked example of observations of Mercury's orbit using the method you espouse?
Forensics is a genuine chore but necessary at present to clear out the voodoo merchants.
The crown jewel of theorists is meant to be the inverse square law as they call it but it was an attempt to fit astronomical predictions into a celestial sphere framework that emerged with accurate clocks in the late 17th century. This 'clockwork solar system' is a timekeeping contrivance which allows observers to predict astronomical events like transits as exact times and dates within the 365/366 day calendar system and comes down to us today as RA/Dec. It is further away from heliocentricity as the geocentric system was as it puts the Sun in a wandering motion along with the planets -
Newton attempted to make astronomical predictions look like experimental predictions which is why none of his followers have the slightest idea how to interpret observations and motions in space and make nuisances of themselves with their 'no centre/no circumference' celestial sphere universe that even the geocentric astronomers hated -
"And wherever anyone would be, he would believe himself to be at the
centre. Therefore, merge these different imaginative pictures so that
the center is the zenith and vice versa. Thereupon you will see--
through the intellect..that the world and its motion and shape cannot
be apprehended. For the Universe will appear as a wheel in a wheel and
a sphere in a sphere-- having its center and circumference
nowhere. . . " Nicolas of Cusa, 15th century
What is people like to say ? - garbage in and garbage out which sums up astrophysics while genuine astronomy is there for everyone else. The whole purpose is that the shelf life of voodoo merchants has passed with too many images and time lapse observations to enjoy. I am sure you will have a die-hard audience but they also haven't shown much confidence or competence in the relevant areas.