The creation of absolute/relative space and motion was based on the notion of apparent and true motion while using a celestial sphere framework. The ideology of an equivalency comes from Huygens in his original treatise on the creation of the average 24 hour day using the Equation of Time -

"Here take notice, that the Sun or the Earth passeth the 12. Signes,
or makes an entire revolution in the Ecliptick in 365 days, 5 hours 49
min. or there about, and that those days, reckon'd from noon to noon,
are of different lenghts; as is known to all that are vers'd in
Astronomy. Now between the longest and the shortest of those days, a
day may be taken of such a length, as 365 such days, 5. hours &c. (the
same numbers as before) make up, or are equall to that revolution: And
this is call'd the Equal or Mean day, according to which the Watches
are to be set; and therefore the Hour or Minute shew'd by the Watches,
though they be perfectly Iust and equal, must needs differ almost
continually from those that are shew'd by the Sun, or are reckon'd
according to its Motion. But this Difference is regular, and is
otherwise call'd the Aequation.." Huygens

I have covered what is wrong with the assertions in that passage many times while being mindful that these were the first strides towards accurate clocks, the 24 hour system and the Lat/Long system.

The stony silence of centuries is removed to make way for a new software program that will do what RA/Dec cannot in being able to model the Earth's motions with special attention to cause and effect . This is the 3 part series I promised.